{ "problem_id": "auto_problem_092", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "correct_answer": "Optimal feasible solution found via LP", "tree_type": "modification", "root_id": "node_0", "total_nodes": 3471, "max_depth": 9, "nodes": { "node_0": { "node_id": "node_0", "content": "INITIAL DESIGN (Trace 0)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 164.72 kg\n Factor of Safety: 1.11\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1": { "node_id": "node_1", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 167.94 kg\n Factor of Safety: 1.15\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.9425917652479, "fos_buckling": 1.152407342761327, "fos_yielding": 5.212622963107354, "deflection": 0.0018051147000515068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001996)" }, "parent_node_id": "node_0", "improvement_over_parent": null }, "node_2": { "node_id": "node_2", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 199.95 kg\n Factor of Safety: 1.35\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.95255021898626, "fos_buckling": 1.3520134097883985, "fos_yielding": 6.187223346059172, "deflection": 0.0015213510450111658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_1", "improvement_over_parent": null }, "node_3": { "node_id": "node_3", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0042)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 203.19 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.18782785386202, "fos_buckling": 1.3825499693465129, "fos_yielding": 6.183193086308438, "deflection": 0.0015156176737735243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.475)" }, "parent_node_id": "node_2", "improvement_over_parent": null }, "node_4": { "node_id": "node_4", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3", "improvement_over_parent": null }, "node_5": { "node_id": "node_5", "content": "INITIAL DESIGN (Trace 1)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_6": { "node_id": "node_6", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 180.63 kg\n Factor of Safety: 0.51\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.62870140497756, "fos_buckling": 0.5070947050703062, "fos_yielding": 3.506929964628019, "deflection": 0.004447191485689645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_5", "improvement_over_parent": null }, "node_7": { "node_id": "node_7", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 196.87 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87404764597466, "fos_buckling": 0.506185131346203, "fos_yielding": 3.500676700017805, "deflection": 0.004054339993494094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_6", "improvement_over_parent": null }, "node_8": { "node_id": "node_8", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16957369917762, "fos_buckling": 1.552138005372389, "fos_yielding": 6.319943716141323, "deflection": 0.0014898983395302122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_7", "improvement_over_parent": null }, "node_9": { "node_id": "node_9", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_8", "improvement_over_parent": null }, "node_10": { "node_id": "node_10", "content": "INITIAL DESIGN (Trace 2)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_11": { "node_id": "node_11", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n\nPerformance:\n Mass: 89.93 kg\n Factor of Safety: 0.59\n Max Deflection: 3.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.92547017648485, "fos_buckling": 0.5856368276637746, "fos_yielding": 2.7629710534132634, "deflection": 0.0034155156971294683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.001883)" }, "parent_node_id": "node_10", "improvement_over_parent": null }, "node_12": { "node_id": "node_12", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0018)]\n\nPerformance:\n Mass: 98.06 kg\n Factor of Safety: 0.74\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.06449655442442, "fos_buckling": 0.7360765954699494, "fos_yielding": 2.7592080713311966, "deflection": 0.0030636880203034674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.001818)" }, "parent_node_id": "node_11", "improvement_over_parent": null }, "node_13": { "node_id": "node_13", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0023)]\n\nPerformance:\n Mass: 121.53 kg\n Factor of Safety: 0.89\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.52570926674449, "fos_buckling": 0.8910022360590822, "fos_yielding": 3.4106387699552627, "deflection": 0.0024791209950142273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_12", "improvement_over_parent": null }, "node_14": { "node_id": "node_14", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0023)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n\nPerformance:\n Mass: 132.04 kg\n Factor of Safety: 1.08\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.03746618701206, "fos_buckling": 1.0756848288505718, "fos_yielding": 4.117579320291605, "deflection": 0.0022849364687160655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002326)" }, "parent_node_id": "node_13", "improvement_over_parent": null }, "node_15": { "node_id": "node_15", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 160.35 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.35226941924984, "fos_buckling": 1.2719179319713951, "fos_yielding": 4.9859481593775055, "deflection": 0.0018876101536723284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_14", "improvement_over_parent": null }, "node_16": { "node_id": "node_16", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03161888155287, "fos_buckling": 1.5512791060516296, "fos_yielding": 6.315605237294069, "deflection": 0.0014909580286386185, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_15", "improvement_over_parent": null }, "node_17": { "node_id": "node_17", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_16", "improvement_over_parent": null }, "node_18": { "node_id": "node_18", "content": "INITIAL DESIGN (Trace 3)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 95.05 kg\n Factor of Safety: 0.19\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.05019218947905, "fos_buckling": 0.1895487674919925, "fos_yielding": 1.4791137601005095, "deflection": 0.007571145801355376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_19": { "node_id": "node_19", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 109.51 kg\n Factor of Safety: 0.21\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.51126015270587, "fos_buckling": 0.21477128244204918, "fos_yielding": 1.701122957779626, "deflection": 0.006582905206199742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_18", "improvement_over_parent": null }, "node_20": { "node_id": "node_20", "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 110.31 kg\n Factor of Safety: 0.21\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.31174352831196, "fos_buckling": 0.21475212425901763, "fos_yielding": 1.7009712129810957, "deflection": 0.006569026874281534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.190)" }, "parent_node_id": "node_19", "improvement_over_parent": null }, "node_21": { "node_id": "node_21", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 134.85 kg\n Factor of Safety: 0.26\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.85204060282814, "fos_buckling": 0.2551320243475908, "fos_yielding": 2.0732914037921755, "deflection": 0.005389328190045766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_20", "improvement_over_parent": null }, "node_22": { "node_id": "node_22", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 164.89 kg\n Factor of Safety: 0.30\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.88543319147522, "fos_buckling": 0.3009593694894091, "fos_yielding": 2.5259211909461143, "deflection": 0.004423550986703761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_21", "improvement_over_parent": null }, "node_23": { "node_id": "node_23", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 1.48\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.74332411983906, "fos_buckling": 1.477163026291947, "fos_yielding": 6.202451486114395, "deflection": 0.00150737880130278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_22", "improvement_over_parent": null }, "node_24": { "node_id": "node_24", "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0068)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 209.59 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.59091949010806, "fos_buckling": 1.519291072429908, "fos_yielding": 6.023380312471806, "deflection": 0.0014672071677473025, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.597)" }, "parent_node_id": "node_23", "improvement_over_parent": null }, "node_25": { "node_id": "node_25", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_24", "improvement_over_parent": null }, "node_26": { "node_id": "node_26", "content": "INITIAL DESIGN (Trace 4)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 86.40 kg\n Factor of Safety: 0.52\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.4049502830001, "fos_buckling": 0.5192696338910419, "fos_yielding": 2.449407357531068, "deflection": 0.0034988197619340144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_27": { "node_id": "node_27", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 110.16 kg\n Factor of Safety: 0.65\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.16285099472155, "fos_buckling": 0.648097043979864, "fos_yielding": 3.1151858942391466, "deflection": 0.002751405807119567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_26", "improvement_over_parent": null }, "node_28": { "node_id": "node_28", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 127.51 kg\n Factor of Safety: 0.74\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.50553950654161, "fos_buckling": 0.738346249355933, "fos_yielding": 3.5991158815841655, "deflection": 0.0023816805373087276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_27", "improvement_over_parent": null }, "node_29": { "node_id": "node_29", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 163.92 kg\n Factor of Safety: 0.92\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.9241613052404, "fos_buckling": 0.9174622901199644, "fos_yielding": 4.609694157340087, "deflection": 0.0018599113677688838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_28", "improvement_over_parent": null }, "node_30": { "node_id": "node_30", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.69 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.69163493610702, "fos_buckling": 1.0312340983242605, "fos_yielding": 5.292630657451059, "deflection": 0.0016201313311578582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_29", "improvement_over_parent": null }, "node_31": { "node_id": "node_31", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.29 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.28645500650083, "fos_buckling": 1.552915670230806, "fos_yielding": 6.323811725783752, "deflection": 0.0014890404111636399, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_30", "improvement_over_parent": null }, "node_32": { "node_id": "node_32", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_31", "improvement_over_parent": null }, "node_33": { "node_id": "node_33", "content": "INITIAL DESIGN (Trace 5)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 113.27 kg\n Factor of Safety: 0.85\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.26694073098868, "fos_buckling": 0.8482361692799647, "fos_yielding": 2.1461111576873595, "deflection": 0.0028326739683312615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_34": { "node_id": "node_34", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 127.25 kg\n Factor of Safety: 0.94\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.24692703784781, "fos_buckling": 0.9393299202570192, "fos_yielding": 2.4130551524024333, "deflection": 0.0025244236534981658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_33", "improvement_over_parent": null }, "node_35": { "node_id": "node_35", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 164.72 kg\n Factor of Safety: 1.17\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.72192188451427, "fos_buckling": 1.1690488452043466, "fos_yielding": 3.131886629345641, "deflection": 0.0019561155068577893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_34", "improvement_over_parent": null }, "node_36": { "node_id": "node_36", "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 167.05 kg\n Factor of Safety: 1.17\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.0517758441853, "fos_buckling": 1.1687472588741792, "fos_yielding": 4.66572336516292, "deflection": 0.0018131873364389743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.531)" }, "parent_node_id": "node_35", "improvement_over_parent": null }, "node_37": { "node_id": "node_37", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 181.50 kg\n Factor of Safety: 1.41\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.49972991746614, "fos_buckling": 1.4107096442058786, "fos_yielding": 5.631654661395544, "deflection": 0.0016716893225750089, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003270)" }, "parent_node_id": "node_36", "improvement_over_parent": null }, "node_38": { "node_id": "node_38", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9664626204491, "fos_buckling": 1.5509014629242948, "fos_yielding": 6.314134276599471, "deflection": 0.0014913875796989595, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_37", "improvement_over_parent": null }, "node_39": { "node_id": "node_39", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_38", "improvement_over_parent": null }, "node_40": { "node_id": "node_40", "content": "INITIAL DESIGN (Trace 6)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 104.94 kg\n Factor of Safety: 0.89\n Max Deflection: 2.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.94175890334581, "fos_buckling": 0.8891258338605076, "fos_yielding": 2.7811415577253418, "deflection": 0.0029154160217464494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_41": { "node_id": "node_41", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 127.71 kg\n Factor of Safety: 1.06\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.71107229079722, "fos_buckling": 1.0621658844973325, "fos_yielding": 3.3820011743268026, "deflection": 0.0024014897638019042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_40", "improvement_over_parent": null }, "node_42": { "node_id": "node_42", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 128.55 kg\n Factor of Safety: 1.05\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.55030313893772, "fos_buckling": 1.0506673760862515, "fos_yielding": 4.012044889075654, "deflection": 0.0023457872709462344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.212)" }, "parent_node_id": "node_41", "improvement_over_parent": null }, "node_43": { "node_id": "node_43", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 143.65 kg\n Factor of Safety: 1.16\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.6543555904715, "fos_buckling": 1.1576216215427644, "fos_yielding": 4.476419106148348, "deflection": 0.002102807297499741, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_42", "improvement_over_parent": null }, "node_44": { "node_id": "node_44", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.89321606438938, "fos_buckling": 1.368022413684419, "fos_yielding": 5.4322559002639315, "deflection": 0.0017334282456128378, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_43", "improvement_over_parent": null }, "node_45": { "node_id": "node_45", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.50 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.5020130024116, "fos_buckling": 1.554100804353749, "fos_yielding": 6.33253287256966, "deflection": 0.0014874940318827105, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_44", "improvement_over_parent": null }, "node_46": { "node_id": "node_46", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_45", "improvement_over_parent": null }, "node_47": { "node_id": "node_47", "content": "INITIAL DESIGN (Trace 7)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 108.08 kg\n Factor of Safety: 0.57\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.08163854908246, "fos_buckling": 0.573906644644389, "fos_yielding": 2.5928975817669606, "deflection": 0.002845408733522187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_48": { "node_id": "node_48", "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 109.41 kg\n Factor of Safety: 0.58\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.41091133021403, "fos_buckling": 0.5779047169948804, "fos_yielding": 3.578624356454446, "deflection": 0.002716080820596156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.435)" }, "parent_node_id": "node_47", "improvement_over_parent": null }, "node_49": { "node_id": "node_49", "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 111.70 kg\n Factor of Safety: 0.81\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.70453090776168, "fos_buckling": 0.8142197020984906, "fos_yielding": 3.590350195449358, "deflection": 0.0026568632635337484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.592)" }, "parent_node_id": "node_48", "improvement_over_parent": null }, "node_50": { "node_id": "node_50", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 130.47 kg\n Factor of Safety: 0.93\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.47030787094977, "fos_buckling": 0.9333636837173845, "fos_yielding": 4.185331458378963, "deflection": 0.002279593302331634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_49", "improvement_over_parent": null }, "node_51": { "node_id": "node_51", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n\nPerformance:\n Mass: 135.70 kg\n Factor of Safety: 1.10\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.69553871011746, "fos_buckling": 1.1016888718131133, "fos_yielding": 4.231926655959361, "deflection": 0.0022240843457828176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001828)" }, "parent_node_id": "node_50", "improvement_over_parent": null }, "node_52": { "node_id": "node_52", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 175.13 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.13005232464124, "fos_buckling": 1.369560687089797, "fos_yielding": 5.4395046086631025, "deflection": 0.00173111922479798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_51", "improvement_over_parent": null }, "node_53": { "node_id": "node_53", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14648763037607, "fos_buckling": 1.5519414373848348, "fos_yielding": 6.321785270135649, "deflection": 0.0014900136368803346, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_52", "improvement_over_parent": null }, "node_54": { "node_id": "node_54", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_53", "improvement_over_parent": null }, "node_55": { "node_id": "node_55", "content": "INITIAL DESIGN (Trace 8)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 141.54 kg\n Factor of Safety: 0.42\n Max Deflection: 6.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.5440295837563, "fos_buckling": 0.4209560745437671, "fos_yielding": 1.9197810657004546, "deflection": 0.006840020127966612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_56": { "node_id": "node_56", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.72 kg\n Factor of Safety: 0.51\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.72264774712264, "fos_buckling": 0.5078862276222815, "fos_yielding": 2.4148477269554443, "deflection": 0.005491939182936125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_55", "improvement_over_parent": null }, "node_57": { "node_id": "node_57", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 180.24 kg\n Factor of Safety: 0.51\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.23683018995624, "fos_buckling": 0.5076740307320903, "fos_yielding": 3.511611836301697, "deflection": 0.005233720136847546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.499)" }, "parent_node_id": "node_56", "improvement_over_parent": null }, "node_58": { "node_id": "node_58", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 186.45 kg\n Factor of Safety: 1.01\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.4476419821538, "fos_buckling": 1.0071806970848722, "fos_yielding": 3.555393250936886, "deflection": 0.001932506246097424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002794)" }, "parent_node_id": "node_57", "improvement_over_parent": null }, "node_59": { "node_id": "node_59", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 200.32 kg\n Factor of Safety: 1.42\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.31799985311167, "fos_buckling": 1.4159967959980413, "fos_yielding": 4.332389710466832, "deflection": 0.0015999663542096546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_58", "improvement_over_parent": null }, "node_60": { "node_id": "node_60", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 201.03 kg\n Factor of Safety: 1.42\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.02824317053134, "fos_buckling": 1.4176963284080966, "fos_yielding": 4.332980006438314, "deflection": 0.0015964839719781188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.192)" }, "parent_node_id": "node_59", "improvement_over_parent": null }, "node_61": { "node_id": "node_61", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 203.71 kg\n Factor of Safety: 1.41\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.70562583224128, "fos_buckling": 1.4091374770550382, "fos_yielding": 6.048033148075877, "deflection": 0.0015093322168989068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.555)" }, "parent_node_id": "node_60", "improvement_over_parent": null }, "node_62": { "node_id": "node_62", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_61", "improvement_over_parent": null }, "node_63": { "node_id": "node_63", "content": "INITIAL DESIGN (Trace 9)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 150.95 kg\n Factor of Safety: 1.05\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.95054545346855, "fos_buckling": 1.0508348363127455, "fos_yielding": 4.693177173338387, "deflection": 0.001999819316662731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_64": { "node_id": "node_64", "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 151.79 kg\n Factor of Safety: 1.08\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.7919866274018, "fos_buckling": 1.07562050147525, "fos_yielding": 4.741314184865534, "deflection": 0.0019915434974725242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.445)" }, "parent_node_id": "node_63", "improvement_over_parent": null }, "node_65": { "node_id": "node_65", "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 152.39 kg\n Factor of Safety: 1.22\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.39107747695954, "fos_buckling": 1.2179801555991185, "fos_yielding": 4.742442643994044, "deflection": 0.0019843273443348047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.256)" }, "parent_node_id": "node_64", "improvement_over_parent": null }, "node_66": { "node_id": "node_66", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 174.39 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.38812274290666, "fos_buckling": 1.3647919634114496, "fos_yielding": 5.414679757625197, "deflection": 0.0017384175827841247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_65", "improvement_over_parent": null }, "node_67": { "node_id": "node_67", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23380686960252, "fos_buckling": 1.5525357036575058, "fos_yielding": 6.321910707314522, "deflection": 0.001489460277394838, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_66", "improvement_over_parent": null }, "node_68": { "node_id": "node_68", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_67", "improvement_over_parent": null }, "node_69": { "node_id": "node_69", "content": "INITIAL DESIGN (Trace 10)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 141.83 kg\n Factor of Safety: 0.39\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.83174666240717, "fos_buckling": 0.38528844182584104, "fos_yielding": 2.540814385362714, "deflection": 0.005576227246651869, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_70": { "node_id": "node_70", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 168.09 kg\n Factor of Safety: 0.44\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.08504507085922, "fos_buckling": 0.44491262084458716, "fos_yielding": 3.0004162461372528, "deflection": 0.004726016404597524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.200)" }, "parent_node_id": "node_69", "improvement_over_parent": null }, "node_71": { "node_id": "node_71", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 174.32 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.31640870557828, "fos_buckling": 1.3642949067942822, "fos_yielding": 5.412366898609019, "deflection": 0.0017390601989575923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002804)" }, "parent_node_id": "node_70", "improvement_over_parent": null }, "node_72": { "node_id": "node_72", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1512304355404, "fos_buckling": 1.5520009539243047, "fos_yielding": 6.319262877502806, "deflection": 0.0014899994864501186, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_71", "improvement_over_parent": null }, "node_73": { "node_id": "node_73", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_72", "improvement_over_parent": null }, "node_74": { "node_id": "node_74", "content": "INITIAL DESIGN (Trace 11)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 145.24 kg\n Factor of Safety: 0.62\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.24237928159764, "fos_buckling": 0.6191798648414168, "fos_yielding": 4.5627446071578435, "deflection": 0.0030270458644048475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_75": { "node_id": "node_75", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 152.03 kg\n Factor of Safety: 0.62\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.03288999715244, "fos_buckling": 0.6173388785861275, "fos_yielding": 4.666519724966908, "deflection": 0.00227728502609006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002420)" }, "parent_node_id": "node_74", "improvement_over_parent": null }, "node_76": { "node_id": "node_76", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 169.57 kg\n Factor of Safety: 1.12\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.5658087786573, "fos_buckling": 1.1236658421271537, "fos_yielding": 5.450853899084235, "deflection": 0.0017834286480260398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003540)" }, "parent_node_id": "node_75", "improvement_over_parent": null }, "node_77": { "node_id": "node_77", "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 175.61 kg\n Factor of Safety: 1.11\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.6089308447865, "fos_buckling": 1.1105718616260134, "fos_yielding": 5.453180123125169, "deflection": 0.0017637007705141423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.447)" }, "parent_node_id": "node_76", "improvement_over_parent": null }, "node_78": { "node_id": "node_78", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.34 kg\n Factor of Safety: 1.27\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.34010679724105, "fos_buckling": 1.269592178404072, "fos_yielding": 6.299823188048658, "deflection": 0.0015267391271811049, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_77", "improvement_over_parent": null }, "node_79": { "node_id": "node_79", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.85 kg\n Factor of Safety: 1.28\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.85426480479455, "fos_buckling": 1.2821705507006644, "fos_yielding": 6.295807059387523, "deflection": 0.0015118247084582124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.508)" }, "parent_node_id": "node_78", "improvement_over_parent": null }, "node_80": { "node_id": "node_80", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_79", "improvement_over_parent": null }, "node_81": { "node_id": "node_81", "content": "INITIAL DESIGN (Trace 12)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 188.71 kg\n Factor of Safety: 0.75\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.70556748355148, "fos_buckling": 0.7490885691634511, "fos_yielding": 6.187917892812529, "deflection": 0.0018225250166533785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_82": { "node_id": "node_82", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 192.86 kg\n Factor of Safety: 1.23\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.85694253047333, "fos_buckling": 1.2311898109023014, "fos_yielding": 6.293235481824257, "deflection": 0.0015568559823511937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_81", "improvement_over_parent": null }, "node_83": { "node_id": "node_83", "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n\nPerformance:\n Mass: 193.90 kg\n Factor of Safety: 1.23\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.90185192411911, "fos_buckling": 1.2268537514840816, "fos_yielding": 6.294222028202475, "deflection": 0.001551852049267346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.285)" }, "parent_node_id": "node_82", "improvement_over_parent": null }, "node_84": { "node_id": "node_84", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0060)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n\nPerformance:\n Mass: 202.26 kg\n Factor of Safety: 1.21\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.2639630175824, "fos_buckling": 1.2102275189266682, "fos_yielding": 6.296931994706467, "deflection": 0.0015312483574499857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.553)" }, "parent_node_id": "node_83", "improvement_over_parent": null }, "node_85": { "node_id": "node_85", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_84", "improvement_over_parent": null }, "node_86": { "node_id": "node_86", "content": "INITIAL DESIGN (Trace 13)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 126.65 kg\n Factor of Safety: 0.51\n Max Deflection: 6.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.64641810945858, "fos_buckling": 0.5133843926467799, "fos_yielding": 2.908230453735714, "deflection": 0.006846532927190061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_87": { "node_id": "node_87", "content": "MODIFICATION: Increase 12 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 132.42 kg\n Factor of Safety: 0.51\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.41844886882222, "fos_buckling": 0.5137185826799185, "fos_yielding": 2.908230453735713, "deflection": 0.006511504492387123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.567)" }, "parent_node_id": "node_86", "improvement_over_parent": null }, "node_88": { "node_id": "node_88", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 143.84 kg\n Factor of Safety: 0.77\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.84360565870148, "fos_buckling": 0.771209435522298, "fos_yielding": 3.947785378319381, "deflection": 0.003459945202203963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003055)" }, "parent_node_id": "node_87", "improvement_over_parent": null }, "node_89": { "node_id": "node_89", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 150.32 kg\n Factor of Safety: 0.78\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.32184764417386, "fos_buckling": 0.779120952668219, "fos_yielding": 4.3944697660639855, "deflection": 0.0021503624993125625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002300)" }, "parent_node_id": "node_88", "improvement_over_parent": null }, "node_90": { "node_id": "node_90", "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0040)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 153.06 kg\n Factor of Safety: 0.88\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.06015438874658, "fos_buckling": 0.8847981073418656, "fos_yielding": 4.393148542025767, "deflection": 0.002105801290313542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.179)" }, "parent_node_id": "node_89", "improvement_over_parent": null }, "node_91": { "node_id": "node_91", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 185.80 kg\n Factor of Safety: 1.03\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.80041973353661, "fos_buckling": 1.025457816669762, "fos_yielding": 5.335863741348482, "deflection": 0.001741003834199714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_90", "improvement_over_parent": null }, "node_92": { "node_id": "node_92", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 203.41 kg\n Factor of Safety: 1.55\n Max Deflection: 1.53e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.4090255035254, "fos_buckling": 1.5505141332511694, "fos_yielding": 4.991950925840306, "deflection": 0.0015345911745867872, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_91", "improvement_over_parent": null }, "node_93": { "node_id": "node_93", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 205.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.2166284368978, "fos_buckling": 1.5541411213815612, "fos_yielding": 6.328046076752965, "deflection": 0.0014839309082506104, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.318)" }, "parent_node_id": "node_92", "improvement_over_parent": null }, "node_94": { "node_id": "node_94", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_93", "improvement_over_parent": null }, "node_95": { "node_id": "node_95", "content": "INITIAL DESIGN (Trace 14)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0011)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0015)]\n\nPerformance:\n Mass: 76.29 kg\n Factor of Safety: 0.65\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.28840369272504, "fos_buckling": 0.6540710560287117, "fos_yielding": 2.392946573874077, "deflection": 0.003929087116945342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_96": { "node_id": "node_96", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 93.55 kg\n Factor of Safety: 0.79\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.54533952965268, "fos_buckling": 0.789622305490616, "fos_yielding": 2.9289788704321493, "deflection": 0.003210682813132845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_95", "improvement_over_parent": null }, "node_97": { "node_id": "node_97", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 122.69 kg\n Factor of Safety: 1.01\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.69257117496228, "fos_buckling": 1.0083100552428343, "fos_yielding": 3.829988174807827, "deflection": 0.0024562113577091607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_96", "improvement_over_parent": null }, "node_98": { "node_id": "node_98", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 147.45 kg\n Factor of Safety: 1.18\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.44731586366888, "fos_buckling": 1.1839939169859803, "fos_yielding": 4.590948221734499, "deflection": 0.0020496845056981287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_97", "improvement_over_parent": null }, "node_99": { "node_id": "node_99", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 176.75 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.75086596265044, "fos_buckling": 1.3801344678567051, "fos_yielding": 5.486715928405514, "deflection": 0.0017156373787124751, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_98", "improvement_over_parent": null }, "node_100": { "node_id": "node_100", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26212728334056, "fos_buckling": 1.5527074873172222, "fos_yielding": 6.322781778679336, "deflection": 0.0014892527029582994, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_99", "improvement_over_parent": null }, "node_101": { "node_id": "node_101", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_100", "improvement_over_parent": null }, "node_102": { "node_id": "node_102", "content": "INITIAL DESIGN (Trace 15)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 128.66 kg\n Factor of Safety: 0.46\n Max Deflection: 3.60e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.65758217828372, "fos_buckling": 0.46027028830510414, "fos_yielding": 2.4940469873308326, "deflection": 3602174286856.9146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_103": { "node_id": "node_103", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 144.70 kg\n Factor of Safety: 0.29\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.6971744217801, "fos_buckling": 0.28823575325344325, "fos_yielding": 2.1145526198684146, "deflection": 0.011015614564676637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003216)" }, "parent_node_id": "node_102", "improvement_over_parent": null }, "node_104": { "node_id": "node_104", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 147.72 kg\n Factor of Safety: 0.29\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.7221934708942, "fos_buckling": 0.28813959703287934, "fos_yielding": 2.113845369079183, "deflection": 0.010603805460569087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001867)" }, "parent_node_id": "node_103", "improvement_over_parent": null }, "node_105": { "node_id": "node_105", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 153.93 kg\n Factor of Safety: 0.42\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.93300100633627, "fos_buckling": 0.416800211872363, "fos_yielding": 2.1109461432160908, "deflection": 0.00533036420819149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002198)" }, "parent_node_id": "node_104", "improvement_over_parent": null }, "node_106": { "node_id": "node_106", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 194.91 kg\n Factor of Safety: 0.51\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.9123265778421, "fos_buckling": 0.5062230663685764, "fos_yielding": 2.672318717930842, "deflection": 0.00423466860755194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_105", "improvement_over_parent": null }, "node_107": { "node_id": "node_107", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 202.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.54e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.20785263104506, "fos_buckling": 1.5477188699523194, "fos_yielding": 4.954374671134831, "deflection": 0.0015436848819010544, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_106", "improvement_over_parent": null }, "node_108": { "node_id": "node_108", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1089608624652, "fos_buckling": 1.5517594124055727, "fos_yielding": 6.318059526347457, "deflection": 0.0014903373717223057, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.340)" }, "parent_node_id": "node_107", "improvement_over_parent": null }, "node_109": { "node_id": "node_109", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_108", "improvement_over_parent": null }, "node_110": { "node_id": "node_110", "content": "INITIAL DESIGN (Trace 16)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 170.00 kg\n Factor of Safety: 1.04\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.0004673874168, "fos_buckling": 1.0362451836648392, "fos_yielding": 4.246194809190442, "deflection": 0.001820232810666241, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_111": { "node_id": "node_111", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 172.03 kg\n Factor of Safety: 1.23\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.0295077466587, "fos_buckling": 1.2266252871233276, "fos_yielding": 5.449269015356185, "deflection": 0.001751079375983776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.517)" }, "parent_node_id": "node_110", "improvement_over_parent": null }, "node_112": { "node_id": "node_112", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 200.42 kg\n Factor of Safety: 1.39\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.42299538285414, "fos_buckling": 1.3943263440798828, "fos_yielding": 6.328334235170429, "deflection": 0.001508089193020146, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_111", "improvement_over_parent": null }, "node_113": { "node_id": "node_113", "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26489026367312, "fos_buckling": 1.5526985744969977, "fos_yielding": 6.322742207949975, "deflection": 0.0014892096721499507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.256)" }, "parent_node_id": "node_112", "improvement_over_parent": null }, "node_114": { "node_id": "node_114", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_113", "improvement_over_parent": null }, "node_115": { "node_id": "node_115", "content": "INITIAL DESIGN (Trace 17)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 127.33 kg\n Factor of Safety: 0.25\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.32602330531489, "fos_buckling": 0.24804913464332276, "fos_yielding": 2.0061789121082265, "deflection": 0.007550424218788153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_116": { "node_id": "node_116", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n\nPerformance:\n Mass: 154.12 kg\n Factor of Safety: 0.42\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.116680967338, "fos_buckling": 0.41753960068911994, "fos_yielding": 2.0571089076461995, "deflection": 0.005346601621846469, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004161)" }, "parent_node_id": "node_115", "improvement_over_parent": null }, "node_117": { "node_id": "node_117", "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n\nPerformance:\n Mass: 155.79 kg\n Factor of Safety: 0.42\n Max Deflection: 5.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.7851434627403, "fos_buckling": 0.41742371938728273, "fos_yielding": 2.78668093637262, "deflection": 0.0050883898774358016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.381)" }, "parent_node_id": "node_116", "improvement_over_parent": null }, "node_118": { "node_id": "node_118", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.55744097747316, "fos_buckling": 1.279929238522917, "fos_yielding": 5.022995075004883, "deflection": 0.0018736584374349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002582)" }, "parent_node_id": "node_117", "improvement_over_parent": null }, "node_119": { "node_id": "node_119", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23360015218216, "fos_buckling": 1.5524140675513187, "fos_yielding": 6.3219713290444215, "deflection": 0.0014894168709863507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_118", "improvement_over_parent": null }, "node_120": { "node_id": "node_120", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_119", "improvement_over_parent": null }, "node_121": { "node_id": "node_121", "content": "INITIAL DESIGN (Trace 18)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 194.57 kg\n Factor of Safety: 0.91\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.56839463940804, "fos_buckling": 0.9087746481299458, "fos_yielding": 4.520157271426958, "deflection": 0.0018393071273754057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_122": { "node_id": "node_122", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 198.72 kg\n Factor of Safety: 1.40\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.7197696863299, "fos_buckling": 1.4033347568299734, "fos_yielding": 4.5883590182057326, "deflection": 0.0015690592600943387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_121", "improvement_over_parent": null }, "node_123": { "node_id": "node_123", "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.40\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.93450354822298, "fos_buckling": 1.3979831038984794, "fos_yielding": 4.592401338285696, "deflection": 0.0015534642990158766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.543)" }, "parent_node_id": "node_122", "improvement_over_parent": null }, "node_124": { "node_id": "node_124", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.50 kg\n Factor of Safety: 1.47\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.4967300937507, "fos_buckling": 1.4656504061377502, "fos_yielding": 4.614512326435333, "deflection": 0.0015502316392755238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.189)" }, "parent_node_id": "node_123", "improvement_over_parent": null }, "node_125": { "node_id": "node_125", "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 206.78 kg\n Factor of Safety: 1.47\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.7813315667473, "fos_buckling": 1.4713078737657812, "fos_yielding": 6.314928702583486, "deflection": 0.001480225033755084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.441)" }, "parent_node_id": "node_124", "improvement_over_parent": null }, "node_126": { "node_id": "node_126", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_125", "improvement_over_parent": null }, "node_127": { "node_id": "node_127", "content": "INITIAL DESIGN (Trace 19)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 123.39 kg\n Factor of Safety: 0.21\n Max Deflection: 8.98e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.38841016933686, "fos_buckling": 0.2059426372514729, "fos_yielding": 2.08299918234665, "deflection": 8978687571825.58, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_128": { "node_id": "node_128", "content": "MODIFICATION: Increase 6 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 125.49 kg\n Factor of Safety: 0.21\n Max Deflection: 7.90e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.48625911943671, "fos_buckling": 0.20594263725147285, "fos_yielding": 2.0829991823466494, "deflection": 7895329984956.857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.399)" }, "parent_node_id": "node_127", "improvement_over_parent": null }, "node_129": { "node_id": "node_129", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 159.34 kg\n Factor of Safety: 0.31\n Max Deflection: 5.74e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.34415004780055, "fos_buckling": 0.3053156329305, "fos_yielding": 2.2990298234491515, "deflection": 5743600144523.632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_128", "improvement_over_parent": null }, "node_130": { "node_id": "node_130", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n\nPerformance:\n Mass: 174.53 kg\n Factor of Safety: 0.77\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.5335658470715, "fos_buckling": 0.7746445064209817, "fos_yielding": 4.711687534105975, "deflection": 0.002255741462958412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002957)" }, "parent_node_id": "node_129", "improvement_over_parent": null }, "node_131": { "node_id": "node_131", "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n\nPerformance:\n Mass: 182.25 kg\n Factor of Safety: 0.78\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.2499261744076, "fos_buckling": 0.7753170121036707, "fos_yielding": 4.715705432597821, "deflection": 0.0021836422886729245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.437)" }, "parent_node_id": "node_130", "improvement_over_parent": null }, "node_132": { "node_id": "node_132", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 186.40 kg\n Factor of Safety: 0.78\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.40130122132945, "fos_buckling": 0.7756793011360131, "fos_yielding": 5.24594608985481, "deflection": 0.001884032141140156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_131", "improvement_over_parent": null }, "node_133": { "node_id": "node_133", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 202.00 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.99612129172326, "fos_buckling": 1.2849571841320908, "fos_yielding": 5.2323996528152374, "deflection": 0.0016209744062606717, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_132", "improvement_over_parent": null }, "node_134": { "node_id": "node_134", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M11: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 205.83 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.8269919755567, "fos_buckling": 1.321862662540778, "fos_yielding": 6.286348190627711, "deflection": 0.001500398997843843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_133", "improvement_over_parent": null }, "node_135": { "node_id": "node_135", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_134", "improvement_over_parent": null }, "node_136": { "node_id": "node_136", "content": "INITIAL DESIGN (Trace 20)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 170.11 kg\n Factor of Safety: 0.97\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.10633008099532, "fos_buckling": 0.9683507454281525, "fos_yielding": 4.739839465839214, "deflection": 0.0019921639277975483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_137": { "node_id": "node_137", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 182.64 kg\n Factor of Safety: 1.29\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.642789541172, "fos_buckling": 1.2898766264670898, "fos_yielding": 5.721570143265579, "deflection": 0.001655131457905895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003378)" }, "parent_node_id": "node_136", "improvement_over_parent": null }, "node_138": { "node_id": "node_138", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 202.11 kg\n Factor of Safety: 1.40\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.10586560156185, "fos_buckling": 1.4025354845460072, "fos_yielding": 6.317931110520415, "deflection": 0.0014991705072042029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_137", "improvement_over_parent": null }, "node_139": { "node_id": "node_139", "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0067)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 209.70 kg\n Factor of Safety: 1.41\n Max Deflection: 1.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.69744540010564, "fos_buckling": 1.406726802205069, "fos_yielding": 6.144764028757903, "deflection": 0.0014195789877823198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.253)" }, "parent_node_id": "node_138", "improvement_over_parent": null }, "node_140": { "node_id": "node_140", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_139", "improvement_over_parent": null }, "node_141": { "node_id": "node_141", "content": "INITIAL DESIGN (Trace 21)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 128.04 kg\n Factor of Safety: 0.24\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.0401380682281, "fos_buckling": 0.23541143594025618, "fos_yielding": 1.960688194497874, "deflection": 0.011308161933908817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_142": { "node_id": "node_142", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 155.23 kg\n Factor of Safety: 0.28\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.22759941489034, "fos_buckling": 0.27627217814888344, "fos_yielding": 2.373435659803364, "deflection": 0.009345833507005021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_141", "improvement_over_parent": null }, "node_143": { "node_id": "node_143", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 169.10 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0979572858482, "fos_buckling": 0.30056380252870396, "fos_yielding": 2.5222995696878274, "deflection": 0.00442781259298864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_142", "improvement_over_parent": null }, "node_144": { "node_id": "node_144", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 170.27 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.27218288945684, "fos_buckling": 0.30052473554023335, "fos_yielding": 2.5219717236618613, "deflection": 0.0044282419180144035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.190)" }, "parent_node_id": "node_143", "improvement_over_parent": null }, "node_145": { "node_id": "node_145", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1300738178207, "fos_buckling": 1.55207970474176, "fos_yielding": 6.315544458847928, "deflection": 0.001490229681924123, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_144", "improvement_over_parent": null }, "node_146": { "node_id": "node_146", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_145", "improvement_over_parent": null }, "node_147": { "node_id": "node_147", "content": "INITIAL DESIGN (Trace 22)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 123.13 kg\n Factor of Safety: 0.14\n Max Deflection: 6.02e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.13190572190086, "fos_buckling": 0.13844910671311986, "fos_yielding": 1.0348849558173063, "deflection": 6017531714340.736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_148": { "node_id": "node_148", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 136.12 kg\n Factor of Safety: 0.25\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.11782225778495, "fos_buckling": 0.24984595558914832, "fos_yielding": 2.023503720017122, "deflection": 0.005519380849282533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002914)" }, "parent_node_id": "node_147", "improvement_over_parent": null }, "node_149": { "node_id": "node_149", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 170.34 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3362500925188, "fos_buckling": 0.3006129179850324, "fos_yielding": 2.5228781300768555, "deflection": 0.004426728728844743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_148", "improvement_over_parent": null }, "node_150": { "node_id": "node_150", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19414102088265, "fos_buckling": 1.5520900878812234, "fos_yielding": 6.321093704533989, "deflection": 0.0014897822752217406, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_149", "improvement_over_parent": null }, "node_151": { "node_id": "node_151", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_150", "improvement_over_parent": null }, "node_152": { "node_id": "node_152", "content": "INITIAL DESIGN (Trace 23)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 135.90 kg\n Factor of Safety: 0.85\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.89946786672692, "fos_buckling": 0.8523140724917015, "fos_yielding": 4.029331078342099, "deflection": 0.002388506066852117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_153": { "node_id": "node_153", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 160.41 kg\n Factor of Safety: 0.98\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.40934724814224, "fos_buckling": 0.9817840880629177, "fos_yielding": 4.74348568791548, "deflection": 0.0020288049624413184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_152", "improvement_over_parent": null }, "node_154": { "node_id": "node_154", "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 165.17 kg\n Factor of Safety: 0.98\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.17090490115083, "fos_buckling": 0.9763820250765836, "fos_yielding": 4.755984595553076, "deflection": 0.002002114030191816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.460)" }, "parent_node_id": "node_153", "improvement_over_parent": null }, "node_155": { "node_id": "node_155", "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 169.17 kg\n Factor of Safety: 0.98\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.1688635903938, "fos_buckling": 0.9772928646075878, "fos_yielding": 4.753862843650226, "deflection": 0.002002308885460696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.403)" }, "parent_node_id": "node_154", "improvement_over_parent": null }, "node_156": { "node_id": "node_156", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 171.74 kg\n Factor of Safety: 0.95\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.73705438217382, "fos_buckling": 0.9517421964085859, "fos_yielding": 4.764042075611088, "deflection": 0.0019831447339300834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.368)" }, "parent_node_id": "node_155", "improvement_over_parent": null }, "node_157": { "node_id": "node_157", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0034)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 184.33 kg\n Factor of Safety: 1.12\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.33149140701474, "fos_buckling": 1.121916718587796, "fos_yielding": 5.751431561892101, "deflection": 0.0016474890130502384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003395)" }, "parent_node_id": "node_156", "improvement_over_parent": null }, "node_158": { "node_id": "node_158", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 202.96 kg\n Factor of Safety: 1.22\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.9569832660129, "fos_buckling": 1.2215363048490475, "fos_yielding": 6.320151032863455, "deflection": 0.0014994723869024731, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_157", "improvement_over_parent": null }, "node_159": { "node_id": "node_159", "content": "MODIFICATION: Increase 5 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.27 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26740804325146, "fos_buckling": 1.5527423592897331, "fos_yielding": 6.32294565556572, "deflection": 0.0014892613678817361, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.506)" }, "parent_node_id": "node_158", "improvement_over_parent": null }, "node_160": { "node_id": "node_160", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_159", "improvement_over_parent": null }, "node_161": { "node_id": "node_161", "content": "INITIAL DESIGN (Trace 24)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 139.25 kg\n Factor of Safety: 0.29\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.2465753974112, "fos_buckling": 0.2908356987200355, "fos_yielding": 2.1730625729418653, "deflection": 0.010734898763040793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_162": { "node_id": "node_162", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 145.52 kg\n Factor of Safety: 0.31\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.51522079126158, "fos_buckling": 0.3093401715433395, "fos_yielding": 2.475911718073951, "deflection": 0.005362391726943962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002220)" }, "parent_node_id": "node_161", "improvement_over_parent": null }, "node_163": { "node_id": "node_163", "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 151.13 kg\n Factor of Safety: 0.31\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.13056227552866, "fos_buckling": 0.30924376784142876, "fos_yielding": 2.475140117495741, "deflection": 0.005286293802044141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.445)" }, "parent_node_id": "node_162", "improvement_over_parent": null }, "node_164": { "node_id": "node_164", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0044)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 151.92 kg\n Factor of Safety: 0.31\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.92273967526597, "fos_buckling": 0.30921657864129415, "fos_yielding": 2.4749224992702046, "deflection": 0.005246993618023955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.259)" }, "parent_node_id": "node_163", "improvement_over_parent": null }, "node_165": { "node_id": "node_165", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 190.64 kg\n Factor of Safety: 0.38\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.63690391108466, "fos_buckling": 0.3793680354599675, "fos_yielding": 3.1135448818356775, "deflection": 0.0041973121240967215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_164", "improvement_over_parent": null }, "node_166": { "node_id": "node_166", "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 193.57 kg\n Factor of Safety: 0.38\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.57301716593335, "fos_buckling": 0.3792449445226875, "fos_yielding": 3.1125346513419454, "deflection": 0.004155628173134025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.639)" }, "parent_node_id": "node_165", "improvement_over_parent": null }, "node_167": { "node_id": "node_167", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 200.87 kg\n Factor of Safety: 1.27\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.8685432191363, "fos_buckling": 1.2675359724243225, "fos_yielding": 6.305715800467227, "deflection": 0.0015300495546082039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_166", "improvement_over_parent": null }, "node_168": { "node_id": "node_168", "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0042)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.30\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.60461426821328, "fos_buckling": 1.3021279136397512, "fos_yielding": 6.294163972207926, "deflection": 0.0015035441952676463, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.269)" }, "parent_node_id": "node_167", "improvement_over_parent": null }, "node_169": { "node_id": "node_169", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_168", "improvement_over_parent": null }, "node_170": { "node_id": "node_170", "content": "INITIAL DESIGN (Trace 25)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 123.30 kg\n Factor of Safety: 0.72\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.30210648927746, "fos_buckling": 0.7167657211945334, "fos_yielding": 3.4819833225385723, "deflection": 0.0024617434733919595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_171": { "node_id": "node_171", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 137.86 kg\n Factor of Safety: 0.79\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.86442730522455, "fos_buckling": 0.7907274362192638, "fos_yielding": 3.887340305013733, "deflection": 0.0022052154540002896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_170", "improvement_over_parent": null }, "node_172": { "node_id": "node_172", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 161.84 kg\n Factor of Safety: 0.91\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.83942776458198, "fos_buckling": 0.9075889964347966, "fos_yielding": 4.552050311556972, "deflection": 0.001883442898545243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_171", "improvement_over_parent": null }, "node_173": { "node_id": "node_173", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.51 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.5070924583561, "fos_buckling": 1.0304104321620893, "fos_yielding": 5.287554991598905, "deflection": 0.0016216849444765774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_172", "improvement_over_parent": null }, "node_174": { "node_id": "node_174", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10191252874992, "fos_buckling": 1.551683870651522, "fos_yielding": 6.317680557044144, "deflection": 0.0014904273291038678, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_173", "improvement_over_parent": null }, "node_175": { "node_id": "node_175", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_174", "improvement_over_parent": null }, "node_176": { "node_id": "node_176", "content": "INITIAL DESIGN (Trace 26)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 139.79 kg\n Factor of Safety: 0.73\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.79192323855054, "fos_buckling": 0.7330857966237666, "fos_yielding": 4.70191647372206, "deflection": 0.002287926347146772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_177": { "node_id": "node_177", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 163.27 kg\n Factor of Safety: 0.83\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.26740326992393, "fos_buckling": 0.8331429515143598, "fos_yielding": 5.478575691792447, "deflection": 0.001964234986122576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_176", "improvement_over_parent": null }, "node_178": { "node_id": "node_178", "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 166.81 kg\n Factor of Safety: 0.83\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.80663586845284, "fos_buckling": 0.8324997791187704, "fos_yielding": 5.5523882074875415, "deflection": 0.0019215003256921582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.433)" }, "parent_node_id": "node_177", "improvement_over_parent": null }, "node_179": { "node_id": "node_179", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 182.55 kg\n Factor of Safety: 1.42\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.55339848216732, "fos_buckling": 1.4174355387768698, "fos_yielding": 5.663315770759707, "deflection": 0.001662235441176301, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003425)" }, "parent_node_id": "node_178", "improvement_over_parent": null }, "node_180": { "node_id": "node_180", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15045410046858, "fos_buckling": 1.5520021414587977, "fos_yielding": 6.319250422200002, "deflection": 0.001490069582649988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_179", "improvement_over_parent": null }, "node_181": { "node_id": "node_181", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_180", "improvement_over_parent": null }, "node_182": { "node_id": "node_182", "content": "INITIAL DESIGN (Trace 27)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 114.16 kg\n Factor of Safety: 0.58\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.16300141769669, "fos_buckling": 0.575302017879918, "fos_yielding": 3.593755606958908, "deflection": 0.0029627973352716963, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_183": { "node_id": "node_183", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 147.01 kg\n Factor of Safety: 0.72\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.00676858952295, "fos_buckling": 0.7152329358783344, "fos_yielding": 4.611429277470832, "deflection": 0.002310494508627496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_182", "improvement_over_parent": null }, "node_184": { "node_id": "node_184", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 1.09\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.10571343806916, "fos_buckling": 1.0933526849562982, "fos_yielding": 4.657909359925009, "deflection": 0.001999552208448177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001830)" }, "parent_node_id": "node_183", "improvement_over_parent": null }, "node_185": { "node_id": "node_185", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 172.89 kg\n Factor of Safety: 1.24\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.89338079968778, "fos_buckling": 1.2375134242013248, "fos_yielding": 5.35232869664848, "deflection": 0.00174073491375635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_184", "improvement_over_parent": null }, "node_186": { "node_id": "node_186", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 201.10 kg\n Factor of Safety: 1.41\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.10067704842362, "fos_buckling": 1.4082688302059525, "fos_yielding": 6.207397435664565, "deflection": 0.0015016056444507458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_185", "improvement_over_parent": null }, "node_187": { "node_id": "node_187", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 206.37 kg\n Factor of Safety: 1.31\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.36686966667858, "fos_buckling": 1.306372593354669, "fos_yielding": 6.293797426646334, "deflection": 0.0014799709907251219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.437)" }, "parent_node_id": "node_186", "improvement_over_parent": null }, "node_188": { "node_id": "node_188", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_187", "improvement_over_parent": null }, "node_189": { "node_id": "node_189", "content": "INITIAL DESIGN (Trace 28)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 136.95 kg\n Factor of Safety: 0.65\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.94680373402971, "fos_buckling": 0.6517124641360766, "fos_yielding": 2.6571104411389554, "deflection": 0.002632608516625487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_190": { "node_id": "node_190", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 152.41 kg\n Factor of Safety: 0.65\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.41382272312742, "fos_buckling": 0.6511528453277969, "fos_yielding": 2.6548288076573723, "deflection": 0.0025170046586755522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003359)" }, "parent_node_id": "node_189", "improvement_over_parent": null }, "node_191": { "node_id": "node_191", "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 154.80 kg\n Factor of Safety: 0.81\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.79905821733416, "fos_buckling": 0.807686746002441, "fos_yielding": 3.6249278685199706, "deflection": 0.0023263697466763943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.642)" }, "parent_node_id": "node_190", "improvement_over_parent": null }, "node_192": { "node_id": "node_192", "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 158.46 kg\n Factor of Safety: 0.79\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.4629818589408, "fos_buckling": 0.791473978938999, "fos_yielding": 3.6783725805263905, "deflection": 0.002317545941019433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.374)" }, "parent_node_id": "node_191", "improvement_over_parent": null }, "node_193": { "node_id": "node_193", "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 160.69 kg\n Factor of Safety: 0.82\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.6932114574248, "fos_buckling": 0.822553334180117, "fos_yielding": 4.225889247624137, "deflection": 0.002213766667767622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.506)" }, "parent_node_id": "node_192", "improvement_over_parent": null }, "node_194": { "node_id": "node_194", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 179.36 kg\n Factor of Safety: 1.40\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.35875417802822, "fos_buckling": 1.3970202444568458, "fos_yielding": 5.5666686441107505, "deflection": 0.001691217292411708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003690)" }, "parent_node_id": "node_193", "improvement_over_parent": null }, "node_195": { "node_id": "node_195", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17220184283107, "fos_buckling": 1.552212007002527, "fos_yielding": 6.320611902485351, "deflection": 0.0014899100814859318, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_194", "improvement_over_parent": null }, "node_196": { "node_id": "node_196", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_195", "improvement_over_parent": null }, "node_197": { "node_id": "node_197", "content": "INITIAL DESIGN (Trace 29)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 102.57 kg\n Factor of Safety: 0.20\n Max Deflection: 7.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.57309799830031, "fos_buckling": 0.199118886746544, "fos_yielding": 1.5625702652876587, "deflection": 0.007170182796875366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_198": { "node_id": "node_198", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 129.89 kg\n Factor of Safety: 0.24\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.890505681744, "fos_buckling": 0.24439431242290727, "fos_yielding": 1.9722626013854516, "deflection": 0.005680388328950014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_197", "improvement_over_parent": null }, "node_199": { "node_id": "node_199", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 156.27 kg\n Factor of Safety: 1.15\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.26708701942596, "fos_buckling": 1.1464585191248486, "fos_yielding": 4.946884334696164, "deflection": 0.0019249336370723406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004092)" }, "parent_node_id": "node_198", "improvement_over_parent": null }, "node_200": { "node_id": "node_200", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 200.61 kg\n Factor of Safety: 1.41\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.61429632617606, "fos_buckling": 1.4149295585595498, "fos_yielding": 6.3193146559431845, "deflection": 0.001507330463698571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_199", "improvement_over_parent": null }, "node_201": { "node_id": "node_201", "content": "MODIFICATION: Increase 15 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0066)]\n\nPerformance:\n Mass: 207.27 kg\n Factor of Safety: 1.41\n Max Deflection: 1.44e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.26502046115885, "fos_buckling": 1.4102717825716373, "fos_yielding": 6.16415707638581, "deflection": 0.0014362749874236454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.221)" }, "parent_node_id": "node_200", "improvement_over_parent": null }, "node_202": { "node_id": "node_202", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_201", "improvement_over_parent": null }, "node_203": { "node_id": "node_203", "content": "INITIAL DESIGN (Trace 30)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 100.75 kg\n Factor of Safety: 0.19\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.74873278467423, "fos_buckling": 0.19234476153445942, "fos_yielding": 1.5034667090027174, "deflection": 0.007429043411202382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_204": { "node_id": "node_204", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 119.04 kg\n Factor of Safety: 0.22\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.0379700277807, "fos_buckling": 0.22272162762990083, "fos_yielding": 1.7728849849328208, "deflection": 0.006299958590498163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_203", "improvement_over_parent": null }, "node_205": { "node_id": "node_205", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n\nPerformance:\n Mass: 142.71 kg\n Factor of Safety: 1.15\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.71350566210685, "fos_buckling": 1.151347239509363, "fos_yielding": 4.4451863242058725, "deflection": 0.0021164158400819714, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003646)" }, "parent_node_id": "node_204", "improvement_over_parent": null }, "node_206": { "node_id": "node_206", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n\nPerformance:\n Mass: 163.30 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.30127224904777, "fos_buckling": 1.2919520814970455, "fos_yielding": 5.075637435811335, "deflection": 0.0018539832232741932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_205", "improvement_over_parent": null }, "node_207": { "node_id": "node_207", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n\nPerformance:\n Mass: 180.02 kg\n Factor of Safety: 1.40\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.01913707375303, "fos_buckling": 1.4014870755494946, "fos_yielding": 5.585614404306704, "deflection": 0.0016850419714046039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_206", "improvement_over_parent": null }, "node_208": { "node_id": "node_208", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10482402230818, "fos_buckling": 1.5520300225332582, "fos_yielding": 6.317265218280378, "deflection": 0.0014903042262597486, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_207", "improvement_over_parent": null }, "node_209": { "node_id": "node_209", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_208", "improvement_over_parent": null }, "node_210": { "node_id": "node_210", "content": "INITIAL DESIGN (Trace 31)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 179.94 kg\n Factor of Safety: 1.26\n Max Deflection: 1.48e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.94085019673724, "fos_buckling": 1.2613277734241797, "fos_yielding": 10.123002493524577, "deflection": 1481252147427.9407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_211": { "node_id": "node_211", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 195.54 kg\n Factor of Safety: 0.51\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.53567026713105, "fos_buckling": 0.5062599070937751, "fos_yielding": 3.501190533662619, "deflection": 0.004074101980330472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_210", "improvement_over_parent": null }, "node_212": { "node_id": "node_212", "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87585027831275, "fos_buckling": 0.5061849942279213, "fos_yielding": 3.500675507281579, "deflection": 0.004054281675060958, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.590)" }, "parent_node_id": "node_211", "improvement_over_parent": null }, "node_213": { "node_id": "node_213", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17137633151572, "fos_buckling": 1.552138502854815, "fos_yielding": 6.319945741773653, "deflection": 0.0014898944103402937, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_212", "improvement_over_parent": null }, "node_214": { "node_id": "node_214", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_213", "improvement_over_parent": null }, "node_215": { "node_id": "node_215", "content": "INITIAL DESIGN (Trace 32)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 140.58 kg\n Factor of Safety: 0.86\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.57681468236717, "fos_buckling": 0.8608508385049195, "fos_yielding": 3.4851799913192196, "deflection": 0.0022616606695330943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_216": { "node_id": "node_216", "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 148.79 kg\n Factor of Safety: 0.85\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.78765496946886, "fos_buckling": 0.8549979661337241, "fos_yielding": 3.4614844650242556, "deflection": 0.00204211040185161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.468)" }, "parent_node_id": "node_215", "improvement_over_parent": null }, "node_217": { "node_id": "node_217", "content": "MODIFICATION: Increase 14 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 154.75 kg\n Factor of Safety: 0.84\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.74912554677934, "fos_buckling": 0.8355835722080863, "fos_yielding": 3.3828847190209466, "deflection": 0.0020087906112165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.623)" }, "parent_node_id": "node_216", "improvement_over_parent": null }, "node_218": { "node_id": "node_218", "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 156.87 kg\n Factor of Safety: 1.09\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.8688020159841, "fos_buckling": 1.0927170540671842, "fos_yielding": 5.0177949317051445, "deflection": 0.0019018647121512064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.613)" }, "parent_node_id": "node_217", "improvement_over_parent": null }, "node_219": { "node_id": "node_219", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.30 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.30447128721482, "fos_buckling": 1.307528687191042, "fos_yielding": 6.253680623872382, "deflection": 0.001526600064445945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_218", "improvement_over_parent": null }, "node_220": { "node_id": "node_220", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17034747562832, "fos_buckling": 1.5515756406440566, "fos_yielding": 6.321672607293538, "deflection": 0.0014900147585958973, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_219", "improvement_over_parent": null }, "node_221": { "node_id": "node_221", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_220", "improvement_over_parent": null }, "node_222": { "node_id": "node_222", "content": "INITIAL DESIGN (Trace 33)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 107.64 kg\n Factor of Safety: 0.25\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.63836104653122, "fos_buckling": 0.24725035982163515, "fos_yielding": 1.9979118523689918, "deflection": 0.005832692806903636, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_223": { "node_id": "node_223", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 113.87 kg\n Factor of Safety: 0.25\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.87308532825689, "fos_buckling": 0.24699273615341674, "fos_yielding": 1.995830118774931, "deflection": 0.005653487217840808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.639)" }, "parent_node_id": "node_222", "improvement_over_parent": null }, "node_224": { "node_id": "node_224", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 115.54 kg\n Factor of Safety: 0.25\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.53523068109807, "fos_buckling": 0.24694700490273838, "fos_yielding": 1.9954605864198722, "deflection": 0.005654281304150722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.387)" }, "parent_node_id": "node_223", "improvement_over_parent": null }, "node_225": { "node_id": "node_225", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 127.79 kg\n Factor of Safety: 0.25\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.79295941487277, "fos_buckling": 0.24644225489196, "fos_yielding": 1.9913819430975939, "deflection": 0.005656092971930214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002804)" }, "parent_node_id": "node_224", "improvement_over_parent": null }, "node_226": { "node_id": "node_226", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 162.71 kg\n Factor of Safety: 0.30\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.70891925882657, "fos_buckling": 0.30075114878662645, "fos_yielding": 2.524058265599423, "deflection": 0.004461742153325577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_225", "improvement_over_parent": null }, "node_227": { "node_id": "node_227", "content": "MODIFICATION: Increase 14 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0060)]\n\nPerformance:\n Mass: 171.42 kg\n Factor of Safety: 0.30\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.4241627395529, "fos_buckling": 0.3003163856427953, "fos_yielding": 2.5204095097719152, "deflection": 0.004466357316547043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.658)" }, "parent_node_id": "node_226", "improvement_over_parent": null }, "node_228": { "node_id": "node_228", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0060)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 205.28 kg\n Factor of Safety: 1.17\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.28205366791676, "fos_buckling": 1.1678443223009758, "fos_yielding": 6.305860000711726, "deflection": 0.0015222929877443502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_227", "improvement_over_parent": null }, "node_229": { "node_id": "node_229", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_228", "improvement_over_parent": null }, "node_230": { "node_id": "node_230", "content": "INITIAL DESIGN (Trace 34)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 110.48 kg\n Factor of Safety: 0.93\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.47646265197551, "fos_buckling": 0.931804826995501, "fos_yielding": 2.980971614857218, "deflection": 0.0027651787354469174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_231": { "node_id": "node_231", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 144.95 kg\n Factor of Safety: 1.19\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.94651997472266, "fos_buckling": 1.185027349015792, "fos_yielding": 3.9058203391478865, "deflection": 0.0021154446105204313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_230", "improvement_over_parent": null }, "node_232": { "node_id": "node_232", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 174.46 kg\n Factor of Safety: 1.39\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.45696734865047, "fos_buckling": 1.3861867118226052, "fos_yielding": 4.696197472784254, "deflection": 0.0017631707685602663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_231", "improvement_over_parent": null }, "node_233": { "node_id": "node_233", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.22 kg\n Factor of Safety: 1.57\n Max Deflection: 1.52e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.21504516523078, "fos_buckling": 1.5694426760933087, "fos_yielding": 5.465514193679486, "deflection": 0.0015182913919680606, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_232", "improvement_over_parent": null }, "node_234": { "node_id": "node_234", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.36977854284174, "fos_buckling": 1.5533755775601017, "fos_yielding": 6.325460301051412, "deflection": 0.0014884989646945202, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.186)" }, "parent_node_id": "node_233", "improvement_over_parent": null }, "node_235": { "node_id": "node_235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_234", "improvement_over_parent": null }, "node_236": { "node_id": "node_236", "content": "INITIAL DESIGN (Trace 35)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 131.56 kg\n Factor of Safety: 0.90\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.56245926158257, "fos_buckling": 0.9015882827328414, "fos_yielding": 3.830828840826891, "deflection": 0.002524411899091771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_237": { "node_id": "node_237", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 144.45 kg\n Factor of Safety: 0.76\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.4529865257632, "fos_buckling": 0.7587807211940701, "fos_yielding": 3.8253424653553907, "deflection": 0.002450416591091065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002891)" }, "parent_node_id": "node_236", "improvement_over_parent": null }, "node_238": { "node_id": "node_238", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 145.14 kg\n Factor of Safety: 0.75\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.13717024584327, "fos_buckling": 0.7535575799059361, "fos_yielding": 3.825051707041059, "deflection": 0.0024478844150058526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.312)" }, "parent_node_id": "node_237", "improvement_over_parent": null }, "node_239": { "node_id": "node_239", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 162.00 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.99598418882576, "fos_buckling": 1.2829674489171334, "fos_yielding": 5.036361419439312, "deflection": 0.0018687158854144574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003306)" }, "parent_node_id": "node_238", "improvement_over_parent": null }, "node_240": { "node_id": "node_240", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05334566071699, "fos_buckling": 1.551435444842915, "fos_yielding": 6.3164592862161495, "deflection": 0.001490729249098364, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_239", "improvement_over_parent": null }, "node_241": { "node_id": "node_241", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_240", "improvement_over_parent": null }, "node_242": { "node_id": "node_242", "content": "INITIAL DESIGN (Trace 36)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 137.64 kg\n Factor of Safety: 0.89\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.63682203390604, "fos_buckling": 0.8934367579854815, "fos_yielding": 4.092640051512815, "deflection": 0.002125110164268511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_243": { "node_id": "node_243", "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 139.99 kg\n Factor of Safety: 1.05\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.9933820728588, "fos_buckling": 1.0454533181829178, "fos_yielding": 4.092640051512815, "deflection": 0.0020988685049729743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.399)" }, "parent_node_id": "node_242", "improvement_over_parent": null }, "node_244": { "node_id": "node_244", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 146.11 kg\n Factor of Safety: 1.04\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.1093608643068, "fos_buckling": 1.0447437365240781, "fos_yielding": 4.0898622495141215, "deflection": 0.002067952568318209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002162)" }, "parent_node_id": "node_243", "improvement_over_parent": null }, "node_245": { "node_id": "node_245", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 158.74 kg\n Factor of Safety: 1.26\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.74218850227913, "fos_buckling": 1.2611238642384224, "fos_yielding": 4.936926352361266, "deflection": 0.001906316879492021, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002829)" }, "parent_node_id": "node_244", "improvement_over_parent": null }, "node_246": { "node_id": "node_246", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1526135881499, "fos_buckling": 1.5520610994060795, "fos_yielding": 6.31954708874227, "deflection": 0.0014900296688784766, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_245", "improvement_over_parent": null }, "node_247": { "node_id": "node_247", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_246", "improvement_over_parent": null }, "node_248": { "node_id": "node_248", "content": "INITIAL DESIGN (Trace 37)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 163.80 kg\n Factor of Safety: 1.04\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.79526994809007, "fos_buckling": 1.040774031209882, "fos_yielding": 4.286517028792318, "deflection": 0.0018994078296881176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_249": { "node_id": "node_249", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 178.25 kg\n Factor of Safety: 1.08\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.24729270741824, "fos_buckling": 1.0809388208515525, "fos_yielding": 4.4519391565492334, "deflection": 0.0017521458473015639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003271)" }, "parent_node_id": "node_248", "improvement_over_parent": null }, "node_250": { "node_id": "node_250", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.20\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.34102666541577, "fos_buckling": 1.1984521265338262, "fos_yielding": 5.001898190696354, "deflection": 0.0015623516903326062, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_249", "improvement_over_parent": null }, "node_251": { "node_id": "node_251", "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.52\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.60223883248682, "fos_buckling": 1.524675170298456, "fos_yielding": 6.322548488907172, "deflection": 0.0015061509510829933, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.493)" }, "parent_node_id": "node_250", "improvement_over_parent": null }, "node_252": { "node_id": "node_252", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11254377896904, "fos_buckling": 1.551813792738835, "fos_yielding": 6.318323900932015, "deflection": 0.0014903245099131578, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.506)" }, "parent_node_id": "node_251", "improvement_over_parent": null }, "node_253": { "node_id": "node_253", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_252", "improvement_over_parent": null }, "node_254": { "node_id": "node_254", "content": "INITIAL DESIGN (Trace 38)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 149.12 kg\n Factor of Safety: 0.80\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.116826544643, "fos_buckling": 0.8016688074412772, "fos_yielding": 3.9451190298557868, "deflection": 0.0024034719987550916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_255": { "node_id": "node_255", "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 150.20 kg\n Factor of Safety: 0.80\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.20161685402527, "fos_buckling": 0.8017216923849076, "fos_yielding": 4.057913827278867, "deflection": 0.002360865682562314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.567)" }, "parent_node_id": "node_254", "improvement_over_parent": null }, "node_256": { "node_id": "node_256", "content": "MODIFICATION: Increase 2 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 151.12 kg\n Factor of Safety: 0.80\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.1207036876131, "fos_buckling": 0.801766504528252, "fos_yielding": 4.057706759848287, "deflection": 0.0023412922488224375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.319)" }, "parent_node_id": "node_255", "improvement_over_parent": null }, "node_257": { "node_id": "node_257", "content": "MODIFICATION: Increase 3 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 152.15 kg\n Factor of Safety: 0.79\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.15082886851164, "fos_buckling": 0.7930390138024497, "fos_yielding": 4.057242668563433, "deflection": 0.002337507406566608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.506)" }, "parent_node_id": "node_256", "improvement_over_parent": null }, "node_258": { "node_id": "node_258", "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 154.04 kg\n Factor of Safety: 0.79\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.0362696297801, "fos_buckling": 0.7933007942114108, "fos_yielding": 4.055969073002367, "deflection": 0.0023081176075568405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.416)" }, "parent_node_id": "node_257", "improvement_over_parent": null }, "node_259": { "node_id": "node_259", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 171.93 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.9293461741918, "fos_buckling": 1.3487623437240377, "fos_yielding": 5.339817773739579, "deflection": 0.0017627563913844824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003525)" }, "parent_node_id": "node_258", "improvement_over_parent": null }, "node_260": { "node_id": "node_260", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17612325648062, "fos_buckling": 1.5522104538209178, "fos_yielding": 6.32031091155755, "deflection": 0.0014898508586150894, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_259", "improvement_over_parent": null }, "node_261": { "node_id": "node_261", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_260", "improvement_over_parent": null }, "node_262": { "node_id": "node_262", "content": "INITIAL DESIGN (Trace 39)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 151.69 kg\n Factor of Safety: 0.90\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.6897261070092, "fos_buckling": 0.8988520805886316, "fos_yielding": 4.504336470105377, "deflection": 0.001960543374464113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_263": { "node_id": "node_263", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 164.92 kg\n Factor of Safety: 1.29\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.9225467771546, "fos_buckling": 1.2854300816255464, "fos_yielding": 5.297546819164345, "deflection": 0.0017891150582992324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003045)" }, "parent_node_id": "node_262", "improvement_over_parent": null }, "node_264": { "node_id": "node_264", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 166.45 kg\n Factor of Safety: 1.31\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.4533829319751, "fos_buckling": 1.311244739751838, "fos_yielding": 5.299118627939794, "deflection": 0.0017812735325788433, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.208)" }, "parent_node_id": "node_263", "improvement_over_parent": null }, "node_265": { "node_id": "node_265", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 196.26 kg\n Factor of Safety: 1.50\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.25709346755818, "fos_buckling": 1.4954124245513323, "fos_yielding": 6.226836472495312, "deflection": 0.0015163490674616124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_264", "improvement_over_parent": null }, "node_266": { "node_id": "node_266", "content": "MODIFICATION: Increase 14 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0058)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 203.23 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.22868642584095, "fos_buckling": 1.5275939572019581, "fos_yielding": 6.220052278161512, "deflection": 0.0014908013925915352, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.393)" }, "parent_node_id": "node_265", "improvement_over_parent": null }, "node_267": { "node_id": "node_267", "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0058)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 206.50 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.50200600478422, "fos_buckling": 1.5493942490909993, "fos_yielding": 6.30881863822055, "deflection": 0.001482326480577086, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.277)" }, "parent_node_id": "node_266", "improvement_over_parent": null }, "node_268": { "node_id": "node_268", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_267", "improvement_over_parent": null }, "node_269": { "node_id": "node_269", "content": "INITIAL DESIGN (Trace 40)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 125.46 kg\n Factor of Safety: 0.16\n Max Deflection: 9.22e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.46296909911366, "fos_buckling": 0.15610609844770604, "fos_yielding": 0.8185472109622476, "deflection": 9221139689064.27, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_270": { "node_id": "node_270", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 143.42 kg\n Factor of Safety: 0.28\n Max Deflection: 1.43e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.41553766777014, "fos_buckling": 0.2758571805542715, "fos_yielding": 1.5523274337259596, "deflection": 14299802031634.994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_269", "improvement_over_parent": null }, "node_271": { "node_id": "node_271", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 149.81 kg\n Factor of Safety: 0.22\n Max Deflection: 7.02e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.81269554203132, "fos_buckling": 0.2206857444434172, "fos_yielding": 1.2674634915857845, "deflection": 7016534077671.355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002269)" }, "parent_node_id": "node_270", "improvement_over_parent": null }, "node_272": { "node_id": "node_272", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 152.31 kg\n Factor of Safety: 0.22\n Max Deflection: 7.02e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.30671783689118, "fos_buckling": 0.2206857444434172, "fos_yielding": 1.2674634915857845, "deflection": 7016534077671.355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.252)" }, "parent_node_id": "node_271", "improvement_over_parent": null }, "node_273": { "node_id": "node_273", "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 155.05 kg\n Factor of Safety: 0.28\n Max Deflection: 5.51e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.04980285044164, "fos_buckling": 0.2758571805542715, "fos_yielding": 1.4154946256100311, "deflection": 5514728872780.784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.661)" }, "parent_node_id": "node_272", "improvement_over_parent": null }, "node_274": { "node_id": "node_274", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 188.91 kg\n Factor of Safety: 1.29\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.90769377880548, "fos_buckling": 1.2861915805600752, "fos_yielding": 5.236076827395085, "deflection": 0.0016100480920259073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_273", "improvement_over_parent": null }, "node_275": { "node_id": "node_275", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 205.15 kg\n Factor of Safety: 1.53\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.15304001980257, "fos_buckling": 1.5328213003325473, "fos_yielding": 6.315782609759362, "deflection": 0.0014847570567977984, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_274", "improvement_over_parent": null }, "node_276": { "node_id": "node_276", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_275", "improvement_over_parent": null }, "node_277": { "node_id": "node_277", "content": "INITIAL DESIGN (Trace 41)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 174.18 kg\n Factor of Safety: 1.40\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.18266249150827, "fos_buckling": 1.4032500189859847, "fos_yielding": 3.8804385788772464, "deflection": 0.0017909051940182574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_278": { "node_id": "node_278", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 176.42 kg\n Factor of Safety: 1.36\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.41607160939395, "fos_buckling": 1.3564623578167156, "fos_yielding": 5.528315771088119, "deflection": 0.0016981357226047373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.497)" }, "parent_node_id": "node_277", "improvement_over_parent": null }, "node_279": { "node_id": "node_279", "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 180.22 kg\n Factor of Safety: 1.40\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.2202833388407, "fos_buckling": 1.4025874167069403, "fos_yielding": 5.592756960554262, "deflection": 0.0016832202220660806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.414)" }, "parent_node_id": "node_278", "improvement_over_parent": null }, "node_280": { "node_id": "node_280", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00585942195477, "fos_buckling": 1.5512307421684626, "fos_yielding": 6.315399307574416, "deflection": 0.0014910276722697492, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_279", "improvement_over_parent": null }, "node_281": { "node_id": "node_281", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_280", "improvement_over_parent": null }, "node_282": { "node_id": "node_282", "content": "INITIAL DESIGN (Trace 42)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 145.41 kg\n Factor of Safety: 0.40\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.41169220370463, "fos_buckling": 0.4004953250285139, "fos_yielding": 2.3562280928328407, "deflection": 0.00571248033087668, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_283": { "node_id": "node_283", "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 147.03 kg\n Factor of Safety: 0.40\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.02553384001735, "fos_buckling": 0.400495325028514, "fos_yielding": 2.3562280928328394, "deflection": 0.005688630789122704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.280)" }, "parent_node_id": "node_282", "improvement_over_parent": null }, "node_284": { "node_id": "node_284", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 163.52 kg\n Factor of Safety: 0.44\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.52290285013808, "fos_buckling": 0.43814109975730314, "fos_yielding": 2.6175061933038677, "deflection": 0.005126420665820083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_283", "improvement_over_parent": null }, "node_285": { "node_id": "node_285", "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 164.98 kg\n Factor of Safety: 0.44\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.98425914789328, "fos_buckling": 0.43807016576992, "fos_yielding": 2.946403633429459, "deflection": 0.004811983486095556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.307)" }, "parent_node_id": "node_284", "improvement_over_parent": null }, "node_286": { "node_id": "node_286", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 171.09 kg\n Factor of Safety: 1.34\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.0941939814814, "fos_buckling": 1.3432786294876364, "fos_yielding": 5.314313973872738, "deflection": 0.001771223390007948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002745)" }, "parent_node_id": "node_285", "improvement_over_parent": null }, "node_287": { "node_id": "node_287", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1212312869147, "fos_buckling": 1.5518636000696686, "fos_yielding": 6.318618065641541, "deflection": 0.0014902691629334306, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_286", "improvement_over_parent": null }, "node_288": { "node_id": "node_288", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_287", "improvement_over_parent": null }, "node_289": { "node_id": "node_289", "content": "INITIAL DESIGN (Trace 43)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 173.33 kg\n Factor of Safety: 0.92\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.33138190563398, "fos_buckling": 0.9242002080002875, "fos_yielding": 4.806493686367789, "deflection": 0.00204950072317615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_290": { "node_id": "node_290", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 194.58 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.5797734125506, "fos_buckling": 1.3106262000839177, "fos_yielding": 6.199408608214075, "deflection": 0.001531532750764176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_289", "improvement_over_parent": null }, "node_291": { "node_id": "node_291", "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 196.30 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.30308668982633, "fos_buckling": 1.307440774892085, "fos_yielding": 6.252005229110381, "deflection": 0.0015265092717406273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.220)" }, "parent_node_id": "node_290", "improvement_over_parent": null }, "node_292": { "node_id": "node_292", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16896287823982, "fos_buckling": 1.5521476763865574, "fos_yielding": 6.319983094253982, "deflection": 0.001489915463989766, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_291", "improvement_over_parent": null }, "node_293": { "node_id": "node_293", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_292", "improvement_over_parent": null }, "node_294": { "node_id": "node_294", "content": "INITIAL DESIGN (Trace 44)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 134.40 kg\n Factor of Safety: 0.63\n Max Deflection: 2.12e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.39783273428685, "fos_buckling": 0.6306638867120898, "fos_yielding": 5.445190998975761, "deflection": 2116843811295.0063, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_295": { "node_id": "node_295", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 152.01 kg\n Factor of Safety: 0.54\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.00643850427565, "fos_buckling": 0.5381371764575832, "fos_yielding": 3.9792086672427454, "deflection": 0.0024488014741447382, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_294", "improvement_over_parent": null }, "node_296": { "node_id": "node_296", "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 153.10 kg\n Factor of Safety: 0.70\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.1016001324573, "fos_buckling": 0.6975011873764136, "fos_yielding": 4.858664838966604, "deflection": 0.0024038685415626315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.393)" }, "parent_node_id": "node_295", "improvement_over_parent": null }, "node_297": { "node_id": "node_297", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 166.97 kg\n Factor of Safety: 0.70\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.97195800341515, "fos_buckling": 0.6953917889424588, "fos_yielding": 5.386697755277584, "deflection": 0.0021114394841658802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_296", "improvement_over_parent": null }, "node_298": { "node_id": "node_298", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.28 kg\n Factor of Safety: 1.21\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.2821452268181, "fos_buckling": 1.2085893079873902, "fos_yielding": 5.864152440316188, "deflection": 0.0017179089028813823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_297", "improvement_over_parent": null }, "node_299": { "node_id": "node_299", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.44 kg\n Factor of Safety: 1.20\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.43543700054119, "fos_buckling": 1.1970273780161145, "fos_yielding": 6.129871200499676, "deflection": 0.0016920737304868222, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.186)" }, "parent_node_id": "node_298", "improvement_over_parent": null }, "node_300": { "node_id": "node_300", "content": "MODIFICATION: Increase 12 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0063)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 197.49 kg\n Factor of Safety: 1.20\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.48922075272355, "fos_buckling": 1.2003672849392473, "fos_yielding": 6.019245652224385, "deflection": 0.0016561641171905035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.493)" }, "parent_node_id": "node_299", "improvement_over_parent": null }, "node_301": { "node_id": "node_301", "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0057)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0063)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.80 kg\n Factor of Safety: 1.17\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.79626566547051, "fos_buckling": 1.1696031369044373, "fos_yielding": 5.993251824938173, "deflection": 0.0016335130535753155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.522)" }, "parent_node_id": "node_300", "improvement_over_parent": null }, "node_302": { "node_id": "node_302", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_301", "improvement_over_parent": null }, "node_303": { "node_id": "node_303", "content": "INITIAL DESIGN (Trace 45)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 92.91 kg\n Factor of Safety: 0.21\n Max Deflection: 7.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.90794637380556, "fos_buckling": 0.20694361614736706, "fos_yielding": 1.6313231292461363, "deflection": 0.007682029257542242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_304": { "node_id": "node_304", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 112.83 kg\n Factor of Safety: 0.24\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.82505579973997, "fos_buckling": 0.24476532848839286, "fos_yielding": 1.9753452525426836, "deflection": 0.006340113193623586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_303", "improvement_over_parent": null }, "node_305": { "node_id": "node_305", "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 116.26 kg\n Factor of Safety: 0.24\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.25676829402671, "fos_buckling": 0.24471859468656199, "fos_yielding": 1.9749680937590026, "deflection": 0.006248076825296239, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.297)" }, "parent_node_id": "node_304", "improvement_over_parent": null }, "node_306": { "node_id": "node_306", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 149.37 kg\n Factor of Safety: 0.30\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.36573562968408, "fos_buckling": 0.3010832343230073, "fos_yielding": 2.5268516937591103, "deflection": 0.004879524520642927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_305", "improvement_over_parent": null }, "node_307": { "node_id": "node_307", "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 150.59 kg\n Factor of Safety: 0.30\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.59233359186, "fos_buckling": 0.30106276485856914, "fos_yielding": 2.5266799030547813, "deflection": 0.004879851234632376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.460)" }, "parent_node_id": "node_306", "improvement_over_parent": null }, "node_308": { "node_id": "node_308", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 152.72 kg\n Factor of Safety: 0.30\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.71907329490983, "fos_buckling": 0.30092087729939215, "fos_yielding": 2.525489106695643, "deflection": 0.004727705051328083, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.199)" }, "parent_node_id": "node_307", "improvement_over_parent": null }, "node_309": { "node_id": "node_309", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 170.33 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.32767906489863, "fos_buckling": 0.3006276078839656, "fos_yielding": 2.5230278327533564, "deflection": 0.004427065538539381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_308", "improvement_over_parent": null }, "node_310": { "node_id": "node_310", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18556999326248, "fos_buckling": 1.5520474966061653, "fos_yielding": 6.321287214296848, "deflection": 0.001489804482460177, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_309", "improvement_over_parent": null }, "node_311": { "node_id": "node_311", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_310", "improvement_over_parent": null }, "node_312": { "node_id": "node_312", "content": "INITIAL DESIGN (Trace 46)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 173.29 kg\n Factor of Safety: 0.91\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.286273034151, "fos_buckling": 0.9135647588520635, "fos_yielding": 4.707740748029967, "deflection": 0.0020499101982324737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_313": { "node_id": "node_313", "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 175.94 kg\n Factor of Safety: 0.91\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.93746249912004, "fos_buckling": 0.9135647588520635, "fos_yielding": 4.707740748029968, "deflection": 0.002034953357802374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.379)" }, "parent_node_id": "node_312", "improvement_over_parent": null }, "node_314": { "node_id": "node_314", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 191.53 kg\n Factor of Safety: 0.91\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.53228256951385, "fos_buckling": 0.9089275537689657, "fos_yielding": 4.654405625725458, "deflection": 0.0017901664982968777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_313", "improvement_over_parent": null }, "node_315": { "node_id": "node_315", "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 193.70 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.69959488688252, "fos_buckling": 0.9087138737075078, "fos_yielding": 6.176440647805616, "deflection": 0.0017236911538112485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.410)" }, "parent_node_id": "node_314", "improvement_over_parent": null }, "node_316": { "node_id": "node_316", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 197.85 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.85096993380438, "fos_buckling": 1.457078807371856, "fos_yielding": 6.313023710528575, "deflection": 0.0015168782210208324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_315", "improvement_over_parent": null }, "node_317": { "node_id": "node_317", "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0059)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 206.01 kg\n Factor of Safety: 1.43\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.00866605686193, "fos_buckling": 1.432660325345291, "fos_yielding": 6.2808153495988055, "deflection": 0.0015017616083950881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.613)" }, "parent_node_id": "node_316", "improvement_over_parent": null }, "node_318": { "node_id": "node_318", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_317", "improvement_over_parent": null }, "node_319": { "node_id": "node_319", "content": "INITIAL DESIGN (Trace 47)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 150.16 kg\n Factor of Safety: 0.44\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.15752982758565, "fos_buckling": 0.4357730135425206, "fos_yielding": 2.927589338001821, "deflection": 0.005323624025934206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_320": { "node_id": "node_320", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 156.22 kg\n Factor of Safety: 1.11\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.2220795316919, "fos_buckling": 1.1054039855677567, "fos_yielding": 4.3680689295227255, "deflection": 0.0019364117866649982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002723)" }, "parent_node_id": "node_319", "improvement_over_parent": null }, "node_321": { "node_id": "node_321", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 169.73 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.72855656416954, "fos_buckling": 1.3342881816864223, "fos_yielding": 5.272518306020328, "deflection": 0.0017851784354921416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003040)" }, "parent_node_id": "node_320", "improvement_over_parent": null }, "node_322": { "node_id": "node_322", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04100814723193, "fos_buckling": 1.5513589865306692, "fos_yielding": 6.31604616805612, "deflection": 0.0014908276704530714, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_321", "improvement_over_parent": null }, "node_323": { "node_id": "node_323", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_322", "improvement_over_parent": null }, "node_324": { "node_id": "node_324", "content": "INITIAL DESIGN (Trace 48)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 159.41 kg\n Factor of Safety: 0.83\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.41369042835487, "fos_buckling": 0.8338200892144564, "fos_yielding": 5.0060519702744415, "deflection": 0.002078977103899077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_325": { "node_id": "node_325", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.21 kg\n Factor of Safety: 0.91\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.2066554413519, "fos_buckling": 0.9109507364830989, "fos_yielding": 5.5892054459426435, "deflection": 0.0018632022372669502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_324", "improvement_over_parent": null }, "node_326": { "node_id": "node_326", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 179.40 kg\n Factor of Safety: 0.91\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.397607574792, "fos_buckling": 0.9108327822624379, "fos_yielding": 6.190844040767929, "deflection": 0.0018339742861304882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.193)" }, "parent_node_id": "node_325", "improvement_over_parent": null }, "node_327": { "node_id": "node_327", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 197.01 kg\n Factor of Safety: 1.32\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.0062133447808, "fos_buckling": 1.3209210407219372, "fos_yielding": 6.344151285481556, "deflection": 0.0015994732203244895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_326", "improvement_over_parent": null }, "node_328": { "node_id": "node_328", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1793687038574, "fos_buckling": 1.5523579079817287, "fos_yielding": 6.320639807990051, "deflection": 0.001489790433240479, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.295)" }, "parent_node_id": "node_327", "improvement_over_parent": null }, "node_329": { "node_id": "node_329", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_328", "improvement_over_parent": null }, "node_330": { "node_id": "node_330", "content": "INITIAL DESIGN (Trace 49)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.62 kg\n Factor of Safety: 0.91\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.61710692754792, "fos_buckling": 0.9095527000217202, "fos_yielding": 4.958087381246522, "deflection": 0.0018829107646597316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_331": { "node_id": "node_331", "content": "MODIFICATION: Increase 8 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 182.15 kg\n Factor of Safety: 0.91\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.14504067419267, "fos_buckling": 0.9095527000217205, "fos_yielding": 4.9580873812465205, "deflection": 0.001882910764659732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.506)" }, "parent_node_id": "node_330", "improvement_over_parent": null }, "node_332": { "node_id": "node_332", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 186.30 kg\n Factor of Safety: 1.26\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.29641572111453, "fos_buckling": 1.2618827378170325, "fos_yielding": 5.237969698643844, "deflection": 0.0016553547384819361, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_331", "improvement_over_parent": null }, "node_333": { "node_id": "node_333", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 187.93 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.92662379182357, "fos_buckling": 1.2860645368292765, "fos_yielding": 5.236554649105671, "deflection": 0.0016158020102910375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.316)" }, "parent_node_id": "node_332", "improvement_over_parent": null }, "node_334": { "node_id": "node_334", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17197003282064, "fos_buckling": 1.552144254729714, "fos_yielding": 6.319969162065856, "deflection": 0.0014899268392043906, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_333", "improvement_over_parent": null }, "node_335": { "node_id": "node_335", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_334", "improvement_over_parent": null }, "node_336": { "node_id": "node_336", "content": "INITIAL DESIGN (Trace 50)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 191.02 kg\n Factor of Safety: 1.18\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.02047139057902, "fos_buckling": 1.176643486666521, "fos_yielding": 4.923292754343584, "deflection": 0.0015906502795550324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_337": { "node_id": "node_337", "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.80 kg\n Factor of Safety: 1.20\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.80232395553503, "fos_buckling": 1.1981897325167898, "fos_yielding": 5.013446209727474, "deflection": 0.0015812129834175293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.600)" }, "parent_node_id": "node_336", "improvement_over_parent": null }, "node_338": { "node_id": "node_338", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.96 kg\n Factor of Safety: 1.27\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.95703808711295, "fos_buckling": 1.270241028935943, "fos_yielding": 6.120540974476224, "deflection": 0.001526894475175107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.460)" }, "parent_node_id": "node_337", "improvement_over_parent": null }, "node_339": { "node_id": "node_339", "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.39 kg\n Factor of Safety: 1.27\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.38824074978015, "fos_buckling": 1.2669087668505696, "fos_yielding": 6.234561855675813, "deflection": 0.0015153432589888874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.546)" }, "parent_node_id": "node_338", "improvement_over_parent": null }, "node_340": { "node_id": "node_340", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.84 kg\n Factor of Safety: 1.28\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.83869285201945, "fos_buckling": 1.2824001995062226, "fos_yielding": 6.23950409705481, "deflection": 0.0014977248768676171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.490)" }, "parent_node_id": "node_339", "improvement_over_parent": null }, "node_341": { "node_id": "node_341", "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16715587836512, "fos_buckling": 1.552128926256975, "fos_yielding": 6.319906748102267, "deflection": 0.0014899397229640933, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.582)" }, "parent_node_id": "node_340", "improvement_over_parent": null }, "node_342": { "node_id": "node_342", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_341", "improvement_over_parent": null }, "node_343": { "node_id": "node_343", "content": "INITIAL DESIGN (Trace 51)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 111.54 kg\n Factor of Safety: 0.16\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.54283740416949, "fos_buckling": 0.15934769178596556, "fos_yielding": 1.2229905025751675, "deflection": 0.00668657254295971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_344": { "node_id": "node_344", "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 115.71 kg\n Factor of Safety: 0.16\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.71259220047469, "fos_buckling": 0.15923674353812226, "fos_yielding": 1.2221389768839641, "deflection": 0.006688056082596138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.661)" }, "parent_node_id": "node_343", "improvement_over_parent": null }, "node_345": { "node_id": "node_345", "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 117.94 kg\n Factor of Safety: 0.16\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.94035577486315, "fos_buckling": 0.15923674353812226, "fos_yielding": 1.2221389768839641, "deflection": 0.006658727304936311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.425)" }, "parent_node_id": "node_344", "improvement_over_parent": null }, "node_346": { "node_id": "node_346", "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 118.77 kg\n Factor of Safety: 0.22\n Max Deflection: 6.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.76553124528496, "fos_buckling": 0.2222287965309969, "fos_yielding": 1.7684235363156395, "deflection": 0.006314462929637619, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.475)" }, "parent_node_id": "node_345", "improvement_over_parent": null }, "node_347": { "node_id": "node_347", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 139.94 kg\n Factor of Safety: 0.26\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.94211668388556, "fos_buckling": 0.2557032246240122, "fos_yielding": 2.0789935227611336, "deflection": 0.0053710731358584275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_346", "improvement_over_parent": null }, "node_348": { "node_id": "node_348", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.27 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.2732575280936, "fos_buckling": 0.30046547637803905, "fos_yielding": 2.5213640457583204, "deflection": 0.0044286020577698065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_347", "improvement_over_parent": null }, "node_349": { "node_id": "node_349", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13114845645745, "fos_buckling": 1.5520048910249211, "fos_yielding": 6.318350543108008, "deflection": 0.0014901554952328824, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_348", "improvement_over_parent": null }, "node_350": { "node_id": "node_350", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_349", "improvement_over_parent": null }, "node_351": { "node_id": "node_351", "content": "INITIAL DESIGN (Trace 52)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 155.70 kg\n Factor of Safety: 0.42\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.6950894256674, "fos_buckling": 0.4207439362360833, "fos_yielding": 2.4484315037639286, "deflection": 0.005411783258014941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_352": { "node_id": "node_352", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 176.06 kg\n Factor of Safety: 0.47\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.05550797753529, "fos_buckling": 0.4660813557954116, "fos_yielding": 2.7650623343039427, "deflection": 0.004799068257308461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_351", "improvement_over_parent": null }, "node_353": { "node_id": "node_353", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 177.76 kg\n Factor of Safety: 0.47\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.76438374902048, "fos_buckling": 0.46599323686339517, "fos_yielding": 3.16906033757163, "deflection": 0.004476035772229277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.344)" }, "parent_node_id": "node_352", "improvement_over_parent": null }, "node_354": { "node_id": "node_354", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 197.01 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.01209100494881, "fos_buckling": 0.5064695690379613, "fos_yielding": 3.5030743456607922, "deflection": 0.004051709621145543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_353", "improvement_over_parent": null }, "node_355": { "node_id": "node_355", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30761705815178, "fos_buckling": 1.553022580061691, "fos_yielding": 6.324347746405292, "deflection": 0.0014889670229442107, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_354", "improvement_over_parent": null }, "node_356": { "node_id": "node_356", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_355", "improvement_over_parent": null }, "node_357": { "node_id": "node_357", "content": "INITIAL DESIGN (Trace 53)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 141.85 kg\n Factor of Safety: 0.85\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.8492052609735, "fos_buckling": 0.8505255391292149, "fos_yielding": 4.926912695040633, "deflection": 0.0022111878646873286, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_358": { "node_id": "node_358", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 183.93 kg\n Factor of Safety: 1.09\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.93054454104058, "fos_buckling": 1.0851733062124833, "fos_yielding": 6.351538352634777, "deflection": 0.0017100895591641838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_357", "improvement_over_parent": null }, "node_359": { "node_id": "node_359", "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.56 kg\n Factor of Safety: 1.16\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.55656017604514, "fos_buckling": 1.1644481336777806, "fos_yielding": 6.538402815048904, "deflection": 0.0016598860671378798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.548)" }, "parent_node_id": "node_358", "improvement_over_parent": null }, "node_360": { "node_id": "node_360", "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.06 kg\n Factor of Safety: 1.31\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.05884404260902, "fos_buckling": 1.3127069608344528, "fos_yielding": 6.469492397157263, "deflection": 0.0016233365977883774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.376)" }, "parent_node_id": "node_359", "improvement_over_parent": null }, "node_361": { "node_id": "node_361", "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.41 kg\n Factor of Safety: 1.41\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.4077262030259, "fos_buckling": 1.4104545614985444, "fos_yielding": 6.307891663406465, "deflection": 0.0015099080376070114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.304)" }, "parent_node_id": "node_360", "improvement_over_parent": null }, "node_362": { "node_id": "node_362", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.29 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2860046696015, "fos_buckling": 1.5531510823340389, "fos_yielding": 6.322622221194679, "deflection": 0.0014890341950473357, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.245)" }, "parent_node_id": "node_361", "improvement_over_parent": null }, "node_363": { "node_id": "node_363", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_362", "improvement_over_parent": null }, "node_364": { "node_id": "node_364", "content": "INITIAL DESIGN (Trace 54)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 156.88 kg\n Factor of Safety: 0.92\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.87794339874102, "fos_buckling": 0.917037350999515, "fos_yielding": 3.159535606429586, "deflection": 0.002222737027824405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_365": { "node_id": "node_365", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 168.69 kg\n Factor of Safety: 1.13\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.69398633302765, "fos_buckling": 1.1273345267059156, "fos_yielding": 3.151269749186196, "deflection": 0.002019438859203315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003168)" }, "parent_node_id": "node_364", "improvement_over_parent": null }, "node_366": { "node_id": "node_366", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 170.69 kg\n Factor of Safety: 1.13\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.69350962643753, "fos_buckling": 1.1270850409564235, "fos_yielding": 4.467075134434011, "deflection": 0.0018921644505462969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.451)" }, "parent_node_id": "node_365", "improvement_over_parent": null }, "node_367": { "node_id": "node_367", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 173.96 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.9568804607066, "fos_buckling": 1.362063339941878, "fos_yielding": 5.398385264891238, "deflection": 0.001742720683529004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002026)" }, "parent_node_id": "node_366", "improvement_over_parent": null }, "node_368": { "node_id": "node_368", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04901708067493, "fos_buckling": 1.5515015846926055, "fos_yielding": 6.3126953663761896, "deflection": 0.0014908446814762358, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_367", "improvement_over_parent": null }, "node_369": { "node_id": "node_369", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_368", "improvement_over_parent": null }, "node_370": { "node_id": "node_370", "content": "INITIAL DESIGN (Trace 55)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 119.98 kg\n Factor of Safety: 0.22\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.97958316746201, "fos_buckling": 0.21807850075130097, "fos_yielding": 2.069929971993949, "deflection": 0.006856853804249133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_371": { "node_id": "node_371", "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 121.66 kg\n Factor of Safety: 0.29\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.66349310637051, "fos_buckling": 0.2880854306133282, "fos_yielding": 2.0699299719939495, "deflection": 0.006704679912167011, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.406)" }, "parent_node_id": "node_370", "improvement_over_parent": null }, "node_372": { "node_id": "node_372", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 125.36 kg\n Factor of Safety: 0.29\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.36419759350875, "fos_buckling": 0.28966986730398187, "fos_yielding": 2.5350280415508606, "deflection": 0.006130613253887917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.399)" }, "parent_node_id": "node_371", "improvement_over_parent": null }, "node_373": { "node_id": "node_373", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 127.10 kg\n Factor of Safety: 0.30\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.10024621466167, "fos_buckling": 0.30201022187440213, "fos_yielding": 2.5345385679669095, "deflection": 0.006042328787877949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.311)" }, "parent_node_id": "node_372", "improvement_over_parent": null }, "node_374": { "node_id": "node_374", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 160.96 kg\n Factor of Safety: 0.36\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.9581371430255, "fos_buckling": 0.35610706341162823, "fos_yielding": 4.727293397248997, "deflection": 0.0026515612404019056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_373", "improvement_over_parent": null }, "node_375": { "node_id": "node_375", "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 162.61 kg\n Factor of Safety: 0.36\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.61411145471922, "fos_buckling": 0.3561724354237736, "fos_yielding": 4.728161205594101, "deflection": 0.0026517589150113945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.580)" }, "parent_node_id": "node_374", "improvement_over_parent": null }, "node_376": { "node_id": "node_376", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.86250296163584, "fos_buckling": 0.6930550914043933, "fos_yielding": 5.368033931418003, "deflection": 0.001972119662047601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_375", "improvement_over_parent": null }, "node_377": { "node_id": "node_377", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1726901850388, "fos_buckling": 1.5521016030712043, "fos_yielding": 6.320222953210024, "deflection": 0.0014898904007849482, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_376", "improvement_over_parent": null }, "node_378": { "node_id": "node_378", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_377", "improvement_over_parent": null }, "node_379": { "node_id": "node_379", "content": "INITIAL DESIGN (Trace 56)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 152.50 kg\n Factor of Safety: 0.83\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.5010954243988, "fos_buckling": 0.8315136412352543, "fos_yielding": 5.530309517700492, "deflection": 0.0020117670237743412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_380": { "node_id": "node_380", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 154.69 kg\n Factor of Safety: 0.83\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.69119292054333, "fos_buckling": 0.8315136412352543, "fos_yielding": 5.540742238044819, "deflection": 0.002002794430768746, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.340)" }, "parent_node_id": "node_379", "improvement_over_parent": null }, "node_381": { "node_id": "node_381", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 174.22 kg\n Factor of Safety: 0.91\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.2212569308049, "fos_buckling": 0.9140853918301182, "fos_yielding": 6.213582559489882, "deflection": 0.001782622059906786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_380", "improvement_over_parent": null }, "node_382": { "node_id": "node_382", "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 175.69 kg\n Factor of Safety: 0.91\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.68512686616057, "fos_buckling": 0.913793613750953, "fos_yielding": 6.211599170191523, "deflection": 0.0017827903747481342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.597)" }, "parent_node_id": "node_381", "improvement_over_parent": null }, "node_383": { "node_id": "node_383", "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.49 kg\n Factor of Safety: 0.91\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.48735527104284, "fos_buckling": 0.9132552737150027, "fos_yielding": 6.207939752495595, "deflection": 0.0017664829617022896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.203)" }, "parent_node_id": "node_382", "improvement_over_parent": null }, "node_384": { "node_id": "node_384", "content": "MODIFICATION: Increase 12 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 181.82 kg\n Factor of Safety: 0.91\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.81958610321067, "fos_buckling": 0.9119637930299623, "fos_yielding": 6.199160789466309, "deflection": 0.0017388871711318124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.422)" }, "parent_node_id": "node_383", "improvement_over_parent": null }, "node_385": { "node_id": "node_385", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 199.43 kg\n Factor of Safety: 1.36\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.42819187319947, "fos_buckling": 1.3634283865188124, "fos_yielding": 6.303938428358506, "deflection": 0.0015163448086119092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_384", "improvement_over_parent": null }, "node_386": { "node_id": "node_386", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26202309431358, "fos_buckling": 1.5528007147736969, "fos_yielding": 6.323285496763832, "deflection": 0.0014891573851387417, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.323)" }, "parent_node_id": "node_385", "improvement_over_parent": null }, "node_387": { "node_id": "node_387", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_386", "improvement_over_parent": null }, "node_388": { "node_id": "node_388", "content": "INITIAL DESIGN (Trace 57)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.54 kg\n Factor of Safety: 1.05\n Max Deflection: 1.88e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.53797371022563, "fos_buckling": 1.0505223875915626, "fos_yielding": 6.073801496114748, "deflection": 1882350467558.161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_389": { "node_id": "node_389", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 175.38 kg\n Factor of Safety: 0.91\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.37871292800926, "fos_buckling": 0.9133507177456411, "fos_yielding": 3.4922460420377868, "deflection": 0.0021413949994937473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002058)" }, "parent_node_id": "node_388", "improvement_over_parent": null }, "node_390": { "node_id": "node_390", "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 176.44 kg\n Factor of Safety: 0.91\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.43539938487348, "fos_buckling": 0.9131403218299601, "fos_yielding": 3.4914326863040577, "deflection": 0.002110485951048752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.311)" }, "parent_node_id": "node_389", "improvement_over_parent": null }, "node_391": { "node_id": "node_391", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 180.13 kg\n Factor of Safety: 0.91\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.1287616985778, "fos_buckling": 0.9120388330140919, "fos_yielding": 3.487174580776431, "deflection": 0.0020758724409557228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.195)" }, "parent_node_id": "node_390", "improvement_over_parent": null }, "node_392": { "node_id": "node_392", "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 183.85 kg\n Factor of Safety: 0.91\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.8503971542219, "fos_buckling": 0.9120388330140919, "fos_yielding": 3.487174580776431, "deflection": 0.0020758724409557228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.381)" }, "parent_node_id": "node_391", "improvement_over_parent": null }, "node_393": { "node_id": "node_393", "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 187.37 kg\n Factor of Safety: 0.91\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.3704653407017, "fos_buckling": 0.912038833014092, "fos_yielding": 3.487174580776431, "deflection": 0.002059226849883403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.567)" }, "parent_node_id": "node_392", "improvement_over_parent": null }, "node_394": { "node_id": "node_394", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 191.52 kg\n Factor of Safety: 1.17\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.52184038762357, "fos_buckling": 1.1717379561608523, "fos_yielding": 5.288815171823741, "deflection": 0.0015999708092294556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_393", "improvement_over_parent": null }, "node_395": { "node_id": "node_395", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 207.12 kg\n Factor of Safety: 1.48\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.11666045801738, "fos_buckling": 1.4837705092151314, "fos_yielding": 6.26015783223467, "deflection": 0.0014742253638653615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_394", "improvement_over_parent": null }, "node_396": { "node_id": "node_396", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_395", "improvement_over_parent": null }, "node_397": { "node_id": "node_397", "content": "INITIAL DESIGN (Trace 58)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 109.79 kg\n Factor of Safety: 0.46\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.78672666693683, "fos_buckling": 0.46200364668328403, "fos_yielding": 3.1645370792655174, "deflection": 0.0032740618971831546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_398": { "node_id": "node_398", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 129.20 kg\n Factor of Safety: 0.54\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.19941280987203, "fos_buckling": 0.5389302568265605, "fos_yielding": 3.7415273118636883, "deflection": 0.002783470016232767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_397", "improvement_over_parent": null }, "node_399": { "node_id": "node_399", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 144.27 kg\n Factor of Safety: 0.54\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.2664013831304, "fos_buckling": 0.5393512237196096, "fos_yielding": 3.7444498776461486, "deflection": 0.0026645921530990863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003265)" }, "parent_node_id": "node_398", "improvement_over_parent": null }, "node_400": { "node_id": "node_400", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 168.72 kg\n Factor of Safety: 0.62\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.71937258196485, "fos_buckling": 0.6245765925686008, "fos_yielding": 4.40425594503168, "deflection": 0.0022789541564170353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_399", "improvement_over_parent": null }, "node_401": { "node_id": "node_401", "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 171.60 kg\n Factor of Safety: 0.76\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.60219277334986, "fos_buckling": 0.7577993798424284, "fos_yielding": 4.808684348436177, "deflection": 0.0021710987115853447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.359)" }, "parent_node_id": "node_400", "improvement_over_parent": null }, "node_402": { "node_id": "node_402", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 192.85 kg\n Factor of Safety: 1.25\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.85058428026647, "fos_buckling": 1.245131818797541, "fos_yielding": 6.262523100937985, "deflection": 0.001653925457355218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_401", "improvement_over_parent": null }, "node_403": { "node_id": "node_403", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 195.17 kg\n Factor of Safety: 1.26\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.1718704586305, "fos_buckling": 1.259570063160397, "fos_yielding": 6.331885817507068, "deflection": 0.0016352526625734755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.221)" }, "parent_node_id": "node_402", "improvement_over_parent": null }, "node_404": { "node_id": "node_404", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13586803657012, "fos_buckling": 1.5522050175733562, "fos_yielding": 6.318223071571479, "deflection": 0.0014900858108449259, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.395)" }, "parent_node_id": "node_403", "improvement_over_parent": null }, "node_405": { "node_id": "node_405", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_404", "improvement_over_parent": null }, "node_406": { "node_id": "node_406", "content": "INITIAL DESIGN (Trace 59)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 152.79 kg\n Factor of Safety: 0.77\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.79117855138122, "fos_buckling": 0.7748283614925252, "fos_yielding": 5.099959226991241, "deflection": 0.002094167564194254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_407": { "node_id": "node_407", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.47 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.46575174073794, "fos_buckling": 0.9097552862955416, "fos_yielding": 6.1829439797499735, "deflection": 0.0017230373282360366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_406", "improvement_over_parent": null }, "node_408": { "node_id": "node_408", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n\nPerformance:\n Mass: 199.31 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.31193446377995, "fos_buckling": 1.493785407238952, "fos_yielding": 6.312519891443611, "deflection": 0.001509168566325801, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002751)" }, "parent_node_id": "node_407", "improvement_over_parent": null }, "node_409": { "node_id": "node_409", "content": "MODIFICATION: Increase 14 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0058)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n\nPerformance:\n Mass: 206.50 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.5010918348909, "fos_buckling": 1.5486249034014696, "fos_yielding": 6.305052778917125, "deflection": 0.0014829510857383705, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.406)" }, "parent_node_id": "node_408", "improvement_over_parent": null }, "node_410": { "node_id": "node_410", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_409", "improvement_over_parent": null }, "node_411": { "node_id": "node_411", "content": "INITIAL DESIGN (Trace 60)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 118.13 kg\n Factor of Safety: 0.97\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.1266249220622, "fos_buckling": 0.974900103250196, "fos_yielding": 3.6892040902955023, "deflection": 0.002549805928251716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_412": { "node_id": "node_412", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 137.18 kg\n Factor of Safety: 1.11\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.1767870889183, "fos_buckling": 1.1122193289609117, "fos_yielding": 4.275706087171014, "deflection": 0.0022005400340151557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_411", "improvement_over_parent": null }, "node_413": { "node_id": "node_413", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 160.07 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0701892961756, "fos_buckling": 1.2700497790325465, "fos_yielding": 4.977476455283198, "deflection": 0.0018907944115743943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_412", "improvement_over_parent": null }, "node_414": { "node_id": "node_414", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 180.15 kg\n Factor of Safety: 1.40\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.149250923816, "fos_buckling": 1.4020564844952588, "fos_yielding": 5.590249438782997, "deflection": 0.0016839296972507923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_413", "improvement_over_parent": null }, "node_415": { "node_id": "node_415", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.93 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92653390682574, "fos_buckling": 1.5506694942361374, "fos_yielding": 6.312611619022559, "deflection": 0.0014916462265736235, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_414", "improvement_over_parent": null }, "node_416": { "node_id": "node_416", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_415", "improvement_over_parent": null }, "node_417": { "node_id": "node_417", "content": "INITIAL DESIGN (Trace 61)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.36 kg\n Factor of Safety: 0.91\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.3626502124805, "fos_buckling": 0.9090857951759284, "fos_yielding": 4.9416662735673915, "deflection": 0.0017851331452235278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_418": { "node_id": "node_418", "content": "MODIFICATION: Increase 13 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.12 kg\n Factor of Safety: 0.91\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.1181671119764, "fos_buckling": 0.9081485018154621, "fos_yielding": 4.940368992065201, "deflection": 0.0017860026285002242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.406)" }, "parent_node_id": "node_417", "improvement_over_parent": null }, "node_419": { "node_id": "node_419", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 197.27 kg\n Factor of Safety: 1.53\n Max Deflection: 1.55e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 197.26954215889825, "fos_buckling": 1.533067079418252, "fos_yielding": 4.987256809198169, "deflection": 0.0015520724778598745, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_418", "improvement_over_parent": null }, "node_420": { "node_id": "node_420", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 198.87 kg\n Factor of Safety: 1.51\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.86992249923352, "fos_buckling": 1.512776056569766, "fos_yielding": 6.158443000980409, "deflection": 0.0015055526137607406, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.276)" }, "parent_node_id": "node_419", "improvement_over_parent": null }, "node_421": { "node_id": "node_421", "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0056)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.997633359432, "fos_buckling": 1.506664808948976, "fos_yielding": 6.133564387933839, "deflection": 0.0014924056684265147, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.531)" }, "parent_node_id": "node_420", "improvement_over_parent": null }, "node_422": { "node_id": "node_422", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_421", "improvement_over_parent": null }, "node_423": { "node_id": "node_423", "content": "INITIAL DESIGN (Trace 62)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 104.89 kg\n Factor of Safety: 0.22\n Max Deflection: 1.34e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.89286566836552, "fos_buckling": 0.21538859197640672, "fos_yielding": 2.0610352536522423, "deflection": 1342771407581.4053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_424": { "node_id": "node_424", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 118.13 kg\n Factor of Safety: 0.26\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.12568633851093, "fos_buckling": 0.2638189661450852, "fos_yielding": 2.155216475241911, "deflection": 0.006400149335107033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003045)" }, "parent_node_id": "node_423", "improvement_over_parent": null }, "node_425": { "node_id": "node_425", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 124.80 kg\n Factor of Safety: 0.26\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.80199476429303, "fos_buckling": 0.2636228310235926, "fos_yielding": 2.153614188448845, "deflection": 0.006286231138780323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002376)" }, "parent_node_id": "node_424", "improvement_over_parent": null }, "node_426": { "node_id": "node_426", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 147.10 kg\n Factor of Safety: 0.30\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.0967389100956, "fos_buckling": 0.3017357717307567, "fos_yielding": 2.5322863281844166, "deflection": 0.005343992185544882, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_425", "improvement_over_parent": null }, "node_427": { "node_id": "node_427", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 168.35 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.34513041701223, "fos_buckling": 0.3006709942541221, "fos_yielding": 2.5233502930859775, "deflection": 0.00442632950218081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_426", "improvement_over_parent": null }, "node_428": { "node_id": "node_428", "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 170.32 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.32076757103138, "fos_buckling": 0.30060524081546586, "fos_yielding": 2.522798464137142, "deflection": 0.004427051594443605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.362)" }, "parent_node_id": "node_427", "improvement_over_parent": null }, "node_429": { "node_id": "node_429", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17865849939523, "fos_buckling": 1.552121761665304, "fos_yielding": 6.317659655605785, "deflection": 0.0014899301666408081, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_428", "improvement_over_parent": null }, "node_430": { "node_id": "node_430", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_429", "improvement_over_parent": null }, "node_431": { "node_id": "node_431", "content": "INITIAL DESIGN (Trace 63)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0009)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 86.52 kg\n Factor of Safety: 0.20\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.51868920424306, "fos_buckling": 0.20228201045930785, "fos_yielding": 1.5897550960985025, "deflection": 0.008978139103465052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_432": { "node_id": "node_432", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 109.18 kg\n Factor of Safety: 0.25\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.1769403763514, "fos_buckling": 0.247541364428195, "fos_yielding": 2.0004713372269105, "deflection": 0.007126238945666123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_431", "improvement_over_parent": null }, "node_433": { "node_id": "node_433", "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 110.38 kg\n Factor of Safety: 0.25\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.38447978258219, "fos_buckling": 0.24749134129207082, "fos_yielding": 2.000067082163335, "deflection": 0.007073545771756169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.439)" }, "parent_node_id": "node_432", "improvement_over_parent": null }, "node_434": { "node_id": "node_434", "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 112.64 kg\n Factor of Safety: 0.25\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.63666725022054, "fos_buckling": 0.24739809690144515, "fos_yielding": 1.9993135405027935, "deflection": 0.007029882724302915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.592)" }, "parent_node_id": "node_433", "improvement_over_parent": null }, "node_435": { "node_id": "node_435", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 129.35 kg\n Factor of Safety: 0.25\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.35300289058705, "fos_buckling": 0.24670820215269595, "fos_yielding": 1.9937382514040842, "deflection": 0.005604353461476935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003276)" }, "parent_node_id": "node_434", "improvement_over_parent": null }, "node_436": { "node_id": "node_436", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 155.99 kg\n Factor of Safety: 1.20\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.98775129960998, "fos_buckling": 1.1976406610184764, "fos_yielding": 4.88960796221523, "deflection": 0.0019096745585110739, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004135)" }, "parent_node_id": "node_435", "improvement_over_parent": null }, "node_437": { "node_id": "node_437", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 198.28 kg\n Factor of Safety: 1.47\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.2752607436833, "fos_buckling": 1.4679639822193506, "fos_yielding": 6.186481666321125, "deflection": 0.001509831444012939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_436", "improvement_over_parent": null }, "node_438": { "node_id": "node_438", "content": "MODIFICATION: Increase 12 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0064)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 208.00 kg\n Factor of Safety: 1.42\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.99963228823668, "fos_buckling": 1.4186380368543288, "fos_yielding": 6.148880506362073, "deflection": 0.0014879897296549752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.650)" }, "parent_node_id": "node_437", "improvement_over_parent": null }, "node_439": { "node_id": "node_439", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_438", "improvement_over_parent": null }, "node_440": { "node_id": "node_440", "content": "INITIAL DESIGN (Trace 64)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 123.03 kg\n Factor of Safety: 0.97\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.03474153352727, "fos_buckling": 0.9711606112217597, "fos_yielding": 2.748536967354077, "deflection": 0.0024739256790005655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_441": { "node_id": "node_441", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 144.67 kg\n Factor of Safety: 1.12\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.67368232712653, "fos_buckling": 1.1194774140842396, "fos_yielding": 3.2359101252877647, "deflection": 0.0021081977082808893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_440", "improvement_over_parent": null }, "node_442": { "node_id": "node_442", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 150.87 kg\n Factor of Safety: 1.23\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.87396467496401, "fos_buckling": 1.2325714175316154, "fos_yielding": 3.272132094445278, "deflection": 0.002046894077518237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002194)" }, "parent_node_id": "node_441", "improvement_over_parent": null }, "node_443": { "node_id": "node_443", "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 153.06 kg\n Factor of Safety: 1.23\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.05857349020678, "fos_buckling": 1.2290455091869796, "fos_yielding": 4.878721225041089, "deflection": 0.0019239827523833014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.572)" }, "parent_node_id": "node_442", "improvement_over_parent": null }, "node_444": { "node_id": "node_444", "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 158.42 kg\n Factor of Safety: 1.21\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.42212599519678, "fos_buckling": 1.2108063366589732, "fos_yielding": 4.86020978882451, "deflection": 0.0019065709190863472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.486)" }, "parent_node_id": "node_443", "improvement_over_parent": null }, "node_445": { "node_id": "node_445", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 164.46 kg\n Factor of Safety: 1.24\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.4620977462416, "fos_buckling": 1.2383430519226504, "fos_yielding": 4.85470244115811, "deflection": 0.0018705018951445766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.418)" }, "parent_node_id": "node_444", "improvement_over_parent": null }, "node_446": { "node_id": "node_446", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0054)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0059)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 208.30 kg\n Factor of Safety: 1.51\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.3009520751576, "fos_buckling": 1.5073719535695531, "fos_yielding": 6.135193076384651, "deflection": 0.001482294416419585, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_445", "improvement_over_parent": null }, "node_447": { "node_id": "node_447", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_446", "improvement_over_parent": null }, "node_448": { "node_id": "node_448", "content": "INITIAL DESIGN (Trace 65)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 111.41 kg\n Factor of Safety: 0.22\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.40684093127712, "fos_buckling": 0.2215132245052789, "fos_yielding": 1.7617900621953149, "deflection": 0.006445557963294859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_449": { "node_id": "node_449", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 140.03 kg\n Factor of Safety: 0.27\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.03307297989065, "fos_buckling": 0.26892558599135524, "fos_yielding": 2.2058476414163515, "deflection": 0.005146261014455791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_448", "improvement_over_parent": null }, "node_450": { "node_id": "node_450", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 160.91 kg\n Factor of Safety: 0.30\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.90656556549092, "fos_buckling": 0.3011008428620706, "fos_yielding": 2.5273672280223893, "deflection": 0.004490421671326299, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_449", "improvement_over_parent": null }, "node_451": { "node_id": "node_451", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 194.76 kg\n Factor of Safety: 1.45\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.76445649385477, "fos_buckling": 1.4511471791127133, "fos_yielding": 6.308329996204231, "deflection": 0.0015321222559508845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_450", "improvement_over_parent": null }, "node_452": { "node_id": "node_452", "content": "MODIFICATION: Increase 13 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 197.19 kg\n Factor of Safety: 1.44\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.19402323049513, "fos_buckling": 1.4379979214188943, "fos_yielding": 6.311065898088181, "deflection": 0.0015204938706542047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.224)" }, "parent_node_id": "node_451", "improvement_over_parent": null }, "node_453": { "node_id": "node_453", "content": "MODIFICATION: Increase 14 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0065)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 207.00 kg\n Factor of Safety: 1.46\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.99579348129953, "fos_buckling": 1.464754172892009, "fos_yielding": 6.301635651459264, "deflection": 0.0014880005944142565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.562)" }, "parent_node_id": "node_452", "improvement_over_parent": null }, "node_454": { "node_id": "node_454", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_453", "improvement_over_parent": null }, "node_455": { "node_id": "node_455", "content": "INITIAL DESIGN (Trace 66)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 124.44 kg\n Factor of Safety: 0.22\n Max Deflection: 4.71e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.44230014793757, "fos_buckling": 0.21791817111272838, "fos_yielding": 1.5523274337259596, "deflection": 4713680525035.897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_456": { "node_id": "node_456", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 0.07\n Max Deflection: 3.60e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.1467741412175, "fos_buckling": 0.06616101021452653, "fos_yielding": 0.3880818584314899, "deflection": 35998781661757.04, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_455", "improvement_over_parent": null }, "node_457": { "node_id": "node_457", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 158.83 kg\n Factor of Safety: 0.22\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.82596423313336, "fos_buckling": 0.2213086413124822, "fos_yielding": 1.5952949915815557, "deflection": 0.010059787296346472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003572)" }, "parent_node_id": "node_456", "improvement_over_parent": null }, "node_458": { "node_id": "node_458", "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 163.29 kg\n Factor of Safety: 0.22\n Max Deflection: 9.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.28591700419554, "fos_buckling": 0.22109153307179294, "fos_yielding": 1.593729975019398, "deflection": 0.009994776978416829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.634)" }, "parent_node_id": "node_457", "improvement_over_parent": null }, "node_459": { "node_id": "node_459", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.53 kg\n Factor of Safety: 0.25\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.52732490572907, "fos_buckling": 0.25028618964489463, "fos_yielding": 1.8319003547934736, "deflection": 0.008729504387520601, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_458", "improvement_over_parent": null }, "node_460": { "node_id": "node_460", "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.87 kg\n Factor of Safety: 0.35\n Max Deflection: 8.25e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.86502929440726, "fos_buckling": 0.3491120532764449, "fos_yielding": 2.7037150836609034, "deflection": 0.008250065412651456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.522)" }, "parent_node_id": "node_459", "improvement_over_parent": null }, "node_461": { "node_id": "node_461", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 196.16 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.16055534761023, "fos_buckling": 1.3067744433802506, "fos_yielding": 6.247062305032712, "deflection": 0.0015275366734128857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_460", "improvement_over_parent": null }, "node_462": { "node_id": "node_462", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02643153602372, "fos_buckling": 1.5511450153605983, "fos_yielding": 6.315020873963064, "deflection": 0.0014909072850000835, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_461", "improvement_over_parent": null }, "node_463": { "node_id": "node_463", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_462", "improvement_over_parent": null }, "node_464": { "node_id": "node_464", "content": "INITIAL DESIGN (Trace 67)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 165.20 kg\n Factor of Safety: 0.94\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.19731708234787, "fos_buckling": 0.9449488486829486, "fos_yielding": 4.075155038404641, "deflection": 0.002050518282665705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_465": { "node_id": "node_465", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 183.55 kg\n Factor of Safety: 1.03\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.5488611104645, "fos_buckling": 1.0310088183739123, "fos_yielding": 4.526513622663072, "deflection": 0.0018495680469128519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_464", "improvement_over_parent": null }, "node_466": { "node_id": "node_466", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.71 kg\n Factor of Safety: 1.03\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.71346010045468, "fos_buckling": 1.0310088183739117, "fos_yielding": 5.241983384681161, "deflection": 0.001806493317265075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.186)" }, "parent_node_id": "node_465", "improvement_over_parent": null }, "node_467": { "node_id": "node_467", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 188.54 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.54433078428812, "fos_buckling": 1.0305648217009071, "fos_yielding": 5.289713270942567, "deflection": 0.001621330558813306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_466", "improvement_over_parent": null }, "node_468": { "node_id": "node_468", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13915085468193, "fos_buckling": 1.5519261452615016, "fos_yielding": 6.318876068179555, "deflection": 0.0014901238980737017, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_467", "improvement_over_parent": null }, "node_469": { "node_id": "node_469", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_468", "improvement_over_parent": null }, "node_470": { "node_id": "node_470", "content": "INITIAL DESIGN (Trace 68)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 103.05 kg\n Factor of Safety: 0.65\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.04906213694812, "fos_buckling": 0.6464738757576259, "fos_yielding": 3.1616704886320797, "deflection": 0.003230637163799161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_471": { "node_id": "node_471", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n\nPerformance:\n Mass: 113.75 kg\n Factor of Safety: 0.65\n Max Deflection: 3.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.74851885497633, "fos_buckling": 0.6457114108795622, "fos_yielding": 3.3356280563483214, "deflection": 0.0032077389021849053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002370)" }, "parent_node_id": "node_470", "improvement_over_parent": null }, "node_472": { "node_id": "node_472", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 125.35 kg\n Factor of Safety: 0.73\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.34785224176265, "fos_buckling": 0.7327838675975193, "fos_yielding": 3.4713726674639935, "deflection": 0.0027031035399827947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002468)" }, "parent_node_id": "node_471", "improvement_over_parent": null }, "node_473": { "node_id": "node_473", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n\nPerformance:\n Mass: 134.48 kg\n Factor of Safety: 1.09\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.48419701153716, "fos_buckling": 1.0931297830724005, "fos_yielding": 4.192901761114992, "deflection": 0.0022439032773153888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002406)" }, "parent_node_id": "node_472", "improvement_over_parent": null }, "node_474": { "node_id": "node_474", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 173.23 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.2314294235262, "fos_buckling": 1.3572379815212123, "fos_yielding": 5.379358346710103, "deflection": 0.0017497871445155285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_473", "improvement_over_parent": null }, "node_475": { "node_id": "node_475", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14385659942354, "fos_buckling": 1.5519747374620096, "fos_yielding": 6.319128758538988, "deflection": 0.0014900964387407208, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_474", "improvement_over_parent": null }, "node_476": { "node_id": "node_476", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_475", "improvement_over_parent": null }, "node_477": { "node_id": "node_477", "content": "INITIAL DESIGN (Trace 69)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.86 kg\n Factor of Safety: 0.55\n Max Deflection: 6.90e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.85748417178695, "fos_buckling": 0.5518309008730786, "fos_yielding": 2.632007328578078, "deflection": 6899216217817.88, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_478": { "node_id": "node_478", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 189.01 kg\n Factor of Safety: 0.35\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.0088592187088, "fos_buckling": 0.349365925160099, "fos_yielding": 2.7059086479605408, "deflection": 0.008243965221968038, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_477", "improvement_over_parent": null }, "node_479": { "node_id": "node_479", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 196.87 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.8747354071223, "fos_buckling": 0.5061851134073144, "fos_yielding": 3.500676675333323, "deflection": 0.004054391043630352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_478", "improvement_over_parent": null }, "node_480": { "node_id": "node_480", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17026146032526, "fos_buckling": 1.5521406754431362, "fos_yielding": 6.319954588046258, "deflection": 0.0014898942597238243, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_479", "improvement_over_parent": null }, "node_481": { "node_id": "node_481", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_480", "improvement_over_parent": null }, "node_482": { "node_id": "node_482", "content": "INITIAL DESIGN (Trace 70)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 126.67 kg\n Factor of Safety: 0.68\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.6715041668044, "fos_buckling": 0.67880361620338, "fos_yielding": 3.5447998638269143, "deflection": 0.003025512325065914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_483": { "node_id": "node_483", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 162.57 kg\n Factor of Safety: 0.84\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.56839934280472, "fos_buckling": 0.8352868356016993, "fos_yielding": 4.534826025187236, "deflection": 0.0023661370323456265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_482", "improvement_over_parent": null }, "node_484": { "node_id": "node_484", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 175.01 kg\n Factor of Safety: 0.83\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.01267154372582, "fos_buckling": 0.833025503383532, "fos_yielding": 5.552568008202902, "deflection": 0.0019248864939229678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003351)" }, "parent_node_id": "node_483", "improvement_over_parent": null }, "node_485": { "node_id": "node_485", "content": "MODIFICATION: Increase 3 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 176.23 kg\n Factor of Safety: 0.83\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.23065694333397, "fos_buckling": 0.8329151534485958, "fos_yielding": 5.558567277796935, "deflection": 0.0019169404743999826, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.595)" }, "parent_node_id": "node_484", "improvement_over_parent": null }, "node_486": { "node_id": "node_486", "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0073)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 190.39 kg\n Factor of Safety: 0.83\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.39261931361457, "fos_buckling": 0.8316342172833993, "fos_yielding": 5.354025141758211, "deflection": 0.0017571275089446749, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.531)" }, "parent_node_id": "node_485", "improvement_over_parent": null }, "node_487": { "node_id": "node_487", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0073)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 194.12 kg\n Factor of Safety: 1.14\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.11710864073427, "fos_buckling": 1.1391653454504314, "fos_yielding": 5.408764941795456, "deflection": 0.001520466355472765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002231)" }, "parent_node_id": "node_486", "improvement_over_parent": null }, "node_488": { "node_id": "node_488", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0082)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 216.10 kg\n Factor of Safety: 1.25\n Max Deflection: 1.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 216.09866247814875, "fos_buckling": 1.2507681037035119, "fos_yielding": 6.018895827014879, "deflection": 0.0013694131887790997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_487", "improvement_over_parent": null }, "node_489": { "node_id": "node_489", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_488", "improvement_over_parent": null }, "node_490": { "node_id": "node_490", "content": "INITIAL DESIGN (Trace 71)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 122.43 kg\n Factor of Safety: 0.55\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.42953544305112, "fos_buckling": 0.552791572516498, "fos_yielding": 2.2512834753826536, "deflection": 0.0027703074814475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_491": { "node_id": "node_491", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 123.89 kg\n Factor of Safety: 0.55\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.89369784330722, "fos_buckling": 0.5527026782332952, "fos_yielding": 3.2187739189288087, "deflection": 0.0025883845631176575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.453)" }, "parent_node_id": "node_490", "improvement_over_parent": null }, "node_492": { "node_id": "node_492", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 125.15 kg\n Factor of Safety: 0.55\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.15357642049801, "fos_buckling": 0.5526262095981453, "fos_yielding": 4.05102556847149, "deflection": 0.0025015284805137475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.277)" }, "parent_node_id": "node_491", "improvement_over_parent": null }, "node_493": { "node_id": "node_493", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 138.71 kg\n Factor of Safety: 1.02\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.70579733649518, "fos_buckling": 1.0185052166975197, "fos_yielding": 4.04797801873089, "deflection": 0.002129437699640647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002913)" }, "parent_node_id": "node_492", "improvement_over_parent": null }, "node_494": { "node_id": "node_494", "content": "MODIFICATION: Increase 14 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n\nPerformance:\n Mass: 143.74 kg\n Factor of Safety: 1.04\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.73784121285337, "fos_buckling": 1.0357739664251753, "fos_yielding": 4.046847607104795, "deflection": 0.002106457233891324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.410)" }, "parent_node_id": "node_493", "improvement_over_parent": null }, "node_495": { "node_id": "node_495", "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n\nPerformance:\n Mass: 145.33 kg\n Factor of Safety: 1.04\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.33314080537582, "fos_buckling": 1.0357739664251753, "fos_yielding": 4.046847607104795, "deflection": 0.002106457233891324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.269)" }, "parent_node_id": "node_494", "improvement_over_parent": null }, "node_496": { "node_id": "node_496", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0055)]\n\nPerformance:\n Mass: 188.62 kg\n Factor of Safety: 1.29\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.6222924184446, "fos_buckling": 1.2857235556594897, "fos_yielding": 5.231857267649909, "deflection": 0.0016301535598510324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_495", "improvement_over_parent": null }, "node_497": { "node_id": "node_497", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0055)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.87 kg\n Factor of Safety: 1.37\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.8676386594417, "fos_buckling": 1.3726931133421372, "fos_yielding": 6.303239511008732, "deflection": 0.0015019467987387354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_496", "improvement_over_parent": null }, "node_498": { "node_id": "node_498", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_497", "improvement_over_parent": null }, "node_499": { "node_id": "node_499", "content": "INITIAL DESIGN (Trace 72)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 114.27 kg\n Factor of Safety: 0.44\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.26736535500925, "fos_buckling": 0.4436643545892192, "fos_yielding": 2.4416680444081784, "deflection": 0.005267883517829202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_500": { "node_id": "node_500", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 148.64 kg\n Factor of Safety: 0.56\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.64399578495, "fos_buckling": 0.5584351619640238, "fos_yielding": 3.172170369196273, "deflection": 0.00405241987069042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_499", "improvement_over_parent": null }, "node_501": { "node_id": "node_501", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 166.12 kg\n Factor of Safety: 0.61\n Max Deflection: 3.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.11622073085596, "fos_buckling": 0.6134066366978185, "fos_yielding": 3.5427128779054557, "deflection": 0.003627473698535095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_500", "improvement_over_parent": null }, "node_502": { "node_id": "node_502", "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 168.93 kg\n Factor of Safety: 0.61\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.93229202990005, "fos_buckling": 0.6140006158855681, "fos_yielding": 3.5427128779054504, "deflection": 0.003591926841373641, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.592)" }, "parent_node_id": "node_501", "improvement_over_parent": null }, "node_503": { "node_id": "node_503", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 190.18 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.18068353681667, "fos_buckling": 1.0499996532907951, "fos_yielding": 5.2419497329916735, "deflection": 0.0017913869692598166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_502", "improvement_over_parent": null }, "node_504": { "node_id": "node_504", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05104140777453, "fos_buckling": 1.5513783072711271, "fos_yielding": 6.316088268750628, "deflection": 0.001490892720989578, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_503", "improvement_over_parent": null }, "node_505": { "node_id": "node_505", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_504", "improvement_over_parent": null }, "node_506": { "node_id": "node_506", "content": "INITIAL DESIGN (Trace 73)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 130.95 kg\n Factor of Safety: 0.97\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.9500553890442, "fos_buckling": 0.9703371429430762, "fos_yielding": 3.789491896057233, "deflection": 0.00228727197312969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_507": { "node_id": "node_507", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 133.38 kg\n Factor of Safety: 0.97\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.37793668292184, "fos_buckling": 0.9703371429430762, "fos_yielding": 3.789491896057233, "deflection": 0.00228727197312969, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.504)" }, "parent_node_id": "node_506", "improvement_over_parent": null }, "node_508": { "node_id": "node_508", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 161.00 kg\n Factor of Safety: 1.15\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.99627695790085, "fos_buckling": 1.1465862461886787, "fos_yielding": 4.5728620659169295, "deflection": 0.0019007445369674941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_507", "improvement_over_parent": null }, "node_509": { "node_id": "node_509", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 182.15 kg\n Factor of Safety: 1.28\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.14688339749856, "fos_buckling": 1.276036641778691, "fos_yielding": 5.173134786928487, "deflection": 0.001683970448344913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_508", "improvement_over_parent": null }, "node_510": { "node_id": "node_510", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 198.39 kg\n Factor of Safety: 1.24\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.39222963849562, "fos_buckling": 1.238201418198996, "fos_yielding": 4.999953302770935, "deflection": 0.0015628199024568389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_509", "improvement_over_parent": null }, "node_511": { "node_id": "node_511", "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 202.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.54e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.28013194480957, "fos_buckling": 1.548093986984945, "fos_yielding": 4.969457341365005, "deflection": 0.0015426561728659955, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.585)" }, "parent_node_id": "node_510", "improvement_over_parent": null }, "node_512": { "node_id": "node_512", "content": "MODIFICATION: Increase 1 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17042262910053, "fos_buckling": 1.5520950419164918, "fos_yielding": 6.319734679671613, "deflection": 0.0014898329209514045, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.337)" }, "parent_node_id": "node_511", "improvement_over_parent": null }, "node_513": { "node_id": "node_513", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_512", "improvement_over_parent": null }, "node_514": { "node_id": "node_514", "content": "INITIAL DESIGN (Trace 74)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0010)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 135.74 kg\n Factor of Safety: 0.01\n Max Deflection: 7.32e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.7376253075415, "fos_buckling": 0.0059264159406649764, "fos_yielding": 0.048510232303936245, "deflection": 73247016486731.86, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_515": { "node_id": "node_515", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 157.88 kg\n Factor of Safety: 0.70\n Max Deflection: 3.74e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.88193132947302, "fos_buckling": 0.7044434130680026, "fos_yielding": 3.1046548674519197, "deflection": 3744450867381.0874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_514", "improvement_over_parent": null }, "node_516": { "node_id": "node_516", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 162.03 kg\n Factor of Safety: 0.20\n Max Deflection: 3.02e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.03330637639488, "fos_buckling": 0.20042447125620064, "fos_yielding": 1.5523274337259596, "deflection": 3020502595129.1846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_515", "improvement_over_parent": null }, "node_517": { "node_id": "node_517", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.92\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.62812644678868, "fos_buckling": 0.9162366592560549, "fos_yielding": 3.5658352787050918, "deflection": 0.0020731279229862383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_516", "improvement_over_parent": null }, "node_518": { "node_id": "node_518", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 198.88 kg\n Factor of Safety: 1.36\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.8765179537053, "fos_buckling": 1.3598404029290767, "fos_yielding": 2.4215283319533625, "deflection": 0.0017951527208427943, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_517", "improvement_over_parent": null }, "node_519": { "node_id": "node_519", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 199.68 kg\n Factor of Safety: 1.44\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.6759240158064, "fos_buckling": 1.4386530646891384, "fos_yielding": 3.018868236755699, "deflection": 0.0016975812978370533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.302)" }, "parent_node_id": "node_518", "improvement_over_parent": null }, "node_520": { "node_id": "node_520", "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.61 kg\n Factor of Safety: 1.54\n Max Deflection: 1.57e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.6145136437854, "fos_buckling": 1.5438854234307124, "fos_yielding": 4.466832871292, "deflection": 0.0015695511226033604, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.580)" }, "parent_node_id": "node_519", "improvement_over_parent": null }, "node_521": { "node_id": "node_521", "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17922481517448, "fos_buckling": 1.5521685765233868, "fos_yielding": 6.320084194293168, "deflection": 0.0014897593602247554, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.513)" }, "parent_node_id": "node_520", "improvement_over_parent": null }, "node_522": { "node_id": "node_522", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_521", "improvement_over_parent": null }, "node_523": { "node_id": "node_523", "content": "INITIAL DESIGN (Trace 75)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 126.29 kg\n Factor of Safety: 0.93\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.28775870310221, "fos_buckling": 0.9304716018752535, "fos_yielding": 3.9825208018210794, "deflection": 0.0023768965812127423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_524": { "node_id": "node_524", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 127.73 kg\n Factor of Safety: 0.94\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.72936567717014, "fos_buckling": 0.9383070451447253, "fos_yielding": 3.9849334825726546, "deflection": 0.0023603269017755638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.269)" }, "parent_node_id": "node_523", "improvement_over_parent": null }, "node_525": { "node_id": "node_525", "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 129.87 kg\n Factor of Safety: 1.06\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.87401624486287, "fos_buckling": 1.06024044603891, "fos_yielding": 4.051205829295685, "deflection": 0.002322310469238944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.339)" }, "parent_node_id": "node_524", "improvement_over_parent": null }, "node_526": { "node_id": "node_526", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.73 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.72617915185268, "fos_buckling": 1.2945518698635987, "fos_yielding": 5.089309297550893, "deflection": 0.0018493447533050643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_525", "improvement_over_parent": null }, "node_527": { "node_id": "node_527", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 184.22 kg\n Factor of Safety: 1.43\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.21839906678446, "fos_buckling": 1.4281035386633447, "fos_yielding": 5.714199275128185, "deflection": 0.0016474981100608453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_526", "improvement_over_parent": null }, "node_528": { "node_id": "node_528", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16659205707435, "fos_buckling": 1.5521521614779388, "fos_yielding": 6.319969138475944, "deflection": 0.0014899295567696843, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_527", "improvement_over_parent": null }, "node_529": { "node_id": "node_529", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_528", "improvement_over_parent": null }, "node_530": { "node_id": "node_530", "content": "INITIAL DESIGN (Trace 76)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 102.17 kg\n Factor of Safety: 0.22\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.16879180910638, "fos_buckling": 0.21794431820832186, "fos_yielding": 1.7295856737233717, "deflection": 0.006934695637786748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_531": { "node_id": "node_531", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 116.37 kg\n Factor of Safety: 0.24\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.37269387325874, "fos_buckling": 0.24383601273059238, "fos_yielding": 1.9668187358814178, "deflection": 0.0060991063351464175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_530", "improvement_over_parent": null }, "node_532": { "node_id": "node_532", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 132.13 kg\n Factor of Safety: 0.24\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.13328133978456, "fos_buckling": 0.2436224399416839, "fos_yielding": 1.9650960249578113, "deflection": 0.0056836486419926365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003156)" }, "parent_node_id": "node_531", "improvement_over_parent": null }, "node_533": { "node_id": "node_533", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.41 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.41117891948892, "fos_buckling": 0.30071658176701027, "fos_yielding": 2.5239440265496107, "deflection": 0.004425004965972002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_532", "improvement_over_parent": null }, "node_534": { "node_id": "node_534", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.27 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26906984785276, "fos_buckling": 1.552162871619273, "fos_yielding": 6.324110559260447, "deflection": 0.0014893279647726699, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_533", "improvement_over_parent": null }, "node_535": { "node_id": "node_535", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_534", "improvement_over_parent": null }, "node_536": { "node_id": "node_536", "content": "INITIAL DESIGN (Trace 77)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_537": { "node_id": "node_537", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 184.43 kg\n Factor of Safety: 0.91\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.4264184865446, "fos_buckling": 0.9120913141869617, "fos_yielding": 4.7000588576038425, "deflection": 0.0019757734714354936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_536", "improvement_over_parent": null }, "node_538": { "node_id": "node_538", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.57779353346646, "fos_buckling": 1.030716604928137, "fos_yielding": 5.289439295767103, "deflection": 0.00162109554330877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_537", "improvement_over_parent": null }, "node_539": { "node_id": "node_539", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17261360386027, "fos_buckling": 1.5521418674164484, "fos_yielding": 6.3199594414833955, "deflection": 0.0014899035036099683, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_538", "improvement_over_parent": null }, "node_540": { "node_id": "node_540", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_539", "improvement_over_parent": null }, "node_541": { "node_id": "node_541", "content": "INITIAL DESIGN (Trace 78)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 85.33 kg\n Factor of Safety: 0.17\n Max Deflection: 8.76e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 85.33270516150995, "fos_buckling": 0.16566651898440493, "fos_yielding": 1.2755434559735468, "deflection": 0.008756662394882103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_542": { "node_id": "node_542", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 106.68 kg\n Factor of Safety: 0.20\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.67829528938582, "fos_buckling": 0.20234432742405342, "fos_yielding": 1.5909317582744666, "deflection": 0.007020570677551753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_541", "improvement_over_parent": null }, "node_543": { "node_id": "node_543", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 129.81 kg\n Factor of Safety: 0.24\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.8097698692281, "fos_buckling": 0.23996901294264741, "fos_yielding": 1.9310663528962582, "deflection": 0.00578383767076317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_542", "improvement_over_parent": null }, "node_544": { "node_id": "node_544", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 148.39 kg\n Factor of Safety: 0.27\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.39218135026738, "fos_buckling": 0.2686066271992767, "fos_yielding": 2.203081879763387, "deflection": 0.00506960493170532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_543", "improvement_over_parent": null }, "node_545": { "node_id": "node_545", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n\nPerformance:\n Mass: 170.38 kg\n Factor of Safety: 1.13\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.38107970383032, "fos_buckling": 1.1288495201125754, "fos_yielding": 5.5364948856997716, "deflection": 0.0018631480466584122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003371)" }, "parent_node_id": "node_544", "improvement_over_parent": null }, "node_546": { "node_id": "node_546", "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n\nPerformance:\n Mass: 175.06 kg\n Factor of Safety: 1.15\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.064343634094, "fos_buckling": 1.152091393466137, "fos_yielding": 5.51748884870188, "deflection": 0.0018461466770183543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.370)" }, "parent_node_id": "node_545", "improvement_over_parent": null }, "node_547": { "node_id": "node_547", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0051)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n\nPerformance:\n Mass: 201.02 kg\n Factor of Safety: 1.30\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.01510175914228, "fos_buckling": 1.300618323514738, "fos_yielding": 6.317965904395185, "deflection": 0.0016108328163881962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_546", "improvement_over_parent": null }, "node_548": { "node_id": "node_548", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_547", "improvement_over_parent": null }, "node_549": { "node_id": "node_549", "content": "INITIAL DESIGN (Trace 79)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0012)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n\nPerformance:\n Mass: 77.57 kg\n Factor of Safety: 0.38\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 77.56986510099756, "fos_buckling": 0.37992603003976544, "fos_yielding": 2.6050714498651604, "deflection": 0.004335899969771389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_550": { "node_id": "node_550", "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0012)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n\nPerformance:\n Mass: 78.34 kg\n Factor of Safety: 0.38\n Max Deflection: 4.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 78.33936244276953, "fos_buckling": 0.3797962551276574, "fos_yielding": 2.60484741022347, "deflection": 0.004263044648827758, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.259)" }, "parent_node_id": "node_549", "improvement_over_parent": null }, "node_551": { "node_id": "node_551", "content": "MODIFICATION: Increase 12 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n\nPerformance:\n Mass: 82.42 kg\n Factor of Safety: 0.38\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.41995614903183, "fos_buckling": 0.37928099057636444, "fos_yielding": 2.603066680475461, "deflection": 0.004231912881019169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.667)" }, "parent_node_id": "node_550", "improvement_over_parent": null }, "node_552": { "node_id": "node_552", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 102.44 kg\n Factor of Safety: 0.46\n Max Deflection: 3.42e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.44137676150578, "fos_buckling": 0.46019846460485697, "fos_yielding": 3.2279618279936217, "deflection": 0.0034196522184473457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_551", "improvement_over_parent": null }, "node_553": { "node_id": "node_553", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 130.55 kg\n Factor of Safety: 0.57\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.54687474762082, "fos_buckling": 0.5665891987206175, "fos_yielding": 4.100338182841286, "deflection": 0.0026997759510513342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_552", "improvement_over_parent": null }, "node_554": { "node_id": "node_554", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 167.65 kg\n Factor of Safety: 0.69\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.6520579084378, "fos_buckling": 0.6943938767730261, "fos_yielding": 5.243496553600863, "deflection": 0.0021190544025464315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_553", "improvement_over_parent": null }, "node_555": { "node_id": "node_555", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.96 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.96224513184075, "fos_buckling": 1.2862765187950402, "fos_yielding": 5.237613849884419, "deflection": 0.0016154481119908786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_554", "improvement_over_parent": null }, "node_556": { "node_id": "node_556", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20759137283784, "fos_buckling": 1.5523819771504035, "fos_yielding": 6.321173732884958, "deflection": 0.0014896046274555275, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_555", "improvement_over_parent": null }, "node_557": { "node_id": "node_557", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_556", "improvement_over_parent": null }, "node_558": { "node_id": "node_558", "content": "INITIAL DESIGN (Trace 80)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 127.76 kg\n Factor of Safety: 0.24\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.7588676403135, "fos_buckling": 0.24191889719163726, "fos_yielding": 1.949042248014056, "deflection": 0.005732171016977269, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_559": { "node_id": "node_559", "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 130.97 kg\n Factor of Safety: 0.24\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.96848848174247, "fos_buckling": 0.2417894254854168, "fos_yielding": 1.9479991470894258, "deflection": 0.005733553336141171, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.391)" }, "parent_node_id": "node_558", "improvement_over_parent": null }, "node_560": { "node_id": "node_560", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 152.80 kg\n Factor of Safety: 0.28\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.80194320482258, "fos_buckling": 0.2751887779406806, "fos_yielding": 2.267403765999931, "deflection": 0.0049257654059604574, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_559", "improvement_over_parent": null }, "node_561": { "node_id": "node_561", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.32 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.32218431677185, "fos_buckling": 0.30058836450581067, "fos_yielding": 2.5226260528884774, "deflection": 0.004427327977584828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_560", "improvement_over_parent": null }, "node_562": { "node_id": "node_562", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1800752451357, "fos_buckling": 1.5520521153066773, "fos_yielding": 6.320299798697816, "deflection": 0.0014898786748298932, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_561", "improvement_over_parent": null }, "node_563": { "node_id": "node_563", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_562", "improvement_over_parent": null }, "node_564": { "node_id": "node_564", "content": "INITIAL DESIGN (Trace 81)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 126.64 kg\n Factor of Safety: 1.05\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.639230293847, "fos_buckling": 1.0464383435923938, "fos_yielding": 2.648222276348824, "deflection": 0.0025142422365092214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_565": { "node_id": "node_565", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 127.74 kg\n Factor of Safety: 1.04\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.74455380833992, "fos_buckling": 1.0377332552593506, "fos_yielding": 2.6598934427456835, "deflection": 0.0024827228606078312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.603)" }, "parent_node_id": "node_564", "improvement_over_parent": null }, "node_566": { "node_id": "node_566", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 129.64 kg\n Factor of Safety: 1.06\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.63580970033897, "fos_buckling": 1.058497590623324, "fos_yielding": 4.043747685094046, "deflection": 0.0023265086260174086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.621)" }, "parent_node_id": "node_565", "improvement_over_parent": null }, "node_567": { "node_id": "node_567", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 169.35 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.3506385063972, "fos_buckling": 1.331786848322345, "fos_yielding": 5.26092457586378, "deflection": 0.001789075692634939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_566", "improvement_over_parent": null }, "node_568": { "node_id": "node_568", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.35 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.35261149864562, "fos_buckling": 1.5532357348575319, "fos_yielding": 6.325419683913499, "deflection": 0.0014886003254557412, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_567", "improvement_over_parent": null }, "node_569": { "node_id": "node_569", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_568", "improvement_over_parent": null }, "node_570": { "node_id": "node_570", "content": "INITIAL DESIGN (Trace 82)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 140.06 kg\n Factor of Safety: 0.81\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.0560730401126, "fos_buckling": 0.8121499197528422, "fos_yielding": 4.009211138982398, "deflection": 0.0021718284069434184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_571": { "node_id": "node_571", "content": "MODIFICATION: Increase 2 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 141.22 kg\n Factor of Safety: 0.81\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.21885295335403, "fos_buckling": 0.8122561332817083, "fos_yielding": 4.008952155453186, "deflection": 0.002157624456454108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.508)" }, "parent_node_id": "node_570", "improvement_over_parent": null }, "node_572": { "node_id": "node_572", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 152.98 kg\n Factor of Safety: 1.23\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.97823279790043, "fos_buckling": 1.2279087217901214, "fos_yielding": 4.787560289318641, "deflection": 0.0019677001874368336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002682)" }, "parent_node_id": "node_571", "improvement_over_parent": null }, "node_573": { "node_id": "node_573", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 153.98 kg\n Factor of Safety: 1.23\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.98302094030396, "fos_buckling": 1.2288733374724041, "fos_yielding": 4.791321282015408, "deflection": 0.0019641475091518785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.218)" }, "parent_node_id": "node_572", "improvement_over_parent": null }, "node_574": { "node_id": "node_574", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 180.40 kg\n Factor of Safety: 1.40\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.40258312507825, "fos_buckling": 1.4037122656251997, "fos_yielding": 5.598097580486464, "deflection": 0.0016815997508501366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_573", "improvement_over_parent": null }, "node_575": { "node_id": "node_575", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04729307943663, "fos_buckling": 1.5514332115849443, "fos_yielding": 6.316419500091672, "deflection": 0.0014907716975120836, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_574", "improvement_over_parent": null }, "node_576": { "node_id": "node_576", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_575", "improvement_over_parent": null }, "node_577": { "node_id": "node_577", "content": "INITIAL DESIGN (Trace 83)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 151.74 kg\n Factor of Safety: 0.41\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.7442453744398, "fos_buckling": 0.41101117470891047, "fos_yielding": 2.736264210416264, "deflection": 0.00528320757189204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_578": { "node_id": "node_578", "content": "MODIFICATION: Increase 4 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 152.95 kg\n Factor of Safety: 0.41\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.95342342247784, "fos_buckling": 0.41098361006454925, "fos_yielding": 2.735898884725928, "deflection": 0.005180399731722052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.642)" }, "parent_node_id": "node_577", "improvement_over_parent": null }, "node_579": { "node_id": "node_579", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.98 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.983836137527, "fos_buckling": 0.5064069900532033, "fos_yielding": 3.5025463788449267, "deflection": 0.004052147145797676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_578", "improvement_over_parent": null }, "node_580": { "node_id": "node_580", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.27936219072996, "fos_buckling": 1.5528298871717232, "fos_yielding": 6.3233867617052635, "deflection": 0.0014891635414268523, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_579", "improvement_over_parent": null }, "node_581": { "node_id": "node_581", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_580", "improvement_over_parent": null }, "node_582": { "node_id": "node_582", "content": "INITIAL DESIGN (Trace 84)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 113.23 kg\n Factor of Safety: 0.48\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.23434858980033, "fos_buckling": 0.48035686093751884, "fos_yielding": 2.8237638996901775, "deflection": 0.003104384784305317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_583": { "node_id": "node_583", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 126.28 kg\n Factor of Safety: 1.07\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.28211079976306, "fos_buckling": 1.0699772459879306, "fos_yielding": 2.7853858488951944, "deflection": 0.00245540579893578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002581)" }, "parent_node_id": "node_582", "improvement_over_parent": null }, "node_584": { "node_id": "node_584", "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 127.92 kg\n Factor of Safety: 1.04\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.92053196794099, "fos_buckling": 1.0436968694444424, "fos_yielding": 3.994873205959007, "deflection": 0.002322724774538853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.497)" }, "parent_node_id": "node_583", "improvement_over_parent": null }, "node_585": { "node_id": "node_585", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.00 kg\n Factor of Safety: 1.25\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.9952537276477, "fos_buckling": 1.2523045752539315, "fos_yielding": 4.918974444279347, "deflection": 0.0018873883829653938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_584", "improvement_over_parent": null }, "node_586": { "node_id": "node_586", "content": "MODIFICATION: Increase 11 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 161.95 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.94828138956967, "fos_buckling": 1.282575767761196, "fos_yielding": 5.037877804758485, "deflection": 0.0018691196955172543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.475)" }, "parent_node_id": "node_585", "improvement_over_parent": null }, "node_587": { "node_id": "node_587", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.28329418789713, "fos_buckling": 1.5527462881499492, "fos_yielding": 6.327076218437208, "deflection": 0.0014889845149994232, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_586", "improvement_over_parent": null }, "node_588": { "node_id": "node_588", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_587", "improvement_over_parent": null }, "node_589": { "node_id": "node_589", "content": "INITIAL DESIGN (Trace 85)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n\nPerformance:\n Mass: 148.39 kg\n Factor of Safety: 0.64\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.39361959428138, "fos_buckling": 0.6410175957263947, "fos_yielding": 3.611206539539581, "deflection": 0.0024257798597526834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_590": { "node_id": "node_590", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 160.92 kg\n Factor of Safety: 0.64\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.91642983298632, "fos_buckling": 0.6392656744156815, "fos_yielding": 4.218292558346522, "deflection": 0.0022165755943513456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003374)" }, "parent_node_id": "node_589", "improvement_over_parent": null }, "node_591": { "node_id": "node_591", "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 162.91 kg\n Factor of Safety: 0.64\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.90971771620397, "fos_buckling": 0.6391266568089558, "fos_yielding": 4.86528119227049, "deflection": 0.0021880888010257114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.416)" }, "parent_node_id": "node_590", "improvement_over_parent": null }, "node_592": { "node_id": "node_592", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 163.55 kg\n Factor of Safety: 0.64\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.55043271582866, "fos_buckling": 0.6390373181348233, "fos_yielding": 4.864601111465897, "deflection": 0.002188322402147448, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.189)" }, "parent_node_id": "node_591", "improvement_over_parent": null }, "node_593": { "node_id": "node_593", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 181.28 kg\n Factor of Safety: 0.69\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.28073667798984, "fos_buckling": 0.6935094728093558, "fos_yielding": 5.372363258894747, "deflection": 0.001981962320118019, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_592", "improvement_over_parent": null }, "node_594": { "node_id": "node_594", "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 184.02 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.01779776410856, "fos_buckling": 0.6935094728093554, "fos_yielding": 5.372363258894745, "deflection": 0.001970406430551848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.395)" }, "parent_node_id": "node_593", "improvement_over_parent": null }, "node_595": { "node_id": "node_595", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3279849875115, "fos_buckling": 1.5532453901217003, "fos_yielding": 6.324097167471423, "deflection": 0.001488785777971499, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_594", "improvement_over_parent": null }, "node_596": { "node_id": "node_596", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_595", "improvement_over_parent": null }, "node_597": { "node_id": "node_597", "content": "INITIAL DESIGN (Trace 86)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_598": { "node_id": "node_598", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 132.02 kg\n Factor of Safety: 0.18\n Max Deflection: 1.20e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0180933944831, "fos_buckling": 0.17611129910018367, "fos_yielding": 0.77616371686298, "deflection": 11979081394518.27, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_597", "improvement_over_parent": null }, "node_599": { "node_id": "node_599", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 145.89 kg\n Factor of Safety: 0.70\n Max Deflection: 1.93e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.88845126544095, "fos_buckling": 0.7044451964007347, "fos_yielding": 3.10465486745192, "deflection": 1931632921033.5854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_598", "improvement_over_parent": null }, "node_600": { "node_id": "node_600", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 163.50 kg\n Factor of Safety: 0.46\n Max Deflection: 2.52e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.49705703542975, "fos_buckling": 0.46002326163021057, "fos_yielding": 3.9376894863401604, "deflection": 2517352634593.3403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_599", "improvement_over_parent": null }, "node_601": { "node_id": "node_601", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 179.09 kg\n Factor of Safety: 1.09\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.09187710582356, "fos_buckling": 1.0901041842106707, "fos_yielding": 4.804344296520827, "deflection": 0.0020106725313063655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_600", "improvement_over_parent": null }, "node_602": { "node_id": "node_602", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.34026861274018, "fos_buckling": 1.2842153820153992, "fos_yielding": 5.229379003422584, "deflection": 0.0016176319216124639, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_601", "improvement_over_parent": null }, "node_603": { "node_id": "node_603", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1711392965736, "fos_buckling": 1.55205631906482, "fos_yielding": 6.3200385548330065, "deflection": 0.0014899231950126109, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_602", "improvement_over_parent": null }, "node_604": { "node_id": "node_604", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_603", "improvement_over_parent": null }, "node_605": { "node_id": "node_605", "content": "INITIAL DESIGN (Trace 87)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 147.01 kg\n Factor of Safety: 0.64\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.01137077392684, "fos_buckling": 0.6397452036527324, "fos_yielding": 4.769377598673967, "deflection": 0.0021685937552786377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_606": { "node_id": "node_606", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 161.02 kg\n Factor of Safety: 0.64\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.01612058748407, "fos_buckling": 0.6368100660865437, "fos_yielding": 4.843445475463022, "deflection": 0.0021503154767160484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003238)" }, "parent_node_id": "node_605", "improvement_over_parent": null }, "node_607": { "node_id": "node_607", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 179.37 kg\n Factor of Safety: 0.69\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.36540260852513, "fos_buckling": 0.6939192960450632, "fos_yielding": 5.375043585301906, "deflection": 0.0019387078558380354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_606", "improvement_over_parent": null }, "node_608": { "node_id": "node_608", "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 181.65 kg\n Factor of Safety: 0.69\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.6477878662007, "fos_buckling": 0.6935748044525126, "fos_yielding": 5.372375180870321, "deflection": 0.0019571823997733247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.264)" }, "parent_node_id": "node_607", "improvement_over_parent": null }, "node_609": { "node_id": "node_609", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 183.92 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.9193466450536, "fos_buckling": 0.6932322863969906, "fos_yielding": 5.369722063299334, "deflection": 0.001971401638185022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.215)" }, "parent_node_id": "node_608", "improvement_over_parent": null }, "node_610": { "node_id": "node_610", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.22953386845654, "fos_buckling": 1.5525629350578019, "fos_yielding": 6.322045589950391, "deflection": 0.0014894618591093196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_609", "improvement_over_parent": null }, "node_611": { "node_id": "node_611", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_610", "improvement_over_parent": null }, "node_612": { "node_id": "node_612", "content": "INITIAL DESIGN (Trace 88)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 140.76 kg\n Factor of Safety: 0.49\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.7621541805267, "fos_buckling": 0.48702333062162617, "fos_yielding": 4.025552161477423, "deflection": 0.0025774867224339646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_613": { "node_id": "node_613", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 165.92 kg\n Factor of Safety: 0.57\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.91641834913543, "fos_buckling": 0.5652121149632795, "fos_yielding": 4.7416180997004584, "deflection": 0.0021930882470887017, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_612", "improvement_over_parent": null }, "node_614": { "node_id": "node_614", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 168.76 kg\n Factor of Safety: 0.56\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.76093074503098, "fos_buckling": 0.5648616493882918, "fos_yielding": 4.738678010714942, "deflection": 0.0021783111617522484, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.318)" }, "parent_node_id": "node_613", "improvement_over_parent": null }, "node_615": { "node_id": "node_615", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 170.41 kg\n Factor of Safety: 0.56\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.41328562488957, "fos_buckling": 0.5645566294910587, "fos_yielding": 4.736119169835208, "deflection": 0.0021551804487609104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.319)" }, "parent_node_id": "node_614", "improvement_over_parent": null }, "node_616": { "node_id": "node_616", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 174.32 kg\n Factor of Safety: 0.56\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.32060692263173, "fos_buckling": 0.564316434845584, "fos_yielding": 4.734104154147676, "deflection": 0.00214979005028001, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.393)" }, "parent_node_id": "node_615", "improvement_over_parent": null }, "node_617": { "node_id": "node_617", "content": "MODIFICATION: Increase 14 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 0.84\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.0217878968421, "fos_buckling": 0.8380578257297592, "fos_yielding": 5.603341345232489, "deflection": 0.0019015079700444803, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.623)" }, "parent_node_id": "node_616", "improvement_over_parent": null }, "node_618": { "node_id": "node_618", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.96 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.96496913329537, "fos_buckling": 0.9068385018000228, "fos_yielding": 6.166651085009018, "deflection": 0.001725329620142798, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_617", "improvement_over_parent": null }, "node_619": { "node_id": "node_619", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11634418021723, "fos_buckling": 1.551899951700664, "fos_yielding": 6.318716145744432, "deflection": 0.0014902701465301044, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_618", "improvement_over_parent": null }, "node_620": { "node_id": "node_620", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_619", "improvement_over_parent": null }, "node_621": { "node_id": "node_621", "content": "INITIAL DESIGN (Trace 89)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 132.88 kg\n Factor of Safety: 0.72\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.8800636717388, "fos_buckling": 0.7197116510940136, "fos_yielding": 3.965603425583223, "deflection": 0.002494554138580538, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_622": { "node_id": "node_622", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 161.35 kg\n Factor of Safety: 0.84\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.3502970159093, "fos_buckling": 0.8444057295311661, "fos_yielding": 4.797075768162992, "deflection": 0.0020601369684421405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_621", "improvement_over_parent": null }, "node_623": { "node_id": "node_623", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.72 kg\n Factor of Safety: 0.91\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.7160182950367, "fos_buckling": 0.9115571519700338, "fos_yielding": 5.2725339849723385, "deflection": 0.0018733836643163968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_622", "improvement_over_parent": null }, "node_624": { "node_id": "node_624", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.43 kg\n Factor of Safety: 0.91\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.4282944796543, "fos_buckling": 0.9114159542229789, "fos_yielding": 6.193169266862006, "deflection": 0.0018542604414437745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.192)" }, "parent_node_id": "node_623", "improvement_over_parent": null }, "node_625": { "node_id": "node_625", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.0369002496431, "fos_buckling": 1.284747751514167, "fos_yielding": 6.341980564760606, "deflection": 0.001619482474166408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_624", "improvement_over_parent": null }, "node_626": { "node_id": "node_626", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2793091200519, "fos_buckling": 1.552543897818468, "fos_yielding": 6.324471028878469, "deflection": 0.001489163406882923, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.353)" }, "parent_node_id": "node_625", "improvement_over_parent": null }, "node_627": { "node_id": "node_627", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_626", "improvement_over_parent": null }, "node_628": { "node_id": "node_628", "content": "INITIAL DESIGN (Trace 90)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 116.18 kg\n Factor of Safety: 0.36\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.179268336689, "fos_buckling": 0.36017212714895475, "fos_yielding": 2.3537886046806884, "deflection": 0.006713917529856855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_629": { "node_id": "node_629", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n\nPerformance:\n Mass: 124.43 kg\n Factor of Safety: 0.36\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.42825891060369, "fos_buckling": 0.3598416938264875, "fos_yielding": 2.351637720515144, "deflection": 0.006279714053216488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.001803)" }, "parent_node_id": "node_628", "improvement_over_parent": null }, "node_630": { "node_id": "node_630", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n\nPerformance:\n Mass: 127.59 kg\n Factor of Safety: 0.36\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.5947259273214, "fos_buckling": 0.3596517079644381, "fos_yielding": 2.3499891042814083, "deflection": 0.006044559947502829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.330)" }, "parent_node_id": "node_629", "improvement_over_parent": null }, "node_631": { "node_id": "node_631", "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n\nPerformance:\n Mass: 130.24 kg\n Factor of Safety: 0.36\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.2448972142247, "fos_buckling": 0.35965170796443824, "fos_yielding": 2.3499891042814083, "deflection": 0.00585052877033837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.587)" }, "parent_node_id": "node_630", "improvement_over_parent": null }, "node_632": { "node_id": "node_632", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0038)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.42\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.53293441367038, "fos_buckling": 0.4212149317263117, "fos_yielding": 2.8143571979597155, "deflection": 0.004891446669945304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_631", "improvement_over_parent": null }, "node_633": { "node_id": "node_633", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0048)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 195.83 kg\n Factor of Safety: 0.51\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.8349798666245, "fos_buckling": 0.5064885880047499, "fos_yielding": 3.502628318899629, "deflection": 0.0039379915757362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_632", "improvement_over_parent": null }, "node_634": { "node_id": "node_634", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0048)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 203.13 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.13050591982747, "fos_buckling": 1.5096044064822112, "fos_yielding": 6.148055108012096, "deflection": 0.001495003877057749, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_633", "improvement_over_parent": null }, "node_635": { "node_id": "node_635", "content": "MODIFICATION: Increase 6 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0048)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0048)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 206.43 kg\n Factor of Safety: 1.52\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.43417620367384, "fos_buckling": 1.5230519087619339, "fos_yielding": 6.202821763916011, "deflection": 0.0014797466507279792, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.269)" }, "parent_node_id": "node_634", "improvement_over_parent": null }, "node_636": { "node_id": "node_636", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_635", "improvement_over_parent": null }, "node_637": { "node_id": "node_637", "content": "INITIAL DESIGN (Trace 91)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_638": { "node_id": "node_638", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n\nPerformance:\n Mass: 115.68 kg\n Factor of Safety: 0.62\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.68419979785581, "fos_buckling": 0.6227492566384791, "fos_yielding": 3.15244476101961, "deflection": 0.0027788172092894706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001535)" }, "parent_node_id": "node_637", "improvement_over_parent": null }, "node_639": { "node_id": "node_639", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 143.87 kg\n Factor of Safety: 0.75\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.87023163365836, "fos_buckling": 0.7499071632655482, "fos_yielding": 3.9154586896695247, "deflection": 0.002241842030740163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_638", "improvement_over_parent": null }, "node_640": { "node_id": "node_640", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 149.19 kg\n Factor of Safety: 0.75\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.19314926456536, "fos_buckling": 0.7494701545969522, "fos_yielding": 3.897082809197741, "deflection": 0.0021490121997846507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.218)" }, "parent_node_id": "node_639", "improvement_over_parent": null }, "node_641": { "node_id": "node_641", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 150.64 kg\n Factor of Safety: 0.75\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.64073194477186, "fos_buckling": 0.7491139944291207, "fos_yielding": 4.821033286771702, "deflection": 0.0020846328118180324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.362)" }, "parent_node_id": "node_640", "improvement_over_parent": null }, "node_642": { "node_id": "node_642", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 164.50 kg\n Factor of Safety: 1.17\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.5049466720558, "fos_buckling": 1.1706310293857032, "fos_yielding": 4.870083030151602, "deflection": 0.0018029604888535906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002985)" }, "parent_node_id": "node_641", "improvement_over_parent": null }, "node_643": { "node_id": "node_643", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0065)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 208.85 kg\n Factor of Safety: 1.43\n Max Deflection: 1.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.8492453137776, "fos_buckling": 1.4292916634195496, "fos_yielding": 6.163042324188128, "deflection": 0.0014280672528036594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_642", "improvement_over_parent": null }, "node_644": { "node_id": "node_644", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_643", "improvement_over_parent": null }, "node_645": { "node_id": "node_645", "content": "INITIAL DESIGN (Trace 92)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 123.36 kg\n Factor of Safety: 0.93\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.36274305345516, "fos_buckling": 0.9288821921012217, "fos_yielding": 3.8364548602395967, "deflection": 0.0024369583325158733, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_646": { "node_id": "node_646", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.70 kg\n Factor of Safety: 1.17\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.6977934541325, "fos_buckling": 1.1683516986642242, "fos_yielding": 4.918362590242768, "deflection": 0.0019018549615008983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_645", "improvement_over_parent": null }, "node_647": { "node_id": "node_647", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 159.63 kg\n Factor of Safety: 1.18\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.63298616731103, "fos_buckling": 1.1802967557293302, "fos_yielding": 4.966398434000049, "deflection": 0.0018946535585746883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.477)" }, "parent_node_id": "node_646", "improvement_over_parent": null }, "node_648": { "node_id": "node_648", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.42 kg\n Factor of Safety: 1.45\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.41556332787945, "fos_buckling": 1.4538936450329905, "fos_yielding": 6.240404803768841, "deflection": 0.0015085925275145665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_647", "improvement_over_parent": null }, "node_649": { "node_id": "node_649", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2103738789528, "fos_buckling": 1.5523975905066452, "fos_yielding": 6.321223761070103, "deflection": 0.0014896247548009407, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.277)" }, "parent_node_id": "node_648", "improvement_over_parent": null }, "node_650": { "node_id": "node_650", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_649", "improvement_over_parent": null }, "node_651": { "node_id": "node_651", "content": "INITIAL DESIGN (Trace 93)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.38 kg\n Factor of Safety: 1.10\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.37698617057072, "fos_buckling": 1.0978215037648524, "fos_yielding": 6.177532243302719, "deflection": 0.001598610658408881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_652": { "node_id": "node_652", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 192.24 kg\n Factor of Safety: 0.99\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.2428623589842, "fos_buckling": 0.9870349010375072, "fos_yielding": 6.245223699881737, "deflection": 0.0015895376125748676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_651", "improvement_over_parent": null }, "node_653": { "node_id": "node_653", "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 201.82 kg\n Factor of Safety: 0.97\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.81744803616107, "fos_buckling": 0.9737293905438333, "fos_yielding": 6.246829412526599, "deflection": 0.0015723795275551476, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.639)" }, "parent_node_id": "node_652", "improvement_over_parent": null }, "node_654": { "node_id": "node_654", "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0093)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 211.51 kg\n Factor of Safety: 0.97\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.50890202186253, "fos_buckling": 0.9673004817455112, "fos_yielding": 6.246318864434698, "deflection": 0.0015634448961202169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.464)" }, "parent_node_id": "node_653", "improvement_over_parent": null }, "node_655": { "node_id": "node_655", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_654", "improvement_over_parent": null }, "node_656": { "node_id": "node_656", "content": "INITIAL DESIGN (Trace 94)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 144.46 kg\n Factor of Safety: 0.88\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.4566280254238, "fos_buckling": 0.8750449393411751, "fos_yielding": 2.7424119543008296, "deflection": 0.002209758281310778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_657": { "node_id": "node_657", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 157.27 kg\n Factor of Safety: 1.25\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.26614254789723, "fos_buckling": 1.2455602966604304, "fos_yielding": 3.4534907364926677, "deflection": 0.0019686345160892524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002940)" }, "parent_node_id": "node_656", "improvement_over_parent": null }, "node_658": { "node_id": "node_658", "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 159.95 kg\n Factor of Safety: 1.24\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.95402689771902, "fos_buckling": 1.2413291527715482, "fos_yielding": 3.4403146359119576, "deflection": 0.0019525889344583834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.404)" }, "parent_node_id": "node_657", "improvement_over_parent": null }, "node_659": { "node_id": "node_659", "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 162.41 kg\n Factor of Safety: 1.20\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.41228169676413, "fos_buckling": 1.2040758400515368, "fos_yielding": 5.1022243680270805, "deflection": 0.00183219481775593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.637)" }, "parent_node_id": "node_658", "improvement_over_parent": null }, "node_660": { "node_id": "node_660", "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 164.06 kg\n Factor of Safety: 1.29\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.06241927255633, "fos_buckling": 1.2939127133764765, "fos_yielding": 5.104171406347716, "deflection": 0.0018213783935393918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.236)" }, "parent_node_id": "node_659", "improvement_over_parent": null }, "node_661": { "node_id": "node_661", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 1.52\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.8318350544291, "fos_buckling": 1.5212414490448662, "fos_yielding": 6.194402458462706, "deflection": 0.0015017710455802733, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_660", "improvement_over_parent": null }, "node_662": { "node_id": "node_662", "content": "MODIFICATION: Increase 11 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2200409011164, "fos_buckling": 1.5524239142001914, "fos_yielding": 6.32137555595512, "deflection": 0.001489503448343209, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.406)" }, "parent_node_id": "node_661", "improvement_over_parent": null }, "node_663": { "node_id": "node_663", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_662", "improvement_over_parent": null }, "node_664": { "node_id": "node_664", "content": "INITIAL DESIGN (Trace 95)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 151.11 kg\n Factor of Safety: 0.44\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.10816753595392, "fos_buckling": 0.4382205414539006, "fos_yielding": 1.9648387075119047, "deflection": 0.006687434956827408, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_665": { "node_id": "node_665", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 157.21 kg\n Factor of Safety: 0.79\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.21397884135047, "fos_buckling": 0.7878479269584052, "fos_yielding": 4.838526560432844, "deflection": 0.0023218988934797288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002743)" }, "parent_node_id": "node_664", "improvement_over_parent": null }, "node_666": { "node_id": "node_666", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 160.69 kg\n Factor of Safety: 0.98\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.68807042429893, "fos_buckling": 0.9788028668474053, "fos_yielding": 4.893508521735358, "deflection": 0.0020368850964955438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002069)" }, "parent_node_id": "node_665", "improvement_over_parent": null }, "node_667": { "node_id": "node_667", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 192.13 kg\n Factor of Safety: 1.15\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.13492367238507, "fos_buckling": 1.1504497953886352, "fos_yielding": 5.857269127675408, "deflection": 0.0017072121886069552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_666", "improvement_over_parent": null }, "node_668": { "node_id": "node_668", "content": "MODIFICATION: Increase 10 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.15\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.23090228898857, "fos_buckling": 1.145002437164351, "fos_yielding": 5.829535068108116, "deflection": 0.0016953112937296935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.608)" }, "parent_node_id": "node_667", "improvement_over_parent": null }, "node_669": { "node_id": "node_669", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_668", "improvement_over_parent": null }, "node_670": { "node_id": "node_670", "content": "INITIAL DESIGN (Trace 96)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 142.60 kg\n Factor of Safety: 0.03\n Max Deflection: 3.59e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.60389261578374, "fos_buckling": 0.032643785212599585, "fos_yielding": 0.20094612047749338, "deflection": 35915474450652.6, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_671": { "node_id": "node_671", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 145.89 kg\n Factor of Safety: 0.26\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.88512952003452, "fos_buckling": 0.2648041809547097, "fos_yielding": 2.166347087219694, "deflection": 0.005155371740665068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002038)" }, "parent_node_id": "node_670", "improvement_over_parent": null }, "node_672": { "node_id": "node_672", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.89066258270603, "fos_buckling": 1.3680738175192853, "fos_yielding": 5.429908034790793, "deflection": 0.0017335017464495917, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004533)" }, "parent_node_id": "node_671", "improvement_over_parent": null }, "node_673": { "node_id": "node_673", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.02877746456534, "fos_buckling": 1.5512989421163028, "fos_yielding": 6.315590599273472, "deflection": 0.001490904729364472, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_672", "improvement_over_parent": null }, "node_674": { "node_id": "node_674", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_673", "improvement_over_parent": null }, "node_675": { "node_id": "node_675", "content": "INITIAL DESIGN (Trace 97)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0007)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 110.10 kg\n Factor of Safety: 0.24\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.09876859202289, "fos_buckling": 0.23775335543585624, "fos_yielding": 1.9097155272080006, "deflection": 0.007108659997373265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_676": { "node_id": "node_676", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0008)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 125.59 kg\n Factor of Safety: 0.27\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.5869514962378, "fos_buckling": 0.2658207688759131, "fos_yielding": 2.1748243144427306, "deflection": 0.006240190894911122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_675", "improvement_over_parent": null }, "node_677": { "node_id": "node_677", "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 126.25 kg\n Factor of Safety: 0.27\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.24990887128163, "fos_buckling": 0.2658109591470342, "fos_yielding": 2.174744055714361, "deflection": 0.006232627969348265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.504)" }, "parent_node_id": "node_676", "improvement_over_parent": null }, "node_678": { "node_id": "node_678", "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 126.68 kg\n Factor of Safety: 0.27\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.67891592958144, "fos_buckling": 0.26580461154870183, "fos_yielding": 2.174692122559364, "deflection": 0.006229666432963804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.222)" }, "parent_node_id": "node_677", "improvement_over_parent": null }, "node_679": { "node_id": "node_679", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 144.89 kg\n Factor of Safety: 0.26\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.88636242016543, "fos_buckling": 0.2649988872435525, "fos_yielding": 2.168100053711673, "deflection": 0.0051666318076080305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003592)" }, "parent_node_id": "node_678", "improvement_over_parent": null }, "node_680": { "node_id": "node_680", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 169.04 kg\n Factor of Safety: 0.30\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.0374968369386, "fos_buckling": 0.30060012268982533, "fos_yielding": 2.522705970406721, "deflection": 0.004440084781689552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_679", "improvement_over_parent": null }, "node_681": { "node_id": "node_681", "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 170.30 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.2979796251447, "fos_buckling": 0.3005791517980923, "fos_yielding": 2.5225299778179413, "deflection": 0.004427604017249335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.479)" }, "parent_node_id": "node_680", "improvement_over_parent": null }, "node_682": { "node_id": "node_682", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15587055350855, "fos_buckling": 1.552042689611509, "fos_yielding": 6.3200007816696395, "deflection": 0.0014899927564751888, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_681", "improvement_over_parent": null }, "node_683": { "node_id": "node_683", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_682", "improvement_over_parent": null }, "node_684": { "node_id": "node_684", "content": "INITIAL DESIGN (Trace 98)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 93.50 kg\n Factor of Safety: 0.42\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.50197685799901, "fos_buckling": 0.41992979694092586, "fos_yielding": 2.6038663119367063, "deflection": 0.0053761131778422705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_685": { "node_id": "node_685", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n\nPerformance:\n Mass: 103.63 kg\n Factor of Safety: 0.42\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.63280298027787, "fos_buckling": 0.4194591735479831, "fos_yielding": 2.6009269293713078, "deflection": 0.005432802084412149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002237)" }, "parent_node_id": "node_684", "improvement_over_parent": null }, "node_686": { "node_id": "node_686", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0035)]\n\nPerformance:\n Mass: 108.78 kg\n Factor of Safety: 0.42\n Max Deflection: 5.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.77576174827064, "fos_buckling": 0.41922066295067617, "fos_yielding": 2.599437276923404, "deflection": 0.005440699068554297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.553)" }, "parent_node_id": "node_685", "improvement_over_parent": null }, "node_687": { "node_id": "node_687", "content": "MODIFICATION: Increase 11 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0035)]\n\nPerformance:\n Mass: 115.84 kg\n Factor of Safety: 0.42\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.84476923263189, "fos_buckling": 0.4182400215481565, "fos_yielding": 2.5933126683410155, "deflection": 0.00545169989730813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.582)" }, "parent_node_id": "node_686", "improvement_over_parent": null }, "node_688": { "node_id": "node_688", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0040)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 126.83 kg\n Factor of Safety: 0.75\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.82542236439147, "fos_buckling": 0.7468650279223117, "fos_yielding": 4.053329616006156, "deflection": 0.0024532209491374625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002329)" }, "parent_node_id": "node_687", "improvement_over_parent": null }, "node_689": { "node_id": "node_689", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0053)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 162.15 kg\n Factor of Safety: 0.93\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.14924266416364, "fos_buckling": 0.9259883153210046, "fos_yielding": 5.169911388923098, "deflection": 0.001923294731543509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_688", "improvement_over_parent": null }, "node_690": { "node_id": "node_690", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0053)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 168.44 kg\n Factor of Safety: 1.06\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.43627302921453, "fos_buckling": 1.0567314506200975, "fos_yielding": 4.781374960293294, "deflection": 0.0018537475196152818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002227)" }, "parent_node_id": "node_689", "improvement_over_parent": null }, "node_691": { "node_id": "node_691", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0067)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0058)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 210.25 kg\n Factor of Safety: 1.29\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.24921293843778, "fos_buckling": 1.2853328945353992, "fos_yielding": 5.963447808958151, "deflection": 0.0014897789038783135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_690", "improvement_over_parent": null }, "node_692": { "node_id": "node_692", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_691", "improvement_over_parent": null }, "node_693": { "node_id": "node_693", "content": "INITIAL DESIGN (Trace 99)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 125.43 kg\n Factor of Safety: 0.21\n Max Deflection: 7.11e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.42630424636582, "fos_buckling": 0.21007891390731814, "fos_yielding": 1.4781614253085276, "deflection": 7108821727317.915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_694": { "node_id": "node_694", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 150.78 kg\n Factor of Safety: 0.41\n Max Deflection: 6.11e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.78273683813595, "fos_buckling": 0.4113053172043326, "fos_yielding": 2.998190292949714, "deflection": 6110720219199.546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_693", "improvement_over_parent": null }, "node_695": { "node_id": "node_695", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n\nPerformance:\n Mass: 152.89 kg\n Factor of Safety: 0.18\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.89371367808343, "fos_buckling": 0.17953956843467278, "fos_yielding": 1.3939455691368976, "deflection": 0.00486793616558393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001275)" }, "parent_node_id": "node_694", "improvement_over_parent": null }, "node_696": { "node_id": "node_696", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 168.49 kg\n Factor of Safety: 0.18\n Max Deflection: 4.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.48853374847724, "fos_buckling": 0.1790745832892192, "fos_yielding": 1.3903354235357328, "deflection": 0.0048696799928728525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_695", "improvement_over_parent": null }, "node_697": { "node_id": "node_697", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 170.50 kg\n Factor of Safety: 0.18\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.504256794813, "fos_buckling": 0.17901465691726737, "fos_yielding": 1.3898701550638017, "deflection": 0.0048525132400448635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.314)" }, "parent_node_id": "node_696", "improvement_over_parent": null }, "node_698": { "node_id": "node_698", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0044)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.36 kg\n Factor of Safety: 1.15\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.36214772317683, "fos_buckling": 1.1474418204288395, "fos_yielding": 6.184117023075338, "deflection": 0.001473677022736627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_697", "improvement_over_parent": null }, "node_699": { "node_id": "node_699", "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0063)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 207.74 kg\n Factor of Safety: 1.16\n Max Deflection: 1.45e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.73925780779888, "fos_buckling": 1.1570697616931471, "fos_yielding": 6.170586778496696, "deflection": 0.0014457631300276669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.441)" }, "parent_node_id": "node_698", "improvement_over_parent": null }, "node_700": { "node_id": "node_700", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_699", "improvement_over_parent": null }, "node_701": { "node_id": "node_701", "content": "INITIAL DESIGN (Trace 100)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 127.71 kg\n Factor of Safety: 0.66\n Max Deflection: 2.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.71381029493081, "fos_buckling": 0.6560250060817585, "fos_yielding": 2.7917086412112306, "deflection": 0.002892638648816666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_702": { "node_id": "node_702", "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 131.79 kg\n Factor of Safety: 0.66\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.78597738819695, "fos_buckling": 0.655579670625387, "fos_yielding": 2.789813520095015, "deflection": 0.0028552800012876397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.385)" }, "parent_node_id": "node_701", "improvement_over_parent": null }, "node_703": { "node_id": "node_703", "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 140.56 kg\n Factor of Safety: 0.98\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.55640306333976, "fos_buckling": 0.9786776372236652, "fos_yielding": 2.787096938353398, "deflection": 0.0023739942696307005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.597)" }, "parent_node_id": "node_702", "improvement_over_parent": null }, "node_704": { "node_id": "node_704", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 143.01 kg\n Factor of Safety: 0.98\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.01030964099567, "fos_buckling": 0.9785443355915916, "fos_yielding": 2.7867173194099433, "deflection": 0.0023580029974294477, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.255)" }, "parent_node_id": "node_703", "improvement_over_parent": null }, "node_705": { "node_id": "node_705", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 145.77 kg\n Factor of Safety: 1.19\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.77408353534943, "fos_buckling": 1.188263993826528, "fos_yielding": 3.4414717511546247, "deflection": 0.0021389699312439085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001695)" }, "parent_node_id": "node_704", "improvement_over_parent": null }, "node_706": { "node_id": "node_706", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 147.30 kg\n Factor of Safety: 1.18\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.2994851607559, "fos_buckling": 1.1824261572689478, "fos_yielding": 4.584570633665999, "deflection": 0.0020520720849508023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.385)" }, "parent_node_id": "node_705", "improvement_over_parent": null }, "node_707": { "node_id": "node_707", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 176.17 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.1736834577717, "fos_buckling": 1.3757956232117916, "fos_yielding": 5.466957597079962, "deflection": 0.001721446263944257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_706", "improvement_over_parent": null }, "node_708": { "node_id": "node_708", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0796304041931, "fos_buckling": 1.5509654454349184, "fos_yielding": 6.31478719565919, "deflection": 0.001490811036219039, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_707", "improvement_over_parent": null }, "node_709": { "node_id": "node_709", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_708", "improvement_over_parent": null }, "node_710": { "node_id": "node_710", "content": "INITIAL DESIGN (Trace 101)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 104.85 kg\n Factor of Safety: 0.88\n Max Deflection: 2.11e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.85179946562863, "fos_buckling": 0.8756716958501137, "fos_yielding": 4.139539823269227, "deflection": 2111988439789.4446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_711": { "node_id": "node_711", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 117.07 kg\n Factor of Safety: 0.37\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.0656825300768, "fos_buckling": 0.3744872210375796, "fos_yielding": 2.6554554157746186, "deflection": 0.0030893310547982287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002607)" }, "parent_node_id": "node_710", "improvement_over_parent": null }, "node_712": { "node_id": "node_712", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 126.69 kg\n Factor of Safety: 0.37\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.68783582776601, "fos_buckling": 0.37369495479098397, "fos_yielding": 2.649837526626282, "deflection": 0.002960724901963444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002542)" }, "parent_node_id": "node_711", "improvement_over_parent": null }, "node_713": { "node_id": "node_713", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n\nPerformance:\n Mass: 160.05 kg\n Factor of Safety: 0.46\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.04831664695266, "fos_buckling": 0.4612980926965774, "fos_yielding": 3.34383403166117, "deflection": 0.002358164827669774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_712", "improvement_over_parent": null }, "node_714": { "node_id": "node_714", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 182.64 kg\n Factor of Safety: 0.52\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.6396428000248, "fos_buckling": 0.5181174556920352, "fos_yielding": 3.813808612587358, "deflection": 0.0020750480637721754, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_713", "improvement_over_parent": null }, "node_715": { "node_id": "node_715", "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 183.84 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.84096008157331, "fos_buckling": 0.6928915906586472, "fos_yielding": 5.366484651632579, "deflection": 0.0019722577438115287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.447)" }, "parent_node_id": "node_714", "improvement_over_parent": null }, "node_716": { "node_id": "node_716", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15114730497626, "fos_buckling": 1.552029706050632, "fos_yielding": 6.319389183981727, "deflection": 0.0014900486364222366, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_715", "improvement_over_parent": null }, "node_717": { "node_id": "node_717", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_716", "improvement_over_parent": null }, "node_718": { "node_id": "node_718", "content": "INITIAL DESIGN (Trace 102)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 132.57 kg\n Factor of Safety: 0.96\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.5697407681139, "fos_buckling": 0.960219263980918, "fos_yielding": 3.7122380556350842, "deflection": 0.0023427030071764706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_719": { "node_id": "node_719", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 167.20 kg\n Factor of Safety: 1.17\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.20324509560638, "fos_buckling": 1.1675358160033191, "fos_yielding": 4.660016423127078, "deflection": 0.0018660027278606464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_718", "improvement_over_parent": null }, "node_720": { "node_id": "node_720", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 170.03 kg\n Factor of Safety: 1.20\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.03418603382337, "fos_buckling": 1.2036484952817887, "fos_yielding": 5.532745085034537, "deflection": 0.0017320853923753357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001739)" }, "parent_node_id": "node_719", "improvement_over_parent": null }, "node_721": { "node_id": "node_721", "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0047)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 174.65 kg\n Factor of Safety: 1.19\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.64889281347632, "fos_buckling": 1.191401285133457, "fos_yielding": 5.603934266700756, "deflection": 0.0017110053993541067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.422)" }, "parent_node_id": "node_720", "improvement_over_parent": null }, "node_722": { "node_id": "node_722", "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0036)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0047)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 175.94 kg\n Factor of Safety: 1.18\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.9369572918164, "fos_buckling": 1.1842552967122177, "fos_yielding": 5.5977536786363356, "deflection": 0.0016872419058903475, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.220)" }, "parent_node_id": "node_721", "improvement_over_parent": null }, "node_723": { "node_id": "node_723", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 198.03 kg\n Factor of Safety: 1.31\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.0282313860964, "fos_buckling": 1.310528701214027, "fos_yielding": 6.285449581558758, "deflection": 0.001502994280008061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_722", "improvement_over_parent": null }, "node_724": { "node_id": "node_724", "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0027)]\n\nPerformance:\n Mass: 199.14 kg\n Factor of Safety: 1.29\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.14380914420684, "fos_buckling": 1.2876289723681842, "fos_yielding": 6.332595878934786, "deflection": 0.0014982323610068513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.389)" }, "parent_node_id": "node_723", "improvement_over_parent": null }, "node_725": { "node_id": "node_725", "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0054)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0027)]\n\nPerformance:\n Mass: 205.72 kg\n Factor of Safety: 1.27\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.7208862110171, "fos_buckling": 1.2725183153479893, "fos_yielding": 6.235503010808966, "deflection": 0.001474229157301091, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.353)" }, "parent_node_id": "node_724", "improvement_over_parent": null }, "node_726": { "node_id": "node_726", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_725", "improvement_over_parent": null }, "node_727": { "node_id": "node_727", "content": "INITIAL DESIGN (Trace 103)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 146.54 kg\n Factor of Safety: 0.54\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.5392897386041, "fos_buckling": 0.541576220408859, "fos_yielding": 2.882911632312387, "deflection": 0.006859335147976651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_728": { "node_id": "node_728", "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 155.50 kg\n Factor of Safety: 0.54\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.49610511250256, "fos_buckling": 0.5410308488566872, "fos_yielding": 2.957359954685585, "deflection": 0.006183031658534095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.466)" }, "parent_node_id": "node_727", "improvement_over_parent": null }, "node_729": { "node_id": "node_729", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 162.41 kg\n Factor of Safety: 0.82\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.40822573862943, "fos_buckling": 0.8209404807166445, "fos_yielding": 4.439705598134615, "deflection": 0.0024160902827735364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002467)" }, "parent_node_id": "node_728", "improvement_over_parent": null }, "node_730": { "node_id": "node_730", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 184.89 kg\n Factor of Safety: 0.91\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.88753225481975, "fos_buckling": 0.9104325041032405, "fos_yielding": 5.0451846354106715, "deflection": 0.0021267691498682547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_729", "improvement_over_parent": null }, "node_731": { "node_id": "node_731", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 198.76 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.7578901257776, "fos_buckling": 0.9076963423299826, "fos_yielding": 6.16968181724342, "deflection": 0.0017310992688986243, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_730", "improvement_over_parent": null }, "node_732": { "node_id": "node_732", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 202.91 kg\n Factor of Safety: 1.29\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.90926517269946, "fos_buckling": 1.2919658391387656, "fos_yielding": 6.242189989453622, "deflection": 0.0014971005794255602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_731", "improvement_over_parent": null }, "node_733": { "node_id": "node_733", "content": "MODIFICATION: Increase 3 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21195154252626, "fos_buckling": 1.5527488444360071, "fos_yielding": 6.32040523250599, "deflection": 0.0014895349940846985, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.565)" }, "parent_node_id": "node_732", "improvement_over_parent": null }, "node_734": { "node_id": "node_734", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_733", "improvement_over_parent": null }, "node_735": { "node_id": "node_735", "content": "INITIAL DESIGN (Trace 104)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 118.71 kg\n Factor of Safety: 0.74\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.70528495317262, "fos_buckling": 0.7439567692847162, "fos_yielding": 2.9645512278880295, "deflection": 0.002583668315792822, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_736": { "node_id": "node_736", "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 120.04 kg\n Factor of Safety: 1.00\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.04292828091788, "fos_buckling": 0.9990577433855785, "fos_yielding": 3.7916949316305777, "deflection": 0.0024871870739773196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.468)" }, "parent_node_id": "node_735", "improvement_over_parent": null }, "node_737": { "node_id": "node_737", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 121.68 kg\n Factor of Safety: 1.00\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.68116441448822, "fos_buckling": 1.0009679968678473, "fos_yielding": 3.7989448613716834, "deflection": 0.0024764282726373967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.565)" }, "parent_node_id": "node_736", "improvement_over_parent": null }, "node_738": { "node_id": "node_738", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 136.15 kg\n Factor of Safety: 1.10\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.14612757890424, "fos_buckling": 1.1049636600719446, "fos_yielding": 4.244178901935673, "deflection": 0.0022170155241919703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_737", "improvement_over_parent": null }, "node_739": { "node_id": "node_739", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 160.26 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.26235548519605, "fos_buckling": 1.271379621809708, "fos_yielding": 4.983521137015081, "deflection": 0.0018886366246927931, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_738", "improvement_over_parent": null }, "node_740": { "node_id": "node_740", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.06270417038556, "fos_buckling": 1.5515402875510518, "fos_yielding": 6.316946767261845, "deflection": 0.0014907263162032883, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_739", "improvement_over_parent": null }, "node_741": { "node_id": "node_741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_740", "improvement_over_parent": null }, "node_742": { "node_id": "node_742", "content": "INITIAL DESIGN (Trace 105)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 185.25 kg\n Factor of Safety: 0.93\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.24735488497765, "fos_buckling": 0.9258290763799233, "fos_yielding": 5.195186305443473, "deflection": 0.0018469709504256588, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_743": { "node_id": "node_743", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 199.12 kg\n Factor of Safety: 1.42\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.11771275593551, "fos_buckling": 1.4159762814535601, "fos_yielding": 6.311771947860682, "deflection": 0.0015259381551117918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_742", "improvement_over_parent": null }, "node_744": { "node_id": "node_744", "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 202.42 kg\n Factor of Safety: 1.41\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.4238255797613, "fos_buckling": 1.4068570607833824, "fos_yielding": 6.313368979021687, "deflection": 0.001516363945891818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.211)" }, "parent_node_id": "node_743", "improvement_over_parent": null }, "node_745": { "node_id": "node_745", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.42\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.0447256468406, "fos_buckling": 1.422025658601673, "fos_yielding": 6.308827084389469, "deflection": 0.0014995091701159968, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.562)" }, "parent_node_id": "node_744", "improvement_over_parent": null }, "node_746": { "node_id": "node_746", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_745", "improvement_over_parent": null }, "node_747": { "node_id": "node_747", "content": "INITIAL DESIGN (Trace 106)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_748": { "node_id": "node_748", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 135.51 kg\n Factor of Safety: 0.95\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.5078828955622, "fos_buckling": 0.9479761384054722, "fos_yielding": 3.261335455463202, "deflection": 0.0024149082858531167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002509)" }, "parent_node_id": "node_747", "improvement_over_parent": null }, "node_749": { "node_id": "node_749", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 155.60 kg\n Factor of Safety: 1.07\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.5967776014237, "fos_buckling": 1.0668253243446113, "fos_yielding": 3.746262534767555, "deflection": 0.0021076001476638888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_748", "improvement_over_parent": null }, "node_750": { "node_id": "node_750", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 157.83 kg\n Factor of Safety: 1.07\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.83048256998796, "fos_buckling": 1.0668253243446115, "fos_yielding": 3.746262534767553, "deflection": 0.0021076001476638883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.399)" }, "parent_node_id": "node_749", "improvement_over_parent": null }, "node_751": { "node_id": "node_751", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 160.89 kg\n Factor of Safety: 1.28\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.88564926631912, "fos_buckling": 1.2838768637744955, "fos_yielding": 3.6244828024714386, "deflection": 0.001954437292383081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001887)" }, "parent_node_id": "node_750", "improvement_over_parent": null }, "node_752": { "node_id": "node_752", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 201.81 kg\n Factor of Safety: 1.55\n Max Deflection: 1.56e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.80686373674612, "fos_buckling": 1.5469632263776218, "fos_yielding": 4.551847342533343, "deflection": 0.0015640983058728588, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_751", "improvement_over_parent": null }, "node_753": { "node_id": "node_753", "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.25120398423894, "fos_buckling": 1.55266257549107, "fos_yielding": 6.322499208457771, "deflection": 0.0014894253558151598, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.479)" }, "parent_node_id": "node_752", "improvement_over_parent": null }, "node_754": { "node_id": "node_754", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_753", "improvement_over_parent": null }, "node_755": { "node_id": "node_755", "content": "INITIAL DESIGN (Trace 107)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 1.29\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.65584188025076, "fos_buckling": 1.2862312155162194, "fos_yielding": 5.237233325819024, "deflection": 0.001665992958962342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_756": { "node_id": "node_756", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 192.47 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.46576902797784, "fos_buckling": 1.2854195380785935, "fos_yielding": 5.233928364724266, "deflection": 0.001641319056716064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.355)" }, "parent_node_id": "node_755", "improvement_over_parent": null }, "node_757": { "node_id": "node_757", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 196.30 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.29663971181128, "fos_buckling": 1.3073618366611646, "fos_yielding": 6.2520139692475425, "deflection": 0.001526537560382893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_756", "improvement_over_parent": null }, "node_758": { "node_id": "node_758", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16251590022478, "fos_buckling": 1.5521511056261592, "fos_yielding": 6.319997057317312, "deflection": 0.0014899304683033154, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_757", "improvement_over_parent": null }, "node_759": { "node_id": "node_759", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_758", "improvement_over_parent": null }, "node_760": { "node_id": "node_760", "content": "INITIAL DESIGN (Trace 108)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 108.68 kg\n Factor of Safety: 0.60\n Max Deflection: 3.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.67750621615548, "fos_buckling": 0.601965165967335, "fos_yielding": 3.0465144846396934, "deflection": 0.003556987859557367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_761": { "node_id": "node_761", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n\nPerformance:\n Mass: 110.43 kg\n Factor of Safety: 0.57\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.42561580534942, "fos_buckling": 0.5724550457093434, "fos_yielding": 3.15549581059249, "deflection": 0.0030445979814638876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001003)" }, "parent_node_id": "node_760", "improvement_over_parent": null }, "node_762": { "node_id": "node_762", "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n\nPerformance:\n Mass: 113.19 kg\n Factor of Safety: 0.57\n Max Deflection: 3.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.18767033252988, "fos_buckling": 0.5705018861355957, "fos_yielding": 3.16049717813479, "deflection": 0.0030206555214743456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.276)" }, "parent_node_id": "node_761", "improvement_over_parent": null }, "node_763": { "node_id": "node_763", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n\nPerformance:\n Mass: 148.00 kg\n Factor of Safety: 0.73\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.00079475331364, "fos_buckling": 0.7306322022398655, "fos_yielding": 4.123156859181925, "deflection": 0.0023153596377517983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_762", "improvement_over_parent": null }, "node_764": { "node_id": "node_764", "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n\nPerformance:\n Mass: 150.78 kg\n Factor of Safety: 0.73\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.77611608550262, "fos_buckling": 0.7319552106013261, "fos_yielding": 4.119707442391222, "deflection": 0.002315624487287925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.245)" }, "parent_node_id": "node_763", "improvement_over_parent": null }, "node_765": { "node_id": "node_765", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 189.69 kg\n Factor of Safety: 0.90\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.69249916959575, "fos_buckling": 0.8999219470550166, "fos_yielding": 5.172804762058972, "deflection": 0.001844159212938708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_764", "improvement_over_parent": null }, "node_766": { "node_id": "node_766", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 203.56 kg\n Factor of Safety: 1.23\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.5628570405536, "fos_buckling": 1.2276463234494719, "fos_yielding": 6.215175027619617, "deflection": 0.0015101613379456674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_765", "improvement_over_parent": null }, "node_767": { "node_id": "node_767", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0048)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 207.74 kg\n Factor of Safety: 1.23\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.73638732879206, "fos_buckling": 1.2254014888215705, "fos_yielding": 6.2925770728111425, "deflection": 0.0015026805823377873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.466)" }, "parent_node_id": "node_766", "improvement_over_parent": null }, "node_768": { "node_id": "node_768", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_767", "improvement_over_parent": null }, "node_769": { "node_id": "node_769", "content": "INITIAL DESIGN (Trace 109)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 162.72 kg\n Factor of Safety: 0.78\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.72425164728688, "fos_buckling": 0.7813451485407692, "fos_yielding": 4.354247698215721, "deflection": 0.002208076117628196, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_770": { "node_id": "node_770", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 166.17 kg\n Factor of Safety: 1.10\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.16721219547813, "fos_buckling": 1.102057599816959, "fos_yielding": 4.3534176681638135, "deflection": 0.0019425419126674673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002049)" }, "parent_node_id": "node_769", "improvement_over_parent": null }, "node_771": { "node_id": "node_771", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 200.21 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.21423054533724, "fos_buckling": 1.283665556051445, "fos_yielding": 5.226200917081304, "deflection": 0.001618590408075285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_770", "improvement_over_parent": null }, "node_772": { "node_id": "node_772", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.04510122917068, "fos_buckling": 1.5513985442250324, "fos_yielding": 6.316225013879327, "deflection": 0.0014908079524905463, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_771", "improvement_over_parent": null }, "node_773": { "node_id": "node_773", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_772", "improvement_over_parent": null }, "node_774": { "node_id": "node_774", "content": "INITIAL DESIGN (Trace 110)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 112.61 kg\n Factor of Safety: 0.48\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.60604175588958, "fos_buckling": 0.4798254361676747, "fos_yielding": 3.4905516247910686, "deflection": 0.0031604160305605655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_775": { "node_id": "node_775", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 125.63 kg\n Factor of Safety: 1.04\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.62512359341756, "fos_buckling": 1.038852668156006, "fos_yielding": 3.9728314645390173, "deflection": 0.002339244872977824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002575)" }, "parent_node_id": "node_774", "improvement_over_parent": null }, "node_776": { "node_id": "node_776", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 127.53 kg\n Factor of Safety: 1.04\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.5317254830583, "fos_buckling": 1.0406358825596997, "fos_yielding": 3.979650920760453, "deflection": 0.0023287589378426224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.642)" }, "parent_node_id": "node_775", "improvement_over_parent": null }, "node_777": { "node_id": "node_777", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 166.16 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.16288350157146, "fos_buckling": 1.3062047376777273, "fos_yielding": 5.164869699325527, "deflection": 0.0017956495203523045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_776", "improvement_over_parent": null }, "node_778": { "node_id": "node_778", "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 170.47 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.47411924411358, "fos_buckling": 1.3392083689788834, "fos_yielding": 5.295369497985049, "deflection": 0.0017775049428195096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.502)" }, "parent_node_id": "node_777", "improvement_over_parent": null }, "node_779": { "node_id": "node_779", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1578732063387, "fos_buckling": 1.5520881638098691, "fos_yielding": 6.319702815735063, "deflection": 0.0014899794076917163, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_778", "improvement_over_parent": null }, "node_780": { "node_id": "node_780", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_779", "improvement_over_parent": null }, "node_781": { "node_id": "node_781", "content": "INITIAL DESIGN (Trace 111)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 148.41 kg\n Factor of Safety: 1.00\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.41385828893618, "fos_buckling": 0.9969218396326134, "fos_yielding": 4.772743823414517, "deflection": 0.0020066796863140997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_782": { "node_id": "node_782", "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 152.21 kg\n Factor of Safety: 1.21\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.20885028452793, "fos_buckling": 1.2051761202857194, "fos_yielding": 4.904516180850539, "deflection": 0.0019533646819977885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.585)" }, "parent_node_id": "node_781", "improvement_over_parent": null }, "node_783": { "node_id": "node_783", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.84 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.84481008333344, "fos_buckling": 1.4838071628233405, "fos_yielding": 6.309615140028346, "deflection": 0.0015185185779386275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_782", "improvement_over_parent": null }, "node_784": { "node_id": "node_784", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.17 kg\n Factor of Safety: 1.46\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.16699757856668, "fos_buckling": 1.4643349417683424, "fos_yielding": 6.315375148533207, "deflection": 0.0015149301883481956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.222)" }, "parent_node_id": "node_783", "improvement_over_parent": null }, "node_785": { "node_id": "node_785", "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20114081783709, "fos_buckling": 1.5524250212484358, "fos_yielding": 6.321337472369585, "deflection": 0.0014896270953444566, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.572)" }, "parent_node_id": "node_784", "improvement_over_parent": null }, "node_786": { "node_id": "node_786", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_785", "improvement_over_parent": null }, "node_787": { "node_id": "node_787", "content": "INITIAL DESIGN (Trace 112)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 117.13 kg\n Factor of Safety: 0.82\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.13479272809917, "fos_buckling": 0.8190709158662046, "fos_yielding": 3.104601843983025, "deflection": 0.002773306494067474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_788": { "node_id": "node_788", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 1.00\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.54182091568612, "fos_buckling": 1.0018759805721988, "fos_yielding": 3.8973876455623007, "deflection": 0.002209138527769035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_787", "improvement_over_parent": null }, "node_789": { "node_id": "node_789", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 150.38 kg\n Factor of Safety: 1.21\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.38190305121998, "fos_buckling": 1.208589004841304, "fos_yielding": 4.069651650280679, "deflection": 0.002040541048105786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001745)" }, "parent_node_id": "node_788", "improvement_over_parent": null }, "node_790": { "node_id": "node_790", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 151.29 kg\n Factor of Safety: 1.21\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.29427583892266, "fos_buckling": 1.2104744696626002, "fos_yielding": 4.708854523727781, "deflection": 0.0019984415130126624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.193)" }, "parent_node_id": "node_789", "improvement_over_parent": null }, "node_791": { "node_id": "node_791", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 174.12 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.11695532509634, "fos_buckling": 1.3630292943896294, "fos_yielding": 5.406423264497877, "deflection": 0.0017410545846625728, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_790", "improvement_over_parent": null }, "node_792": { "node_id": "node_792", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0775912118171, "fos_buckling": 1.5515910525894225, "fos_yielding": 6.317190217883648, "deflection": 0.0014905601691134493, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_791", "improvement_over_parent": null }, "node_793": { "node_id": "node_793", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_792", "improvement_over_parent": null }, "node_794": { "node_id": "node_794", "content": "INITIAL DESIGN (Trace 113)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 167.09 kg\n Factor of Safety: 1.27\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.08848725748987, "fos_buckling": 1.2707090142031685, "fos_yielding": 5.252885713284199, "deflection": 0.0017890405534544732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_795": { "node_id": "node_795", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.98 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.98037124534756, "fos_buckling": 1.4594614887308504, "fos_yielding": 6.17202830534935, "deflection": 0.0015228434844724629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_794", "improvement_over_parent": null }, "node_796": { "node_id": "node_796", "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.76 kg\n Factor of Safety: 1.53\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.7573997856539, "fos_buckling": 1.5314315067527686, "fos_yielding": 6.323835239861237, "deflection": 0.0015043366543418906, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.645)" }, "parent_node_id": "node_795", "improvement_over_parent": null }, "node_797": { "node_id": "node_797", "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17127597707878, "fos_buckling": 1.5521435633761496, "fos_yielding": 6.319969058621605, "deflection": 0.0014899100833089993, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.460)" }, "parent_node_id": "node_796", "improvement_over_parent": null }, "node_798": { "node_id": "node_798", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_797", "improvement_over_parent": null }, "node_799": { "node_id": "node_799", "content": "INITIAL DESIGN (Trace 114)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.77 kg\n Factor of Safety: 0.91\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.7733773940369, "fos_buckling": 0.9117859570309723, "fos_yielding": 5.241965847739069, "deflection": 0.0018341064673299881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_800": { "node_id": "node_800", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 186.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.018723635034, "fos_buckling": 0.9101766695117142, "fos_yielding": 6.186383129950937, "deflection": 0.0017243861416330174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_799", "improvement_over_parent": null }, "node_801": { "node_id": "node_801", "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 186.56 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.56053774467279, "fos_buckling": 0.9101230945070692, "fos_yielding": 6.186018985806151, "deflection": 0.0017221728428974852, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.181)" }, "parent_node_id": "node_800", "improvement_over_parent": null }, "node_802": { "node_id": "node_802", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914351466158, "fos_buckling": 1.552131377025919, "fos_yielding": 6.31991672706144, "deflection": 0.0014899152586472155, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_801", "improvement_over_parent": null }, "node_803": { "node_id": "node_803", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_802", "improvement_over_parent": null }, "node_804": { "node_id": "node_804", "content": "INITIAL DESIGN (Trace 115)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.08 kg\n Factor of Safety: 0.91\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.07944229783362, "fos_buckling": 0.9110756696075409, "fos_yielding": 4.752665817816014, "deflection": 0.0027790250290274723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_805": { "node_id": "node_805", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 191.23 kg\n Factor of Safety: 1.32\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.23081734475548, "fos_buckling": 1.3165385003481977, "fos_yielding": 6.113183511246183, "deflection": 0.0015395770180876987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_804", "improvement_over_parent": null }, "node_806": { "node_id": "node_806", "content": "MODIFICATION: Increase 10 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0055)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 197.93 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.9260944186444, "fos_buckling": 1.383399894670741, "fos_yielding": 6.094379731572511, "deflection": 0.0015172234524685414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.497)" }, "parent_node_id": "node_805", "improvement_over_parent": null }, "node_807": { "node_id": "node_807", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0055)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 205.79 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.7919706070579, "fos_buckling": 1.5090148077196768, "fos_yielding": 6.1443561194960115, "deflection": 0.0014921281321554616, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_806", "improvement_over_parent": null }, "node_808": { "node_id": "node_808", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_807", "improvement_over_parent": null }, "node_809": { "node_id": "node_809", "content": "INITIAL DESIGN (Trace 116)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 120.27 kg\n Factor of Safety: 0.23\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.27469028672604, "fos_buckling": 0.22691319135073731, "fos_yielding": 1.256325119596029, "deflection": 0.013445510603907567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_810": { "node_id": "node_810", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 152.27 kg\n Factor of Safety: 0.28\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.26698026528808, "fos_buckling": 0.27637057978658175, "fos_yielding": 1.5870717744004512, "deflection": 0.010644872462492785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_809", "improvement_over_parent": null }, "node_811": { "node_id": "node_811", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 166.14 kg\n Factor of Safety: 0.30\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.13733813624594, "fos_buckling": 0.3006108817322073, "fos_yielding": 2.522727071457946, "deflection": 0.0047335980363367525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_810", "improvement_over_parent": null }, "node_812": { "node_id": "node_812", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 200.00 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.9952290646098, "fos_buckling": 0.9073629937577641, "fos_yielding": 6.167092820224685, "deflection": 0.0017250014954328478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_811", "improvement_over_parent": null }, "node_813": { "node_id": "node_813", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14660411153164, "fos_buckling": 1.552040271778458, "fos_yielding": 6.319029692284092, "deflection": 0.0014900643477603903, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_812", "improvement_over_parent": null }, "node_814": { "node_id": "node_814", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_813", "improvement_over_parent": null }, "node_815": { "node_id": "node_815", "content": "INITIAL DESIGN (Trace 117)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 104.90 kg\n Factor of Safety: 0.19\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.90366731308106, "fos_buckling": 0.19337317170770038, "fos_yielding": 1.512430630998514, "deflection": 0.007507765773387247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_816": { "node_id": "node_816", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 116.89 kg\n Factor of Safety: 0.19\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.88810654290342, "fos_buckling": 0.19298633292628017, "fos_yielding": 1.5094050467506517, "deflection": 0.007447356922793534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002737)" }, "parent_node_id": "node_815", "improvement_over_parent": null }, "node_817": { "node_id": "node_817", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 120.08 kg\n Factor of Safety: 0.19\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.07714207219904, "fos_buckling": 0.19295209529815596, "fos_yielding": 1.509137263805114, "deflection": 0.006900449401776091, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001887)" }, "parent_node_id": "node_816", "improvement_over_parent": null }, "node_818": { "node_id": "node_818", "content": "MODIFICATION: Increase 10 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 128.58 kg\n Factor of Safety: 0.19\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.57579177771703, "fos_buckling": 0.19267880583432184, "fos_yielding": 1.5069997834474114, "deflection": 0.006809849262725665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.582)" }, "parent_node_id": "node_817", "improvement_over_parent": null }, "node_819": { "node_id": "node_819", "content": "MODIFICATION: Increase 14 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0031)]\n\nPerformance:\n Mass: 130.34 kg\n Factor of Safety: 0.19\n Max Deflection: 6.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.34177468453487, "fos_buckling": 0.19265990504055358, "fos_yielding": 1.5068519545671544, "deflection": 0.00679153709469609, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.621)" }, "parent_node_id": "node_818", "improvement_over_parent": null }, "node_820": { "node_id": "node_820", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0031)]\n\nPerformance:\n Mass: 131.01 kg\n Factor of Safety: 0.24\n Max Deflection: 6.59e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.00636444527237, "fos_buckling": 0.2415430931149472, "fos_yielding": 1.6717067637797371, "deflection": 0.006587750314849298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.312)" }, "parent_node_id": "node_819", "improvement_over_parent": null }, "node_821": { "node_id": "node_821", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0031)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n\nPerformance:\n Mass: 157.02 kg\n Factor of Safety: 1.00\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.02205205852485, "fos_buckling": 1.0037432107734283, "fos_yielding": 4.73279024343791, "deflection": 0.001945547441813411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004032)" }, "parent_node_id": "node_820", "improvement_over_parent": null }, "node_822": { "node_id": "node_822", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0067)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0041)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.27\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.14738250110955, "fos_buckling": 1.2657832695022262, "fos_yielding": 6.137144049465638, "deflection": 0.0015029541556781031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_821", "improvement_over_parent": null }, "node_823": { "node_id": "node_823", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_822", "improvement_over_parent": null }, "node_824": { "node_id": "node_824", "content": "INITIAL DESIGN (Trace 118)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 147.81 kg\n Factor of Safety: 0.87\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.81030269865136, "fos_buckling": 0.8661798736514785, "fos_yielding": 4.3191331830588044, "deflection": 0.0020630371434251916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_825": { "node_id": "node_825", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 181.83 kg\n Factor of Safety: 1.03\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.83284634005747, "fos_buckling": 1.0295208191058884, "fos_yielding": 5.291609273005272, "deflection": 0.0016829156502763066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_824", "improvement_over_parent": null }, "node_826": { "node_id": "node_826", "content": "MODIFICATION: Increase 13 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 185.80 kg\n Factor of Safety: 1.03\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.79855724607893, "fos_buckling": 1.0299794958698825, "fos_yielding": 5.290448814953296, "deflection": 0.0016566916852531522, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.319)" }, "parent_node_id": "node_825", "improvement_over_parent": null }, "node_827": { "node_id": "node_827", "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.27 kg\n Factor of Safety: 1.03\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.2710620421642, "fos_buckling": 1.0303203821794509, "fos_yielding": 5.2895873668202675, "deflection": 0.0016350650249151377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.311)" }, "parent_node_id": "node_826", "improvement_over_parent": null }, "node_828": { "node_id": "node_828", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 202.87 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.865882112558, "fos_buckling": 1.550869824064402, "fos_yielding": 6.314647245929328, "deflection": 0.0014925856494639336, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_827", "improvement_over_parent": null }, "node_829": { "node_id": "node_829", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16513898856468, "fos_buckling": 1.5520035392794371, "fos_yielding": 6.319263372666218, "deflection": 0.0014900395377230255, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.217)" }, "parent_node_id": "node_828", "improvement_over_parent": null }, "node_830": { "node_id": "node_830", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_829", "improvement_over_parent": null }, "node_831": { "node_id": "node_831", "content": "INITIAL DESIGN (Trace 119)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 81.92 kg\n Factor of Safety: 0.13\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.9208654022333, "fos_buckling": 0.13368075114416636, "fos_yielding": 1.0118891235672598, "deflection": 0.011871477018582823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_832": { "node_id": "node_832", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 99.72 kg\n Factor of Safety: 0.16\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.71620473630435, "fos_buckling": 0.16045990324562182, "fos_yielding": 1.2320969497381715, "deflection": 0.009770347023915734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_831", "improvement_over_parent": null }, "node_833": { "node_id": "node_833", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 127.61 kg\n Factor of Safety: 0.20\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.61223160323198, "fos_buckling": 0.20081833994456919, "fos_yielding": 1.5778659694191055, "deflection": 0.007655665522114276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_832", "improvement_over_parent": null }, "node_834": { "node_id": "node_834", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 160.21 kg\n Factor of Safety: 0.25\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.20827180086104, "fos_buckling": 0.24546932878268038, "fos_yielding": 1.9831078617660165, "deflection": 0.006117336316998291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_833", "improvement_over_parent": null }, "node_835": { "node_id": "node_835", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 161.03 kg\n Factor of Safety: 0.30\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.02734892058965, "fos_buckling": 0.3007186509770957, "fos_yielding": 2.523108875773692, "deflection": 0.005970669122178023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.299)" }, "parent_node_id": "node_834", "improvement_over_parent": null }, "node_836": { "node_id": "node_836", "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 162.85 kg\n Factor of Safety: 0.30\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.85430421358353, "fos_buckling": 0.30062731679211624, "fos_yielding": 2.5223425578481677, "deflection": 0.005801140713606866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.323)" }, "parent_node_id": "node_835", "improvement_over_parent": null }, "node_837": { "node_id": "node_837", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 170.15 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.1498302667865, "fos_buckling": 0.3002631471676702, "fos_yielding": 2.5192870785530146, "deflection": 0.004431854803140195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_836", "improvement_over_parent": null }, "node_838": { "node_id": "node_838", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00772119515034, "fos_buckling": 1.5518260504416912, "fos_yielding": 6.312895954457104, "deflection": 0.0014907981686988828, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_837", "improvement_over_parent": null }, "node_839": { "node_id": "node_839", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_838", "improvement_over_parent": null }, "node_840": { "node_id": "node_840", "content": "INITIAL DESIGN (Trace 120)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 136.80 kg\n Factor of Safety: 0.79\n Max Deflection: 2.17e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.80400297642683, "fos_buckling": 0.7873448042843353, "fos_yielding": 3.975943473904292, "deflection": 217493394304.77594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_841": { "node_id": "node_841", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 140.22 kg\n Factor of Safety: 0.79\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.22358384475098, "fos_buckling": 0.7893096136471602, "fos_yielding": 3.9717146738702573, "deflection": 0.002491533363263179, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002034)" }, "parent_node_id": "node_840", "improvement_over_parent": null }, "node_842": { "node_id": "node_842", "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0049)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 146.21 kg\n Factor of Safety: 0.79\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.20788571127676, "fos_buckling": 0.7882637749474428, "fos_yielding": 3.9664399295416666, "deflection": 0.0023839926358855536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.592)" }, "parent_node_id": "node_841", "improvement_over_parent": null }, "node_843": { "node_id": "node_843", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0049)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 163.71 kg\n Factor of Safety: 0.95\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.71018806586642, "fos_buckling": 0.9458951776439439, "fos_yielding": 5.0997253800582705, "deflection": 0.0018277385449556429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003442)" }, "parent_node_id": "node_842", "improvement_over_parent": null }, "node_844": { "node_id": "node_844", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0049)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 170.19 kg\n Factor of Safety: 0.92\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.19104283295303, "fos_buckling": 0.9164532965235336, "fos_yielding": 5.125788050453626, "deflection": 0.001796225330358759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002301)" }, "parent_node_id": "node_843", "improvement_over_parent": null }, "node_845": { "node_id": "node_845", "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0059)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 173.49 kg\n Factor of Safety: 0.89\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.48743684302468, "fos_buckling": 0.8893465992134179, "fos_yielding": 5.151401163242623, "deflection": 0.0017860466886212816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.222)" }, "parent_node_id": "node_844", "improvement_over_parent": null }, "node_846": { "node_id": "node_846", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0073)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 210.19 kg\n Factor of Safety: 1.06\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.18816247298548, "fos_buckling": 1.0625392987766384, "fos_yielding": 6.227262958578864, "deflection": 0.0014786108144867493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_845", "improvement_over_parent": null }, "node_847": { "node_id": "node_847", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_846", "improvement_over_parent": null }, "node_848": { "node_id": "node_848", "content": "INITIAL DESIGN (Trace 121)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n\nPerformance:\n Mass: 109.77 kg\n Factor of Safety: 0.45\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.76523519865304, "fos_buckling": 0.45307482655915077, "fos_yielding": 3.2737341235250903, "deflection": 0.003229793397679436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_849": { "node_id": "node_849", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 131.61 kg\n Factor of Safety: 0.53\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.61372534884836, "fos_buckling": 0.5300021316415883, "fos_yielding": 3.9082030504124936, "deflection": 0.0027064660993303207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_848", "improvement_over_parent": null }, "node_850": { "node_id": "node_850", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 146.25 kg\n Factor of Safety: 1.18\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.25059737784366, "fos_buckling": 1.1823277643708856, "fos_yielding": 4.583241848304646, "deflection": 0.0020702590048937487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002916)" }, "parent_node_id": "node_849", "improvement_over_parent": null }, "node_851": { "node_id": "node_851", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 147.13 kg\n Factor of Safety: 1.18\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.12557872425796, "fos_buckling": 1.181758840287594, "fos_yielding": 4.5810364389878595, "deflection": 0.0020540952358634058, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.362)" }, "parent_node_id": "node_850", "improvement_over_parent": null }, "node_852": { "node_id": "node_852", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 185.31 kg\n Factor of Safety: 1.44\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.31220860465996, "fos_buckling": 1.4350224552690944, "fos_yielding": 5.747345596833382, "deflection": 0.0016379871439360203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_851", "improvement_over_parent": null }, "node_853": { "node_id": "node_853", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03022596343163, "fos_buckling": 1.551286781725712, "fos_yielding": 6.315691971245379, "deflection": 0.001490908928536854, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_852", "improvement_over_parent": null }, "node_854": { "node_id": "node_854", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_853", "improvement_over_parent": null }, "node_855": { "node_id": "node_855", "content": "INITIAL DESIGN (Trace 122)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 160.32 kg\n Factor of Safety: 0.51\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.31767538098347, "fos_buckling": 0.507664975548243, "fos_yielding": 3.514779714244813, "deflection": 0.004535103968812524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_856": { "node_id": "node_856", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 180.63 kg\n Factor of Safety: 0.51\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.62786260438642, "fos_buckling": 0.5070947315729256, "fos_yielding": 3.5069302880813997, "deflection": 0.004447191695087552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_855", "improvement_over_parent": null }, "node_857": { "node_id": "node_857", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 187.92 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.92338865758938, "fos_buckling": 1.2860640443186118, "fos_yielding": 5.23655264371719, "deflection": 0.0016157719279925892, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_856", "improvement_over_parent": null }, "node_858": { "node_id": "node_858", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16873489858648, "fos_buckling": 1.5521371291796773, "fos_yielding": 6.319940148489084, "deflection": 0.001489901824459391, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_857", "improvement_over_parent": null }, "node_859": { "node_id": "node_859", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_858", "improvement_over_parent": null }, "node_860": { "node_id": "node_860", "content": "INITIAL DESIGN (Trace 123)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 153.74 kg\n Factor of Safety: 0.70\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.7430074753405, "fos_buckling": 0.6963849212763777, "fos_yielding": 5.258567879223137, "deflection": 0.002111744353379867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_861": { "node_id": "node_861", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 167.61 kg\n Factor of Safety: 0.69\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.61336534629837, "fos_buckling": 0.6942812595928711, "fos_yielding": 5.242433702208813, "deflection": 0.0021193783217328395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_860", "improvement_over_parent": null }, "node_862": { "node_id": "node_862", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.85871158729543, "fos_buckling": 0.6930552166425232, "fos_yielding": 5.368034901445551, "deflection": 0.001972020838555631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_861", "improvement_over_parent": null }, "node_863": { "node_id": "node_863", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16889881069838, "fos_buckling": 1.552146356784608, "fos_yielding": 6.319977721142806, "deflection": 0.0014899129423858477, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_862", "improvement_over_parent": null }, "node_864": { "node_id": "node_864", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_863", "improvement_over_parent": null }, "node_865": { "node_id": "node_865", "content": "INITIAL DESIGN (Trace 124)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 124.95 kg\n Factor of Safety: 0.46\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.94568857640708, "fos_buckling": 0.46211895805495845, "fos_yielding": 3.3473088697436757, "deflection": 0.0033981256572388364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_866": { "node_id": "node_866", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 139.37 kg\n Factor of Safety: 0.51\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.3698679369329, "fos_buckling": 0.5084348134617108, "fos_yielding": 3.7279766125118416, "deflection": 0.003055734463291951, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_865", "improvement_over_parent": null }, "node_867": { "node_id": "node_867", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 173.18 kg\n Factor of Safety: 0.61\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.1788354436057, "fos_buckling": 0.6114138918927474, "fos_yielding": 4.616416913261546, "deflection": 0.0024766939798745516, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_866", "improvement_over_parent": null }, "node_868": { "node_id": "node_868", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 187.34 kg\n Factor of Safety: 1.10\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.33912904139822, "fos_buckling": 1.1027758364778046, "fos_yielding": 4.54754609399681, "deflection": 0.001628528348239725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002815)" }, "parent_node_id": "node_867", "improvement_over_parent": null }, "node_869": { "node_id": "node_869", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 187.94 kg\n Factor of Safety: 1.24\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.93794696639964, "fos_buckling": 1.2390795600904907, "fos_yielding": 4.55004193501462, "deflection": 0.0016219583946395807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.185)" }, "parent_node_id": "node_868", "improvement_over_parent": null }, "node_870": { "node_id": "node_870", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 190.27 kg\n Factor of Safety: 1.25\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.2675394530801, "fos_buckling": 1.2465735267957507, "fos_yielding": 6.272689284051697, "deflection": 0.0015490170294213432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.453)" }, "parent_node_id": "node_869", "improvement_over_parent": null }, "node_871": { "node_id": "node_871", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 198.13 kg\n Factor of Safety: 1.27\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.1334156414936, "fos_buckling": 1.2720179986879057, "fos_yielding": 6.332388374112262, "deflection": 0.0015229261287005638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_870", "improvement_over_parent": null }, "node_872": { "node_id": "node_872", "content": "MODIFICATION: Increase 15 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0042)]\n\nPerformance:\n Mass: 201.38 kg\n Factor of Safety: 1.25\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.38167646991525, "fos_buckling": 1.2457992281316048, "fos_yielding": 6.281152476903536, "deflection": 0.001520059956171555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.477)" }, "parent_node_id": "node_871", "improvement_over_parent": null }, "node_873": { "node_id": "node_873", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_872", "improvement_over_parent": null }, "node_874": { "node_id": "node_874", "content": "INITIAL DESIGN (Trace 125)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 97.27 kg\n Factor of Safety: 0.58\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.26723698024452, "fos_buckling": 0.5823827490047405, "fos_yielding": 2.6992328416507134, "deflection": 0.00347531536188168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_875": { "node_id": "node_875", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 119.47 kg\n Factor of Safety: 0.70\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.4743846202378, "fos_buckling": 0.701987210814951, "fos_yielding": 3.310130303357507, "deflection": 0.0028346116511640223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_874", "improvement_over_parent": null }, "node_876": { "node_id": "node_876", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 139.74 kg\n Factor of Safety: 0.81\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.74065757623208, "fos_buckling": 0.806785638215195, "fos_yielding": 3.8659128959222504, "deflection": 0.0024276231456563315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_875", "improvement_over_parent": null }, "node_877": { "node_id": "node_877", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 172.16 kg\n Factor of Safety: 0.97\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.15848135037606, "fos_buckling": 0.9657644410763758, "fos_yielding": 4.751539220839336, "deflection": 0.0019758311915066586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_876", "improvement_over_parent": null }, "node_878": { "node_id": "node_878", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.33 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.330032423951, "fos_buckling": 1.0502094183155841, "fos_yielding": 5.246148972511878, "deflection": 0.0017898957859425072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_877", "improvement_over_parent": null }, "node_879": { "node_id": "node_879", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20039029490886, "fos_buckling": 1.552332666883459, "fos_yielding": 6.320916472153717, "deflection": 0.0014896910352898242, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_878", "improvement_over_parent": null }, "node_880": { "node_id": "node_880", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_879", "improvement_over_parent": null }, "node_881": { "node_id": "node_881", "content": "INITIAL DESIGN (Trace 126)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.14 kg\n Factor of Safety: 0.92\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.1376896958742, "fos_buckling": 0.915154810575949, "fos_yielding": 4.722530254322496, "deflection": 0.002157539557443066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_882": { "node_id": "node_882", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 170.97 kg\n Factor of Safety: 0.91\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.96856037970764, "fos_buckling": 0.9147719937730142, "fos_yielding": 4.720528802842271, "deflection": 0.001972734479681844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_881", "improvement_over_parent": null }, "node_883": { "node_id": "node_883", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.57716614969644, "fos_buckling": 1.0307165076260687, "fos_yielding": 5.289439448169288, "deflection": 0.001621100760477819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_882", "improvement_over_parent": null }, "node_884": { "node_id": "node_884", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0026)]\n\nPerformance:\n Mass: 200.15 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.15192547659584, "fos_buckling": 1.5119865724336823, "fos_yielding": 6.256835227723694, "deflection": 0.0015018852734855273, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002637)" }, "parent_node_id": "node_883", "improvement_over_parent": null }, "node_885": { "node_id": "node_885", "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0057)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0026)]\n\nPerformance:\n Mass: 206.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.91885739590302, "fos_buckling": 1.5300295086075342, "fos_yielding": 6.280647506365791, "deflection": 0.0014802750520825755, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.381)" }, "parent_node_id": "node_884", "improvement_over_parent": null }, "node_886": { "node_id": "node_886", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_885", "improvement_over_parent": null }, "node_887": { "node_id": "node_887", "content": "INITIAL DESIGN (Trace 127)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 115.57 kg\n Factor of Safety: 0.37\n Max Deflection: 3.54e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.56871369064763, "fos_buckling": 0.3668766266941986, "fos_yielding": 1.55232743372596, "deflection": 3541502641073.9727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_888": { "node_id": "node_888", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 127.57 kg\n Factor of Safety: 0.88\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.56541028747627, "fos_buckling": 0.8781496796970049, "fos_yielding": 3.7156246528824757, "deflection": 0.002602839582100575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002740)" }, "parent_node_id": "node_887", "improvement_over_parent": null }, "node_889": { "node_id": "node_889", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n\nPerformance:\n Mass: 143.91 kg\n Factor of Safety: 1.04\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.91040187047236, "fos_buckling": 1.0354140782253096, "fos_yielding": 4.047567641807629, "deflection": 0.0020895182793643618, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003198)" }, "parent_node_id": "node_888", "improvement_over_parent": null }, "node_890": { "node_id": "node_890", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 156.41 kg\n Factor of Safety: 1.16\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.40990171420677, "fos_buckling": 1.158017267531366, "fos_yielding": 4.850842453360624, "deflection": 0.0019319181844871657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002797)" }, "parent_node_id": "node_889", "improvement_over_parent": null }, "node_891": { "node_id": "node_891", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 203.45 kg\n Factor of Safety: 1.46\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.4498407751995, "fos_buckling": 1.4573228765930282, "fos_yielding": 6.27976838290503, "deflection": 0.0014932880585723368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_890", "improvement_over_parent": null }, "node_892": { "node_id": "node_892", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2825742591412, "fos_buckling": 1.5528180673918124, "fos_yielding": 6.3233557336629085, "deflection": 0.0014891083230126293, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.305)" }, "parent_node_id": "node_891", "improvement_over_parent": null }, "node_893": { "node_id": "node_893", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_892", "improvement_over_parent": null }, "node_894": { "node_id": "node_894", "content": "INITIAL DESIGN (Trace 128)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 129.80 kg\n Factor of Safety: 1.02\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.79554018495412, "fos_buckling": 1.0191601867576627, "fos_yielding": 4.078786249906581, "deflection": 0.0022882412452507176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_895": { "node_id": "node_895", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 159.67 kg\n Factor of Safety: 1.22\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.67086749437274, "fos_buckling": 1.222789483525452, "fos_yielding": 5.001194432934023, "deflection": 0.0018666131669297277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_894", "improvement_over_parent": null }, "node_896": { "node_id": "node_896", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.43 kg\n Factor of Safety: 1.47\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.42992022216373, "fos_buckling": 1.4697353550259922, "fos_yielding": 6.188959248909849, "deflection": 0.0015088317748267657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_895", "improvement_over_parent": null }, "node_897": { "node_id": "node_897", "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18619734129382, "fos_buckling": 1.5523265109651099, "fos_yielding": 6.320867651354276, "deflection": 0.0014897418597793264, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.642)" }, "parent_node_id": "node_896", "improvement_over_parent": null }, "node_898": { "node_id": "node_898", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_897", "improvement_over_parent": null }, "node_899": { "node_id": "node_899", "content": "INITIAL DESIGN (Trace 129)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 183.23 kg\n Factor of Safety: 1.04\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.2301879404509, "fos_buckling": 1.0438944783529112, "fos_yielding": 3.2823634718560792, "deflection": 0.002099608177916158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_900": { "node_id": "node_900", "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.14 kg\n Factor of Safety: 1.01\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.13680330610526, "fos_buckling": 1.0053627137938341, "fos_yielding": 3.3448447978364286, "deflection": 0.0019523766389993808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.621)" }, "parent_node_id": "node_899", "improvement_over_parent": null }, "node_901": { "node_id": "node_901", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 189.13 kg\n Factor of Safety: 1.05\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.13474900918789, "fos_buckling": 1.0476747623482272, "fos_yielding": 5.25236358219067, "deflection": 0.0017984523062346386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.661)" }, "parent_node_id": "node_900", "improvement_over_parent": null }, "node_902": { "node_id": "node_902", "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.29 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.2936592850537, "fos_buckling": 1.0501229612537608, "fos_yielding": 5.246434111405058, "deflection": 0.0017902714904309489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.351)" }, "parent_node_id": "node_901", "improvement_over_parent": null }, "node_903": { "node_id": "node_903", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16401715601157, "fos_buckling": 1.5521228834670473, "fos_yielding": 6.321357655313609, "deflection": 0.0014899899299638426, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_902", "improvement_over_parent": null }, "node_904": { "node_id": "node_904", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_903", "improvement_over_parent": null }, "node_905": { "node_id": "node_905", "content": "INITIAL DESIGN (Trace 130)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 111.05 kg\n Factor of Safety: 0.62\n Max Deflection: 3.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.04580114302797, "fos_buckling": 0.621583891133612, "fos_yielding": 2.807902889102628, "deflection": 0.003176812391209457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_906": { "node_id": "node_906", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 114.95 kg\n Factor of Safety: 0.60\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.95228554762701, "fos_buckling": 0.6015238366910535, "fos_yielding": 2.873823581030157, "deflection": 0.003157942254353819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.642)" }, "parent_node_id": "node_905", "improvement_over_parent": null }, "node_907": { "node_id": "node_907", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 138.70 kg\n Factor of Safety: 0.71\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.69901327043573, "fos_buckling": 0.7104935544756603, "fos_yielding": 3.470568186680043, "deflection": 0.002621376616723611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_906", "improvement_over_parent": null }, "node_908": { "node_id": "node_908", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 180.82 kg\n Factor of Safety: 0.89\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.82031352908763, "fos_buckling": 0.890828570257987, "fos_yielding": 4.533380228446932, "deflection": 0.002016246548812489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_907", "improvement_over_parent": null }, "node_909": { "node_id": "node_909", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 202.07 kg\n Factor of Safety: 1.57\n Max Deflection: 1.55e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.06870503600425, "fos_buckling": 1.5679604076993396, "fos_yielding": 4.80455446428406, "deflection": 0.0015501882505329692, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_908", "improvement_over_parent": null }, "node_910": { "node_id": "node_910", "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10173063845104, "fos_buckling": 1.55166059721498, "fos_yielding": 6.318759156695311, "deflection": 0.0014904206135270806, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.376)" }, "parent_node_id": "node_909", "improvement_over_parent": null }, "node_911": { "node_id": "node_911", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_910", "improvement_over_parent": null }, "node_912": { "node_id": "node_912", "content": "INITIAL DESIGN (Trace 131)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0008)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n\nPerformance:\n Mass: 72.45 kg\n Factor of Safety: 0.21\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 72.4462384033274, "fos_buckling": 0.21261814183886088, "fos_yielding": 1.754239005805489, "deflection": 0.005381216704442169, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_913": { "node_id": "node_913", "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n\nPerformance:\n Mass: 74.02 kg\n Factor of Safety: 0.32\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 74.02413147819354, "fos_buckling": 0.31586489028391634, "fos_yielding": 2.208592447117472, "deflection": 0.004783506773498598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.558)" }, "parent_node_id": "node_912", "improvement_over_parent": null }, "node_914": { "node_id": "node_914", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 82.20 kg\n Factor of Safety: 0.70\n Max Deflection: 3.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.2005581700595, "fos_buckling": 0.7010020834988072, "fos_yielding": 2.5767300363162655, "deflection": 0.003649052845672551, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001584)" }, "parent_node_id": "node_913", "improvement_over_parent": null }, "node_915": { "node_id": "node_915", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 101.75 kg\n Factor of Safety: 0.85\n Max Deflection: 2.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.7516678773645, "fos_buckling": 0.8524708079721677, "fos_yielding": 3.1831151194303517, "deflection": 0.002954591309972924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_914", "improvement_over_parent": null }, "node_916": { "node_id": "node_916", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 130.54 kg\n Factor of Safety: 1.07\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.54410631044206, "fos_buckling": 1.0650008050926953, "fos_yielding": 4.07165026862642, "deflection": 0.0023106107809561164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_915", "improvement_over_parent": null }, "node_917": { "node_id": "node_917", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 153.75 kg\n Factor of Safety: 1.23\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.7450711711848, "fos_buckling": 1.2271957350517457, "fos_yielding": 4.783784467484752, "deflection": 0.0019671788401085313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_916", "improvement_over_parent": null }, "node_918": { "node_id": "node_918", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 181.11 kg\n Factor of Safety: 1.41\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.10704943477342, "fos_buckling": 1.4081717144914676, "fos_yielding": 5.619260392609627, "deflection": 0.00167523180932793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_917", "improvement_over_parent": null }, "node_919": { "node_id": "node_919", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18231258231626, "fos_buckling": 1.5521889044721016, "fos_yielding": 6.32019068324203, "deflection": 0.0014898417954674213, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.140)" }, "parent_node_id": "node_918", "improvement_over_parent": null }, "node_920": { "node_id": "node_920", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_919", "improvement_over_parent": null }, "node_921": { "node_id": "node_921", "content": "INITIAL DESIGN (Trace 132)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 127.00 kg\n Factor of Safety: 0.05\n Max Deflection: 2.70e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.99825927381627, "fos_buckling": 0.049209107986964255, "fos_yielding": 0.45980596468983026, "deflection": 27013661474937.035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_922": { "node_id": "node_922", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 158.93 kg\n Factor of Safety: 0.17\n Max Deflection: 7.85e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.92544646277267, "fos_buckling": 0.17317887763841003, "fos_yielding": 2.2990298234491515, "deflection": 7854815625799.315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_921", "improvement_over_parent": null }, "node_923": { "node_id": "node_923", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 166.22 kg\n Factor of Safety: 1.19\n Max Deflection: 1.52e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.22097251597563, "fos_buckling": 1.1885565273602492, "fos_yielding": 6.209309734903839, "deflection": 1519382573721.5925, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_922", "improvement_over_parent": null }, "node_924": { "node_id": "node_924", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 183.83 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.82957828596443, "fos_buckling": 0.6929478202174421, "fos_yielding": 5.367013780963801, "deflection": 0.001972192308847794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_923", "improvement_over_parent": null }, "node_925": { "node_id": "node_925", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13976550936738, "fos_buckling": 1.5518952427653758, "fos_yielding": 6.318732392769742, "deflection": 0.0014901281220954404, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_924", "improvement_over_parent": null }, "node_926": { "node_id": "node_926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_925", "improvement_over_parent": null }, "node_927": { "node_id": "node_927", "content": "INITIAL DESIGN (Trace 133)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 139.57 kg\n Factor of Safety: 0.38\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.56703786338463, "fos_buckling": 0.3799764293182934, "fos_yielding": 2.501013655237052, "deflection": 0.005664555846256813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_928": { "node_id": "node_928", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 154.01 kg\n Factor of Safety: 0.41\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.0098276718839, "fos_buckling": 0.4133930214903871, "fos_yielding": 2.754416477153947, "deflection": 0.005145797514719314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_927", "improvement_over_parent": null }, "node_929": { "node_id": "node_929", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 159.72 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.7175522161997, "fos_buckling": 1.2676654357840798, "fos_yielding": 4.966637042362759, "deflection": 0.0018948678872034175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002551)" }, "parent_node_id": "node_928", "improvement_over_parent": null }, "node_930": { "node_id": "node_930", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09682209825817, "fos_buckling": 1.551689400061299, "fos_yielding": 6.31770365558056, "deflection": 0.0014904119194738507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_929", "improvement_over_parent": null }, "node_931": { "node_id": "node_931", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_930", "improvement_over_parent": null }, "node_932": { "node_id": "node_932", "content": "INITIAL DESIGN (Trace 134)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.22 kg\n Factor of Safety: 0.88\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.21834256750157, "fos_buckling": 0.8844777251406754, "fos_yielding": 4.485591336898746, "deflection": 0.0022384179911837726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_933": { "node_id": "node_933", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 191.09 kg\n Factor of Safety: 0.91\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.08870043845943, "fos_buckling": 0.9091247967713935, "fos_yielding": 4.471849188548649, "deflection": 0.0018942132832538002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_932", "improvement_over_parent": null }, "node_934": { "node_id": "node_934", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 194.92 kg\n Factor of Safety: 0.91\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.91957112229287, "fos_buckling": 0.9087470071158738, "fos_yielding": 5.38568554156959, "deflection": 0.0017693249799577238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_933", "improvement_over_parent": null }, "node_935": { "node_id": "node_935", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 199.07 kg\n Factor of Safety: 1.40\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.07094616921472, "fos_buckling": 1.4007698988998434, "fos_yielding": 5.442244082923716, "deflection": 0.0015413995986188445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_934", "improvement_over_parent": null }, "node_936": { "node_id": "node_936", "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 200.24 kg\n Factor of Safety: 1.41\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.235869776041, "fos_buckling": 1.4065779097837046, "fos_yielding": 6.3078080579298685, "deflection": 0.0015111092377108526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.188)" }, "parent_node_id": "node_935", "improvement_over_parent": null }, "node_937": { "node_id": "node_937", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0047)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.31 kg\n Factor of Safety: 1.45\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.30935801171006, "fos_buckling": 1.446615160576603, "fos_yielding": 6.376528323992397, "deflection": 0.001494791430133923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.250)" }, "parent_node_id": "node_936", "improvement_over_parent": null }, "node_938": { "node_id": "node_938", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_937", "improvement_over_parent": null }, "node_939": { "node_id": "node_939", "content": "INITIAL DESIGN (Trace 135)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 160.98 kg\n Factor of Safety: 1.13\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.97661890279113, "fos_buckling": 1.133425062022802, "fos_yielding": 4.4987171827425465, "deflection": 0.0018802822642709999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_940": { "node_id": "node_940", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n\nPerformance:\n Mass: 170.42 kg\n Factor of Safety: 1.33\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.4183669772167, "fos_buckling": 1.3338871265563657, "fos_yielding": 5.294378196798227, "deflection": 0.0017514338207726022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002077)" }, "parent_node_id": "node_939", "improvement_over_parent": null }, "node_941": { "node_id": "node_941", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 198.87 kg\n Factor of Safety: 1.51\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.86627678984203, "fos_buckling": 1.5131572368067967, "fos_yielding": 6.16047476143511, "deflection": 0.0015060148921511242, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_940", "improvement_over_parent": null }, "node_942": { "node_id": "node_942", "content": "MODIFICATION: Increase 11 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0055)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 205.74 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.73626535662245, "fos_buckling": 1.5072025487383596, "fos_yielding": 6.136231606351482, "deflection": 0.0014932176952282732, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.511)" }, "parent_node_id": "node_941", "improvement_over_parent": null }, "node_943": { "node_id": "node_943", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_942", "improvement_over_parent": null }, "node_944": { "node_id": "node_944", "content": "INITIAL DESIGN (Trace 136)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0009)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 76.64 kg\n Factor of Safety: 0.24\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.63717878611094, "fos_buckling": 0.24117544664646542, "fos_yielding": 0.9346268269428949, "deflection": 0.012960415716797414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_945": { "node_id": "node_945", "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 77.95 kg\n Factor of Safety: 0.24\n Max Deflection: 1.21e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 77.95193174991631, "fos_buckling": 0.2411222265697555, "fos_yielding": 1.5162920678331753, "deflection": 0.012128145311243545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.645)" }, "parent_node_id": "node_944", "improvement_over_parent": null }, "node_946": { "node_id": "node_946", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n\nPerformance:\n Mass: 83.86 kg\n Factor of Safety: 0.24\n Max Deflection: 9.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 83.85812259558077, "fos_buckling": 0.24080394751396875, "fos_yielding": 1.5142956829587457, "deflection": 0.009339280184307982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.001524)" }, "parent_node_id": "node_945", "improvement_over_parent": null }, "node_947": { "node_id": "node_947", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n\nPerformance:\n Mass: 107.24 kg\n Factor of Safety: 0.30\n Max Deflection: 7.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.24232392984231, "fos_buckling": 0.3012231143842415, "fos_yielding": 1.9303776280440956, "deflection": 0.007331808661162403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_946", "improvement_over_parent": null }, "node_948": { "node_id": "node_948", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n\nPerformance:\n Mass: 137.91 kg\n Factor of Safety: 0.38\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.91042705412033, "fos_buckling": 0.3760786404819072, "fos_yielding": 2.4720517084108002, "deflection": 0.00573091759311598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_947", "improvement_over_parent": null }, "node_949": { "node_id": "node_949", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 161.99 kg\n Factor of Safety: 0.43\n Max Deflection: 4.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.9851791037778, "fos_buckling": 0.43138474633383783, "fos_yielding": 2.8941146587820548, "deflection": 0.0048989094033276654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_948", "improvement_over_parent": null }, "node_950": { "node_id": "node_950", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 167.99 kg\n Factor of Safety: 1.32\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.98567875558595, "fos_buckling": 1.3228141503621689, "fos_yielding": 5.2194046693495215, "deflection": 0.001803349240907655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002692)" }, "parent_node_id": "node_949", "improvement_over_parent": null }, "node_951": { "node_id": "node_951", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08936401706995, "fos_buckling": 1.551670070323147, "fos_yielding": 6.317617997431013, "deflection": 0.001490491034590175, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_950", "improvement_over_parent": null }, "node_952": { "node_id": "node_952", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_951", "improvement_over_parent": null }, "node_953": { "node_id": "node_953", "content": "INITIAL DESIGN (Trace 137)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 117.29 kg\n Factor of Safety: 0.97\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.29308246731928, "fos_buckling": 0.9687669944303993, "fos_yielding": 3.663488661090867, "deflection": 0.0025676787635607015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_954": { "node_id": "node_954", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 140.38 kg\n Factor of Safety: 1.13\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.37824084712406, "fos_buckling": 1.1347617117739408, "fos_yielding": 4.374042964765149, "deflection": 0.0021511484749538374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.209)" }, "parent_node_id": "node_953", "improvement_over_parent": null }, "node_955": { "node_id": "node_955", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 156.76 kg\n Factor of Safety: 1.25\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.76299164622128, "fos_buckling": 1.2477326980609618, "fos_yielding": 4.876303415404534, "deflection": 0.0019299498484077384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_954", "improvement_over_parent": null }, "node_956": { "node_id": "node_956", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18141963126058, "fos_buckling": 1.5522175164711696, "fos_yielding": 6.320335996828192, "deflection": 0.0014898276085964022, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_955", "improvement_over_parent": null }, "node_957": { "node_id": "node_957", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_956", "improvement_over_parent": null }, "node_958": { "node_id": "node_958", "content": "INITIAL DESIGN (Trace 138)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_959": { "node_id": "node_959", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 144.90 kg\n Factor of Safety: 0.78\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.90302563163752, "fos_buckling": 0.7767804943685624, "fos_yielding": 4.30942618735271, "deflection": 0.0022859324034456207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002023)" }, "parent_node_id": "node_958", "improvement_over_parent": null }, "node_960": { "node_id": "node_960", "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0057)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 155.00 kg\n Factor of Safety: 0.77\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.9950856685026, "fos_buckling": 0.7742121090050691, "fos_yielding": 4.302201297585548, "deflection": 0.0022539675368635744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.658)" }, "parent_node_id": "node_959", "improvement_over_parent": null }, "node_961": { "node_id": "node_961", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0070)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 188.78 kg\n Factor of Safety: 0.91\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.78326647732797, "fos_buckling": 0.9088382038407989, "fos_yielding": 5.23011448483877, "deflection": 0.001855064076420092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_960", "improvement_over_parent": null }, "node_962": { "node_id": "node_962", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0070)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 192.61 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.6141371611614, "fos_buckling": 0.9084607045230897, "fos_yielding": 6.174907942991801, "deflection": 0.0017322198259265937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_961", "improvement_over_parent": null }, "node_963": { "node_id": "node_963", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0070)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 210.22 kg\n Factor of Safety: 1.51\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 210.2227429311502, "fos_buckling": 1.5132975353652252, "fos_yielding": 5.997164754835396, "deflection": 0.0014659325581718092, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_962", "improvement_over_parent": null }, "node_964": { "node_id": "node_964", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_963", "improvement_over_parent": null }, "node_965": { "node_id": "node_965", "content": "INITIAL DESIGN (Trace 139)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 120.29 kg\n Factor of Safety: 0.29\n Max Deflection: 3.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.2850386776422, "fos_buckling": 0.2919853442889121, "fos_yielding": 3.184366570020067, "deflection": 0.003644005266901842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_966": { "node_id": "node_966", "content": "MODIFICATION: Increase 12 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 122.05 kg\n Factor of Safety: 0.29\n Max Deflection: 3.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.04909890694948, "fos_buckling": 0.2918132575251145, "fos_yielding": 3.729377997885472, "deflection": 0.0035162646236538623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.244)" }, "parent_node_id": "node_965", "improvement_over_parent": null }, "node_967": { "node_id": "node_967", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 137.99 kg\n Factor of Safety: 0.75\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.99112702425592, "fos_buckling": 0.7534706418056039, "fos_yielding": 3.7865266686323364, "deflection": 0.0026255219444835495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003195)" }, "parent_node_id": "node_966", "improvement_over_parent": null }, "node_968": { "node_id": "node_968", "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 139.55 kg\n Factor of Safety: 0.75\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.55238788835672, "fos_buckling": 0.745893317306783, "fos_yielding": 3.7865266686323342, "deflection": 0.0026214571811401396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.256)" }, "parent_node_id": "node_967", "improvement_over_parent": null }, "node_969": { "node_id": "node_969", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.79 kg\n Factor of Safety: 0.92\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.78610494260124, "fos_buckling": 0.9157610334206598, "fos_yielding": 4.803054687383351, "deflection": 0.002062103893529236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_968", "improvement_over_parent": null }, "node_970": { "node_id": "node_970", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 199.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.54e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.03449644951786, "fos_buckling": 1.5537637344226773, "fos_yielding": 5.213865723107923, "deflection": 0.0015400070140680119, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_969", "improvement_over_parent": null }, "node_971": { "node_id": "node_971", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.47 kg\n Factor of Safety: 1.52\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.466749837321, "fos_buckling": 1.5213580444047075, "fos_yielding": 6.27053509712926, "deflection": 0.0015011714940954253, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.238)" }, "parent_node_id": "node_970", "improvement_over_parent": null }, "node_972": { "node_id": "node_972", "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0325278354055, "fos_buckling": 1.5513022781578178, "fos_yielding": 6.315756303555825, "deflection": 0.0014907980500699406, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.326)" }, "parent_node_id": "node_971", "improvement_over_parent": null }, "node_973": { "node_id": "node_973", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_972", "improvement_over_parent": null }, "node_974": { "node_id": "node_974", "content": "INITIAL DESIGN (Trace 140)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0010)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 94.87 kg\n Factor of Safety: 0.49\n Max Deflection: 3.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.87256683490443, "fos_buckling": 0.4940755034037262, "fos_yielding": 2.8303197619726683, "deflection": 0.003552588572326982, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_975": { "node_id": "node_975", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0010)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n\nPerformance:\n Mass: 96.90 kg\n Factor of Safety: 0.63\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.9000499453346, "fos_buckling": 0.6253555270157188, "fos_yielding": 2.6530174919835923, "deflection": 0.0031364831021448644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001170)" }, "parent_node_id": "node_974", "improvement_over_parent": null }, "node_976": { "node_id": "node_976", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n\nPerformance:\n Mass: 112.24 kg\n Factor of Safety: 0.72\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.24353672599628, "fos_buckling": 0.7170782952525103, "fos_yielding": 3.070513010588835, "deflection": 0.002712369602182632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_975", "improvement_over_parent": null }, "node_977": { "node_id": "node_977", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 135.96 kg\n Factor of Safety: 0.86\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.9572678324399, "fos_buckling": 0.8550163283909937, "fos_yielding": 3.7145938696249714, "deflection": 0.00224517697719695, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_976", "improvement_over_parent": null }, "node_978": { "node_id": "node_978", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 136.90 kg\n Factor of Safety: 0.85\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.90264367184906, "fos_buckling": 0.8457797524531355, "fos_yielding": 4.352369257122084, "deflection": 0.0021937981082885047, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.220)" }, "parent_node_id": "node_977", "improvement_over_parent": null }, "node_979": { "node_id": "node_979", "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0059)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 150.68 kg\n Factor of Safety: 0.85\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.6785460283376, "fos_buckling": 0.8513493567865933, "fos_yielding": 4.110555182431491, "deflection": 0.0019510450908020783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.658)" }, "parent_node_id": "node_978", "improvement_over_parent": null }, "node_980": { "node_id": "node_980", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0070)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 175.75 kg\n Factor of Safety: 0.98\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.7514229350882, "fos_buckling": 0.9796298927587143, "fos_yielding": 4.793977400747126, "deflection": 0.0016774239354167596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_979", "improvement_over_parent": null }, "node_981": { "node_id": "node_981", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0089)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 218.90 kg\n Factor of Safety: 1.19\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.89656974472214, "fos_buckling": 1.1917802448695047, "fos_yielding": 5.971806691658937, "deflection": 0.0013533457689569666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_980", "improvement_over_parent": null }, "node_982": { "node_id": "node_982", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_981", "improvement_over_parent": null }, "node_983": { "node_id": "node_983", "content": "INITIAL DESIGN (Trace 141)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_984": { "node_id": "node_984", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 109.61 kg\n Factor of Safety: 0.63\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.61242932691216, "fos_buckling": 0.6323375269665146, "fos_yielding": 3.396770630942123, "deflection": 0.002828265737770736, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001501)" }, "parent_node_id": "node_983", "improvement_over_parent": null }, "node_985": { "node_id": "node_985", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 142.75 kg\n Factor of Safety: 0.79\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.75486936891323, "fos_buckling": 0.7909521535517925, "fos_yielding": 4.407187749960366, "deflection": 0.0021807549966382784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_984", "improvement_over_parent": null }, "node_986": { "node_id": "node_986", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 157.52 kg\n Factor of Safety: 1.11\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.52273581464786, "fos_buckling": 1.11304987609648, "fos_yielding": 4.403580749571124, "deflection": 0.0019207957055730478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003195)" }, "parent_node_id": "node_985", "improvement_over_parent": null }, "node_987": { "node_id": "node_987", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 187.79 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.78809746955386, "fos_buckling": 1.285266069091054, "fos_yielding": 5.232571775071503, "deflection": 0.0016169809687189647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_986", "improvement_over_parent": null }, "node_988": { "node_id": "node_988", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03344371055096, "fos_buckling": 1.5512441945820739, "fos_yielding": 6.315421206563133, "deflection": 0.0014909855843240633, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_987", "improvement_over_parent": null }, "node_989": { "node_id": "node_989", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_988", "improvement_over_parent": null }, "node_990": { "node_id": "node_990", "content": "INITIAL DESIGN (Trace 142)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 120.50 kg\n Factor of Safety: 0.65\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.49994207274125, "fos_buckling": 0.6541303737166794, "fos_yielding": 3.531072961418132, "deflection": 0.0027203502057293683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_991": { "node_id": "node_991", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 122.43 kg\n Factor of Safety: 0.65\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.42906523455733, "fos_buckling": 0.6541303737166794, "fos_yielding": 3.531072961418132, "deflection": 0.0027203502057293683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.368)" }, "parent_node_id": "node_990", "improvement_over_parent": null }, "node_992": { "node_id": "node_992", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 134.23 kg\n Factor of Safety: 0.92\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.22780571232764, "fos_buckling": 0.9182136352319564, "fos_yielding": 3.5287582782958746, "deflection": 0.0023958583611385607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002513)" }, "parent_node_id": "node_991", "improvement_over_parent": null }, "node_993": { "node_id": "node_993", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 1.15\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.05899207882348, "fos_buckling": 1.145452591401485, "fos_yielding": 4.556229153131152, "deflection": 0.0018561864277232673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_992", "improvement_over_parent": null }, "node_994": { "node_id": "node_994", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.36 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.3593178068061, "fos_buckling": 1.284393851133151, "fos_yielding": 5.22983611316654, "deflection": 0.0016174598942177304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_993", "improvement_over_parent": null }, "node_995": { "node_id": "node_995", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19018849063954, "fos_buckling": 1.5522515823208956, "fos_yielding": 6.320507821475185, "deflection": 0.0014897767620964295, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_994", "improvement_over_parent": null }, "node_996": { "node_id": "node_996", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_995", "improvement_over_parent": null }, "node_997": { "node_id": "node_997", "content": "INITIAL DESIGN (Trace 143)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 157.95 kg\n Factor of Safety: 0.46\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.9537626619889, "fos_buckling": 0.4570864220996295, "fos_yielding": 2.0697836962394467, "deflection": 0.0062908101168319625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_998": { "node_id": "node_998", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 162.68 kg\n Factor of Safety: 0.82\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.67909651244108, "fos_buckling": 0.8231387816126793, "fos_yielding": 4.308396357964419, "deflection": 0.0020100353899972076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002086)" }, "parent_node_id": "node_997", "improvement_over_parent": null }, "node_999": { "node_id": "node_999", "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n\nPerformance:\n Mass: 163.95 kg\n Factor of Safety: 0.82\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.94710042042857, "fos_buckling": 0.8229109461737784, "fos_yielding": 4.307810608930225, "deflection": 0.0020102206072856307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.389)" }, "parent_node_id": "node_998", "improvement_over_parent": null }, "node_1000": { "node_id": "node_1000", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 186.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.0217919997969, "fos_buckling": 0.9102658481403766, "fos_yielding": 4.886176701790406, "deflection": 0.0017756755547129808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_999", "improvement_over_parent": null }, "node_1001": { "node_id": "node_1001", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 203.63 kg\n Factor of Safety: 1.26\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.6303977697857, "fos_buckling": 1.2607761200065637, "fos_yielding": 5.30521088518094, "deflection": 0.001529140172355923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1000", "improvement_over_parent": null }, "node_1002": { "node_id": "node_1002", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1001", "improvement_over_parent": null }, "node_1003": { "node_id": "node_1003", "content": "INITIAL DESIGN (Trace 144)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 102.94 kg\n Factor of Safety: 0.67\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.93592024305227, "fos_buckling": 0.6677666848924528, "fos_yielding": 3.2959594835868966, "deflection": 0.0028959652887224742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1004": { "node_id": "node_1004", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 104.98 kg\n Factor of Safety: 0.77\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.9763792920091, "fos_buckling": 0.7703414680373787, "fos_yielding": 3.375120022527572, "deflection": 0.0028250651332841553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.397)" }, "parent_node_id": "node_1003", "improvement_over_parent": null }, "node_1005": { "node_id": "node_1005", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 129.46 kg\n Factor of Safety: 0.93\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.4643313834968, "fos_buckling": 0.927169650809979, "fos_yielding": 4.15186310617995, "deflection": 0.002297114771025287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1004", "improvement_over_parent": null }, "node_1006": { "node_id": "node_1006", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 168.17 kg\n Factor of Safety: 1.16\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.1720276770316, "fos_buckling": 1.156701409975068, "fos_yielding": 5.37163039693836, "deflection": 0.0017761890768505212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1005", "improvement_over_parent": null }, "node_1007": { "node_id": "node_1007", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.49 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.49190292128804, "fos_buckling": 1.3084140165679374, "fos_yielding": 6.257890983247673, "deflection": 0.0015250725683688894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_1006", "improvement_over_parent": null }, "node_1008": { "node_id": "node_1008", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.9885764600414, "fos_buckling": 1.5510187413157843, "fos_yielding": 6.316484504603941, "deflection": 0.0014936859716042433, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001929)" }, "parent_node_id": "node_1007", "improvement_over_parent": null }, "node_1009": { "node_id": "node_1009", "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0050)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n\nPerformance:\n Mass: 206.57 kg\n Factor of Safety: 1.48\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.56827654519756, "fos_buckling": 1.4847887160283777, "fos_yielding": 6.321529816906998, "deflection": 0.0014797241586426407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.473)" }, "parent_node_id": "node_1008", "improvement_over_parent": null }, "node_1010": { "node_id": "node_1010", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1009", "improvement_over_parent": null }, "node_1011": { "node_id": "node_1011", "content": "INITIAL DESIGN (Trace 145)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 151.98 kg\n Factor of Safety: 0.82\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.97943891390477, "fos_buckling": 0.818024402910287, "fos_yielding": 4.127360191362731, "deflection": 0.0024047787115025585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1012": { "node_id": "node_1012", "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 154.15 kg\n Factor of Safety: 0.82\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.14895451559045, "fos_buckling": 0.818024402910287, "fos_yielding": 4.127360191362731, "deflection": 0.0024047787115025585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.333)" }, "parent_node_id": "node_1011", "improvement_over_parent": null }, "node_1013": { "node_id": "node_1013", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 0.90\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.33236608581063, "fos_buckling": 0.904762764138191, "fos_yielding": 4.620767036019508, "deflection": 0.0021532606510214153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1012", "improvement_over_parent": null }, "node_1014": { "node_id": "node_1014", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 0.91\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.57771232680773, "fos_buckling": 0.90862041681106, "fos_yielding": 5.921381084915598, "deflection": 0.0019308398914053037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1013", "improvement_over_parent": null }, "node_1015": { "node_id": "node_1015", "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.03 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.02683008249352, "fos_buckling": 0.9074935519726939, "fos_yielding": 6.168184692484782, "deflection": 0.001724678453219333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.560)" }, "parent_node_id": "node_1014", "improvement_over_parent": null }, "node_1016": { "node_id": "node_1016", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17820512941537, "fos_buckling": 1.5523740006208078, "fos_yielding": 6.319799863595303, "deflection": 0.0014897845153776517, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1015", "improvement_over_parent": null }, "node_1017": { "node_id": "node_1017", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1016", "improvement_over_parent": null }, "node_1018": { "node_id": "node_1018", "content": "INITIAL DESIGN (Trace 146)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 133.55 kg\n Factor of Safety: 0.89\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.5450840504798, "fos_buckling": 0.8940337458044142, "fos_yielding": 4.381177628501188, "deflection": 0.0022185185998595722, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1019": { "node_id": "node_1019", "content": "MODIFICATION: Increase 12 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 137.51 kg\n Factor of Safety: 0.89\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.50854146493035, "fos_buckling": 0.8927463466819698, "fos_yielding": 4.352429785992527, "deflection": 0.0021945867470469136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.597)" }, "parent_node_id": "node_1018", "improvement_over_parent": null }, "node_1020": { "node_id": "node_1020", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 175.50 kg\n Factor of Safety: 1.12\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.5026436366512, "fos_buckling": 1.123268350556992, "fos_yielding": 5.534170808503884, "deflection": 0.0017261327446581086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1019", "improvement_over_parent": null }, "node_1021": { "node_id": "node_1021", "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 176.58 kg\n Factor of Safety: 1.13\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.58403401163386, "fos_buckling": 1.1292864121050967, "fos_yielding": 5.5370929369250295, "deflection": 0.0017158875992313715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.441)" }, "parent_node_id": "node_1020", "improvement_over_parent": null }, "node_1022": { "node_id": "node_1022", "content": "MODIFICATION: Increase 13 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 179.44 kg\n Factor of Safety: 1.16\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.43562944529958, "fos_buckling": 1.1649372486966065, "fos_yielding": 5.553191269799459, "deflection": 0.0016945283898980174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.190)" }, "parent_node_id": "node_1021", "improvement_over_parent": null }, "node_1023": { "node_id": "node_1023", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.23 kg\n Factor of Safety: 1.28\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.22568665467813, "fos_buckling": 1.2835642787914698, "fos_yielding": 6.1544002631060035, "deflection": 0.0015293511407984271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1022", "improvement_over_parent": null }, "node_1024": { "node_id": "node_1024", "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.35 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.35031077463768, "fos_buckling": 1.5533120216849796, "fos_yielding": 6.325841229455535, "deflection": 0.0014885774709317093, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.642)" }, "parent_node_id": "node_1023", "improvement_over_parent": null }, "node_1025": { "node_id": "node_1025", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1024", "improvement_over_parent": null }, "node_1026": { "node_id": "node_1026", "content": "INITIAL DESIGN (Trace 147)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0013)]\n\nPerformance:\n Mass: 70.14 kg\n Factor of Safety: 0.17\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 70.14091452227055, "fos_buckling": 0.16800956136906775, "fos_yielding": 1.2081653082545292, "deflection": 0.01304257057876936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1027": { "node_id": "node_1027", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0013)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n\nPerformance:\n Mass: 79.09 kg\n Factor of Safety: 0.17\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.08575174528391, "fos_buckling": 0.16792556029582092, "fos_yielding": 1.2944512519678852, "deflection": 0.011305343134128582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001878)" }, "parent_node_id": "node_1026", "improvement_over_parent": null }, "node_1028": { "node_id": "node_1028", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 98.52 kg\n Factor of Safety: 0.20\n Max Deflection: 9.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.51641446645529, "fos_buckling": 0.20436417808968488, "fos_yielding": 1.6085397559607493, "deflection": 0.009101310465054732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1027", "improvement_over_parent": null }, "node_1029": { "node_id": "node_1029", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 122.09 kg\n Factor of Safety: 0.25\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.09149854569624, "fos_buckling": 0.24606172177616445, "fos_yielding": 1.9875175909041194, "deflection": 0.007369277981163151, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_1028", "improvement_over_parent": null }, "node_1030": { "node_id": "node_1030", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 155.79 kg\n Factor of Safety: 0.30\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.78943994870002, "fos_buckling": 0.3009267644277826, "fos_yielding": 2.5251919885136838, "deflection": 0.005803962944692742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_1029", "improvement_over_parent": null }, "node_1031": { "node_id": "node_1031", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 163.08 kg\n Factor of Safety: 0.30\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.08496600190298, "fos_buckling": 0.30056209071747264, "fos_yielding": 2.5221318714335457, "deflection": 0.004461713162802877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1030", "improvement_over_parent": null }, "node_1032": { "node_id": "node_1032", "content": "MODIFICATION: Increase 14 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0053)]\n\nPerformance:\n Mass: 166.80 kg\n Factor of Safety: 0.30\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.79631375291456, "fos_buckling": 0.30037691449149223, "fos_yielding": 2.520577986643011, "deflection": 0.0044357604634102776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.595)" }, "parent_node_id": "node_1031", "improvement_over_parent": null }, "node_1033": { "node_id": "node_1033", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0053)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 200.65 kg\n Factor of Safety: 1.20\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.6542046812784, "fos_buckling": 1.2009392398916636, "fos_yielding": 6.305910738072179, "deflection": 0.001488746831651317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1032", "improvement_over_parent": null }, "node_1034": { "node_id": "node_1034", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1033", "improvement_over_parent": null }, "node_1035": { "node_id": "node_1035", "content": "INITIAL DESIGN (Trace 148)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1036": { "node_id": "node_1036", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 126.74 kg\n Factor of Safety: 0.06\n Max Deflection: 2.59e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.74114777963821, "fos_buckling": 0.059455977392251474, "fos_yielding": 0.38808185843148996, "deflection": 25939254998552.91, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002792)" }, "parent_node_id": "node_1035", "improvement_over_parent": null }, "node_1037": { "node_id": "node_1037", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 127.12 kg\n Factor of Safety: 0.06\n Max Deflection: 2.56e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.11590589083964, "fos_buckling": 0.06453076977043773, "fos_yielding": 0.6995138387929055, "deflection": 25611044462988.87, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.192)" }, "parent_node_id": "node_1036", "improvement_over_parent": null }, "node_1038": { "node_id": "node_1038", "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 127.88 kg\n Factor of Safety: 0.03\n Max Deflection: 8.63e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.87995367112956, "fos_buckling": 0.026096953213660408, "fos_yielding": 0.19404092921574495, "deflection": 86341347369277.94, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.337)" }, "parent_node_id": "node_1037", "improvement_over_parent": null }, "node_1039": { "node_id": "node_1039", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.14\n Max Deflection: 1.11e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.55979331063185, "fos_buckling": 0.13741917532069056, "fos_yielding": 0.5851492650245768, "deflection": 11144110206336.734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1038", "improvement_over_parent": null }, "node_1040": { "node_id": "node_1040", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.39066399446529, "fos_buckling": 0.3005698308132015, "fos_yielding": 2.522567511085168, "deflection": 0.004425734741718012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1039", "improvement_over_parent": null }, "node_1041": { "node_id": "node_1041", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24855492282913, "fos_buckling": 1.5521230834369226, "fos_yielding": 6.323288769544743, "deflection": 0.0014894411805416333, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1040", "improvement_over_parent": null }, "node_1042": { "node_id": "node_1042", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1041", "improvement_over_parent": null }, "node_1043": { "node_id": "node_1043", "content": "INITIAL DESIGN (Trace 149)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 150.54 kg\n Factor of Safety: 0.83\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.54287552830166, "fos_buckling": 0.8347566505175695, "fos_yielding": 4.2174523490747635, "deflection": 0.002229240853290135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1044": { "node_id": "node_1044", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 151.18 kg\n Factor of Safety: 0.83\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.18459607248855, "fos_buckling": 0.834639230037278, "fos_yielding": 4.216852381932333, "deflection": 0.0022076871569156487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.192)" }, "parent_node_id": "node_1043", "improvement_over_parent": null }, "node_1045": { "node_id": "node_1045", "content": "MODIFICATION: Increase 5 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 152.43 kg\n Factor of Safety: 0.83\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.43446366733448, "fos_buckling": 0.8344106270735425, "fos_yielding": 4.217436652379299, "deflection": 0.0022078106224594613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.553)" }, "parent_node_id": "node_1044", "improvement_over_parent": null }, "node_1046": { "node_id": "node_1046", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 168.13 kg\n Factor of Safety: 0.94\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.13466701416058, "fos_buckling": 0.9372582238237558, "fos_yielding": 4.726014054685406, "deflection": 0.0018141760592969261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003414)" }, "parent_node_id": "node_1045", "improvement_over_parent": null }, "node_1047": { "node_id": "node_1047", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 188.64 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.63750608581256, "fos_buckling": 1.0309879076543833, "fos_yielding": 5.291112273943742, "deflection": 0.001620596863142948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_1046", "improvement_over_parent": null }, "node_1048": { "node_id": "node_1048", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23232615620637, "fos_buckling": 1.5525462779964596, "fos_yielding": 6.3219737620150696, "deflection": 0.0014894514034203778, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1047", "improvement_over_parent": null }, "node_1049": { "node_id": "node_1049", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1048", "improvement_over_parent": null }, "node_1050": { "node_id": "node_1050", "content": "INITIAL DESIGN (Trace 150)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.75 kg\n Factor of Safety: 0.76\n Max Deflection: 1.83e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.7458598306353, "fos_buckling": 0.7617139607317397, "fos_yielding": 6.209309734903839, "deflection": 1828983002801.335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1051": { "node_id": "node_1051", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 177.61 kg\n Factor of Safety: 0.51\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.6117360190488, "fos_buckling": 0.5067415344506322, "fos_yielding": 2.341750905095404, "deflection": 0.005568977704437263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1050", "improvement_over_parent": null }, "node_1052": { "node_id": "node_1052", "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.51\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.23897451399296, "fos_buckling": 0.5067064038097013, "fos_yielding": 2.3415896806876986, "deflection": 0.005561650079368654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.215)" }, "parent_node_id": "node_1051", "improvement_over_parent": null }, "node_1053": { "node_id": "node_1053", "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 179.27 kg\n Factor of Safety: 0.51\n Max Deflection: 5.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.26884556193215, "fos_buckling": 0.5066775667220915, "fos_yielding": 2.3414573390537368, "deflection": 0.005562283887888302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.362)" }, "parent_node_id": "node_1052", "improvement_over_parent": null }, "node_1054": { "node_id": "node_1054", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87745133192095, "fos_buckling": 0.5061850211553338, "fos_yielding": 3.500675631766292, "deflection": 0.004054334761450926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1053", "improvement_over_parent": null }, "node_1055": { "node_id": "node_1055", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17297738512391, "fos_buckling": 1.5521472464653605, "fos_yielding": 6.31998134371519, "deflection": 0.0014898836546986172, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1054", "improvement_over_parent": null }, "node_1056": { "node_id": "node_1056", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1055", "improvement_over_parent": null }, "node_1057": { "node_id": "node_1057", "content": "INITIAL DESIGN (Trace 151)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0008)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0009)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 86.40 kg\n Factor of Safety: 0.25\n Max Deflection: 9.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.4021942311499, "fos_buckling": 0.25172607531465313, "fos_yielding": 1.3612333016974374, "deflection": 0.00964058343408316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1058": { "node_id": "node_1058", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 95.61 kg\n Factor of Safety: 0.28\n Max Deflection: 8.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.60730440158147, "fos_buckling": 0.27608289432990146, "fos_yielding": 1.5052525652251294, "deflection": 0.008723669151333494, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_1057", "improvement_over_parent": null }, "node_1059": { "node_id": "node_1059", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 117.31 kg\n Factor of Safety: 0.33\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.31477631674528, "fos_buckling": 0.3316690276377101, "fos_yielding": 1.844216249606438, "deflection": 0.007131041976265412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1058", "improvement_over_parent": null }, "node_1060": { "node_id": "node_1060", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 152.46 kg\n Factor of Safety: 0.42\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.4609126130614, "fos_buckling": 0.4161935403251323, "fos_yielding": 2.391250234491476, "deflection": 0.005513725146157124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_1059", "improvement_over_parent": null }, "node_1061": { "node_id": "node_1061", "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 153.59 kg\n Factor of Safety: 0.42\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.59009899799761, "fos_buckling": 0.41616747617834216, "fos_yielding": 2.380465305622923, "deflection": 0.005512073274976174, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.458)" }, "parent_node_id": "node_1060", "improvement_over_parent": null }, "node_1062": { "node_id": "node_1062", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 159.35 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.34990749097025, "fos_buckling": 1.2742950690370647, "fos_yielding": 4.997844572286325, "deflection": 0.0018859409900573785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002576)" }, "parent_node_id": "node_1061", "improvement_over_parent": null }, "node_1063": { "node_id": "node_1063", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.77864801978987, "fos_buckling": 1.5478047301659044, "fos_yielding": 6.300069009094518, "deflection": 0.0014967876707519608, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1062", "improvement_over_parent": null }, "node_1064": { "node_id": "node_1064", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0046)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 205.45 kg\n Factor of Safety: 1.50\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.44737214372873, "fos_buckling": 1.501401517008554, "fos_yielding": 6.304160952899559, "deflection": 0.001485088585068284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.376)" }, "parent_node_id": "node_1063", "improvement_over_parent": null }, "node_1065": { "node_id": "node_1065", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1064", "improvement_over_parent": null }, "node_1066": { "node_id": "node_1066", "content": "INITIAL DESIGN (Trace 152)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 145.65 kg\n Factor of Safety: 0.42\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.64689080919555, "fos_buckling": 0.416661142455445, "fos_yielding": 1.8928744196416778, "deflection": 0.006116286258673961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1067": { "node_id": "node_1067", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 151.40 kg\n Factor of Safety: 0.90\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.39837089499096, "fos_buckling": 0.8975814651870303, "fos_yielding": 3.6561680742817453, "deflection": 0.0022968149134637503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002572)" }, "parent_node_id": "node_1066", "improvement_over_parent": null }, "node_1068": { "node_id": "node_1068", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 154.42 kg\n Factor of Safety: 1.11\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.41886366966608, "fos_buckling": 1.112074624193793, "fos_yielding": 3.5213977662359914, "deflection": 0.002089023092024966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001864)" }, "parent_node_id": "node_1067", "improvement_over_parent": null }, "node_1069": { "node_id": "node_1069", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 195.93 kg\n Factor of Safety: 1.37\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.92584280734187, "fos_buckling": 1.3659514333071625, "fos_yielding": 4.4727677427740655, "deflection": 0.0016518268422389597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_1068", "improvement_over_parent": null }, "node_1070": { "node_id": "node_1070", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 198.98 kg\n Factor of Safety: 1.36\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.97504755228076, "fos_buckling": 1.3628271810916022, "fos_yielding": 4.524161521039326, "deflection": 0.0016440316602036105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.220)" }, "parent_node_id": "node_1069", "improvement_over_parent": null }, "node_1071": { "node_id": "node_1071", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 201.50 kg\n Factor of Safety: 1.37\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.499218679768, "fos_buckling": 1.3683307693106308, "fos_yielding": 6.414077005840192, "deflection": 0.00156693626325645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.502)" }, "parent_node_id": "node_1070", "improvement_over_parent": null }, "node_1072": { "node_id": "node_1072", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1071", "improvement_over_parent": null }, "node_1073": { "node_id": "node_1073", "content": "INITIAL DESIGN (Trace 153)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 164.28 kg\n Factor of Safety: 0.91\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.28035651314127, "fos_buckling": 0.9117321178839906, "fos_yielding": 5.241651331564893, "deflection": 0.0018342162805746122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1074": { "node_id": "node_1074", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 181.89 kg\n Factor of Safety: 1.01\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.88896228313007, "fos_buckling": 1.011232460407782, "fos_yielding": 5.2365528914560215, "deflection": 0.0016548666744736176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1073", "improvement_over_parent": null }, "node_1075": { "node_id": "node_1075", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 198.13 kg\n Factor of Safety: 0.98\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.13430852412716, "fos_buckling": 0.9809079183655033, "fos_yielding": 6.307236316483556, "deflection": 0.0015314466893150123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1074", "improvement_over_parent": null }, "node_1076": { "node_id": "node_1076", "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.29 kg\n Factor of Safety: 1.22\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.29445363257872, "fos_buckling": 1.219326694253348, "fos_yielding": 6.313592745931446, "deflection": 0.0015106576205241853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.445)" }, "parent_node_id": "node_1075", "improvement_over_parent": null }, "node_1077": { "node_id": "node_1077", "content": "MODIFICATION: Increase 9 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16680049691706, "fos_buckling": 1.5521383135086966, "fos_yielding": 6.319944970800459, "deflection": 0.0014899240797323497, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.582)" }, "parent_node_id": "node_1076", "improvement_over_parent": null }, "node_1078": { "node_id": "node_1078", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1077", "improvement_over_parent": null }, "node_1079": { "node_id": "node_1079", "content": "INITIAL DESIGN (Trace 154)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 152.21 kg\n Factor of Safety: 0.94\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.20638497623057, "fos_buckling": 0.9395967882109336, "fos_yielding": 5.07829258536308, "deflection": 0.0019393572604268622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1080": { "node_id": "node_1080", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 182.19 kg\n Factor of Safety: 1.11\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.18612795325794, "fos_buckling": 1.1082986163065038, "fos_yielding": 6.057615651082953, "deflection": 0.0016254658178541672, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_1079", "improvement_over_parent": null }, "node_1081": { "node_id": "node_1081", "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 186.78 kg\n Factor of Safety: 1.35\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.77789769076313, "fos_buckling": 1.349019836884901, "fos_yielding": 6.243165380089836, "deflection": 0.0015762095230252649, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.543)" }, "parent_node_id": "node_1080", "improvement_over_parent": null }, "node_1082": { "node_id": "node_1082", "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 191.16 kg\n Factor of Safety: 1.38\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.15961678137353, "fos_buckling": 1.3832826462710706, "fos_yielding": 6.231408818148599, "deflection": 0.0015588807220451198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.302)" }, "parent_node_id": "node_1081", "improvement_over_parent": null }, "node_1083": { "node_id": "node_1083", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 199.03 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.02549296978702, "fos_buckling": 1.4872401062250356, "fos_yielding": 6.312337584145109, "deflection": 0.0015106051118873296, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1082", "improvement_over_parent": null }, "node_1084": { "node_id": "node_1084", "content": "MODIFICATION: Increase 14 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 206.84 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.8421332013823, "fos_buckling": 1.5484469764751214, "fos_yielding": 6.304353109657508, "deflection": 0.0014824099058196394, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.443)" }, "parent_node_id": "node_1083", "improvement_over_parent": null }, "node_1085": { "node_id": "node_1085", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1084", "improvement_over_parent": null }, "node_1086": { "node_id": "node_1086", "content": "INITIAL DESIGN (Trace 155)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 151.11 kg\n Factor of Safety: 0.87\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.1054235877333, "fos_buckling": 0.8676495694314342, "fos_yielding": 4.701595216774945, "deflection": 0.0020314484794657036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1087": { "node_id": "node_1087", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.15 kg\n Factor of Safety: 0.96\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.147090257928, "fos_buckling": 0.9610107000292563, "fos_yielding": 5.252210434149448, "deflection": 0.0018190332489315935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_1086", "improvement_over_parent": null }, "node_1088": { "node_id": "node_1088", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 184.74 kg\n Factor of Safety: 1.18\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.7419103283218, "fos_buckling": 1.1772809555125896, "fos_yielding": 5.238635963169614, "deflection": 0.0016276459475045952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1087", "improvement_over_parent": null }, "node_1089": { "node_id": "node_1089", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 186.41 kg\n Factor of Safety: 1.18\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.41204341965926, "fos_buckling": 1.1772809555125896, "fos_yielding": 5.238635963169614, "deflection": 0.0016276459475045952, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.212)" }, "parent_node_id": "node_1088", "improvement_over_parent": null }, "node_1090": { "node_id": "node_1090", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 202.66 kg\n Factor of Safety: 1.14\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.65738966065635, "fos_buckling": 1.141021912463471, "fos_yielding": 6.3179846814990155, "deflection": 0.0015026571549901857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1089", "improvement_over_parent": null }, "node_1091": { "node_id": "node_1091", "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.219913714165, "fos_buckling": 1.5524602188204515, "fos_yielding": 6.321617395247085, "deflection": 0.0014894828567838618, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.661)" }, "parent_node_id": "node_1090", "improvement_over_parent": null }, "node_1092": { "node_id": "node_1092", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1091", "improvement_over_parent": null }, "node_1093": { "node_id": "node_1093", "content": "INITIAL DESIGN (Trace 156)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 176.56 kg\n Factor of Safety: 1.02\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.5581263585711, "fos_buckling": 1.0222507429924048, "fos_yielding": 4.211831719017033, "deflection": 0.001912458526201336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1094": { "node_id": "node_1094", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.51 kg\n Factor of Safety: 1.12\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.51232320078384, "fos_buckling": 1.1240623400589573, "fos_yielding": 4.687938283505923, "deflection": 0.0017213644981453442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_1093", "improvement_over_parent": null }, "node_1095": { "node_id": "node_1095", "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.11 kg\n Factor of Safety: 1.14\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.10597951277796, "fos_buckling": 1.1413235210986017, "fos_yielding": 4.759926596369452, "deflection": 0.0016796730805138224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.271)" }, "parent_node_id": "node_1094", "improvement_over_parent": null }, "node_1096": { "node_id": "node_1096", "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.40 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.40300685287906, "fos_buckling": 1.2846035290334203, "fos_yielding": 5.230883765282325, "deflection": 0.0016170300351190613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.504)" }, "parent_node_id": "node_1095", "improvement_over_parent": null }, "node_1097": { "node_id": "node_1097", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2338775367125, "fos_buckling": 1.5525101919234425, "fos_yielding": 6.321795149105804, "deflection": 0.0014893653614869498, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1096", "improvement_over_parent": null }, "node_1098": { "node_id": "node_1098", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1097", "improvement_over_parent": null }, "node_1099": { "node_id": "node_1099", "content": "INITIAL DESIGN (Trace 157)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 116.07 kg\n Factor of Safety: 0.33\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.07136008431993, "fos_buckling": 0.32966147541107155, "fos_yielding": 2.1323907279136485, "deflection": 0.006877139982416242, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1100": { "node_id": "node_1100", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 135.62 kg\n Factor of Safety: 0.38\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.6209117348337, "fos_buckling": 0.3777581475824491, "fos_yielding": 2.4844450576424935, "deflection": 0.005904764031422003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1099", "improvement_over_parent": null }, "node_1101": { "node_id": "node_1101", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 140.76 kg\n Factor of Safety: 0.87\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.76136522869345, "fos_buckling": 0.8683916140628635, "fos_yielding": 4.4727192297566, "deflection": 0.0021345118877516655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002281)" }, "parent_node_id": "node_1100", "improvement_over_parent": null }, "node_1102": { "node_id": "node_1102", "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0061)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 154.83 kg\n Factor of Safety: 0.87\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.8346316735535, "fos_buckling": 0.8740498630375847, "fos_yielding": 4.225039761065416, "deflection": 0.0018993555274573455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.656)" }, "parent_node_id": "node_1101", "improvement_over_parent": null }, "node_1103": { "node_id": "node_1103", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 198.54 kg\n Factor of Safety: 1.09\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.54108884751307, "fos_buckling": 1.0944367017482426, "fos_yielding": 5.41723443293061, "deflection": 0.001488536625219995, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1102", "improvement_over_parent": null }, "node_1104": { "node_id": "node_1104", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0089)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 218.79 kg\n Factor of Safety: 1.19\n Max Deflection: 1.35e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.7940408264897, "fos_buckling": 1.1927798883100935, "fos_yielding": 5.970608275448357, "deflection": 0.0013538334150829394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1103", "improvement_over_parent": null }, "node_1105": { "node_id": "node_1105", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1104", "improvement_over_parent": null }, "node_1106": { "node_id": "node_1106", "content": "INITIAL DESIGN (Trace 158)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 140.93 kg\n Factor of Safety: 0.56\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.93361084708437, "fos_buckling": 0.5619435053755557, "fos_yielding": 4.180909389235621, "deflection": 0.0025433014135245596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1107": { "node_id": "node_1107", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 154.12 kg\n Factor of Safety: 1.00\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.12465947427614, "fos_buckling": 0.9994267290641682, "fos_yielding": 4.841034512753231, "deflection": 0.0019494954246529318, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002611)" }, "parent_node_id": "node_1106", "improvement_over_parent": null }, "node_1108": { "node_id": "node_1108", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 172.53 kg\n Factor of Safety: 1.11\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.52860077256622, "fos_buckling": 1.1078246405085952, "fos_yielding": 5.4084132560062335, "deflection": 0.0017453370162281072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1107", "improvement_over_parent": null }, "node_1109": { "node_id": "node_1109", "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 175.30 kg\n Factor of Safety: 1.11\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.30343543476914, "fos_buckling": 1.1105590004750112, "fos_yielding": 5.404855292740985, "deflection": 0.0017276141243614833, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.203)" }, "parent_node_id": "node_1108", "improvement_over_parent": null }, "node_1110": { "node_id": "node_1110", "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 176.50 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.50299610682382, "fos_buckling": 1.378515976762842, "fos_yielding": 5.479084589098379, "deflection": 0.0017180199630801628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.613)" }, "parent_node_id": "node_1109", "improvement_over_parent": null }, "node_1111": { "node_id": "node_1111", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13846730780986, "fos_buckling": 1.551943824659741, "fos_yielding": 6.31894703538275, "deflection": 0.0014901525659718033, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1110", "improvement_over_parent": null }, "node_1112": { "node_id": "node_1112", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1111", "improvement_over_parent": null }, "node_1113": { "node_id": "node_1113", "content": "INITIAL DESIGN (Trace 159)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 151.71 kg\n Factor of Safety: 1.14\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.70515780388826, "fos_buckling": 1.1430992027967064, "fos_yielding": 4.543346729211705, "deflection": 0.0019015346745822807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1114": { "node_id": "node_1114", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 175.59 kg\n Factor of Safety: 1.29\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.593618853849, "fos_buckling": 1.2872253066983392, "fos_yielding": 5.241050446171601, "deflection": 0.0016483729565543543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_1113", "improvement_over_parent": null }, "node_1115": { "node_id": "node_1115", "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 178.41 kg\n Factor of Safety: 1.29\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.4095559862003, "fos_buckling": 1.2872253066983392, "fos_yielding": 5.241050446171601, "deflection": 0.0016483729565543543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.412)" }, "parent_node_id": "node_1114", "improvement_over_parent": null }, "node_1116": { "node_id": "node_1116", "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 181.35 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.34653593768718, "fos_buckling": 1.2863895949026956, "fos_yielding": 5.2376477724853165, "deflection": 0.0016425254992273792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.295)" }, "parent_node_id": "node_1115", "improvement_over_parent": null }, "node_1117": { "node_id": "node_1117", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 181.79 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.78717236682093, "fos_buckling": 1.286326947545896, "fos_yielding": 5.237392698291541, "deflection": 0.0016426053159550025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.209)" }, "parent_node_id": "node_1116", "improvement_over_parent": null }, "node_1118": { "node_id": "node_1118", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 198.03 kg\n Factor of Safety: 1.34\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.03251860781802, "fos_buckling": 1.3350755860845243, "fos_yielding": 6.259669236788863, "deflection": 0.001522260603907078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1117", "improvement_over_parent": null }, "node_1119": { "node_id": "node_1119", "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0050)]\n\nPerformance:\n Mass: 203.03 kg\n Factor of Safety: 1.25\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.0343115536055, "fos_buckling": 1.250702900100233, "fos_yielding": 6.3359633887120195, "deflection": 0.0015141205967086975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.351)" }, "parent_node_id": "node_1118", "improvement_over_parent": null }, "node_1120": { "node_id": "node_1120", "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0050)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.34\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.17885824679885, "fos_buckling": 1.337826269847043, "fos_yielding": 6.323069242343515, "deflection": 0.001506717107437949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.468)" }, "parent_node_id": "node_1119", "improvement_over_parent": null }, "node_1121": { "node_id": "node_1121", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1120", "improvement_over_parent": null }, "node_1122": { "node_id": "node_1122", "content": "INITIAL DESIGN (Trace 160)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 120.47 kg\n Factor of Safety: 0.70\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.4743278056027, "fos_buckling": 0.7021421519468902, "fos_yielding": 3.4031271304425883, "deflection": 0.002518747736919004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1123": { "node_id": "node_1123", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 155.28 kg\n Factor of Safety: 0.88\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.27759025482194, "fos_buckling": 0.8762111007028774, "fos_yielding": 4.370450197396222, "deflection": 0.001961634351932467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1122", "improvement_over_parent": null }, "node_1124": { "node_id": "node_1124", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.65 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.64706815317905, "fos_buckling": 1.0310352170071555, "fos_yielding": 5.291404908035078, "deflection": 0.001620506248481967, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_1123", "improvement_over_parent": null }, "node_1125": { "node_id": "node_1125", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24188822357286, "fos_buckling": 1.5526182439711338, "fos_yielding": 6.322331068886785, "deflection": 0.001489375103715822, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1124", "improvement_over_parent": null }, "node_1126": { "node_id": "node_1126", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1125", "improvement_over_parent": null }, "node_1127": { "node_id": "node_1127", "content": "INITIAL DESIGN (Trace 161)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 122.27 kg\n Factor of Safety: 0.36\n Max Deflection: 5.54e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.2714826800969, "fos_buckling": 0.3552267390654021, "fos_yielding": 3.2696199552456577, "deflection": 5536508884259.025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1128": { "node_id": "node_1128", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 125.83 kg\n Factor of Safety: 0.52\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.83248658023349, "fos_buckling": 0.5157108967210228, "fos_yielding": 4.464759270872284, "deflection": 0.0026525802116520157, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002125)" }, "parent_node_id": "node_1127", "improvement_over_parent": null }, "node_1129": { "node_id": "node_1129", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 137.73 kg\n Factor of Safety: 0.51\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.72781330199473, "fos_buckling": 0.5143768096238417, "fos_yielding": 4.453125189620656, "deflection": 0.0028543507195756806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003191)" }, "parent_node_id": "node_1128", "improvement_over_parent": null }, "node_1130": { "node_id": "node_1130", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 160.63 kg\n Factor of Safety: 0.59\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.6296636319208, "fos_buckling": 0.5859271422183318, "fos_yielding": 5.18868256598763, "deflection": 0.0024554863284461173, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_1129", "improvement_over_parent": null }, "node_1131": { "node_id": "node_1131", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 176.88 kg\n Factor of Safety: 0.58\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.87500987291787, "fos_buckling": 0.5849000562782044, "fos_yielding": 5.179510123815394, "deflection": 0.0023087614197827193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1130", "improvement_over_parent": null }, "node_1132": { "node_id": "node_1132", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 180.45 kg\n Factor of Safety: 0.58\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.45125230129662, "fos_buckling": 0.5842237217046783, "fos_yielding": 5.173470233263316, "deflection": 0.0023261810074458613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.259)" }, "parent_node_id": "node_1131", "improvement_over_parent": null }, "node_1133": { "node_id": "node_1133", "content": "MODIFICATION: Increase 14 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0053)]\n\nPerformance:\n Mass: 186.31 kg\n Factor of Safety: 0.58\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.31228376251534, "fos_buckling": 0.5838549048964324, "fos_yielding": 5.170176627535489, "deflection": 0.002314559391863875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.414)" }, "parent_node_id": "node_1132", "improvement_over_parent": null }, "node_1134": { "node_id": "node_1134", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0053)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 206.62 kg\n Factor of Safety: 1.45\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.62247098591828, "fos_buckling": 1.446002670968714, "fos_yielding": 6.406481636393988, "deflection": 0.0014991633202749784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1133", "improvement_over_parent": null }, "node_1135": { "node_id": "node_1135", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1134", "improvement_over_parent": null }, "node_1136": { "node_id": "node_1136", "content": "INITIAL DESIGN (Trace 162)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 153.30 kg\n Factor of Safety: 0.42\n Max Deflection: 5.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.3032735423054, "fos_buckling": 0.417788160664406, "fos_yielding": 2.788256127961878, "deflection": 0.005180839820854878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1137": { "node_id": "node_1137", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 154.13 kg\n Factor of Safety: 0.42\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.12871316780394, "fos_buckling": 0.4177499184596345, "fos_yielding": 2.7880021040486493, "deflection": 0.00516315662324631, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.401)" }, "parent_node_id": "node_1136", "improvement_over_parent": null }, "node_1138": { "node_id": "node_1138", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 159.91 kg\n Factor of Safety: 1.14\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.90725357836436, "fos_buckling": 1.140966152498, "fos_yielding": 5.024925614279796, "deflection": 0.0018850420764518314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002585)" }, "parent_node_id": "node_1137", "improvement_over_parent": null }, "node_1139": { "node_id": "node_1139", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 166.61 kg\n Factor of Safety: 1.14\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.60780574408005, "fos_buckling": 1.1449197014333545, "fos_yielding": 4.875426599481918, "deflection": 0.0017752015579280069, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.274)" }, "parent_node_id": "node_1138", "improvement_over_parent": null }, "node_1140": { "node_id": "node_1140", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0068)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 210.25 kg\n Factor of Safety: 1.39\n Max Deflection: 1.41e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 210.2483632842504, "fos_buckling": 1.3935684987121202, "fos_yielding": 6.135401770583193, "deflection": 0.0014144916538686267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_1139", "improvement_over_parent": null }, "node_1141": { "node_id": "node_1141", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1140", "improvement_over_parent": null }, "node_1142": { "node_id": "node_1142", "content": "INITIAL DESIGN (Trace 163)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 119.35 kg\n Factor of Safety: 0.76\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.35023908864395, "fos_buckling": 0.7567802603367261, "fos_yielding": 3.8155275612062423, "deflection": 0.002692349892503497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1143": { "node_id": "node_1143", "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 120.94 kg\n Factor of Safety: 0.76\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.93589086714977, "fos_buckling": 0.7563836729031044, "fos_yielding": 3.814517259677638, "deflection": 0.0026656323278812523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.357)" }, "parent_node_id": "node_1142", "improvement_over_parent": null }, "node_1144": { "node_id": "node_1144", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 124.21 kg\n Factor of Safety: 0.90\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.21305801847653, "fos_buckling": 0.8981845641962083, "fos_yielding": 3.8138215527897357, "deflection": 0.0025625490795814503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001943)" }, "parent_node_id": "node_1143", "improvement_over_parent": null }, "node_1145": { "node_id": "node_1145", "content": "MODIFICATION: Increase 12 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0045)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 130.18 kg\n Factor of Safety: 0.90\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.1776507120799, "fos_buckling": 0.8978865133451324, "fos_yielding": 3.8125559857726965, "deflection": 0.0025061224871808178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.412)" }, "parent_node_id": "node_1144", "improvement_over_parent": null }, "node_1146": { "node_id": "node_1146", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0045)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 146.96 kg\n Factor of Safety: 1.06\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.95575057370294, "fos_buckling": 1.0586101535801087, "fos_yielding": 4.152862938605486, "deflection": 0.0020530992782914763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003289)" }, "parent_node_id": "node_1145", "improvement_over_parent": null }, "node_1147": { "node_id": "node_1147", "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0045)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 148.62 kg\n Factor of Safety: 1.06\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.62164669986976, "fos_buckling": 1.0585123232860778, "fos_yielding": 4.1524791563406165, "deflection": 0.0020484886558057125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.570)" }, "parent_node_id": "node_1146", "improvement_over_parent": null }, "node_1148": { "node_id": "node_1148", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0059)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 187.91 kg\n Factor of Safety: 1.29\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.90983817893627, "fos_buckling": 1.2857063873049934, "fos_yielding": 5.23477110617236, "deflection": 0.001625737497123791, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_1147", "improvement_over_parent": null }, "node_1149": { "node_id": "node_1149", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0059)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15518441993333, "fos_buckling": 1.5472413349291894, "fos_yielding": 6.29961421545116, "deflection": 0.0015033481418807392, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1148", "improvement_over_parent": null }, "node_1150": { "node_id": "node_1150", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1149", "improvement_over_parent": null }, "node_1151": { "node_id": "node_1151", "content": "INITIAL DESIGN (Trace 164)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1152": { "node_id": "node_1152", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1151", "improvement_over_parent": null }, "node_1153": { "node_id": "node_1153", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 156.79 kg\n Factor of Safety: 0.01\n Max Deflection: 6.50e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.7905241681866, "fos_buckling": 0.008658638506812632, "fos_yielding": 0.11495149117245754, "deflection": 64958992224922.24, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1152", "improvement_over_parent": null }, "node_1154": { "node_id": "node_1154", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 174.40 kg\n Factor of Safety: 0.51\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.3991299381754, "fos_buckling": 0.5069961504376308, "fos_yielding": 3.5101706945029587, "deflection": 0.004235134000849398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1153", "improvement_over_parent": null }, "node_1155": { "node_id": "node_1155", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 194.71 kg\n Factor of Safety: 0.51\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.70931716157835, "fos_buckling": 0.5064274071709864, "fos_yielding": 3.502341818217783, "deflection": 0.004074541045539081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1154", "improvement_over_parent": null }, "node_1156": { "node_id": "node_1156", "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.13 kg\n Factor of Safety: 0.51\n Max Deflection: 3.92e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.13157387241782, "fos_buckling": 0.5063478545228609, "fos_yielding": 3.501248143566931, "deflection": 0.003917361875823158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.203)" }, "parent_node_id": "node_1155", "improvement_over_parent": null }, "node_1157": { "node_id": "node_1157", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0034)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 203.43 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.42709992562078, "fos_buckling": 1.5130869228280093, "fos_yielding": 6.264262196553089, "deflection": 0.0015015372526112117, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1156", "improvement_over_parent": null }, "node_1158": { "node_id": "node_1158", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1157", "improvement_over_parent": null }, "node_1159": { "node_id": "node_1159", "content": "INITIAL DESIGN (Trace 165)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 127.44 kg\n Factor of Safety: 0.25\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.43906194467182, "fos_buckling": 0.24542433219705215, "fos_yielding": 1.7762493197881233, "deflection": 0.006455295831045519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1160": { "node_id": "node_1160", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 162.97 kg\n Factor of Safety: 0.30\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.96910514579565, "fos_buckling": 0.30064508945819834, "fos_yielding": 2.278213969293819, "deflection": 0.005055946636732188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1159", "improvement_over_parent": null }, "node_1161": { "node_id": "node_1161", "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 165.53 kg\n Factor of Safety: 0.30\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.52848625177035, "fos_buckling": 0.30055986995912076, "fos_yielding": 2.5220400413982067, "deflection": 0.004697322328329899, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.250)" }, "parent_node_id": "node_1160", "improvement_over_parent": null }, "node_1162": { "node_id": "node_1162", "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 168.15 kg\n Factor of Safety: 0.30\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.15387110911058, "fos_buckling": 0.30047250292085464, "fos_yielding": 2.5213069323213513, "deflection": 0.004447330969571128, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.212)" }, "parent_node_id": "node_1161", "improvement_over_parent": null }, "node_1163": { "node_id": "node_1163", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 202.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.01176203747443, "fos_buckling": 1.5499443302506388, "fos_yielding": 6.306902660520079, "deflection": 0.0014949649263376543, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1162", "improvement_over_parent": null }, "node_1164": { "node_id": "node_1164", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0387186145886, "fos_buckling": 1.5518507813450186, "fos_yielding": 6.314660230417682, "deflection": 0.0014906944109252017, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.381)" }, "parent_node_id": "node_1163", "improvement_over_parent": null }, "node_1165": { "node_id": "node_1165", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1164", "improvement_over_parent": null }, "node_1166": { "node_id": "node_1166", "content": "INITIAL DESIGN (Trace 166)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1167": { "node_id": "node_1167", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.33769492890536, "fos_buckling": 1.2843027431833476, "fos_yielding": 5.229381036551124, "deflection": 0.001617609605395345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1166", "improvement_over_parent": null }, "node_1168": { "node_id": "node_1168", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1685656127388, "fos_buckling": 1.5521400861797374, "fos_yielding": 6.319952188703222, "deflection": 0.00148991620187232, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1167", "improvement_over_parent": null }, "node_1169": { "node_id": "node_1169", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1168", "improvement_over_parent": null }, "node_1170": { "node_id": "node_1170", "content": "INITIAL DESIGN (Trace 167)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 68.41 kg\n Factor of Safety: 0.14\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 68.40773343117007, "fos_buckling": 0.1409036856563128, "fos_yielding": 1.070466220477703, "deflection": 0.013647789617204519, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1171": { "node_id": "node_1171", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 76.43 kg\n Factor of Safety: 0.16\n Max Deflection: 1.22e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 76.43236821220835, "fos_buckling": 0.156034660988984, "fos_yielding": 1.1950215452174053, "deflection": 0.01222725711298703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_1170", "improvement_over_parent": null }, "node_1172": { "node_id": "node_1172", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 98.71 kg\n Factor of Safety: 0.20\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.71215789162422, "fos_buckling": 0.19652192622464282, "fos_yielding": 1.5397323861432852, "deflection": 0.009494056296719771, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1171", "improvement_over_parent": null }, "node_1173": { "node_id": "node_1173", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 119.90 kg\n Factor of Safety: 0.23\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.89745360920926, "fos_buckling": 0.2329547843798396, "fos_yielding": 1.8660069918881137, "deflection": 0.007837285838682291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_1172", "improvement_over_parent": null }, "node_1174": { "node_id": "node_1174", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n\nPerformance:\n Mass: 144.80 kg\n Factor of Safety: 0.39\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.80160137843495, "fos_buckling": 0.39221270967471306, "fos_yielding": 2.5929627487885476, "deflection": 0.005464597364888399, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003848)" }, "parent_node_id": "node_1173", "improvement_over_parent": null }, "node_1175": { "node_id": "node_1175", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n\nPerformance:\n Mass: 171.42 kg\n Factor of Safety: 0.45\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.4213894242556, "fos_buckling": 0.452231874522707, "fos_yielding": 3.0585810027522626, "deflection": 0.004636630788972909, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1174", "improvement_over_parent": null }, "node_1176": { "node_id": "node_1176", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 177.77 kg\n Factor of Safety: 1.39\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.7717178282965, "fos_buckling": 1.3867244091460056, "fos_yielding": 5.517837696295921, "deflection": 0.0017059968697675926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002862)" }, "parent_node_id": "node_1175", "improvement_over_parent": null }, "node_1177": { "node_id": "node_1177", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14771317144817, "fos_buckling": 1.551995612075713, "fos_yielding": 6.319330144462532, "deflection": 0.001490077890926027, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_1176", "improvement_over_parent": null }, "node_1178": { "node_id": "node_1178", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1177", "improvement_over_parent": null }, "node_1179": { "node_id": "node_1179", "content": "INITIAL DESIGN (Trace 168)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 146.78 kg\n Factor of Safety: 0.30\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.78054812942992, "fos_buckling": 0.3017568985512091, "fos_yielding": 2.5324126209416282, "deflection": 0.0054722607869742415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1180": { "node_id": "node_1180", "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 149.06 kg\n Factor of Safety: 0.30\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.06182916883773, "fos_buckling": 0.30164219356102784, "fos_yielding": 2.5314499905387624, "deflection": 0.005345345885786762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.499)" }, "parent_node_id": "node_1179", "improvement_over_parent": null }, "node_1181": { "node_id": "node_1181", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 182.92 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.91972009720158, "fos_buckling": 0.9170670361518984, "fos_yielding": 4.8029593210650425, "deflection": 0.0019480994945705414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1180", "improvement_over_parent": null }, "node_1182": { "node_id": "node_1182", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1681116041182, "fos_buckling": 1.552047399260414, "fos_yielding": 6.320002233014618, "deflection": 0.0014899204026316219, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1181", "improvement_over_parent": null }, "node_1183": { "node_id": "node_1183", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1182", "improvement_over_parent": null }, "node_1184": { "node_id": "node_1184", "content": "INITIAL DESIGN (Trace 169)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 114.66 kg\n Factor of Safety: 0.77\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.657490168835, "fos_buckling": 0.771968811007874, "fos_yielding": 3.873650034436133, "deflection": 0.0025049393914124266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1185": { "node_id": "node_1185", "content": "MODIFICATION: Increase 10 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 116.98 kg\n Factor of Safety: 0.77\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.98085446786071, "fos_buckling": 0.7684331132304361, "fos_yielding": 3.931991822044331, "deflection": 0.0024913743183368913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.312)" }, "parent_node_id": "node_1184", "improvement_over_parent": null }, "node_1186": { "node_id": "node_1186", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 118.63 kg\n Factor of Safety: 0.92\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.6291787670779, "fos_buckling": 0.9242819527520935, "fos_yielding": 3.9383836472198395, "deflection": 0.002464604170901138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.325)" }, "parent_node_id": "node_1185", "improvement_over_parent": null }, "node_1187": { "node_id": "node_1187", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n\nPerformance:\n Mass: 123.56 kg\n Factor of Safety: 0.82\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.55943867223843, "fos_buckling": 0.8181405157132475, "fos_yielding": 3.9698379242063098, "deflection": 0.002427998140185074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001719)" }, "parent_node_id": "node_1186", "improvement_over_parent": null }, "node_1188": { "node_id": "node_1188", "content": "MODIFICATION: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n\nPerformance:\n Mass: 128.80 kg\n Factor of Safety: 0.81\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.80441181446201, "fos_buckling": 0.8071931583773483, "fos_yielding": 3.972004034268374, "deflection": 0.0024002173525116913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.517)" }, "parent_node_id": "node_1187", "improvement_over_parent": null }, "node_1189": { "node_id": "node_1189", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 165.95 kg\n Factor of Safety: 1.02\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.94559688793967, "fos_buckling": 1.024638540506594, "fos_yielding": 5.102946296439439, "deflection": 0.0018685827666195805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1188", "improvement_over_parent": null }, "node_1190": { "node_id": "node_1190", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0059)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 205.21 kg\n Factor of Safety: 1.25\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.21040526163523, "fos_buckling": 1.2468271030323161, "fos_yielding": 6.2920776165941765, "deflection": 0.0015157045980315534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1189", "improvement_over_parent": null }, "node_1191": { "node_id": "node_1191", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1190", "improvement_over_parent": null }, "node_1192": { "node_id": "node_1192", "content": "INITIAL DESIGN (Trace 170)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1193": { "node_id": "node_1193", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n\nPerformance:\n Mass: 113.13 kg\n Factor of Safety: 0.11\n Max Deflection: 3.13e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.12607098896379, "fos_buckling": 0.114967483475169, "fos_yielding": 0.7722742234278833, "deflection": 31343826871939.74, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002037)" }, "parent_node_id": "node_1192", "improvement_over_parent": null }, "node_1194": { "node_id": "node_1194", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 146.98 kg\n Factor of Safety: 0.92\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.98396191732763, "fos_buckling": 0.9189402007192455, "fos_yielding": 4.816772892331378, "deflection": 0.002110321024732837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1193", "improvement_over_parent": null }, "node_1195": { "node_id": "node_1195", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 163.23 kg\n Factor of Safety: 0.92\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.22930815832473, "fos_buckling": 0.9159042154410914, "fos_yielding": 4.808102606278288, "deflection": 0.002049960101005766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1194", "improvement_over_parent": null }, "node_1196": { "node_id": "node_1196", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 180.84 kg\n Factor of Safety: 0.92\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.83791392831353, "fos_buckling": 0.9168463138210549, "fos_yielding": 4.803416700816725, "deflection": 0.0019557246722917026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1195", "improvement_over_parent": null }, "node_1197": { "node_id": "node_1197", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 202.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.08630543523014, "fos_buckling": 1.5500763221799878, "fos_yielding": 6.311975924310592, "deflection": 0.001494340973871439, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1196", "improvement_over_parent": null }, "node_1198": { "node_id": "node_1198", "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M11: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 205.94 kg\n Factor of Safety: 1.50\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.93907819764274, "fos_buckling": 1.4994721585069155, "fos_yielding": 6.316263235789627, "deflection": 0.0014821957646622987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.395)" }, "parent_node_id": "node_1197", "improvement_over_parent": null }, "node_1199": { "node_id": "node_1199", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1198", "improvement_over_parent": null }, "node_1200": { "node_id": "node_1200", "content": "INITIAL DESIGN (Trace 171)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 143.50 kg\n Factor of Safety: 1.03\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.50097055929274, "fos_buckling": 1.0288360760155508, "fos_yielding": 4.017909972233671, "deflection": 0.002104914782132696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1201": { "node_id": "node_1201", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 170.31 kg\n Factor of Safety: 1.19\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3073178246221, "fos_buckling": 1.1874608396674176, "fos_yielding": 4.754690957551646, "deflection": 0.0017792232557103265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.203)" }, "parent_node_id": "node_1200", "improvement_over_parent": null }, "node_1202": { "node_id": "node_1202", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 185.03 kg\n Factor of Safety: 1.43\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.02740118016078, "fos_buckling": 1.4332267355012884, "fos_yielding": 5.7387578366945045, "deflection": 0.0016404332583577533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003337)" }, "parent_node_id": "node_1201", "improvement_over_parent": null }, "node_1203": { "node_id": "node_1203", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.22007191853626, "fos_buckling": 1.5524529258061288, "fos_yielding": 6.321529007384708, "deflection": 0.0014895359045519667, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1202", "improvement_over_parent": null }, "node_1204": { "node_id": "node_1204", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1203", "improvement_over_parent": null }, "node_1205": { "node_id": "node_1205", "content": "INITIAL DESIGN (Trace 172)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 137.33 kg\n Factor of Safety: 0.68\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.32588263105924, "fos_buckling": 0.6792124676920505, "fos_yielding": 4.331485122486185, "deflection": 0.0024555840404671455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1206": { "node_id": "node_1206", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 175.97 kg\n Factor of Safety: 0.83\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.9748568374143, "fos_buckling": 0.8342469685541702, "fos_yielding": 5.528103340648009, "deflection": 0.001925748958705379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1205", "improvement_over_parent": null }, "node_1207": { "node_id": "node_1207", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 179.80 kg\n Factor of Safety: 0.83\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.8013435260986, "fos_buckling": 0.8338997978238555, "fos_yielding": 5.566438998477585, "deflection": 0.0019141242770916549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.385)" }, "parent_node_id": "node_1206", "improvement_over_parent": null }, "node_1208": { "node_id": "node_1208", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.77 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.76543418361024, "fos_buckling": 0.9065426205049513, "fos_yielding": 6.160230379158724, "deflection": 0.0017270041984460598, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_1207", "improvement_over_parent": null }, "node_1209": { "node_id": "node_1209", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9168092305321, "fos_buckling": 1.5505732381388053, "fos_yielding": 6.31208407500441, "deflection": 0.0014917669750608006, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1208", "improvement_over_parent": null }, "node_1210": { "node_id": "node_1210", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1209", "improvement_over_parent": null }, "node_1211": { "node_id": "node_1211", "content": "INITIAL DESIGN (Trace 173)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 110.98 kg\n Factor of Safety: 0.45\n Max Deflection: 3.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.97975441630807, "fos_buckling": 0.4547218358072203, "fos_yielding": 3.287074916570873, "deflection": 0.003216589086976416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1212": { "node_id": "node_1212", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 123.24 kg\n Factor of Safety: 1.01\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.24081662286171, "fos_buckling": 1.0122924743060926, "fos_yielding": 3.8468493990462838, "deflection": 0.002445448335763848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002417)" }, "parent_node_id": "node_1211", "improvement_over_parent": null }, "node_1213": { "node_id": "node_1213", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 159.80 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.80091065094533, "fos_buckling": 1.268229202496834, "fos_yielding": 4.969198119344018, "deflection": 0.0018939285199468586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1212", "improvement_over_parent": null }, "node_1214": { "node_id": "node_1214", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20073949005467, "fos_buckling": 1.5523239963657303, "fos_yielding": 6.3208679641935435, "deflection": 0.0014896949490789135, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1213", "improvement_over_parent": null }, "node_1215": { "node_id": "node_1215", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1214", "improvement_over_parent": null }, "node_1216": { "node_id": "node_1216", "content": "INITIAL DESIGN (Trace 174)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 129.88 kg\n Factor of Safety: 0.61\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.8786279696678, "fos_buckling": 0.6096985717926071, "fos_yielding": 3.9800387392297876, "deflection": 0.002730760852141261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1217": { "node_id": "node_1217", "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.61\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.89594310951423, "fos_buckling": 0.6100203223618713, "fos_yielding": 3.9780355789526514, "deflection": 0.002607554709711005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.330)" }, "parent_node_id": "node_1216", "improvement_over_parent": null }, "node_1218": { "node_id": "node_1218", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 147.41 kg\n Factor of Safety: 0.61\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.41087876729898, "fos_buckling": 0.610536963872253, "fos_yielding": 3.974827685797995, "deflection": 0.002484042865709665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003136)" }, "parent_node_id": "node_1217", "improvement_over_parent": null }, "node_1219": { "node_id": "node_1219", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 164.93 kg\n Factor of Safety: 1.14\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.9273311446276, "fos_buckling": 1.1414535733601752, "fos_yielding": 5.121407933568511, "deflection": 0.001837190343787542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003445)" }, "parent_node_id": "node_1218", "improvement_over_parent": null }, "node_1220": { "node_id": "node_1220", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 1.36\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.2737252738, "fos_buckling": 1.363225874282759, "fos_yielding": 6.197972817389031, "deflection": 0.0015187112116779697, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_1219", "improvement_over_parent": null }, "node_1221": { "node_id": "node_1221", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.32812831509926, "fos_buckling": 1.5530549447037763, "fos_yielding": 6.32456629138692, "deflection": 0.0014888077509370493, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.453)" }, "parent_node_id": "node_1220", "improvement_over_parent": null }, "node_1222": { "node_id": "node_1222", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1221", "improvement_over_parent": null }, "node_1223": { "node_id": "node_1223", "content": "INITIAL DESIGN (Trace 175)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 126.88 kg\n Factor of Safety: 0.85\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.88245438233412, "fos_buckling": 0.8453536218975465, "fos_yielding": 4.094414760418956, "deflection": 0.002320637632844737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1224": { "node_id": "node_1224", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 164.12 kg\n Factor of Safety: 1.08\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.12168767586053, "fos_buckling": 1.0754759965383516, "fos_yielding": 5.274648402138207, "deflection": 0.001801592922399756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_1223", "improvement_over_parent": null }, "node_1225": { "node_id": "node_1225", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.40 kg\n Factor of Safety: 1.23\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.39760792078448, "fos_buckling": 1.2327830265539743, "fos_yielding": 6.1015601316153525, "deflection": 0.0015575531522269773, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1224", "improvement_over_parent": null }, "node_1226": { "node_id": "node_1226", "content": "MODIFICATION: Increase 13 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.08 kg\n Factor of Safety: 1.51\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.07946611857204, "fos_buckling": 1.5053068487941643, "fos_yielding": 6.128776585145035, "deflection": 0.0015089942671627848, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.621)" }, "parent_node_id": "node_1225", "improvement_over_parent": null }, "node_1227": { "node_id": "node_1227", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07401290478063, "fos_buckling": 1.5515487663651533, "fos_yielding": 6.317048087323019, "deflection": 0.0014905550197721786, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.642)" }, "parent_node_id": "node_1226", "improvement_over_parent": null }, "node_1228": { "node_id": "node_1228", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1227", "improvement_over_parent": null }, "node_1229": { "node_id": "node_1229", "content": "INITIAL DESIGN (Trace 176)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 96.44 kg\n Factor of Safety: 0.24\n Max Deflection: 4.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.44427430927952, "fos_buckling": 0.23535709622839646, "fos_yielding": 2.920918145270433, "deflection": 0.004370193837110603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1230": { "node_id": "node_1230", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n\nPerformance:\n Mass: 109.48 kg\n Factor of Safety: 0.40\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.47715042808716, "fos_buckling": 0.39846740733881075, "fos_yielding": 3.339616549072348, "deflection": 0.0033234526717529312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002514)" }, "parent_node_id": "node_1229", "improvement_over_parent": null }, "node_1231": { "node_id": "node_1231", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 123.00 kg\n Factor of Safety: 0.44\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.99979879675722, "fos_buckling": 0.44181193952470266, "fos_yielding": 3.741245290535814, "deflection": 0.0029663161572998703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_1230", "improvement_over_parent": null }, "node_1232": { "node_id": "node_1232", "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 124.21 kg\n Factor of Safety: 0.51\n Max Deflection: 2.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.21461335153118, "fos_buckling": 0.5101156138604311, "fos_yielding": 3.741245290535813, "deflection": 0.0028435654121143333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.199)" }, "parent_node_id": "node_1231", "improvement_over_parent": null }, "node_1233": { "node_id": "node_1233", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 126.67 kg\n Factor of Safety: 0.51\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.67352107898031, "fos_buckling": 0.50997772286928, "fos_yielding": 3.7402339824965494, "deflection": 0.0028274146031171308, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.299)" }, "parent_node_id": "node_1232", "improvement_over_parent": null }, "node_1234": { "node_id": "node_1234", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 143.68 kg\n Factor of Safety: 0.57\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.68276039091023, "fos_buckling": 0.5674095302698553, "fos_yielding": 4.228236827057643, "deflection": 0.0025017919064197957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1233", "improvement_over_parent": null }, "node_1235": { "node_id": "node_1235", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 183.87 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.8669251338866, "fos_buckling": 0.6930773931696559, "fos_yielding": 5.368245827394376, "deflection": 0.001971803008503223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1234", "improvement_over_parent": null }, "node_1236": { "node_id": "node_1236", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17711235728956, "fos_buckling": 1.5521793362397824, "fos_yielding": 6.320158107904826, "deflection": 0.001489853231460906, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1235", "improvement_over_parent": null }, "node_1237": { "node_id": "node_1237", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1236", "improvement_over_parent": null }, "node_1238": { "node_id": "node_1238", "content": "INITIAL DESIGN (Trace 177)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 95.61 kg\n Factor of Safety: 0.76\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.60964863777436, "fos_buckling": 0.7590249425067828, "fos_yielding": 3.07257982185923, "deflection": 0.0030990930008458913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1239": { "node_id": "node_1239", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 112.30 kg\n Factor of Safety: 0.88\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.30156387768562, "fos_buckling": 0.8820144098540788, "fos_yielding": 3.6022631661674085, "deflection": 0.0026435974773511978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_1238", "improvement_over_parent": null }, "node_1240": { "node_id": "node_1240", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 132.25 kg\n Factor of Safety: 1.03\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.25250112424305, "fos_buckling": 1.025262620605478, "fos_yielding": 4.232743585476828, "deflection": 0.0022500217494317324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_1239", "improvement_over_parent": null }, "node_1241": { "node_id": "node_1241", "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 133.95 kg\n Factor of Safety: 1.00\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.9455669027741, "fos_buckling": 0.9980218819284621, "fos_yielding": 4.238917017970994, "deflection": 0.0022430310430556866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.504)" }, "parent_node_id": "node_1240", "improvement_over_parent": null }, "node_1242": { "node_id": "node_1242", "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 136.30 kg\n Factor of Safety: 1.11\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.30178677517685, "fos_buckling": 1.105994028182449, "fos_yielding": 4.2486525900207495, "deflection": 0.0022144755084210575, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.211)" }, "parent_node_id": "node_1241", "improvement_over_parent": null }, "node_1243": { "node_id": "node_1243", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 177.01 kg\n Factor of Safety: 1.38\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.0088283440118, "fos_buckling": 1.3817608742827776, "fos_yielding": 5.494367326504459, "deflection": 0.0017132128357526298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1242", "improvement_over_parent": null }, "node_1244": { "node_id": "node_1244", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.92 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.92032659197406, "fos_buckling": 1.5505852534019966, "fos_yielding": 6.312185225049364, "deflection": 0.0014917122909942678, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1243", "improvement_over_parent": null }, "node_1245": { "node_id": "node_1245", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1244", "improvement_over_parent": null }, "node_1246": { "node_id": "node_1246", "content": "INITIAL DESIGN (Trace 178)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1247": { "node_id": "node_1247", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.33769492890536, "fos_buckling": 1.2843027431833476, "fos_yielding": 5.229381036551124, "deflection": 0.001617609605395345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1246", "improvement_over_parent": null }, "node_1248": { "node_id": "node_1248", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1685656127388, "fos_buckling": 1.5521400861797374, "fos_yielding": 6.319952188703222, "deflection": 0.00148991620187232, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1247", "improvement_over_parent": null }, "node_1249": { "node_id": "node_1249", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1248", "improvement_over_parent": null }, "node_1250": { "node_id": "node_1250", "content": "INITIAL DESIGN (Trace 179)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 109.73 kg\n Factor of Safety: 0.51\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.73335875471933, "fos_buckling": 0.5094971006682809, "fos_yielding": 3.4392024860101507, "deflection": 0.0027683230164588513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1251": { "node_id": "node_1251", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 113.89 kg\n Factor of Safety: 0.71\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.88866889911642, "fos_buckling": 0.7077807992584897, "fos_yielding": 3.4368145602062823, "deflection": 0.0026052265166575245, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.460)" }, "parent_node_id": "node_1250", "improvement_over_parent": null }, "node_1252": { "node_id": "node_1252", "content": "MODIFICATION: Increase 5 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 114.91 kg\n Factor of Safety: 0.71\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.90862121214433, "fos_buckling": 0.707862020033614, "fos_yielding": 3.4366193288015547, "deflection": 0.0025824611624233563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.650)" }, "parent_node_id": "node_1251", "improvement_over_parent": null }, "node_1253": { "node_id": "node_1253", "content": "MODIFICATION: Increase 13 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 119.29 kg\n Factor of Safety: 0.71\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.29082189021862, "fos_buckling": 0.7082111953499443, "fos_yielding": 3.4357807740595625, "deflection": 0.0025159774349734223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.664)" }, "parent_node_id": "node_1252", "improvement_over_parent": null }, "node_1254": { "node_id": "node_1254", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0023)]\n\nPerformance:\n Mass: 129.35 kg\n Factor of Safety: 1.06\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.34792145020452, "fos_buckling": 1.0558947209629468, "fos_yielding": 4.0406210775591225, "deflection": 0.0023062205132987437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002271)" }, "parent_node_id": "node_1253", "improvement_over_parent": null }, "node_1255": { "node_id": "node_1255", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 154.86 kg\n Factor of Safety: 1.23\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.85623800928988, "fos_buckling": 1.233659303911599, "fos_yielding": 4.824757670038452, "deflection": 0.0019322116154011188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1254", "improvement_over_parent": null }, "node_1256": { "node_id": "node_1256", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 157.62 kg\n Factor of Safety: 1.25\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.61616898460235, "fos_buckling": 1.2534790732825027, "fos_yielding": 4.902271440645512, "deflection": 0.0019197514667602046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.302)" }, "parent_node_id": "node_1255", "improvement_over_parent": null }, "node_1257": { "node_id": "node_1257", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.28317130558378, "fos_buckling": 1.552807134602719, "fos_yielding": 6.323245317846446, "deflection": 0.0014891481561227628, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1256", "improvement_over_parent": null }, "node_1258": { "node_id": "node_1258", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1257", "improvement_over_parent": null }, "node_1259": { "node_id": "node_1259", "content": "INITIAL DESIGN (Trace 180)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 147.00 kg\n Factor of Safety: 0.03\n Max Deflection: 7.21e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.99615803754864, "fos_buckling": 0.02655009202264098, "fos_yielding": 0.1996680021934373, "deflection": 72102601410015.97, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1260": { "node_id": "node_1260", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 164.60 kg\n Factor of Safety: 0.40\n Max Deflection: 2.83e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.60476380753744, "fos_buckling": 0.3953029996742558, "fos_yielding": 2.0807795792362778, "deflection": 2826292970834.2964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1259", "improvement_over_parent": null }, "node_1261": { "node_id": "node_1261", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 168.44 kg\n Factor of Safety: 0.30\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.43563449137088, "fos_buckling": 0.3006659986562418, "fos_yielding": 2.5233746109721005, "deflection": 0.004455061934311471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1260", "improvement_over_parent": null }, "node_1262": { "node_id": "node_1262", "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 169.81 kg\n Factor of Safety: 0.30\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.8115189341337, "fos_buckling": 0.3006430974375555, "fos_yielding": 2.523182409811838, "deflection": 0.0044474498086080625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.379)" }, "parent_node_id": "node_1261", "improvement_over_parent": null }, "node_1263": { "node_id": "node_1263", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 1.27\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.66940986249753, "fos_buckling": 1.2677850753261724, "fos_yielding": 5.339853803860516, "deflection": 0.0015278220581814797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1262", "improvement_over_parent": null }, "node_1264": { "node_id": "node_1264", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1263", "improvement_over_parent": null }, "node_1265": { "node_id": "node_1265", "content": "INITIAL DESIGN (Trace 181)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 105.01 kg\n Factor of Safety: 0.07\n Max Deflection: 1.81e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.01054243815008, "fos_buckling": 0.06552782339140405, "fos_yielding": 0.5886561393006781, "deflection": 18131183471588.605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1266": { "node_id": "node_1266", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 135.17 kg\n Factor of Safety: 0.08\n Max Deflection: 3.45e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.17070308247858, "fos_buckling": 0.08060397881595753, "fos_yielding": 0.4522686250403887, "deflection": 34482388007867.133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1265", "improvement_over_parent": null }, "node_1267": { "node_id": "node_1267", "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 138.51 kg\n Factor of Safety: 0.69\n Max Deflection: 8.50e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.50754379560294, "fos_buckling": 0.6886606060221165, "fos_yielding": 2.2990298234491515, "deflection": 8495935911810.511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.299)" }, "parent_node_id": "node_1266", "improvement_over_parent": null }, "node_1268": { "node_id": "node_1268", "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 141.94 kg\n Factor of Safety: 0.38\n Max Deflection: 5.27e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.93985067513458, "fos_buckling": 0.37870505786402553, "fos_yielding": 2.815867824988818, "deflection": 5268244142597.4795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.546)" }, "parent_node_id": "node_1267", "improvement_over_parent": null }, "node_1269": { "node_id": "node_1269", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 175.80 kg\n Factor of Safety: 1.12\n Max Deflection: 1.86e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.79774160349842, "fos_buckling": 1.1208964704957698, "fos_yielding": 6.073494888816061, "deflection": 1862000721169.0684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1268", "improvement_over_parent": null }, "node_1270": { "node_id": "node_1270", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.11 kg\n Factor of Safety: 0.91\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.10792882690137, "fos_buckling": 0.9078365778686568, "fos_yielding": 5.227408994290325, "deflection": 0.0018395318867160994, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1269", "improvement_over_parent": null }, "node_1271": { "node_id": "node_1271", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 200.26 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.25930387382323, "fos_buckling": 1.2842283609236504, "fos_yielding": 5.2262118908258115, "deflection": 0.001618153481045857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1270", "improvement_over_parent": null }, "node_1272": { "node_id": "node_1272", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09017455765667, "fos_buckling": 1.5519957112478666, "fos_yielding": 6.315900417275146, "deflection": 0.0014904674523384235, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1271", "improvement_over_parent": null }, "node_1273": { "node_id": "node_1273", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1272", "improvement_over_parent": null }, "node_1274": { "node_id": "node_1274", "content": "INITIAL DESIGN (Trace 182)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 104.81 kg\n Factor of Safety: 0.21\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.80633265401319, "fos_buckling": 0.20879825581336792, "fos_yielding": 1.6478332744466408, "deflection": 0.007280708407732667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1275": { "node_id": "node_1275", "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 107.45 kg\n Factor of Safety: 0.21\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.44697859402616, "fos_buckling": 0.2086753698038496, "fos_yielding": 1.646863459566438, "deflection": 0.006828161870776659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.439)" }, "parent_node_id": "node_1274", "improvement_over_parent": null }, "node_1276": { "node_id": "node_1276", "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 109.62 kg\n Factor of Safety: 0.21\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.61974719021863, "fos_buckling": 0.20865010956213703, "fos_yielding": 1.6466641060486016, "deflection": 0.006809395796205114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.209)" }, "parent_node_id": "node_1275", "improvement_over_parent": null }, "node_1277": { "node_id": "node_1277", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 124.93 kg\n Factor of Safety: 0.23\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.92505215757305, "fos_buckling": 0.23373420759233754, "fos_yielding": 1.8733789327383392, "deflection": 0.005985057272381391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.149)" }, "parent_node_id": "node_1276", "improvement_over_parent": null }, "node_1278": { "node_id": "node_1278", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 140.00 kg\n Factor of Safety: 0.26\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.0007420025101, "fos_buckling": 0.2574873319116012, "fos_yielding": 2.095934328689756, "deflection": 0.005349293328221927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_1277", "improvement_over_parent": null }, "node_1279": { "node_id": "node_1279", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 168.96 kg\n Factor of Safety: 0.30\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.96142428084966, "fos_buckling": 0.30047682801896497, "fos_yielding": 2.521363408817052, "deflection": 0.0044463022262841235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1278", "improvement_over_parent": null }, "node_1280": { "node_id": "node_1280", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 202.82 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.8193152092135, "fos_buckling": 1.3787956909127161, "fos_yielding": 5.895181537606256, "deflection": 0.0015168272048015324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1279", "improvement_over_parent": null }, "node_1281": { "node_id": "node_1281", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.05878913971017, "fos_buckling": 1.5519815419835605, "fos_yielding": 6.315472895165852, "deflection": 0.001490603656796466, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.225)" }, "parent_node_id": "node_1280", "improvement_over_parent": null }, "node_1282": { "node_id": "node_1282", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1281", "improvement_over_parent": null }, "node_1283": { "node_id": "node_1283", "content": "INITIAL DESIGN (Trace 183)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 153.21 kg\n Factor of Safety: 1.06\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.20898833659675, "fos_buckling": 1.062941798736853, "fos_yielding": 4.172979559474769, "deflection": 0.0020385269671238317, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1284": { "node_id": "node_1284", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 156.25 kg\n Factor of Safety: 1.18\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.2505945135395, "fos_buckling": 1.1812713064443174, "fos_yielding": 4.850620231863024, "deflection": 0.001916352367917536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001878)" }, "parent_node_id": "node_1283", "improvement_over_parent": null }, "node_1285": { "node_id": "node_1285", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 196.93 kg\n Factor of Safety: 1.45\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.92587374971083, "fos_buckling": 1.4541204666999785, "fos_yielding": 6.088453327856336, "deflection": 0.0015276888615025285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1284", "improvement_over_parent": null }, "node_1286": { "node_id": "node_1286", "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 202.35 kg\n Factor of Safety: 1.29\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.3522153512655, "fos_buckling": 1.2929732679431576, "fos_yielding": 6.21057994195056, "deflection": 0.0014955374508480238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.590)" }, "parent_node_id": "node_1285", "improvement_over_parent": null }, "node_1287": { "node_id": "node_1287", "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0043)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0039)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 205.03 kg\n Factor of Safety: 1.29\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.0259495534809, "fos_buckling": 1.2857840153692883, "fos_yielding": 6.215138496743087, "deflection": 0.0014922306068770824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.389)" }, "parent_node_id": "node_1286", "improvement_over_parent": null }, "node_1288": { "node_id": "node_1288", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1287", "improvement_over_parent": null }, "node_1289": { "node_id": "node_1289", "content": "INITIAL DESIGN (Trace 184)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 120.12 kg\n Factor of Safety: 0.53\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.11706846904744, "fos_buckling": 0.5276143955236758, "fos_yielding": 3.8000909770386584, "deflection": 0.0027016003806647226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1290": { "node_id": "node_1290", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 134.62 kg\n Factor of Safety: 0.77\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.61732434006908, "fos_buckling": 0.7744250084072026, "fos_yielding": 3.7970277497816647, "deflection": 0.002257620192450578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002887)" }, "parent_node_id": "node_1289", "improvement_over_parent": null }, "node_1291": { "node_id": "node_1291", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.85\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.52996596062917, "fos_buckling": 0.8532175235047179, "fos_yielding": 4.238869439406575, "deflection": 0.0020224686298282663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_1290", "improvement_over_parent": null }, "node_1292": { "node_id": "node_1292", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.51 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.5109522653494, "fos_buckling": 1.0304208923849605, "fos_yielding": 5.287617871340721, "deflection": 0.001621660794016389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_1291", "improvement_over_parent": null }, "node_1293": { "node_id": "node_1293", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1057723357432, "fos_buckling": 1.5516987545924388, "fos_yielding": 6.317755067736118, "deflection": 0.001490403504405797, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1292", "improvement_over_parent": null }, "node_1294": { "node_id": "node_1294", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1293", "improvement_over_parent": null }, "node_1295": { "node_id": "node_1295", "content": "INITIAL DESIGN (Trace 185)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 115.49 kg\n Factor of Safety: 0.79\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.4908674944241, "fos_buckling": 0.7917036637621171, "fos_yielding": 3.6251850617887844, "deflection": 0.002607241318463916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1296": { "node_id": "node_1296", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 116.09 kg\n Factor of Safety: 0.96\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.09241061872095, "fos_buckling": 0.9599152940375694, "fos_yielding": 3.626443889553545, "deflection": 0.002593873907223175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.359)" }, "parent_node_id": "node_1295", "improvement_over_parent": null }, "node_1297": { "node_id": "node_1297", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 144.36 kg\n Factor of Safety: 1.16\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.3555534596351, "fos_buckling": 1.1625547326233407, "fos_yielding": 4.496126353032168, "deflection": 0.0020928379360427634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_1296", "improvement_over_parent": null }, "node_1298": { "node_id": "node_1298", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 178.75 kg\n Factor of Safety: 1.39\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.75185431223065, "fos_buckling": 1.3930644148793132, "fos_yielding": 5.547692773713095, "deflection": 0.001696821268292048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1297", "improvement_over_parent": null }, "node_1299": { "node_id": "node_1299", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13336039190276, "fos_buckling": 1.551927248316054, "fos_yielding": 6.318887362151899, "deflection": 0.0014901697381185354, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1298", "improvement_over_parent": null }, "node_1300": { "node_id": "node_1300", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1299", "improvement_over_parent": null }, "node_1301": { "node_id": "node_1301", "content": "INITIAL DESIGN (Trace 186)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 145.86 kg\n Factor of Safety: 0.82\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.86183554668378, "fos_buckling": 0.8158258962619098, "fos_yielding": 4.397647642313466, "deflection": 0.0024430350427583976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1302": { "node_id": "node_1302", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 155.44 kg\n Factor of Safety: 0.81\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.4412552077833, "fos_buckling": 0.8141164402229704, "fos_yielding": 5.392188526293556, "deflection": 0.002034789990614369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002530)" }, "parent_node_id": "node_1301", "improvement_over_parent": null }, "node_1303": { "node_id": "node_1303", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 157.15 kg\n Factor of Safety: 0.81\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.14669863134216, "fos_buckling": 0.8135094926378127, "fos_yielding": 5.4006659545093685, "deflection": 0.002007237807781009, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.277)" }, "parent_node_id": "node_1302", "improvement_over_parent": null }, "node_1304": { "node_id": "node_1304", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0053)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 164.61 kg\n Factor of Safety: 0.81\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.6145360752428, "fos_buckling": 0.8115225558040311, "fos_yielding": 5.387475226916046, "deflection": 0.0019757750627587504, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.456)" }, "parent_node_id": "node_1303", "improvement_over_parent": null }, "node_1305": { "node_id": "node_1305", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0062)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n\nPerformance:\n Mass: 189.48 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.48214878863413, "fos_buckling": 0.9086392537708415, "fos_yielding": 6.175712153333098, "deflection": 0.0017208388841086853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1304", "improvement_over_parent": null }, "node_1306": { "node_id": "node_1306", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0036)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0062)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 207.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.09075455862296, "fos_buckling": 1.546412784029754, "fos_yielding": 5.977252925277566, "deflection": 0.0014816422710171595, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1305", "improvement_over_parent": null }, "node_1307": { "node_id": "node_1307", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1306", "improvement_over_parent": null }, "node_1308": { "node_id": "node_1308", "content": "INITIAL DESIGN (Trace 187)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n\nPerformance:\n Mass: 85.37 kg\n Factor of Safety: 0.38\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 85.36513805340341, "fos_buckling": 0.38249058962578164, "fos_yielding": 2.386686816065739, "deflection": 0.004219976677214279, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1309": { "node_id": "node_1309", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 111.12 kg\n Factor of Safety: 0.48\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.11713820096972, "fos_buckling": 0.48272774953619046, "fos_yielding": 3.1024543223075582, "deflection": 0.003251557061327456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_1308", "improvement_over_parent": null }, "node_1310": { "node_id": "node_1310", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 133.19 kg\n Factor of Safety: 0.56\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.1893184225575, "fos_buckling": 0.5632220114492585, "fos_yielding": 3.7147175586468295, "deflection": 0.002719484216538385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_1309", "improvement_over_parent": null }, "node_1311": { "node_id": "node_1311", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 172.58 kg\n Factor of Safety: 0.69\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.58241354910137, "fos_buckling": 0.6946999878306837, "fos_yielding": 4.805237067545603, "deflection": 0.0021079282429683033, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.323)" }, "parent_node_id": "node_1310", "improvement_over_parent": null }, "node_1312": { "node_id": "node_1312", "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 0.69\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.06086778851858, "fos_buckling": 0.6943646957625801, "fos_yielding": 5.379170530306372, "deflection": 0.0020611309828931198, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.247)" }, "parent_node_id": "node_1311", "improvement_over_parent": null }, "node_1313": { "node_id": "node_1313", "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 184.04 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.04154277788973, "fos_buckling": 0.6936113870776045, "fos_yielding": 5.373334726868824, "deflection": 0.0019700513863580753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.458)" }, "parent_node_id": "node_1312", "improvement_over_parent": null }, "node_1314": { "node_id": "node_1314", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.35 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.35173000129268, "fos_buckling": 1.5532164232903558, "fos_yielding": 6.326522980188187, "deflection": 0.001488561803178701, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1313", "improvement_over_parent": null }, "node_1315": { "node_id": "node_1315", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1314", "improvement_over_parent": null }, "node_1316": { "node_id": "node_1316", "content": "INITIAL DESIGN (Trace 188)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 146.59 kg\n Factor of Safety: 0.30\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.58727999636906, "fos_buckling": 0.30091628352981614, "fos_yielding": 2.525357988223207, "deflection": 0.004851978037705229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1317": { "node_id": "node_1317", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 166.90 kg\n Factor of Safety: 0.30\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.897467219772, "fos_buckling": 0.30057802417959717, "fos_yielding": 2.5225192387140534, "deflection": 0.004450146384847104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1316", "improvement_over_parent": null }, "node_1318": { "node_id": "node_1318", "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.30 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.30034496300345, "fos_buckling": 0.30057802417959717, "fos_yielding": 2.5225192387140534, "deflection": 0.0044275616298205134, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.481)" }, "parent_node_id": "node_1317", "improvement_over_parent": null }, "node_1319": { "node_id": "node_1319", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1582358913673, "fos_buckling": 1.5520474629865677, "fos_yielding": 6.320002492510201, "deflection": 0.001489971955768487, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1318", "improvement_over_parent": null }, "node_1320": { "node_id": "node_1320", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1319", "improvement_over_parent": null }, "node_1321": { "node_id": "node_1321", "content": "INITIAL DESIGN (Trace 189)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 93.05 kg\n Factor of Safety: 0.10\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.04721618787805, "fos_buckling": 0.09550359577865085, "fos_yielding": 1.0479310909651747, "deflection": 12950075348862.395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1322": { "node_id": "node_1322", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 119.73 kg\n Factor of Safety: 0.56\n Max Deflection: 5.79e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.72603602337117, "fos_buckling": 0.5626551417251395, "fos_yielding": 2.9278960181115763, "deflection": 5785126829612.867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_1321", "improvement_over_parent": null }, "node_1323": { "node_id": "node_1323", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 155.18 kg\n Factor of Safety: 0.15\n Max Deflection: 1.97e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.17813227479556, "fos_buckling": 0.1526668821697674, "fos_yielding": 1.1495149117245758, "deflection": 19737096829617.195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_1322", "improvement_over_parent": null }, "node_1324": { "node_id": "node_1324", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 176.43 kg\n Factor of Safety: 0.51\n Max Deflection: 5.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.42652378171218, "fos_buckling": 0.5071989367701835, "fos_yielding": 2.3365562047755724, "deflection": 0.005897548523630332, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1323", "improvement_over_parent": null }, "node_1325": { "node_id": "node_1325", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 180.58 kg\n Factor of Safety: 0.51\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.57789882863403, "fos_buckling": 0.5070824860836631, "fos_yielding": 3.505797792535971, "deflection": 0.004448273069800368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1324", "improvement_over_parent": null }, "node_1326": { "node_id": "node_1326", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 187.87 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.873424881837, "fos_buckling": 1.285723285372515, "fos_yielding": 5.23485427687666, "deflection": 0.0016162071696104638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1325", "improvement_over_parent": null }, "node_1327": { "node_id": "node_1327", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11877112283406, "fos_buckling": 1.5517608246385384, "fos_yielding": 6.318032722877179, "deflection": 0.001490281222533638, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1326", "improvement_over_parent": null }, "node_1328": { "node_id": "node_1328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1327", "improvement_over_parent": null }, "node_1329": { "node_id": "node_1329", "content": "INITIAL DESIGN (Trace 190)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 150.84 kg\n Factor of Safety: 0.92\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.84005265978809, "fos_buckling": 0.9243012446373671, "fos_yielding": 4.6055796059357705, "deflection": 0.002051885752851949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1330": { "node_id": "node_1330", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0031)]\n\nPerformance:\n Mass: 164.49 kg\n Factor of Safety: 1.15\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.48982455407872, "fos_buckling": 1.1539133814958957, "fos_yielding": 4.5951355020326305, "deflection": 0.0018408908341667589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003149)" }, "parent_node_id": "node_1329", "improvement_over_parent": null }, "node_1331": { "node_id": "node_1331", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 178.71 kg\n Factor of Safety: 1.39\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.70959100476193, "fos_buckling": 1.3927847644931062, "fos_yielding": 5.546373601903836, "deflection": 0.0016972171161316384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003214)" }, "parent_node_id": "node_1330", "improvement_over_parent": null }, "node_1332": { "node_id": "node_1332", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08577775077438, "fos_buckling": 1.5516305364295702, "fos_yielding": 6.3174098760763435, "deflection": 0.0014905114347860545, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1331", "improvement_over_parent": null }, "node_1333": { "node_id": "node_1333", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1332", "improvement_over_parent": null }, "node_1334": { "node_id": "node_1334", "content": "INITIAL DESIGN (Trace 191)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 125.04 kg\n Factor of Safety: 0.75\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.03578089927615, "fos_buckling": 0.753579720352835, "fos_yielding": 3.6451633655668094, "deflection": 0.0026181031300000707, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1335": { "node_id": "node_1335", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 139.67 kg\n Factor of Safety: 0.83\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.6680776253001, "fos_buckling": 0.8304308354741438, "fos_yielding": 4.065990518197583, "deflection": 0.0023472195832481744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1334", "improvement_over_parent": null }, "node_1336": { "node_id": "node_1336", "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 142.51 kg\n Factor of Safety: 0.83\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.5070834266403, "fos_buckling": 0.8308512907587946, "fos_yielding": 4.064975667829722, "deflection": 0.002347710720909344, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.332)" }, "parent_node_id": "node_1335", "improvement_over_parent": null }, "node_1337": { "node_id": "node_1337", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 0.92\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.05542602254673, "fos_buckling": 0.9183708168594987, "fos_yielding": 4.558472210881452, "deflection": 0.0020936102621274743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_1336", "improvement_over_parent": null }, "node_1338": { "node_id": "node_1338", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 161.44 kg\n Factor of Safety: 0.93\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.4393240812343, "fos_buckling": 0.9280182980464384, "fos_yielding": 4.5342339317348594, "deflection": 0.0020701572311879702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.305)" }, "parent_node_id": "node_1337", "improvement_over_parent": null }, "node_1339": { "node_id": "node_1339", "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 164.21 kg\n Factor of Safety: 0.93\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.20950336881742, "fos_buckling": 0.9277468884280009, "fos_yielding": 4.5348763721604355, "deflection": 0.002070163228863589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.488)" }, "parent_node_id": "node_1338", "improvement_over_parent": null }, "node_1340": { "node_id": "node_1340", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 176.18 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.17713777860615, "fos_buckling": 1.3763764891118202, "fos_yielding": 5.469077468882785, "deflection": 0.0017212196397102615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003212)" }, "parent_node_id": "node_1339", "improvement_over_parent": null }, "node_1341": { "node_id": "node_1341", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24159074754692, "fos_buckling": 1.552537576867449, "fos_yielding": 6.321984973304542, "deflection": 0.00148949182296444, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_1340", "improvement_over_parent": null }, "node_1342": { "node_id": "node_1342", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1341", "improvement_over_parent": null }, "node_1343": { "node_id": "node_1343", "content": "INITIAL DESIGN (Trace 192)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1344": { "node_id": "node_1344", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 132.82 kg\n Factor of Safety: 0.31\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.81611332996476, "fos_buckling": 0.3053156329305, "fos_yielding": 2.282741319074645, "deflection": 10619404254156.973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1343", "improvement_over_parent": null }, "node_1345": { "node_id": "node_1345", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n\nPerformance:\n Mass: 158.85 kg\n Factor of Safety: 1.03\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.84986390822164, "fos_buckling": 1.0345445035026262, "fos_yielding": 4.815135768059673, "deflection": 0.002194292101329384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004035)" }, "parent_node_id": "node_1344", "improvement_over_parent": null }, "node_1346": { "node_id": "node_1346", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 175.10 kg\n Factor of Safety: 0.87\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.0952101492187, "fos_buckling": 0.8663375676127979, "fos_yielding": 4.806471369416061, "deflection": 0.0020857166241042067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1345", "improvement_over_parent": null }, "node_1347": { "node_id": "node_1347", "content": "MODIFICATION: Increase 10 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 180.20 kg\n Factor of Safety: 0.87\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.20305033162225, "fos_buckling": 0.8665719173558573, "fos_yielding": 4.805112080600564, "deflection": 0.002080519771091679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.330)" }, "parent_node_id": "node_1346", "improvement_over_parent": null }, "node_1348": { "node_id": "node_1348", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.45 kg\n Factor of Safety: 1.30\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.45144183853887, "fos_buckling": 1.2989890136398272, "fos_yielding": 6.31320127192333, "deflection": 0.0015992968172336012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1347", "improvement_over_parent": null }, "node_1349": { "node_id": "node_1349", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1348", "improvement_over_parent": null }, "node_1350": { "node_id": "node_1350", "content": "INITIAL DESIGN (Trace 193)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 94.66 kg\n Factor of Safety: 0.37\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.65944626545183, "fos_buckling": 0.3686160698236918, "fos_yielding": 1.9894650942428267, "deflection": 0.00640220774674539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1351": { "node_id": "node_1351", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n\nPerformance:\n Mass: 102.42 kg\n Factor of Safety: 0.55\n Max Deflection: 3.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.42466555821373, "fos_buckling": 0.5522986187487625, "fos_yielding": 2.711123871927435, "deflection": 0.0034569775514320163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002027)" }, "parent_node_id": "node_1350", "improvement_over_parent": null }, "node_1352": { "node_id": "node_1352", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n\nPerformance:\n Mass: 116.48 kg\n Factor of Safety: 0.62\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.47908561947467, "fos_buckling": 0.6203932380564244, "fos_yielding": 3.0787199865161403, "deflection": 0.003043262851060742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1351", "improvement_over_parent": null }, "node_1353": { "node_id": "node_1353", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n\nPerformance:\n Mass: 130.01 kg\n Factor of Safety: 1.06\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.00732562743516, "fos_buckling": 1.0611956179746385, "fos_yielding": 4.055322103582483, "deflection": 0.0023199553112126354, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002615)" }, "parent_node_id": "node_1352", "improvement_over_parent": null }, "node_1354": { "node_id": "node_1354", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 160.67 kg\n Factor of Safety: 1.27\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.67195344840462, "fos_buckling": 1.274111034634683, "fos_yielding": 4.995966186237028, "deflection": 0.0018838288028090724, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1353", "improvement_over_parent": null }, "node_1355": { "node_id": "node_1355", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14248011761023, "fos_buckling": 1.5520010684662982, "fos_yielding": 6.31926579455559, "deflection": 0.0014900937356793955, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1354", "improvement_over_parent": null }, "node_1356": { "node_id": "node_1356", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1355", "improvement_over_parent": null }, "node_1357": { "node_id": "node_1357", "content": "INITIAL DESIGN (Trace 194)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 164.04 kg\n Factor of Safety: 1.32\n Max Deflection: 1.13e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.0395349402187, "fos_buckling": 1.3206394342875916, "fos_yielding": 10.123002493524577, "deflection": 1129118531721.2947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1358": { "node_id": "node_1358", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 179.63 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.6343550106125, "fos_buckling": 0.9169005544525884, "fos_yielding": 4.803181960190722, "deflection": 0.0019529806160936052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1357", "improvement_over_parent": null }, "node_1359": { "node_id": "node_1359", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0052)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 184.17 kg\n Factor of Safety: 0.92\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.17014531191913, "fos_buckling": 0.9171435717790967, "fos_yielding": 4.801976517409027, "deflection": 0.0019261929891083375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.252)" }, "parent_node_id": "node_1358", "improvement_over_parent": null }, "node_1360": { "node_id": "node_1360", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0052)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 205.42 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.41853681883575, "fos_buckling": 1.550248722218458, "fos_yielding": 6.312250996064012, "deflection": 0.0014844209137168793, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1359", "improvement_over_parent": null }, "node_1361": { "node_id": "node_1361", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1360", "improvement_over_parent": null }, "node_1362": { "node_id": "node_1362", "content": "INITIAL DESIGN (Trace 195)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 121.47 kg\n Factor of Safety: 0.55\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.47437082949428, "fos_buckling": 0.5532564263449953, "fos_yielding": 3.9829728449010595, "deflection": 0.0027063403381500793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1363": { "node_id": "node_1363", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 122.77 kg\n Factor of Safety: 0.55\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.77390682705892, "fos_buckling": 0.5530192619660772, "fos_yielding": 3.9821095435670566, "deflection": 0.0027263583673808158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.205)" }, "parent_node_id": "node_1362", "improvement_over_parent": null }, "node_1364": { "node_id": "node_1364", "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 126.64 kg\n Factor of Safety: 0.55\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.64090458778378, "fos_buckling": 0.5523147388739647, "fos_yielding": 3.9795428509672885, "deflection": 0.002780497806460582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.522)" }, "parent_node_id": "node_1363", "improvement_over_parent": null }, "node_1365": { "node_id": "node_1365", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 143.63 kg\n Factor of Safety: 0.61\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.62606801329858, "fos_buckling": 0.613282113067423, "fos_yielding": 4.504516876676819, "deflection": 0.0024606552887004376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_1364", "improvement_over_parent": null }, "node_1366": { "node_id": "node_1366", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n\nPerformance:\n Mass: 157.56 kg\n Factor of Safety: 0.61\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.55965713535284, "fos_buckling": 0.612348419928107, "fos_yielding": 4.623604234131796, "deflection": 0.0022884973013812208, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003144)" }, "parent_node_id": "node_1365", "improvement_over_parent": null }, "node_1367": { "node_id": "node_1367", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 174.98 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.9781491324081, "fos_buckling": 1.3685235045614386, "fos_yielding": 5.4321242559598595, "deflection": 0.0017328107485410046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003515)" }, "parent_node_id": "node_1366", "improvement_over_parent": null }, "node_1368": { "node_id": "node_1368", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97229045179833, "fos_buckling": 1.5508344703098906, "fos_yielding": 6.3133632624943985, "deflection": 0.0014914414526017096, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.182)" }, "parent_node_id": "node_1367", "improvement_over_parent": null }, "node_1369": { "node_id": "node_1369", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1368", "improvement_over_parent": null }, "node_1370": { "node_id": "node_1370", "content": "INITIAL DESIGN (Trace 196)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 134.11 kg\n Factor of Safety: 1.10\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.11116995017383, "fos_buckling": 1.0966514586771574, "fos_yielding": 4.2086488448013855, "deflection": 0.002238229776282864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1371": { "node_id": "node_1371", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 161.35 kg\n Factor of Safety: 1.29\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.35161320324704, "fos_buckling": 1.2855522181845407, "fos_yielding": 5.048897074416304, "deflection": 0.0018662923235147953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1370", "improvement_over_parent": null }, "node_1372": { "node_id": "node_1372", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 162.55 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.5533790213745, "fos_buckling": 1.2867082882985068, "fos_yielding": 5.053437441531435, "deflection": 0.0018624292974962788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.255)" }, "parent_node_id": "node_1371", "improvement_over_parent": null }, "node_1373": { "node_id": "node_1373", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01488858759606, "fos_buckling": 1.5512160441556924, "fos_yielding": 6.315339634834356, "deflection": 0.0014910053109666397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_1372", "improvement_over_parent": null }, "node_1374": { "node_id": "node_1374", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1373", "improvement_over_parent": null }, "node_1375": { "node_id": "node_1375", "content": "INITIAL DESIGN (Trace 197)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 150.90 kg\n Factor of Safety: 0.92\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.9005867817154, "fos_buckling": 0.9178128469707358, "fos_yielding": 3.1487589856783007, "deflection": 0.002323438356046615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1376": { "node_id": "node_1376", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 168.51 kg\n Factor of Safety: 1.03\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.5091925517042, "fos_buckling": 1.0319909575962243, "fos_yielding": 5.25268995501557, "deflection": 0.001847643022546629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1375", "improvement_over_parent": null }, "node_1377": { "node_id": "node_1377", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 169.70 kg\n Factor of Safety: 1.03\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.70386359943103, "fos_buckling": 1.0319909575962234, "fos_yielding": 5.251647047927041, "deflection": 0.0018338638568733236, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.215)" }, "parent_node_id": "node_1376", "improvement_over_parent": null }, "node_1378": { "node_id": "node_1378", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 185.95 kg\n Factor of Safety: 1.03\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.94920984042813, "fos_buckling": 1.0301074478597465, "fos_yielding": 5.2909758974443095, "deflection": 0.0016542269008059268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1377", "improvement_over_parent": null }, "node_1379": { "node_id": "node_1379", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 188.58 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.57566994435365, "fos_buckling": 1.0307157267039289, "fos_yielding": 5.289439428741855, "deflection": 0.0016211090580044577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.550)" }, "parent_node_id": "node_1378", "improvement_over_parent": null }, "node_1380": { "node_id": "node_1380", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17049001474746, "fos_buckling": 1.5521283821471472, "fos_yielding": 6.319904532614038, "deflection": 0.0014898615012714275, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1379", "improvement_over_parent": null }, "node_1381": { "node_id": "node_1381", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1380", "improvement_over_parent": null }, "node_1382": { "node_id": "node_1382", "content": "INITIAL DESIGN (Trace 198)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1383": { "node_id": "node_1383", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 153.39 kg\n Factor of Safety: 0.70\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.392647515028, "fos_buckling": 0.6980604984666362, "fos_yielding": 5.304750420994045, "deflection": 0.002188410859682945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1382", "improvement_over_parent": null }, "node_1384": { "node_id": "node_1384", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 169.80 kg\n Factor of Safety: 1.03\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.79842225103738, "fos_buckling": 1.0317383935967386, "fos_yielding": 5.299929729997171, "deflection": 0.0018835512712014795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003295)" }, "parent_node_id": "node_1383", "improvement_over_parent": null }, "node_1385": { "node_id": "node_1385", "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 171.95 kg\n Factor of Safety: 1.03\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.95441484741784, "fos_buckling": 1.0317383935967388, "fos_yielding": 5.29803157943938, "deflection": 0.0018539606613696168, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.460)" }, "parent_node_id": "node_1384", "improvement_over_parent": null }, "node_1386": { "node_id": "node_1386", "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0062)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 181.03 kg\n Factor of Safety: 1.03\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.03304503927012, "fos_buckling": 1.0270504550682307, "fos_yielding": 5.292710246086726, "deflection": 0.0018200939644562439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.658)" }, "parent_node_id": "node_1385", "improvement_over_parent": null }, "node_1387": { "node_id": "node_1387", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0062)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 196.63 kg\n Factor of Safety: 1.12\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.62786510966393, "fos_buckling": 1.1195940712204815, "fos_yielding": 5.923397773925757, "deflection": 0.0017155380278789402, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1386", "improvement_over_parent": null }, "node_1388": { "node_id": "node_1388", "content": "MODIFICATION: Increase 15 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0062)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0046)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.12\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.231468121535, "fos_buckling": 1.1248746762268114, "fos_yielding": 5.9082781045891455, "deflection": 0.001709887701775077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.261)" }, "parent_node_id": "node_1387", "improvement_over_parent": null }, "node_1389": { "node_id": "node_1389", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1388", "improvement_over_parent": null }, "node_1390": { "node_id": "node_1390", "content": "INITIAL DESIGN (Trace 199)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 120.18 kg\n Factor of Safety: 0.62\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.17689257535746, "fos_buckling": 0.6225410540278912, "fos_yielding": 3.953319686985194, "deflection": 0.002802948418796698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1391": { "node_id": "node_1391", "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 121.73 kg\n Factor of Safety: 0.62\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.73383950326557, "fos_buckling": 0.6221143566830908, "fos_yielding": 3.965876057267646, "deflection": 0.0027352159304651303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.481)" }, "parent_node_id": "node_1390", "improvement_over_parent": null }, "node_1392": { "node_id": "node_1392", "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 124.25 kg\n Factor of Safety: 0.62\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.24867011045167, "fos_buckling": 0.6215982281088571, "fos_yielding": 3.9625858230317097, "deflection": 0.0027007158204498064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.361)" }, "parent_node_id": "node_1391", "improvement_over_parent": null }, "node_1393": { "node_id": "node_1393", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 126.58 kg\n Factor of Safety: 0.62\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.57709169793749, "fos_buckling": 0.6212800745939069, "fos_yielding": 3.9605576470317145, "deflection": 0.0027013759841541555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.279)" }, "parent_node_id": "node_1392", "improvement_over_parent": null }, "node_1394": { "node_id": "node_1394", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 162.48 kg\n Factor of Safety: 0.77\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.47921461242404, "fos_buckling": 0.7677886885325665, "fos_yielding": 5.04776863318661, "deflection": 0.0021136955531345088, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_1393", "improvement_over_parent": null }, "node_1395": { "node_id": "node_1395", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.92 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.91894602765262, "fos_buckling": 0.9071363380106586, "fos_yielding": 6.165191998220148, "deflection": 0.0017256747414545065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1394", "improvement_over_parent": null }, "node_1396": { "node_id": "node_1396", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07032107457448, "fos_buckling": 1.5515475619412524, "fos_yielding": 6.317000317731176, "deflection": 0.0014905977700645368, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1395", "improvement_over_parent": null }, "node_1397": { "node_id": "node_1397", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1396", "improvement_over_parent": null }, "node_1398": { "node_id": "node_1398", "content": "INITIAL DESIGN (Trace 200)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 150.15 kg\n Factor of Safety: 0.79\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.15109465790283, "fos_buckling": 0.7925716251337068, "fos_yielding": 3.9619986375677168, "deflection": 0.0023724420851065366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1399": { "node_id": "node_1399", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 163.24 kg\n Factor of Safety: 0.79\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.23904731507645, "fos_buckling": 0.7891775463014484, "fos_yielding": 5.131181248162991, "deflection": 0.0020643530673447054, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003009)" }, "parent_node_id": "node_1398", "improvement_over_parent": null }, "node_1400": { "node_id": "node_1400", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 194.66 kg\n Factor of Safety: 0.91\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.661367701002, "fos_buckling": 0.9084759966779843, "fos_yielding": 6.0990993852752, "deflection": 0.0017381115447356694, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1399", "improvement_over_parent": null }, "node_1401": { "node_id": "node_1401", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 198.81 kg\n Factor of Safety: 1.51\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.81274274792386, "fos_buckling": 1.5117908759758305, "fos_yielding": 6.156390124116139, "deflection": 0.0015052882969909538, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1400", "improvement_over_parent": null }, "node_1402": { "node_id": "node_1402", "content": "MODIFICATION: Increase 11 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0066)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 209.00 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.99553723665238, "fos_buckling": 1.515421284554528, "fos_yielding": 6.171174054800975, "deflection": 0.0014729551421548582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.558)" }, "parent_node_id": "node_1401", "improvement_over_parent": null }, "node_1403": { "node_id": "node_1403", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1402", "improvement_over_parent": null }, "node_1404": { "node_id": "node_1404", "content": "INITIAL DESIGN (Trace 201)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 90.41 kg\n Factor of Safety: 0.47\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 90.41477175473287, "fos_buckling": 0.4689066101296235, "fos_yielding": 2.4386007296758754, "deflection": 0.003938831543578479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1405": { "node_id": "node_1405", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 101.75 kg\n Factor of Safety: 0.52\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.75106056618607, "fos_buckling": 0.5214890604425514, "fos_yielding": 2.74093711762249, "deflection": 0.003504896519996175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_1404", "improvement_over_parent": null }, "node_1406": { "node_id": "node_1406", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 120.95 kg\n Factor of Safety: 0.61\n Max Deflection: 2.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.95295506439037, "fos_buckling": 0.6074756834289736, "fos_yielding": 3.2513331326475754, "deflection": 0.00295545586836443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1405", "improvement_over_parent": null }, "node_1407": { "node_id": "node_1407", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n\nPerformance:\n Mass: 123.51 kg\n Factor of Safety: 0.85\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.51294037442183, "fos_buckling": 0.8536041494962632, "fos_yielding": 3.250870162838508, "deflection": 0.0026004266817099, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001494)" }, "parent_node_id": "node_1406", "improvement_over_parent": null }, "node_1408": { "node_id": "node_1408", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 141.50 kg\n Factor of Safety: 0.96\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.50466689673695, "fos_buckling": 0.9612566626954114, "fos_yielding": 3.7171585324705316, "deflection": 0.002274566061578427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1407", "improvement_over_parent": null }, "node_1409": { "node_id": "node_1409", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 144.21 kg\n Factor of Safety: 1.16\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.21178014246584, "fos_buckling": 1.1615507393851183, "fos_yielding": 4.491691355039238, "deflection": 0.002094902548479346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001658)" }, "parent_node_id": "node_1408", "improvement_over_parent": null }, "node_1410": { "node_id": "node_1410", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 163.40 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.40315063693322, "fos_buckling": 1.2923740489143396, "fos_yielding": 5.079347427317459, "deflection": 0.001852948160584018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_1409", "improvement_over_parent": null }, "node_1411": { "node_id": "node_1411", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18312483501109, "fos_buckling": 1.5522265742185863, "fos_yielding": 6.320362884295642, "deflection": 0.0014898238166834968, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_1410", "improvement_over_parent": null }, "node_1412": { "node_id": "node_1412", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1411", "improvement_over_parent": null }, "node_1413": { "node_id": "node_1413", "content": "INITIAL DESIGN (Trace 202)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 134.00 kg\n Factor of Safety: 0.55\n Max Deflection: 3.29e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.99703368387623, "fos_buckling": 0.5477276817311815, "fos_yielding": 3.2835560529855234, "deflection": 3289867208883.9873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1414": { "node_id": "node_1414", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 158.65 kg\n Factor of Safety: 0.74\n Max Deflection: 2.16e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.65257773744398, "fos_buckling": 0.7359153441187586, "fos_yielding": 5.818425324920886, "deflection": 2156973387782.3955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_1413", "improvement_over_parent": null }, "node_1415": { "node_id": "node_1415", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 166.52 kg\n Factor of Safety: 0.80\n Max Deflection: 6.71e+11 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.51845392585747, "fos_buckling": 0.8028167390386457, "fos_yielding": 6.197165916549013, "deflection": 670989744751.9482, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1414", "improvement_over_parent": null }, "node_1416": { "node_id": "node_1416", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 167.45 kg\n Factor of Safety: 0.84\n Max Deflection: 6.55e+11 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.45165830317976, "fos_buckling": 0.8410461075642954, "fos_yielding": 5.899877408835858, "deflection": 655486517561.8732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.318)" }, "parent_node_id": "node_1415", "improvement_over_parent": null }, "node_1417": { "node_id": "node_1417", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 181.32 kg\n Factor of Safety: 0.09\n Max Deflection: 2.11e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.32201617413762, "fos_buckling": 0.08658497209098362, "fos_yielding": 0.5150299713132305, "deflection": 21068839153218.77, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_1416", "improvement_over_parent": null }, "node_1418": { "node_id": "node_1418", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 196.92 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.91683624453142, "fos_buckling": 0.5062799913590744, "fos_yielding": 3.501476220370711, "deflection": 0.004053744564080084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1417", "improvement_over_parent": null }, "node_1419": { "node_id": "node_1419", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2123622977344, "fos_buckling": 1.5524233101405998, "fos_yielding": 6.321371571246055, "deflection": 0.001489592342578072, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1418", "improvement_over_parent": null }, "node_1420": { "node_id": "node_1420", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1419", "improvement_over_parent": null }, "node_1421": { "node_id": "node_1421", "content": "INITIAL DESIGN (Trace 203)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 126.76 kg\n Factor of Safety: 0.77\n Max Deflection: 9.59e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.76046327419283, "fos_buckling": 0.7704261239239638, "fos_yielding": 5.204019978902171, "deflection": 959207484112.8322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1422": { "node_id": "node_1422", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 164.47 kg\n Factor of Safety: 0.10\n Max Deflection: 1.50e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.46662473371964, "fos_buckling": 0.10020617193246766, "fos_yielding": 0.7761637168629798, "deflection": 15017708141679.582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1421", "improvement_over_parent": null }, "node_1423": { "node_id": "node_1423", "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.36 kg\n Factor of Safety: 0.18\n Max Deflection: 5.63e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.35864487797144, "fos_buckling": 0.18496719022367367, "fos_yielding": 1.5523274337259598, "deflection": 5630250453759.272, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.289)" }, "parent_node_id": "node_1422", "improvement_over_parent": null }, "node_1424": { "node_id": "node_1424", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 188.61 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.60703638488806, "fos_buckling": 1.0306841345821467, "fos_yielding": 5.290187309824242, "deflection": 0.0016209027987734554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1423", "improvement_over_parent": null }, "node_1425": { "node_id": "node_1425", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20185645528187, "fos_buckling": 1.5523668133533168, "fos_yielding": 6.32104087493882, "deflection": 0.0014896790202611572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1424", "improvement_over_parent": null }, "node_1426": { "node_id": "node_1426", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1425", "improvement_over_parent": null }, "node_1427": { "node_id": "node_1427", "content": "INITIAL DESIGN (Trace 204)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 178.03 kg\n Factor of Safety: 0.69\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.02567963144062, "fos_buckling": 0.6939483232550963, "fos_yielding": 5.236404036960327, "deflection": 0.0021717284460506508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1428": { "node_id": "node_1428", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 181.86 kg\n Factor of Safety: 0.69\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.85655031527406, "fos_buckling": 0.6936590927211695, "fos_yielding": 5.372712202457763, "deflection": 0.002008729422353906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1427", "improvement_over_parent": null }, "node_1429": { "node_id": "node_1429", "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 185.51 kg\n Factor of Safety: 0.69\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.51246783937685, "fos_buckling": 0.6936590927211695, "fos_yielding": 5.372712202457763, "deflection": 0.001895960311231247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.374)" }, "parent_node_id": "node_1428", "improvement_over_parent": null }, "node_1430": { "node_id": "node_1430", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0047)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 205.82 kg\n Factor of Safety: 1.50\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.8226550627798, "fos_buckling": 1.5039451156447612, "fos_yielding": 6.316401768482332, "deflection": 0.0014824936296046372, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1429", "improvement_over_parent": null }, "node_1431": { "node_id": "node_1431", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1430", "improvement_over_parent": null }, "node_1432": { "node_id": "node_1432", "content": "INITIAL DESIGN (Trace 205)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 165.99 kg\n Factor of Safety: 0.45\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.9851506115079, "fos_buckling": 0.4477021557454422, "fos_yielding": 3.0223365517276766, "deflection": 0.005161186343917401, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1433": { "node_id": "node_1433", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.03 kg\n Factor of Safety: 0.51\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.0324208466077, "fos_buckling": 0.5063753014507143, "fos_yielding": 3.5019469164421384, "deflection": 0.004457372287077693, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1432", "improvement_over_parent": null }, "node_1434": { "node_id": "node_1434", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 200.33 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.32794689981066, "fos_buckling": 1.2842415951061266, "fos_yielding": 5.2290761756076245, "deflection": 0.001617675769670133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1433", "improvement_over_parent": null }, "node_1435": { "node_id": "node_1435", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.59280723122922, "fos_buckling": 1.5453064827054468, "fos_yielding": 6.292060110433741, "deflection": 0.001492607766605961, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002027)" }, "parent_node_id": "node_1434", "improvement_over_parent": null }, "node_1436": { "node_id": "node_1436", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.29607894906326, "fos_buckling": 1.5455075030522685, "fos_yielding": 6.292878609624536, "deflection": 0.0014892420115300696, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.190)" }, "parent_node_id": "node_1435", "improvement_over_parent": null }, "node_1437": { "node_id": "node_1437", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1436", "improvement_over_parent": null }, "node_1438": { "node_id": "node_1438", "content": "INITIAL DESIGN (Trace 206)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 101.47 kg\n Factor of Safety: 0.09\n Max Deflection: 1.22e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.46762976708827, "fos_buckling": 0.09256227798768313, "fos_yielding": 0.7761637168629799, "deflection": 12212471605647.264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1439": { "node_id": "node_1439", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0022)]\n\nPerformance:\n Mass: 111.09 kg\n Factor of Safety: 0.60\n Max Deflection: 3.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.09246465169144, "fos_buckling": 0.6033486388340595, "fos_yielding": 2.9854905239537266, "deflection": 0.0031480657407863726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002168)" }, "parent_node_id": "node_1438", "improvement_over_parent": null }, "node_1440": { "node_id": "node_1440", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 140.35 kg\n Factor of Safety: 0.74\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.35113584294828, "fos_buckling": 0.7421656149415365, "fos_yielding": 3.7596644658997005, "deflection": 0.0024981216312536334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1439", "improvement_over_parent": null }, "node_1441": { "node_id": "node_1441", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n\nPerformance:\n Mass: 154.01 kg\n Factor of Safety: 1.09\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.0065423056893, "fos_buckling": 1.088549703172063, "fos_yielding": 4.935610392190669, "deflection": 0.0019444419841237756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002641)" }, "parent_node_id": "node_1440", "improvement_over_parent": null }, "node_1442": { "node_id": "node_1442", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 197.76 kg\n Factor of Safety: 1.35\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.76286963434137, "fos_buckling": 1.3475562440555622, "fos_yielding": 6.305834716556889, "deflection": 0.0015220093719429365, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_1441", "improvement_over_parent": null }, "node_1443": { "node_id": "node_1443", "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 200.62 kg\n Factor of Safety: 1.42\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.61963763025142, "fos_buckling": 1.4207350148034892, "fos_yielding": 6.309808035257528, "deflection": 0.0015086167254670787, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.377)" }, "parent_node_id": "node_1442", "improvement_over_parent": null }, "node_1444": { "node_id": "node_1444", "content": "MODIFICATION: Increase 13 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0051)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 204.75 kg\n Factor of Safety: 1.43\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.75321957095298, "fos_buckling": 1.4339731816242725, "fos_yielding": 6.305226708433149, "deflection": 0.0014934644620379991, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.229)" }, "parent_node_id": "node_1443", "improvement_over_parent": null }, "node_1445": { "node_id": "node_1445", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1444", "improvement_over_parent": null }, "node_1446": { "node_id": "node_1446", "content": "INITIAL DESIGN (Trace 207)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 176.19 kg\n Factor of Safety: 0.70\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.19473607186467, "fos_buckling": 0.7041791653506106, "fos_yielding": 5.297851039878751, "deflection": 0.0019931799697527623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1447": { "node_id": "node_1447", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 184.06 kg\n Factor of Safety: 0.87\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.06061226027816, "fos_buckling": 0.8669930662070544, "fos_yielding": 5.29324024360504, "deflection": 0.0016794945930129594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1446", "improvement_over_parent": null }, "node_1448": { "node_id": "node_1448", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 187.99 kg\n Factor of Safety: 0.87\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.99260717636145, "fos_buckling": 0.8673764796933083, "fos_yielding": 5.292089074351111, "deflection": 0.0016648756883313087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.252)" }, "parent_node_id": "node_1447", "improvement_over_parent": null }, "node_1449": { "node_id": "node_1449", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.40\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.58742724675525, "fos_buckling": 1.3978217836628335, "fos_yielding": 6.280025438473105, "deflection": 0.0015039868044092652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1448", "improvement_over_parent": null }, "node_1450": { "node_id": "node_1450", "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.40\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.14762698253466, "fos_buckling": 1.3952742519880852, "fos_yielding": 6.306712973302717, "deflection": 0.0015014569130415566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.188)" }, "parent_node_id": "node_1449", "improvement_over_parent": null }, "node_1451": { "node_id": "node_1451", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1450", "improvement_over_parent": null }, "node_1452": { "node_id": "node_1452", "content": "INITIAL DESIGN (Trace 208)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.41 kg\n Factor of Safety: 0.98\n Max Deflection: 1.11e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.41041600001722, "fos_buckling": 0.9810327126632509, "fos_yielding": 6.289597458186948, "deflection": 1109405518790.946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1453": { "node_id": "node_1453", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 194.01 kg\n Factor of Safety: 0.51\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.00523607041103, "fos_buckling": 0.5062652231734981, "fos_yielding": 3.5017788594177697, "deflection": 0.004070870824590111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1452", "improvement_over_parent": null }, "node_1454": { "node_id": "node_1454", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.30 kg\n Factor of Safety: 1.39\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.300762123614, "fos_buckling": 1.3928847290191348, "fos_yielding": 4.8687276344476755, "deflection": 0.0015373794316849633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1453", "improvement_over_parent": null }, "node_1455": { "node_id": "node_1455", "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 202.01 kg\n Factor of Safety: 1.47\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.01205921309514, "fos_buckling": 1.4738087321424123, "fos_yielding": 6.327109703529519, "deflection": 0.0015173114784640428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.389)" }, "parent_node_id": "node_1454", "improvement_over_parent": null }, "node_1456": { "node_id": "node_1456", "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 203.28 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.2826608821715, "fos_buckling": 1.552672744310842, "fos_yielding": 6.322121048300042, "deflection": 0.0014978551004848088, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.520)" }, "parent_node_id": "node_1455", "improvement_over_parent": null }, "node_1457": { "node_id": "node_1457", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17694509915793, "fos_buckling": 1.5521364904150754, "fos_yielding": 6.319937547588711, "deflection": 0.001489853397847964, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.252)" }, "parent_node_id": "node_1456", "improvement_over_parent": null }, "node_1458": { "node_id": "node_1458", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1457", "improvement_over_parent": null }, "node_1459": { "node_id": "node_1459", "content": "INITIAL DESIGN (Trace 209)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 171.59 kg\n Factor of Safety: 0.69\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.5873874100846, "fos_buckling": 0.6945722340994164, "fos_yielding": 4.865339804773088, "deflection": 0.0020599014604055737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1460": { "node_id": "node_1460", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 172.95 kg\n Factor of Safety: 0.69\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.9498182238801, "fos_buckling": 0.6942630973437368, "fos_yielding": 5.377390499102414, "deflection": 0.002008504895564802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.224)" }, "parent_node_id": "node_1459", "improvement_over_parent": null }, "node_1461": { "node_id": "node_1461", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 174.59 kg\n Factor of Safety: 0.69\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.58990499981957, "fos_buckling": 0.6937674893788947, "fos_yielding": 5.37355178497283, "deflection": 0.0019798774192018374, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.289)" }, "parent_node_id": "node_1460", "improvement_over_parent": null }, "node_1462": { "node_id": "node_1462", "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 179.33 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.3343935271562, "fos_buckling": 0.6934095029463014, "fos_yielding": 5.370779013600133, "deflection": 0.0019659801011716635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.453)" }, "parent_node_id": "node_1461", "improvement_over_parent": null }, "node_1463": { "node_id": "node_1463", "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 181.49 kg\n Factor of Safety: 0.69\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.49057673705602, "fos_buckling": 0.6934095029463018, "fos_yielding": 5.370779013600136, "deflection": 0.0019572225459713053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.290)" }, "parent_node_id": "node_1462", "improvement_over_parent": null }, "node_1464": { "node_id": "node_1464", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 183.84 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.84001845886323, "fos_buckling": 0.6930553215080614, "fos_yielding": 5.368035713677902, "deflection": 0.0019720045799040973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.224)" }, "parent_node_id": "node_1463", "improvement_over_parent": null }, "node_1465": { "node_id": "node_1465", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15020568226618, "fos_buckling": 1.5520055445522407, "fos_yielding": 6.319404366595703, "deflection": 0.0014899697120263988, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1464", "improvement_over_parent": null }, "node_1466": { "node_id": "node_1466", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1465", "improvement_over_parent": null }, "node_1467": { "node_id": "node_1467", "content": "INITIAL DESIGN (Trace 210)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 128.32 kg\n Factor of Safety: 0.03\n Max Deflection: 2.99e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.32204612792194, "fos_buckling": 0.03440935579287211, "fos_yielding": 0.25872123895432664, "deflection": 29851017373097.58, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1468": { "node_id": "node_1468", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 141.85 kg\n Factor of Safety: 0.26\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.85322709584935, "fos_buckling": 0.25869068424854297, "fos_yielding": 2.107492791351391, "deflection": 0.005299629209197441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003046)" }, "parent_node_id": "node_1467", "improvement_over_parent": null }, "node_1469": { "node_id": "node_1469", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 170.40 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.39724736688873, "fos_buckling": 0.30070275055130086, "fos_yielding": 2.5238016528744573, "deflection": 0.004425306193523847, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_1468", "improvement_over_parent": null }, "node_1470": { "node_id": "node_1470", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.25513829525258, "fos_buckling": 1.5521496595293238, "fos_yielding": 6.323691703381631, "deflection": 0.0014894036051283231, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1469", "improvement_over_parent": null }, "node_1471": { "node_id": "node_1471", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1470", "improvement_over_parent": null }, "node_1472": { "node_id": "node_1472", "content": "INITIAL DESIGN (Trace 211)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 117.98 kg\n Factor of Safety: 0.84\n Max Deflection: 2.69e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.98478692343335, "fos_buckling": 0.8414528825610228, "fos_yielding": 3.199010117884787, "deflection": 0.0026870610080443912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1473": { "node_id": "node_1473", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 132.46 kg\n Factor of Safety: 0.93\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.45536333025996, "fos_buckling": 0.9312735982234515, "fos_yielding": 3.5853071047333986, "deflection": 0.002397548765516637, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_1472", "improvement_over_parent": null }, "node_1474": { "node_id": "node_1474", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 135.32 kg\n Factor of Safety: 0.93\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.3192835534922, "fos_buckling": 0.9306809826518565, "fos_yielding": 3.5830255960304047, "deflection": 0.0023827195794162794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.462)" }, "parent_node_id": "node_1473", "improvement_over_parent": null }, "node_1475": { "node_id": "node_1475", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n\nPerformance:\n Mass: 137.92 kg\n Factor of Safety: 1.12\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.92491981868855, "fos_buckling": 1.1191611275257292, "fos_yielding": 4.33190928446239, "deflection": 0.0021953351042328225, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001592)" }, "parent_node_id": "node_1474", "improvement_over_parent": null }, "node_1476": { "node_id": "node_1476", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 177.69 kg\n Factor of Safety: 1.38\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.68924386543029, "fos_buckling": 1.3798068612627012, "fos_yielding": 5.557254539931236, "deflection": 0.0017117972071152277, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_1475", "improvement_over_parent": null }, "node_1477": { "node_id": "node_1477", "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 178.95 kg\n Factor of Safety: 1.39\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.95101148663733, "fos_buckling": 1.394364004289469, "fos_yielding": 5.553831731200994, "deflection": 0.0016949729842883753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.466)" }, "parent_node_id": "node_1476", "improvement_over_parent": null }, "node_1478": { "node_id": "node_1478", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19682570012338, "fos_buckling": 1.5523297116349013, "fos_yielding": 6.320890883412658, "deflection": 0.0014897188138277635, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_1477", "improvement_over_parent": null }, "node_1479": { "node_id": "node_1479", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1478", "improvement_over_parent": null }, "node_1480": { "node_id": "node_1480", "content": "INITIAL DESIGN (Trace 212)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 154.84 kg\n Factor of Safety: 0.92\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.83854130483235, "fos_buckling": 0.9195474643956228, "fos_yielding": 5.00260116801579, "deflection": 0.001924328610535759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1481": { "node_id": "node_1481", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 156.68 kg\n Factor of Safety: 1.09\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.6770685457915, "fos_buckling": 1.0915426722198522, "fos_yielding": 5.010451471363569, "deflection": 0.0019040149522710948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.279)" }, "parent_node_id": "node_1480", "improvement_over_parent": null }, "node_1482": { "node_id": "node_1482", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 162.96 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.95622070054944, "fos_buckling": 1.2893963707569713, "fos_yielding": 5.065729498697699, "deflection": 0.0018579221589014683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002224)" }, "parent_node_id": "node_1481", "improvement_over_parent": null }, "node_1483": { "node_id": "node_1483", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 184.55 kg\n Factor of Safety: 1.43\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.54884094876994, "fos_buckling": 1.4301881960042058, "fos_yielding": 5.7242005343374505, "deflection": 0.0016446135055826268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1482", "improvement_over_parent": null }, "node_1484": { "node_id": "node_1484", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19633185837984, "fos_buckling": 1.5523131129235301, "fos_yielding": 6.320813078492041, "deflection": 0.001489719991260028, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1483", "improvement_over_parent": null }, "node_1485": { "node_id": "node_1485", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1484", "improvement_over_parent": null }, "node_1486": { "node_id": "node_1486", "content": "INITIAL DESIGN (Trace 213)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.09 kg\n Factor of Safety: 0.35\n Max Deflection: 5.51e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.08573981205262, "fos_buckling": 0.347908826620627, "fos_yielding": 2.2990298234491515, "deflection": 5513101365714.678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1487": { "node_id": "node_1487", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n\nPerformance:\n Mass: 182.68 kg\n Factor of Safety: 0.35\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.67758111239934, "fos_buckling": 0.3455995579459357, "fos_yielding": 2.8019075897829695, "deflection": 0.004753441245158867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002628)" }, "parent_node_id": "node_1486", "improvement_over_parent": null }, "node_1488": { "node_id": "node_1488", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 189.97 kg\n Factor of Safety: 1.11\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.9731071656023, "fos_buckling": 1.1120400560895605, "fos_yielding": 6.322331961357228, "deflection": 0.001573556045263571, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1487", "improvement_over_parent": null }, "node_1489": { "node_id": "node_1489", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 192.40 kg\n Factor of Safety: 1.11\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.4035420808538, "fos_buckling": 1.1086788784077182, "fos_yielding": 6.382127753746362, "deflection": 0.0015678189011209937, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.266)" }, "parent_node_id": "node_1488", "improvement_over_parent": null }, "node_1490": { "node_id": "node_1490", "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 1.10\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.95019958420266, "fos_buckling": 1.096830769339494, "fos_yielding": 6.384029618669681, "deflection": 0.0015488620598062307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.637)" }, "parent_node_id": "node_1489", "improvement_over_parent": null }, "node_1491": { "node_id": "node_1491", "content": "MODIFICATION: Increase 13 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0067)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 212.66 kg\n Factor of Safety: 1.11\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.65604111092972, "fos_buckling": 1.1143832159881815, "fos_yielding": 6.374627871157168, "deflection": 0.0015200100582874472, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.618)" }, "parent_node_id": "node_1490", "improvement_over_parent": null }, "node_1492": { "node_id": "node_1492", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1491", "improvement_over_parent": null }, "node_1493": { "node_id": "node_1493", "content": "INITIAL DESIGN (Trace 214)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 165.76 kg\n Factor of Safety: 0.70\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.75967000937482, "fos_buckling": 0.6971701085042059, "fos_yielding": 5.2975891606257415, "deflection": 0.0019777328090198037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1494": { "node_id": "node_1494", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.07 kg\n Factor of Safety: 1.03\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.06985723277776, "fos_buckling": 1.030716268754137, "fos_yielding": 5.291638572954869, "deflection": 0.0016582762824015615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1493", "improvement_over_parent": null }, "node_1495": { "node_id": "node_1495", "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.56860437348752, "fos_buckling": 1.0307162687541371, "fos_yielding": 5.289445660060552, "deflection": 0.0016211706983147072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.572)" }, "parent_node_id": "node_1494", "improvement_over_parent": null }, "node_1496": { "node_id": "node_1496", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16342444388133, "fos_buckling": 1.5521546022976254, "fos_yielding": 6.32001129494745, "deflection": 0.0014900265423196514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1495", "improvement_over_parent": null }, "node_1497": { "node_id": "node_1497", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1496", "improvement_over_parent": null }, "node_1498": { "node_id": "node_1498", "content": "INITIAL DESIGN (Trace 215)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 110.02 kg\n Factor of Safety: 0.39\n Max Deflection: 4.30e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.02000739058053, "fos_buckling": 0.3915320071286675, "fos_yielding": 3.1046548674519197, "deflection": 4295208923327.762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1499": { "node_id": "node_1499", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 142.51 kg\n Factor of Safety: 0.14\n Max Deflection: 2.50e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.50837015808932, "fos_buckling": 0.14440882592708995, "fos_yielding": 0.676943734276447, "deflection": 24994201221322.45, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_1498", "improvement_over_parent": null }, "node_1500": { "node_id": "node_1500", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 149.40 kg\n Factor of Safety: 0.05\n Max Deflection: 2.90e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.39723407780633, "fos_buckling": 0.04727942407714004, "fos_yielding": 0.3831716372415252, "deflection": 29000922986200.855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002458)" }, "parent_node_id": "node_1499", "improvement_over_parent": null }, "node_1501": { "node_id": "node_1501", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 168.00 kg\n Factor of Safety: 0.45\n Max Deflection: 4.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.0021270484437, "fos_buckling": 0.45442556311974613, "fos_yielding": 3.0772358247748093, "deflection": 0.004620467017560068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003677)" }, "parent_node_id": "node_1500", "improvement_over_parent": null }, "node_1502": { "node_id": "node_1502", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 174.39 kg\n Factor of Safety: 1.19\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.38929372398042, "fos_buckling": 1.1918978657862798, "fos_yielding": 5.555500243483512, "deflection": 0.0017262338566712808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002880)" }, "parent_node_id": "node_1501", "improvement_over_parent": null }, "node_1503": { "node_id": "node_1503", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 199.20 kg\n Factor of Safety: 1.33\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.20272350134192, "fos_buckling": 1.3347257277813696, "fos_yielding": 6.327857997967096, "deflection": 0.0015156837478034466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1502", "improvement_over_parent": null }, "node_1504": { "node_id": "node_1504", "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0045)]\n\nPerformance:\n Mass: 201.47 kg\n Factor of Safety: 1.32\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.473199250226, "fos_buckling": 1.3223230303488192, "fos_yielding": 6.312724558500669, "deflection": 0.0014851333294244517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.355)" }, "parent_node_id": "node_1503", "improvement_over_parent": null }, "node_1505": { "node_id": "node_1505", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1504", "improvement_over_parent": null }, "node_1506": { "node_id": "node_1506", "content": "INITIAL DESIGN (Trace 216)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 91.86 kg\n Factor of Safety: 0.36\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.85542400229562, "fos_buckling": 0.3618825041106583, "fos_yielding": 1.9501598167830672, "deflection": 0.006684182125329828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1507": { "node_id": "node_1507", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 114.45 kg\n Factor of Safety: 0.44\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.45488961722657, "fos_buckling": 0.44170381162134265, "fos_yielding": 2.4281211855900913, "deflection": 0.005365513523744547, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.261)" }, "parent_node_id": "node_1506", "improvement_over_parent": null }, "node_1508": { "node_id": "node_1508", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 128.98 kg\n Factor of Safety: 0.75\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.98186575517235, "fos_buckling": 0.7488652806134846, "fos_yielding": 3.623072820779141, "deflection": 0.002635810912412115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002820)" }, "parent_node_id": "node_1507", "improvement_over_parent": null }, "node_1509": { "node_id": "node_1509", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 138.47 kg\n Factor of Safety: 0.94\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.46504144879137, "fos_buckling": 0.9397940820416659, "fos_yielding": 3.8172279580893425, "deflection": 0.002217315798983907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002503)" }, "parent_node_id": "node_1508", "improvement_over_parent": null }, "node_1510": { "node_id": "node_1510", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n\nPerformance:\n Mass: 154.00 kg\n Factor of Safety: 1.03\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.99928805870314, "fos_buckling": 1.0337347943377158, "fos_yielding": 4.241281654313077, "deflection": 0.0019969683259093676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1509", "improvement_over_parent": null }, "node_1511": { "node_id": "node_1511", "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n\nPerformance:\n Mass: 155.25 kg\n Factor of Safety: 1.24\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.2518779995389, "fos_buckling": 1.2374982321227863, "fos_yielding": 4.830128081243723, "deflection": 0.001948398389325292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.312)" }, "parent_node_id": "node_1510", "improvement_over_parent": null }, "node_1512": { "node_id": "node_1512", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n\nPerformance:\n Mass: 179.75 kg\n Factor of Safety: 1.40\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.74788990316256, "fos_buckling": 1.3994946047209773, "fos_yielding": 5.5781116800573205, "deflection": 0.0016876141168693456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_1511", "improvement_over_parent": null }, "node_1513": { "node_id": "node_1513", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 203.96 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96301768204285, "fos_buckling": 1.5509106048936043, "fos_yielding": 6.313813746522937, "deflection": 0.0014913873655640125, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1512", "improvement_over_parent": null }, "node_1514": { "node_id": "node_1514", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1513", "improvement_over_parent": null }, "node_1515": { "node_id": "node_1515", "content": "INITIAL DESIGN (Trace 217)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 197.86 kg\n Factor of Safety: 1.17\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.86301700514656, "fos_buckling": 1.1658199969481038, "fos_yielding": 6.240492567063612, "deflection": 0.0015295219171052323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1516": { "node_id": "node_1516", "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.13 kg\n Factor of Safety: 1.16\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.13155501558896, "fos_buckling": 1.163789527173416, "fos_yielding": 6.315477347366614, "deflection": 0.0015222898261201027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.543)" }, "parent_node_id": "node_1515", "improvement_over_parent": null }, "node_1517": { "node_id": "node_1517", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.10 kg\n Factor of Safety: 1.20\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.10193536255605, "fos_buckling": 1.1987274720715078, "fos_yielding": 6.313129374480678, "deflection": 0.0015121202696674256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.279)" }, "parent_node_id": "node_1516", "improvement_over_parent": null }, "node_1518": { "node_id": "node_1518", "content": "MODIFICATION: Increase 9 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17573865452886, "fos_buckling": 1.5521380973444447, "fos_yielding": 6.3199440906300755, "deflection": 0.0014898784906681364, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.629)" }, "parent_node_id": "node_1517", "improvement_over_parent": null }, "node_1519": { "node_id": "node_1519", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1518", "improvement_over_parent": null }, "node_1520": { "node_id": "node_1520", "content": "INITIAL DESIGN (Trace 218)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 160.59 kg\n Factor of Safety: 1.09\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.59484360785348, "fos_buckling": 1.0911265562491756, "fos_yielding": 5.359637441283004, "deflection": 0.0019466910116755964, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1521": { "node_id": "node_1521", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 161.92 kg\n Factor of Safety: 1.10\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.92093004243648, "fos_buckling": 1.102065147339442, "fos_yielding": 5.3516250619663355, "deflection": 0.0019378167375207133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.195)" }, "parent_node_id": "node_1520", "improvement_over_parent": null }, "node_1522": { "node_id": "node_1522", "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 164.28 kg\n Factor of Safety: 1.10\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.2780241983652, "fos_buckling": 1.1024757725546306, "fos_yielding": 5.334538717420072, "deflection": 0.0019259149835249155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.205)" }, "parent_node_id": "node_1521", "improvement_over_parent": null }, "node_1523": { "node_id": "node_1523", "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 1.34\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.20451427428605, "fos_buckling": 1.343774537281684, "fos_yielding": 5.3183117585538495, "deflection": 0.0017701497287176235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.348)" }, "parent_node_id": "node_1522", "improvement_over_parent": null }, "node_1524": { "node_id": "node_1524", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09720478897813, "fos_buckling": 1.551476417120999, "fos_yielding": 6.318629133487964, "deflection": 0.001490477441311292, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_1523", "improvement_over_parent": null }, "node_1525": { "node_id": "node_1525", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1524", "improvement_over_parent": null }, "node_1526": { "node_id": "node_1526", "content": "INITIAL DESIGN (Trace 219)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 115.55 kg\n Factor of Safety: 0.69\n Max Deflection: 3.61e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.55114608614075, "fos_buckling": 0.6944632453810361, "fos_yielding": 3.573380594797295, "deflection": 3608115325084.1035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1527": { "node_id": "node_1527", "content": "MODIFICATION: Increase 5 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 119.27 kg\n Factor of Safety: 0.39\n Max Deflection: 5.69e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.26861877244657, "fos_buckling": 0.3895576848120165, "fos_yielding": 3.10465486745192, "deflection": 5690095856752.327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.650)" }, "parent_node_id": "node_1526", "improvement_over_parent": null }, "node_1528": { "node_id": "node_1528", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n\nPerformance:\n Mass: 122.20 kg\n Factor of Safety: 0.42\n Max Deflection: 5.94e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.19899305157871, "fos_buckling": 0.42211218054252553, "fos_yielding": 3.104654867451919, "deflection": 5944485550104.78, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001724)" }, "parent_node_id": "node_1527", "improvement_over_parent": null }, "node_1529": { "node_id": "node_1529", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 136.56 kg\n Factor of Safety: 0.31\n Max Deflection: 1.01e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.55687139111467, "fos_buckling": 0.3102798690586438, "fos_yielding": 2.7582802583595307, "deflection": 10127523240783.566, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_1528", "improvement_over_parent": null }, "node_1530": { "node_id": "node_1530", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 173.17 kg\n Factor of Safety: 1.87\n Max Deflection: 1.52e+12 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 173.1715690188253, "fos_buckling": 1.8684967822246847, "fos_yielding": 9.715479040694257, "deflection": 1521546737163.0938, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_1529", "improvement_over_parent": null }, "node_1531": { "node_id": "node_1531", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 180.47 kg\n Factor of Safety: 0.93\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.46709507202826, "fos_buckling": 0.9299528153709217, "fos_yielding": 4.802952558759169, "deflection": 0.0019519385549104235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1530", "improvement_over_parent": null }, "node_1532": { "node_id": "node_1532", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.72 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.71548657894488, "fos_buckling": 1.45876965652539, "fos_yielding": 6.232648392517342, "deflection": 0.0014983891121716942, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1531", "improvement_over_parent": null }, "node_1533": { "node_id": "node_1533", "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.45\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.11782888237767, "fos_buckling": 1.4501243798928987, "fos_yielding": 6.238030647576408, "deflection": 0.0014950185494182725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.348)" }, "parent_node_id": "node_1532", "improvement_over_parent": null }, "node_1534": { "node_id": "node_1534", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1533", "improvement_over_parent": null }, "node_1535": { "node_id": "node_1535", "content": "INITIAL DESIGN (Trace 220)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 117.38 kg\n Factor of Safety: 0.24\n Max Deflection: 7.12e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.37852841225418, "fos_buckling": 0.24470624470218635, "fos_yielding": 2.1154745927317244, "deflection": 7120371549866.544, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1536": { "node_id": "node_1536", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 135.35 kg\n Factor of Safety: 0.36\n Max Deflection: 6.64e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.35039585685377, "fos_buckling": 0.3606682461388572, "fos_yielding": 1.5523274337259598, "deflection": 6644246218959.772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1535", "improvement_over_parent": null }, "node_1537": { "node_id": "node_1537", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 175.55 kg\n Factor of Safety: 0.31\n Max Deflection: 8.76e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.55293834342476, "fos_buckling": 0.30533851323190403, "fos_yielding": 1.5523274337259598, "deflection": 8762876680814.086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1536", "improvement_over_parent": null }, "node_1538": { "node_id": "node_1538", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 182.85 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.84846439662772, "fos_buckling": 0.9167608614883824, "fos_yielding": 4.803006683657283, "deflection": 0.001948755550615865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1537", "improvement_over_parent": null }, "node_1539": { "node_id": "node_1539", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09685590354434, "fos_buckling": 1.5516259572125377, "fos_yielding": 6.317385351757787, "deflection": 0.0014904093660532067, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1538", "improvement_over_parent": null }, "node_1540": { "node_id": "node_1540", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1539", "improvement_over_parent": null }, "node_1541": { "node_id": "node_1541", "content": "INITIAL DESIGN (Trace 221)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 135.07 kg\n Factor of Safety: 1.06\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.07107117702984, "fos_buckling": 1.0641173771026151, "fos_yielding": 4.247045467913588, "deflection": 0.002202802024560552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1542": { "node_id": "node_1542", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 166.06 kg\n Factor of Safety: 1.27\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.06298175626088, "fos_buckling": 1.2746560745931708, "fos_yielding": 5.203591937966982, "deflection": 0.0017982284566989248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1541", "improvement_over_parent": null }, "node_1543": { "node_id": "node_1543", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.94 kg\n Factor of Safety: 1.48\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.9379278596063, "fos_buckling": 1.484288701874798, "fos_yielding": 6.211112311192769, "deflection": 0.0015068655038346767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_1542", "improvement_over_parent": null }, "node_1544": { "node_id": "node_1544", "content": "MODIFICATION: Increase 12 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1241211401364, "fos_buckling": 1.5517685405421189, "fos_yielding": 6.318110841066536, "deflection": 0.0014903014490356822, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.546)" }, "parent_node_id": "node_1543", "improvement_over_parent": null }, "node_1545": { "node_id": "node_1545", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1544", "improvement_over_parent": null }, "node_1546": { "node_id": "node_1546", "content": "INITIAL DESIGN (Trace 222)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 155.45 kg\n Factor of Safety: 0.31\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.44916122097356, "fos_buckling": 0.30986593274292873, "fos_yielding": 2.341385791879198, "deflection": 0.010321500384414721, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1547": { "node_id": "node_1547", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 159.52 kg\n Factor of Safety: 0.31\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.5156058053937, "fos_buckling": 0.3097272257972546, "fos_yielding": 2.340337704827609, "deflection": 0.010285531001821039, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.443)" }, "parent_node_id": "node_1546", "improvement_over_parent": null }, "node_1548": { "node_id": "node_1548", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 185.41 kg\n Factor of Safety: 0.35\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.407105302133, "fos_buckling": 0.34972953886427527, "fos_yielding": 2.709089227899695, "deflection": 0.008876697793554647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_1547", "improvement_over_parent": null }, "node_1549": { "node_id": "node_1549", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 193.27 kg\n Factor of Safety: 0.51\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.2729814905465, "fos_buckling": 0.5065137346104224, "fos_yielding": 3.5039983151088476, "deflection": 0.004135925501936744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1548", "improvement_over_parent": null }, "node_1550": { "node_id": "node_1550", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 200.57 kg\n Factor of Safety: 1.52\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.56850754374946, "fos_buckling": 1.5177259407648844, "fos_yielding": 6.320213708462933, "deflection": 0.0015027545968207708, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1549", "improvement_over_parent": null }, "node_1551": { "node_id": "node_1551", "content": "MODIFICATION: Increase 14 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.49\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.59558684423766, "fos_buckling": 1.4934790789216923, "fos_yielding": 6.326229341443698, "deflection": 0.0014991428945281412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.292)" }, "parent_node_id": "node_1550", "improvement_over_parent": null }, "node_1552": { "node_id": "node_1552", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1551", "improvement_over_parent": null }, "node_1553": { "node_id": "node_1553", "content": "INITIAL DESIGN (Trace 223)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 132.36 kg\n Factor of Safety: 0.73\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.3642564560957, "fos_buckling": 0.732177966684999, "fos_yielding": 3.5639881725222677, "deflection": 0.0028127311132105184, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1554": { "node_id": "node_1554", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n\nPerformance:\n Mass: 135.28 kg\n Factor of Safety: 0.73\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.28338189435996, "fos_buckling": 0.7271955927852498, "fos_yielding": 3.562844258021127, "deflection": 0.0027311147203017295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001797)" }, "parent_node_id": "node_1553", "improvement_over_parent": null }, "node_1555": { "node_id": "node_1555", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n\nPerformance:\n Mass: 151.47 kg\n Factor of Safety: 0.73\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.47087482539, "fos_buckling": 0.7280554681586945, "fos_yielding": 3.5439212807862175, "deflection": 0.0022992920757778207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003165)" }, "parent_node_id": "node_1554", "improvement_over_parent": null }, "node_1556": { "node_id": "node_1556", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 170.95 kg\n Factor of Safety: 0.80\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.94678664349726, "fos_buckling": 0.8046090348873775, "fos_yielding": 3.994318655770337, "deflection": 0.002041887283967852, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_1555", "improvement_over_parent": null }, "node_1557": { "node_id": "node_1557", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 198.82 kg\n Factor of Safety: 0.91\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.81645854874748, "fos_buckling": 0.9076618522409704, "fos_yielding": 4.637635077555156, "deflection": 0.0017612397132391816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_1556", "improvement_over_parent": null }, "node_1558": { "node_id": "node_1558", "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.00 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.00321736846567, "fos_buckling": 0.9074284869687894, "fos_yielding": 6.16591280768822, "deflection": 0.0017249538924055557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.362)" }, "parent_node_id": "node_1557", "improvement_over_parent": null }, "node_1559": { "node_id": "node_1559", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15459241538753, "fos_buckling": 1.5520740446470829, "fos_yielding": 6.319615420306633, "deflection": 0.0014900158978995237, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1558", "improvement_over_parent": null }, "node_1560": { "node_id": "node_1560", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1559", "improvement_over_parent": null }, "node_1561": { "node_id": "node_1561", "content": "INITIAL DESIGN (Trace 224)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.19 kg\n Factor of Safety: 0.51\n Max Deflection: 4.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.19071905361767, "fos_buckling": 0.5063482729397188, "fos_yielding": 2.5358513408966, "deflection": 0.004744288713601859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1562": { "node_id": "node_1562", "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.96 kg\n Factor of Safety: 0.51\n Max Deflection: 4.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.95891627773278, "fos_buckling": 0.5063482729397194, "fos_yielding": 2.682733887259949, "deflection": 0.004567760832817615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.558)" }, "parent_node_id": "node_1561", "improvement_over_parent": null }, "node_1563": { "node_id": "node_1563", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87912380028348, "fos_buckling": 0.5061850118075282, "fos_yielding": 3.5006752783338855, "deflection": 0.004054072996866417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.647)" }, "parent_node_id": "node_1562", "improvement_over_parent": null }, "node_1564": { "node_id": "node_1564", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17464985348644, "fos_buckling": 1.5521429527854804, "fos_yielding": 6.3199638608528, "deflection": 0.0014898832640912575, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1563", "improvement_over_parent": null }, "node_1565": { "node_id": "node_1565", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1564", "improvement_over_parent": null }, "node_1566": { "node_id": "node_1566", "content": "INITIAL DESIGN (Trace 225)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 132.07 kg\n Factor of Safety: 0.98\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0701318948724, "fos_buckling": 0.9773359495262762, "fos_yielding": 3.408321462453521, "deflection": 0.0023551471779643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1567": { "node_id": "node_1567", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 146.94 kg\n Factor of Safety: 1.07\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.93961273683442, "fos_buckling": 1.0743441597956573, "fos_yielding": 3.790961316417145, "deflection": 0.0021199733058293855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_1566", "improvement_over_parent": null }, "node_1568": { "node_id": "node_1568", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 176.55 kg\n Factor of Safety: 1.26\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.5464281381503, "fos_buckling": 1.2597982901202551, "fos_yielding": 4.552674021945731, "deflection": 0.0017696454765982988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_1567", "improvement_over_parent": null }, "node_1569": { "node_id": "node_1569", "content": "MODIFICATION: Increase 4 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 177.52 kg\n Factor of Safety: 1.41\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.52122343692827, "fos_buckling": 1.4141627944715058, "fos_yielding": 4.545070360954878, "deflection": 0.0017435545218345747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.195)" }, "parent_node_id": "node_1568", "improvement_over_parent": null }, "node_1570": { "node_id": "node_1570", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.74 kg\n Factor of Safety: 1.58\n Max Deflection: 1.53e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.74332217350653, "fos_buckling": 1.575101102208089, "fos_yielding": 5.189747534948218, "deflection": 0.0015306193044376279, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_1569", "improvement_over_parent": null }, "node_1571": { "node_id": "node_1571", "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26473701257828, "fos_buckling": 1.5527387611738206, "fos_yielding": 6.322815405031004, "deflection": 0.0014892529819825384, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.259)" }, "parent_node_id": "node_1570", "improvement_over_parent": null }, "node_1572": { "node_id": "node_1572", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1571", "improvement_over_parent": null }, "node_1573": { "node_id": "node_1573", "content": "INITIAL DESIGN (Trace 226)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1574": { "node_id": "node_1574", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 125.39 kg\n Factor of Safety: 0.69\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.39203309861149, "fos_buckling": 0.6875733574225681, "fos_yielding": 3.454479837183285, "deflection": 0.002986778482327249, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002693)" }, "parent_node_id": "node_1573", "improvement_over_parent": null }, "node_1575": { "node_id": "node_1575", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 127.84 kg\n Factor of Safety: 0.69\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.8433272938118, "fos_buckling": 0.6878680873309174, "fos_yielding": 3.4530664442226633, "deflection": 0.0028561974843086526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.300)" }, "parent_node_id": "node_1574", "improvement_over_parent": null }, "node_1576": { "node_id": "node_1576", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 146.84 kg\n Factor of Safety: 0.78\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.83756420583666, "fos_buckling": 0.7762932142752886, "fos_yielding": 3.958369475625726, "deflection": 0.0024908393742415795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1575", "improvement_over_parent": null }, "node_1577": { "node_id": "node_1577", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 164.29 kg\n Factor of Safety: 0.77\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.29268592181228, "fos_buckling": 0.7748300638390938, "fos_yielding": 5.1021071236004385, "deflection": 0.002090816976664379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003432)" }, "parent_node_id": "node_1576", "improvement_over_parent": null }, "node_1578": { "node_id": "node_1578", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 167.70 kg\n Factor of Safety: 1.32\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.70290738127778, "fos_buckling": 1.320924388572234, "fos_yielding": 5.210661151610819, "deflection": 0.0018063258558385744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002028)" }, "parent_node_id": "node_1577", "improvement_over_parent": null }, "node_1579": { "node_id": "node_1579", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20228516335658, "fos_buckling": 1.5523330662380073, "fos_yielding": 6.320908899723647, "deflection": 0.0014896819646682063, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1578", "improvement_over_parent": null }, "node_1580": { "node_id": "node_1580", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1579", "improvement_over_parent": null }, "node_1581": { "node_id": "node_1581", "content": "INITIAL DESIGN (Trace 227)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 155.99 kg\n Factor of Safety: 0.83\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.99487673679607, "fos_buckling": 0.8299286742205969, "fos_yielding": 4.242512660695153, "deflection": 0.0031103663708543765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1582": { "node_id": "node_1582", "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 158.56 kg\n Factor of Safety: 0.82\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.56264342761895, "fos_buckling": 0.8215724255347121, "fos_yielding": 4.242512660695151, "deflection": 0.0031133703403869667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.422)" }, "parent_node_id": "node_1581", "improvement_over_parent": null }, "node_1583": { "node_id": "node_1583", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 165.54 kg\n Factor of Safety: 0.83\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.54186947768585, "fos_buckling": 0.827401211534196, "fos_yielding": 5.511792248675076, "deflection": 0.001935870959376621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002493)" }, "parent_node_id": "node_1582", "improvement_over_parent": null }, "node_1584": { "node_id": "node_1584", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 186.48 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.48431425893293, "fos_buckling": 0.9098369673129141, "fos_yielding": 6.183626124376156, "deflection": 0.0017228625684115064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_1583", "improvement_over_parent": null }, "node_1585": { "node_id": "node_1585", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09292002892175, "fos_buckling": 1.5516342800750724, "fos_yielding": 6.317434885683728, "deflection": 0.0014904803533915998, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1584", "improvement_over_parent": null }, "node_1586": { "node_id": "node_1586", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1585", "improvement_over_parent": null }, "node_1587": { "node_id": "node_1587", "content": "INITIAL DESIGN (Trace 228)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 161.47 kg\n Factor of Safety: 0.45\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.47468888302072, "fos_buckling": 0.4456298079437686, "fos_yielding": 2.0039725087605462, "deflection": 0.006877344746476719, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1588": { "node_id": "node_1588", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 164.75 kg\n Factor of Safety: 0.45\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.74997234474725, "fos_buckling": 0.4454681337802562, "fos_yielding": 2.0032515669314126, "deflection": 0.006494780950940686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002034)" }, "parent_node_id": "node_1587", "improvement_over_parent": null }, "node_1589": { "node_id": "node_1589", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 169.69 kg\n Factor of Safety: 0.80\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.6908847826205, "fos_buckling": 0.8009617514336536, "fos_yielding": 4.472769089817498, "deflection": 0.0020564762953079454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002187)" }, "parent_node_id": "node_1588", "improvement_over_parent": null }, "node_1590": { "node_id": "node_1590", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 198.44 kg\n Factor of Safety: 0.91\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.4449399618723, "fos_buckling": 0.9076293852101165, "fos_yielding": 5.221614534697953, "deflection": 0.0017642155981692008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_1589", "improvement_over_parent": null }, "node_1591": { "node_id": "node_1591", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.33\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.59631500879416, "fos_buckling": 1.333917323567334, "fos_yielding": 5.668687701594272, "deflection": 0.0015233662150354868, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1590", "improvement_over_parent": null }, "node_1592": { "node_id": "node_1592", "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0048)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 206.07 kg\n Factor of Safety: 1.31\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.07423056281905, "fos_buckling": 1.3147766932811962, "fos_yielding": 5.587346636757044, "deflection": 0.0015075574296336837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.284)" }, "parent_node_id": "node_1591", "improvement_over_parent": null }, "node_1593": { "node_id": "node_1593", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1592", "improvement_over_parent": null }, "node_1594": { "node_id": "node_1594", "content": "INITIAL DESIGN (Trace 229)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 147.09 kg\n Factor of Safety: 0.76\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.0918644668127, "fos_buckling": 0.7642620558983724, "fos_yielding": 4.973887004349196, "deflection": 0.0021410161305546764, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1595": { "node_id": "node_1595", "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 150.21 kg\n Factor of Safety: 0.76\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.21449818077528, "fos_buckling": 0.7640009297994236, "fos_yielding": 5.016608680924468, "deflection": 0.0021293828957772956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.337)" }, "parent_node_id": "node_1594", "improvement_over_parent": null }, "node_1596": { "node_id": "node_1596", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.61 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.60618336277673, "fos_buckling": 0.9103075290148117, "fos_yielding": 6.187560912201219, "deflection": 0.0017217418742014523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.266)" }, "parent_node_id": "node_1595", "improvement_over_parent": null }, "node_1597": { "node_id": "node_1597", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21478913276553, "fos_buckling": 1.5524394192025788, "fos_yielding": 6.321465585740207, "deflection": 0.001489557665592204, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1596", "improvement_over_parent": null }, "node_1598": { "node_id": "node_1598", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1597", "improvement_over_parent": null }, "node_1599": { "node_id": "node_1599", "content": "INITIAL DESIGN (Trace 230)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 176.87 kg\n Factor of Safety: 1.39\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.8683547346156, "fos_buckling": 1.387780392954048, "fos_yielding": 5.532370320969898, "deflection": 0.001705057280023533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1600": { "node_id": "node_1600", "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 177.90 kg\n Factor of Safety: 1.39\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.89916251522175, "fos_buckling": 1.3871606446164033, "fos_yielding": 5.529899701463338, "deflection": 0.001692387663594983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.350)" }, "parent_node_id": "node_1599", "improvement_over_parent": null }, "node_1601": { "node_id": "node_1601", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.89 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.88879583782344, "fos_buckling": 1.537409803688846, "fos_yielding": 6.2600792316942275, "deflection": 0.0014955200939808348, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.148)" }, "parent_node_id": "node_1600", "improvement_over_parent": null }, "node_1602": { "node_id": "node_1602", "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19910607981777, "fos_buckling": 1.5523030643603861, "fos_yielding": 6.320722133540188, "deflection": 0.0014897391381847227, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.182)" }, "parent_node_id": "node_1601", "improvement_over_parent": null }, "node_1603": { "node_id": "node_1603", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1602", "improvement_over_parent": null }, "node_1604": { "node_id": "node_1604", "content": "INITIAL DESIGN (Trace 231)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 145.70 kg\n Factor of Safety: 0.20\n Max Deflection: 3.15e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.69842003823084, "fos_buckling": 0.20409122140861793, "fos_yielding": 1.5523274337259598, "deflection": 3153305292269.9863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1605": { "node_id": "node_1605", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 149.32 kg\n Factor of Safety: 0.72\n Max Deflection: 1.55e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.32204154307067, "fos_buckling": 0.7173575906859296, "fos_yielding": 3.1046548674519197, "deflection": 1548875002975.447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.445)" }, "parent_node_id": "node_1604", "improvement_over_parent": null }, "node_1606": { "node_id": "node_1606", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 166.32 kg\n Factor of Safety: 0.17\n Max Deflection: 7.96e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.3152783021452, "fos_buckling": 0.17315610429936362, "fos_yielding": 0.7761637168629799, "deflection": 7963817402164.289, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1605", "improvement_over_parent": null }, "node_1607": { "node_id": "node_1607", "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.41 kg\n Factor of Safety: 0.27\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.41465583122184, "fos_buckling": 0.2665462973537795, "fos_yielding": 1.2925703958224062, "deflection": 11704427741570.557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.441)" }, "parent_node_id": "node_1606", "improvement_over_parent": null }, "node_1608": { "node_id": "node_1608", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.66304733813845, "fos_buckling": 1.030685195255416, "fos_yielding": 5.292220961531907, "deflection": 0.001620387617313443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1607", "improvement_over_parent": null }, "node_1609": { "node_id": "node_1609", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.25786740853226, "fos_buckling": 1.5528018402995625, "fos_yielding": 6.3232552357833, "deflection": 0.0014892211293879374, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1608", "improvement_over_parent": null }, "node_1610": { "node_id": "node_1610", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1609", "improvement_over_parent": null }, "node_1611": { "node_id": "node_1611", "content": "INITIAL DESIGN (Trace 232)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 129.75 kg\n Factor of Safety: 0.56\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.75419994348476, "fos_buckling": 0.563717872558437, "fos_yielding": 4.075939315421864, "deflection": 0.0027155866837688253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1612": { "node_id": "node_1612", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 142.33 kg\n Factor of Safety: 0.56\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.32872360863178, "fos_buckling": 0.5629410250552822, "fos_yielding": 4.189597515994666, "deflection": 0.0025249924403826793, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002815)" }, "parent_node_id": "node_1611", "improvement_over_parent": null }, "node_1613": { "node_id": "node_1613", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 183.95 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.9501970379009, "fos_buckling": 0.6933349726434532, "fos_yielding": 5.370700054188634, "deflection": 0.001971044589841261, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_1612", "improvement_over_parent": null }, "node_1614": { "node_id": "node_1614", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26038426130384, "fos_buckling": 1.5527688926805068, "fos_yielding": 6.323099221404292, "deflection": 0.001489219311440943, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1613", "improvement_over_parent": null }, "node_1615": { "node_id": "node_1615", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1614", "improvement_over_parent": null }, "node_1616": { "node_id": "node_1616", "content": "INITIAL DESIGN (Trace 233)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 121.83 kg\n Factor of Safety: 0.31\n Max Deflection: 7.23e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.83491423789768, "fos_buckling": 0.31066001000953075, "fos_yielding": 2.2990298234491515, "deflection": 7232739827342.827, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1617": { "node_id": "node_1617", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 136.63 kg\n Factor of Safety: 0.28\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.63315350033545, "fos_buckling": 0.2773186886538633, "fos_yielding": 2.1238912970973534, "deflection": 0.007637599756585584, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002876)" }, "parent_node_id": "node_1616", "improvement_over_parent": null }, "node_1618": { "node_id": "node_1618", "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 141.19 kg\n Factor of Safety: 0.28\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.19353793707464, "fos_buckling": 0.27724841504466974, "fos_yielding": 2.121757674401588, "deflection": 0.0076412557417789954, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.321)" }, "parent_node_id": "node_1617", "improvement_over_parent": null }, "node_1619": { "node_id": "node_1619", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 144.94 kg\n Factor of Safety: 0.28\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.94105342700774, "fos_buckling": 0.27719069405764873, "fos_yielding": 2.286228307107723, "deflection": 0.006760539451964358, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002246)" }, "parent_node_id": "node_1618", "improvement_over_parent": null }, "node_1620": { "node_id": "node_1620", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n\nPerformance:\n Mass: 175.51 kg\n Factor of Safety: 0.37\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.51220080391033, "fos_buckling": 0.37289359036957065, "fos_yielding": 3.0525366321055043, "deflection": 0.004704635184354559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004799)" }, "parent_node_id": "node_1619", "improvement_over_parent": null }, "node_1621": { "node_id": "node_1621", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 182.10 kg\n Factor of Safety: 1.19\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.0992514051039, "fos_buckling": 1.19158472769953, "fos_yielding": 5.715744166784742, "deflection": 0.0016736566923213525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002978)" }, "parent_node_id": "node_1620", "improvement_over_parent": null }, "node_1622": { "node_id": "node_1622", "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 185.19 kg\n Factor of Safety: 1.34\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.18515972503124, "fos_buckling": 1.342250685200621, "fos_yielding": 5.715551040724186, "deflection": 0.0016488437017453026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.225)" }, "parent_node_id": "node_1621", "improvement_over_parent": null }, "node_1623": { "node_id": "node_1623", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 205.20 kg\n Factor of Safety: 1.47\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.1978831466511, "fos_buckling": 1.4654781414664728, "fos_yielding": 6.320572311299627, "deflection": 0.0014910948215223283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_1622", "improvement_over_parent": null }, "node_1624": { "node_id": "node_1624", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1623", "improvement_over_parent": null }, "node_1625": { "node_id": "node_1625", "content": "INITIAL DESIGN (Trace 234)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 148.19 kg\n Factor of Safety: 0.82\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.1854264926115, "fos_buckling": 0.8177300432181951, "fos_yielding": 4.0797846041387835, "deflection": 0.002315250880496163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1626": { "node_id": "node_1626", "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 150.16 kg\n Factor of Safety: 0.82\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.15575247831876, "fos_buckling": 0.8179371873158661, "fos_yielding": 4.078892253193289, "deflection": 0.002304870716976624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.453)" }, "parent_node_id": "node_1625", "improvement_over_parent": null }, "node_1627": { "node_id": "node_1627", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 168.15 kg\n Factor of Safety: 1.27\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.14746614554556, "fos_buckling": 1.2701066331014326, "fos_yielding": 5.225404507322293, "deflection": 0.0017729123658376512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003546)" }, "parent_node_id": "node_1626", "improvement_over_parent": null }, "node_1628": { "node_id": "node_1628", "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 170.78 kg\n Factor of Safety: 1.34\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.7776997972109, "fos_buckling": 1.340807472954852, "fos_yielding": 5.312641234475188, "deflection": 0.0017607168269080156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.464)" }, "parent_node_id": "node_1627", "improvement_over_parent": null }, "node_1629": { "node_id": "node_1629", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.75 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.7542160991268, "fos_buckling": 1.536446902118531, "fos_yielding": 6.256236390014358, "deflection": 0.001495855237840959, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_1628", "improvement_over_parent": null }, "node_1630": { "node_id": "node_1630", "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20361934848341, "fos_buckling": 1.5523506609011493, "fos_yielding": 6.320994680259622, "deflection": 0.0014896770235927124, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.195)" }, "parent_node_id": "node_1629", "improvement_over_parent": null }, "node_1631": { "node_id": "node_1631", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1630", "improvement_over_parent": null }, "node_1632": { "node_id": "node_1632", "content": "INITIAL DESIGN (Trace 235)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0011)]\n\nPerformance:\n Mass: 118.60 kg\n Factor of Safety: 0.63\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.60490725187574, "fos_buckling": 0.6297704943531418, "fos_yielding": 3.8856647312790202, "deflection": 0.002537086481435176, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1633": { "node_id": "node_1633", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0013)]\n\nPerformance:\n Mass: 147.26 kg\n Factor of Safety: 0.77\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.2584598804234, "fos_buckling": 0.7718374878716935, "fos_yielding": 4.8070813585371, "deflection": 0.002050215800366546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1632", "improvement_over_parent": null }, "node_1634": { "node_id": "node_1634", "content": "MODIFICATION: Increase 15 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 150.30 kg\n Factor of Safety: 0.96\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.30087225311058, "fos_buckling": 0.9601235281772764, "fos_yielding": 4.850192196014474, "deflection": 0.0019963249059101046, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.456)" }, "parent_node_id": "node_1633", "improvement_over_parent": null }, "node_1635": { "node_id": "node_1635", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 171.45 kg\n Factor of Safety: 1.08\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.44703390542256, "fos_buckling": 1.0798221405921598, "fos_yielding": 5.517811704448195, "deflection": 0.0017545145762041625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1634", "improvement_over_parent": null }, "node_1636": { "node_id": "node_1636", "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 177.66 kg\n Factor of Safety: 1.39\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.66029026244752, "fos_buckling": 1.3861600972889059, "fos_yielding": 5.515095915638375, "deflection": 0.0017069510853142545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.587)" }, "parent_node_id": "node_1635", "improvement_over_parent": null }, "node_1637": { "node_id": "node_1637", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18113942068163, "fos_buckling": 1.5523678202272433, "fos_yielding": 6.321079329410113, "deflection": 0.0014897593943869157, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_1636", "improvement_over_parent": null }, "node_1638": { "node_id": "node_1638", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1637", "improvement_over_parent": null }, "node_1639": { "node_id": "node_1639", "content": "INITIAL DESIGN (Trace 236)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 119.30 kg\n Factor of Safety: 0.74\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.30006514992762, "fos_buckling": 0.7372399178578296, "fos_yielding": 3.592679458486588, "deflection": 0.002673400853372788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1640": { "node_id": "node_1640", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 137.50 kg\n Factor of Safety: 0.83\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.5034972245215, "fos_buckling": 0.8343678159897381, "fos_yielding": 4.131271787344889, "deflection": 0.002322715287059314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_1639", "improvement_over_parent": null }, "node_1641": { "node_id": "node_1641", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 146.52 kg\n Factor of Safety: 0.83\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.52298151834975, "fos_buckling": 0.8335212660442785, "fos_yielding": 4.127133989372739, "deflection": 0.0020767392799753135, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.558)" }, "parent_node_id": "node_1640", "improvement_over_parent": null }, "node_1642": { "node_id": "node_1642", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 171.19 kg\n Factor of Safety: 0.95\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.1905587361848, "fos_buckling": 0.951389963067804, "fos_yielding": 4.809676621792902, "deflection": 0.001782269772649194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_1641", "improvement_over_parent": null }, "node_1643": { "node_id": "node_1643", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0033)]\n\nPerformance:\n Mass: 185.34 kg\n Factor of Safety: 1.44\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.34238530242945, "fos_buckling": 1.4359239098398895, "fos_yielding": 5.746852395047125, "deflection": 0.0016375398578550103, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003275)" }, "parent_node_id": "node_1642", "improvement_over_parent": null }, "node_1644": { "node_id": "node_1644", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23006846911622, "fos_buckling": 1.5532379121145483, "fos_yielding": 6.320212644944792, "deflection": 0.0014893166122934562, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1643", "improvement_over_parent": null }, "node_1645": { "node_id": "node_1645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1644", "improvement_over_parent": null }, "node_1646": { "node_id": "node_1646", "content": "INITIAL DESIGN (Trace 237)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 149.63 kg\n Factor of Safety: 1.09\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.6297457597577, "fos_buckling": 1.0883705872157048, "fos_yielding": 4.799642439130757, "deflection": 0.0019523789247369667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1647": { "node_id": "node_1647", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 155.82 kg\n Factor of Safety: 1.23\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.81950008511413, "fos_buckling": 1.2346527312451447, "fos_yielding": 4.841162312304617, "deflection": 0.001908332842897748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002190)" }, "parent_node_id": "node_1646", "improvement_over_parent": null }, "node_1648": { "node_id": "node_1648", "content": "MODIFICATION: Increase 11 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 162.92 kg\n Factor of Safety: 1.23\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.92276998240933, "fos_buckling": 1.2290747299141584, "fos_yielding": 4.819290567207245, "deflection": 0.00188794624691077, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.653)" }, "parent_node_id": "node_1647", "improvement_over_parent": null }, "node_1649": { "node_id": "node_1649", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0060)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 206.71 kg\n Factor of Safety: 1.50\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.7148235389851, "fos_buckling": 1.4980635356717562, "fos_yielding": 6.099515247109041, "deflection": 0.0014937245510877643, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1648", "improvement_over_parent": null }, "node_1650": { "node_id": "node_1650", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1649", "improvement_over_parent": null }, "node_1651": { "node_id": "node_1651", "content": "INITIAL DESIGN (Trace 238)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 157.40 kg\n Factor of Safety: 0.96\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.40214496643785, "fos_buckling": 0.9591384086779363, "fos_yielding": 5.059030074212712, "deflection": 0.0019048698254665753, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1652": { "node_id": "node_1652", "content": "MODIFICATION: Increase 15 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 159.70 kg\n Factor of Safety: 1.00\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.70477562022015, "fos_buckling": 1.0037337054407212, "fos_yielding": 5.05599011063009, "deflection": 0.001885503712196461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.178)" }, "parent_node_id": "node_1651", "improvement_over_parent": null }, "node_1653": { "node_id": "node_1653", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.35 kg\n Factor of Safety: 1.22\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.3451238187113, "fos_buckling": 1.223786465869878, "fos_yielding": 6.313969296219458, "deflection": 0.0015102813366298126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_1652", "improvement_over_parent": null }, "node_1654": { "node_id": "node_1654", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.92 kg\n Factor of Safety: 1.39\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.91642119536374, "fos_buckling": 1.3854101696964753, "fos_yielding": 6.317046038799281, "deflection": 0.0015002353858742283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.230)" }, "parent_node_id": "node_1653", "improvement_over_parent": null }, "node_1655": { "node_id": "node_1655", "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1801394011886, "fos_buckling": 1.5521966212900693, "fos_yielding": 6.320231988168401, "deflection": 0.0014898431690615196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.279)" }, "parent_node_id": "node_1654", "improvement_over_parent": null }, "node_1656": { "node_id": "node_1656", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1655", "improvement_over_parent": null }, "node_1657": { "node_id": "node_1657", "content": "INITIAL DESIGN (Trace 239)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 122.29 kg\n Factor of Safety: 0.66\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.29003569248262, "fos_buckling": 0.6630658153068033, "fos_yielding": 3.3149753845867616, "deflection": 0.002863188175488956, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1658": { "node_id": "node_1658", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 136.87 kg\n Factor of Safety: 0.98\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.87034857071995, "fos_buckling": 0.9831973363681504, "fos_yielding": 3.44234545481532, "deflection": 0.002251324658301043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002831)" }, "parent_node_id": "node_1657", "improvement_over_parent": null }, "node_1659": { "node_id": "node_1659", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 176.59 kg\n Factor of Safety: 1.23\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.59403441619327, "fos_buckling": 1.2271874922157773, "fos_yielding": 4.4384952322128335, "deflection": 0.0017522001983845462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_1658", "improvement_over_parent": null }, "node_1660": { "node_id": "node_1660", "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 179.02 kg\n Factor of Safety: 1.40\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.02242644520496, "fos_buckling": 1.4018352748675973, "fos_yielding": 4.421419547274913, "deflection": 0.0017378647005736518, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.353)" }, "parent_node_id": "node_1659", "improvement_over_parent": null }, "node_1661": { "node_id": "node_1661", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 202.50 kg\n Factor of Safety: 1.55\n Max Deflection: 1.54e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.5006374465059, "fos_buckling": 1.5493659974374066, "fos_yielding": 5.000962947921162, "deflection": 0.001539980530840659, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_1660", "improvement_over_parent": null }, "node_1662": { "node_id": "node_1662", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.35 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.35277801769405, "fos_buckling": 1.5532645256235813, "fos_yielding": 6.325560616562441, "deflection": 0.0014885773282455538, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.328)" }, "parent_node_id": "node_1661", "improvement_over_parent": null }, "node_1663": { "node_id": "node_1663", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1662", "improvement_over_parent": null }, "node_1664": { "node_id": "node_1664", "content": "INITIAL DESIGN (Trace 240)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 131.20 kg\n Factor of Safety: 0.27\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.20457097637973, "fos_buckling": 0.26974133782178966, "fos_yielding": 2.2137137624639993, "deflection": 0.005419667114842178, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1665": { "node_id": "node_1665", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n\nPerformance:\n Mass: 160.82 kg\n Factor of Safety: 0.62\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.8240248624447, "fos_buckling": 0.6227210153997191, "fos_yielding": 4.716694115003253, "deflection": 0.0022434790636710893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004637)" }, "parent_node_id": "node_1664", "improvement_over_parent": null }, "node_1666": { "node_id": "node_1666", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 183.81 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.80671221665645, "fos_buckling": 0.6928953818986016, "fos_yielding": 5.366512278856621, "deflection": 0.0019725587401820456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_1665", "improvement_over_parent": null }, "node_1667": { "node_id": "node_1667", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1168994400594, "fos_buckling": 1.551814822636272, "fos_yielding": 6.318066145306781, "deflection": 0.0014902892209287008, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1666", "improvement_over_parent": null }, "node_1668": { "node_id": "node_1668", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1667", "improvement_over_parent": null }, "node_1669": { "node_id": "node_1669", "content": "INITIAL DESIGN (Trace 241)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 97.06 kg\n Factor of Safety: 0.59\n Max Deflection: 2.40e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.06472619818473, "fos_buckling": 0.5933847240025798, "fos_yielding": 2.123057637457654, "deflection": 2404962153862.3335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1670": { "node_id": "node_1670", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n\nPerformance:\n Mass: 111.28 kg\n Factor of Safety: 0.60\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.27974957193518, "fos_buckling": 0.6013619638231806, "fos_yielding": 2.949838532115332, "deflection": 0.003034586574341307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.002136)" }, "parent_node_id": "node_1669", "improvement_over_parent": null }, "node_1671": { "node_id": "node_1671", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n\nPerformance:\n Mass: 145.11 kg\n Factor of Safety: 0.77\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.10531555965395, "fos_buckling": 0.7688554966062795, "fos_yielding": 3.853623026930354, "deflection": 0.0023311577128545024, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_1670", "improvement_over_parent": null }, "node_1672": { "node_id": "node_1672", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 158.44 kg\n Factor of Safety: 0.99\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.43864954675317, "fos_buckling": 0.994255085804567, "fos_yielding": 4.983360735809561, "deflection": 0.002044143298191257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002998)" }, "parent_node_id": "node_1671", "improvement_over_parent": null }, "node_1673": { "node_id": "node_1673", "content": "MODIFICATION: Increase 10 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0045)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 164.46 kg\n Factor of Safety: 0.99\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.4638593891821, "fos_buckling": 0.9900371098944846, "fos_yielding": 4.962219586184075, "deflection": 0.002030025417859158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.529)" }, "parent_node_id": "node_1672", "improvement_over_parent": null }, "node_1674": { "node_id": "node_1674", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0056)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.17 kg\n Factor of Safety: 1.18\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.16784122600555, "fos_buckling": 1.1822790139639863, "fos_yielding": 6.050987676999713, "deflection": 0.0016707849191635188, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.239)" }, "parent_node_id": "node_1673", "improvement_over_parent": null }, "node_1675": { "node_id": "node_1675", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1674", "improvement_over_parent": null }, "node_1676": { "node_id": "node_1676", "content": "INITIAL DESIGN (Trace 242)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0013)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 89.16 kg\n Factor of Safety: 0.65\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.15515237715603, "fos_buckling": 0.6457296587203266, "fos_yielding": 2.845272229217566, "deflection": 0.0033449534859519253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1677": { "node_id": "node_1677", "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0007)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 91.60 kg\n Factor of Safety: 0.67\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.59755925734693, "fos_buckling": 0.6734379407978265, "fos_yielding": 2.8561683037323866, "deflection": 0.0032740863245766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.355)" }, "parent_node_id": "node_1676", "improvement_over_parent": null }, "node_1678": { "node_id": "node_1678", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 109.54 kg\n Factor of Safety: 0.80\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.54007177239205, "fos_buckling": 0.7965307402984616, "fos_yielding": 3.4094260059988337, "deflection": 0.0027434896763299564, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1677", "improvement_over_parent": null }, "node_1679": { "node_id": "node_1679", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 133.35 kg\n Factor of Safety: 0.96\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.34578817705696, "fos_buckling": 0.9554179199134242, "fos_yielding": 4.140380826689311, "deflection": 0.002259911457099142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1678", "improvement_over_parent": null }, "node_1680": { "node_id": "node_1680", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 165.95 kg\n Factor of Safety: 1.16\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.94922381731234, "fos_buckling": 1.1648537482728, "fos_yielding": 5.135795151002623, "deflection": 0.0018227458903670533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_1679", "improvement_over_parent": null }, "node_1681": { "node_id": "node_1681", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 166.80 kg\n Factor of Safety: 1.31\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.7964279464637, "fos_buckling": 1.3149233470206043, "fos_yielding": 5.182955809209836, "deflection": 0.0018159698140202756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.399)" }, "parent_node_id": "node_1680", "improvement_over_parent": null }, "node_1682": { "node_id": "node_1682", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.31300033919248, "fos_buckling": 1.553002418550339, "fos_yielding": 6.324233364704321, "deflection": 0.0014889068633080276, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1681", "improvement_over_parent": null }, "node_1683": { "node_id": "node_1683", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1682", "improvement_over_parent": null }, "node_1684": { "node_id": "node_1684", "content": "INITIAL DESIGN (Trace 243)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 158.28 kg\n Factor of Safety: 1.08\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.2777683591726, "fos_buckling": 1.0810056454974868, "fos_yielding": 4.256060616350258, "deflection": 0.002022679015867823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1685": { "node_id": "node_1685", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 161.20 kg\n Factor of Safety: 1.08\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.19997959510567, "fos_buckling": 1.080830662847294, "fos_yielding": 4.255371686769608, "deflection": 0.002005806702992189, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.277)" }, "parent_node_id": "node_1684", "improvement_over_parent": null }, "node_1686": { "node_id": "node_1686", "content": "MODIFICATION: Increase 2 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 162.34 kg\n Factor of Safety: 1.08\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.34256157270818, "fos_buckling": 1.0807622601918225, "fos_yielding": 4.255102376568298, "deflection": 0.0019873933022849254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.449)" }, "parent_node_id": "node_1685", "improvement_over_parent": null }, "node_1687": { "node_id": "node_1687", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.20 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.19594269553866, "fos_buckling": 1.2836031683620088, "fos_yielding": 5.225889193769469, "deflection": 0.0016187119323981224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_1686", "improvement_over_parent": null }, "node_1688": { "node_id": "node_1688", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0268133793721, "fos_buckling": 1.5513248994868667, "fos_yielding": 6.315855420175727, "deflection": 0.0014909214000789462, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1687", "improvement_over_parent": null }, "node_1689": { "node_id": "node_1689", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1688", "improvement_over_parent": null }, "node_1690": { "node_id": "node_1690", "content": "INITIAL DESIGN (Trace 244)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1691": { "node_id": "node_1691", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 175.99 kg\n Factor of Safety: 0.70\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.99302528904158, "fos_buckling": 0.6954337408233674, "fos_yielding": 5.262714439387722, "deflection": 0.002424311187191057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1690", "improvement_over_parent": null }, "node_1692": { "node_id": "node_1692", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.85890147745508, "fos_buckling": 0.6930552354498489, "fos_yielding": 5.368035047117034, "deflection": 0.001972028837728778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1691", "improvement_over_parent": null }, "node_1693": { "node_id": "node_1693", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16908870085803, "fos_buckling": 1.5521411298084367, "fos_yielding": 6.319956438115719, "deflection": 0.0014899161125455126, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1692", "improvement_over_parent": null }, "node_1694": { "node_id": "node_1694", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1693", "improvement_over_parent": null }, "node_1695": { "node_id": "node_1695", "content": "INITIAL DESIGN (Trace 245)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0015)]\n\nPerformance:\n Mass: 102.53 kg\n Factor of Safety: 0.20\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.52737614297519, "fos_buckling": 0.20458890179389216, "fos_yielding": 1.6106658670105838, "deflection": 0.007000368214068535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1696": { "node_id": "node_1696", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 114.98 kg\n Factor of Safety: 0.23\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.97956236853925, "fos_buckling": 0.22608509226744186, "fos_yielding": 1.8033351233118475, "deflection": 0.006252105274815126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1695", "improvement_over_parent": null }, "node_1697": { "node_id": "node_1697", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 145.27 kg\n Factor of Safety: 0.28\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.268425344686, "fos_buckling": 0.27540004094466414, "fos_yielding": 2.2692955096132725, "deflection": 0.004967648180168453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_1696", "improvement_over_parent": null }, "node_1698": { "node_id": "node_1698", "content": "MODIFICATION: Increase 14 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 152.08 kg\n Factor of Safety: 0.28\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.08198355374236, "fos_buckling": 0.2752959861673898, "fos_yielding": 2.26843809856129, "deflection": 0.004930399377620852, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.647)" }, "parent_node_id": "node_1697", "improvement_over_parent": null }, "node_1699": { "node_id": "node_1699", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.39 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.39017690598698, "fos_buckling": 0.3005080856563209, "fos_yielding": 2.5217733001426943, "deflection": 0.00443495995434202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_1698", "improvement_over_parent": null }, "node_1700": { "node_id": "node_1700", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 203.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.24806783435082, "fos_buckling": 1.5524932575516859, "fos_yielding": 6.319607410193739, "deflection": 0.001497949841534883, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1699", "improvement_over_parent": null }, "node_1701": { "node_id": "node_1701", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10946248082735, "fos_buckling": 1.551979326489625, "fos_yielding": 6.317515393025662, "deflection": 0.0014902840861232532, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.241)" }, "parent_node_id": "node_1700", "improvement_over_parent": null }, "node_1702": { "node_id": "node_1702", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1701", "improvement_over_parent": null }, "node_1703": { "node_id": "node_1703", "content": "INITIAL DESIGN (Trace 246)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 125.58 kg\n Factor of Safety: 0.87\n Max Deflection: 2.87e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.58189915416818, "fos_buckling": 0.8692776423896745, "fos_yielding": 4.499750438046105, "deflection": 2865389164268.409, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1704": { "node_id": "node_1704", "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 126.98 kg\n Factor of Safety: 0.43\n Max Deflection: 1.06e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.98264575243016, "fos_buckling": 0.427926961799382, "fos_yielding": 1.8566133579595114, "deflection": 10645621109374.059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.332)" }, "parent_node_id": "node_1703", "improvement_over_parent": null }, "node_1705": { "node_id": "node_1705", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 131.59 kg\n Factor of Safety: 0.70\n Max Deflection: 3.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.59221909777904, "fos_buckling": 0.7040519408090804, "fos_yielding": 3.0331534713152815, "deflection": 0.0038474884856352885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002032)" }, "parent_node_id": "node_1704", "improvement_over_parent": null }, "node_1706": { "node_id": "node_1706", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 147.10 kg\n Factor of Safety: 0.77\n Max Deflection: 3.45e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.10447115534913, "fos_buckling": 0.774966312069831, "fos_yielding": 3.3875090951744498, "deflection": 0.0034482024755081576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_1705", "improvement_over_parent": null }, "node_1707": { "node_id": "node_1707", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 153.62 kg\n Factor of Safety: 0.78\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.62188626115795, "fos_buckling": 0.7821991797923001, "fos_yielding": 4.659220244538203, "deflection": 0.002102292956968483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002315)" }, "parent_node_id": "node_1706", "improvement_over_parent": null }, "node_1708": { "node_id": "node_1708", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 154.20 kg\n Factor of Safety: 0.78\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.19673439268388, "fos_buckling": 0.7821008486258785, "fos_yielding": 4.658932616537167, "deflection": 0.002102380202311977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.183)" }, "parent_node_id": "node_1707", "improvement_over_parent": null }, "node_1709": { "node_id": "node_1709", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 168.78 kg\n Factor of Safety: 1.21\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.78462473503393, "fos_buckling": 1.2069229626611235, "fos_yielding": 5.052270077040358, "deflection": 0.0018140576821698015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003153)" }, "parent_node_id": "node_1708", "improvement_over_parent": null }, "node_1710": { "node_id": "node_1710", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 203.68 kg\n Factor of Safety: 1.41\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.6767596458189, "fos_buckling": 1.4148746587102272, "fos_yielding": 6.077440053382659, "deflection": 0.0015089924511904223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_1709", "improvement_over_parent": null }, "node_1711": { "node_id": "node_1711", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1710", "improvement_over_parent": null }, "node_1712": { "node_id": "node_1712", "content": "INITIAL DESIGN (Trace 247)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 182.23 kg\n Factor of Safety: 0.98\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.2305029182872, "fos_buckling": 0.9765304629637658, "fos_yielding": 4.607162251943174, "deflection": 0.0017907180487428368, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1713": { "node_id": "node_1713", "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 192.55 kg\n Factor of Safety: 1.23\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.54789065732382, "fos_buckling": 1.2266334982831737, "fos_yielding": 4.349489171326659, "deflection": 0.0016162392864203794, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.481)" }, "parent_node_id": "node_1712", "improvement_over_parent": null }, "node_1714": { "node_id": "node_1714", "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.77 kg\n Factor of Safety: 1.30\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.7741996466563, "fos_buckling": 1.2976645210094353, "fos_yielding": 4.402286337343818, "deflection": 0.001608184406106037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.517)" }, "parent_node_id": "node_1713", "improvement_over_parent": null }, "node_1715": { "node_id": "node_1715", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.52\n Max Deflection: 1.57e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.6400758350698, "fos_buckling": 1.5247613803362916, "fos_yielding": 4.4514265320384405, "deflection": 0.001569747776280887, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1714", "improvement_over_parent": null }, "node_1716": { "node_id": "node_1716", "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14864546243257, "fos_buckling": 1.5516177041720192, "fos_yielding": 6.319952363447672, "deflection": 0.0014901404946004817, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.504)" }, "parent_node_id": "node_1715", "improvement_over_parent": null }, "node_1717": { "node_id": "node_1717", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1716", "improvement_over_parent": null }, "node_1718": { "node_id": "node_1718", "content": "INITIAL DESIGN (Trace 248)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 144.08 kg\n Factor of Safety: 0.85\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.08273844834136, "fos_buckling": 0.8509811622759071, "fos_yielding": 4.226783957423995, "deflection": 0.002087157311390041, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1719": { "node_id": "node_1719", "content": "MODIFICATION: Increase 11 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 148.57 kg\n Factor of Safety: 0.85\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.57374578429486, "fos_buckling": 0.8505512754158294, "fos_yielding": 4.224676281557512, "deflection": 0.0020580112093057106, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.572)" }, "parent_node_id": "node_1718", "improvement_over_parent": null }, "node_1720": { "node_id": "node_1720", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 160.97 kg\n Factor of Safety: 1.06\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.9738560820976, "fos_buckling": 1.0577970382129454, "fos_yielding": 4.350897622481164, "deflection": 0.0019149397848374607, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002839)" }, "parent_node_id": "node_1719", "improvement_over_parent": null }, "node_1721": { "node_id": "node_1721", "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 162.37 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.3685756520946, "fos_buckling": 1.285522315783383, "fos_yielding": 5.048041144540319, "deflection": 0.0018645171008563675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.340)" }, "parent_node_id": "node_1720", "improvement_over_parent": null }, "node_1722": { "node_id": "node_1722", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07773047866067, "fos_buckling": 1.551651663735902, "fos_yielding": 6.317553375716646, "deflection": 0.001490563020805923, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_1721", "improvement_over_parent": null }, "node_1723": { "node_id": "node_1723", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1722", "improvement_over_parent": null }, "node_1724": { "node_id": "node_1724", "content": "INITIAL DESIGN (Trace 249)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 159.81 kg\n Factor of Safety: 1.08\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.81389633907355, "fos_buckling": 1.0757713282597086, "fos_yielding": 5.053742372532544, "deflection": 0.0018668563303304297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1725": { "node_id": "node_1725", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 162.43 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.43018347676582, "fos_buckling": 1.2852510248510152, "fos_yielding": 5.0574103094366185, "deflection": 0.0018469507472113349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.439)" }, "parent_node_id": "node_1724", "improvement_over_parent": null }, "node_1726": { "node_id": "node_1726", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 179.95 kg\n Factor of Safety: 1.40\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.95411467358957, "fos_buckling": 1.3997935717555026, "fos_yielding": 5.592912893967698, "deflection": 0.0016705694486912307, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1725", "improvement_over_parent": null }, "node_1727": { "node_id": "node_1727", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.11 kg\n Factor of Safety: 1.53\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.10979382651863, "fos_buckling": 1.5319539189938378, "fos_yielding": 6.236822409887416, "deflection": 0.001498593187224324, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_1726", "improvement_over_parent": null }, "node_1728": { "node_id": "node_1728", "content": "MODIFICATION: Increase 11 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.00141130732223, "fos_buckling": 1.5511083839225344, "fos_yielding": 6.314803212466094, "deflection": 0.0014911181568148918, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.238)" }, "parent_node_id": "node_1727", "improvement_over_parent": null }, "node_1729": { "node_id": "node_1729", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1728", "improvement_over_parent": null }, "node_1730": { "node_id": "node_1730", "content": "INITIAL DESIGN (Trace 250)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1731": { "node_id": "node_1731", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 163.49 kg\n Factor of Safety: 0.83\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.48506920945044, "fos_buckling": 0.833252074783501, "fos_yielding": 4.693379682818665, "deflection": 0.002047524792941252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003291)" }, "parent_node_id": "node_1730", "improvement_over_parent": null }, "node_1732": { "node_id": "node_1732", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 182.82 kg\n Factor of Safety: 0.91\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8248573607827, "fos_buckling": 0.9108750968287368, "fos_yielding": 5.237146709726342, "deflection": 0.0018352949285741322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_1731", "improvement_over_parent": null }, "node_1733": { "node_id": "node_1733", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 186.66 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.65572804461613, "fos_buckling": 0.910496013795635, "fos_yielding": 6.18913732594263, "deflection": 0.0017212996314084816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1732", "improvement_over_parent": null }, "node_1734": { "node_id": "node_1734", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26433381460492, "fos_buckling": 1.552759000996505, "fos_yielding": 6.323068538941751, "deflection": 0.0014891902527015247, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1733", "improvement_over_parent": null }, "node_1735": { "node_id": "node_1735", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1734", "improvement_over_parent": null }, "node_1736": { "node_id": "node_1736", "content": "INITIAL DESIGN (Trace 251)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 155.78 kg\n Factor of Safety: 0.31\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.77546117921466, "fos_buckling": 0.3075956030731157, "fos_yielding": 1.9518412847741389, "deflection": 0.011245672717128357, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1737": { "node_id": "node_1737", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 162.00 kg\n Factor of Safety: 1.20\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.00066051732927, "fos_buckling": 1.195091192669111, "fos_yielding": 5.329382193267397, "deflection": 0.0018351124166773101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002801)" }, "parent_node_id": "node_1736", "improvement_over_parent": null }, "node_1738": { "node_id": "node_1738", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 168.71 kg\n Factor of Safety: 1.28\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.7133432430654, "fos_buckling": 1.2813323498625835, "fos_yielding": 5.4038523428161795, "deflection": 0.0017725587366054971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002390)" }, "parent_node_id": "node_1737", "improvement_over_parent": null }, "node_1739": { "node_id": "node_1739", "content": "MODIFICATION: Increase 14 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 172.13 kg\n Factor of Safety: 1.27\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.13263041507545, "fos_buckling": 1.266416876213416, "fos_yielding": 5.384255981152064, "deflection": 0.0017170097220346155, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.626)" }, "parent_node_id": "node_1738", "improvement_over_parent": null }, "node_1740": { "node_id": "node_1740", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0054)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 201.70 kg\n Factor of Safety: 1.44\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.69904199365075, "fos_buckling": 1.438432312586373, "fos_yielding": 6.291502537322075, "deflection": 0.0014704964671287887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_1739", "improvement_over_parent": null }, "node_1741": { "node_id": "node_1741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1740", "improvement_over_parent": null }, "node_1742": { "node_id": "node_1742", "content": "INITIAL DESIGN (Trace 252)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 136.71 kg\n Factor of Safety: 0.83\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.7070172166441, "fos_buckling": 0.8255185202604345, "fos_yielding": 3.3243630887709767, "deflection": 0.00236435639946874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1743": { "node_id": "node_1743", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 139.46 kg\n Factor of Safety: 0.86\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.45855403743224, "fos_buckling": 0.8565187346236046, "fos_yielding": 3.4492009522999485, "deflection": 0.0021915185337256183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001687)" }, "parent_node_id": "node_1742", "improvement_over_parent": null }, "node_1744": { "node_id": "node_1744", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 161.26 kg\n Factor of Safety: 0.98\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.26109131039013, "fos_buckling": 0.9775350036026663, "fos_yielding": 3.9866929522775303, "deflection": 0.001899676358677924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_1743", "improvement_over_parent": null }, "node_1745": { "node_id": "node_1745", "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 162.92 kg\n Factor of Safety: 0.98\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.91581849531866, "fos_buckling": 0.9796154463969342, "fos_yielding": 3.995177647551824, "deflection": 0.0018920095631188745, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.541)" }, "parent_node_id": "node_1744", "improvement_over_parent": null }, "node_1746": { "node_id": "node_1746", "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 165.47 kg\n Factor of Safety: 0.97\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.4705310852834, "fos_buckling": 0.9674972856167748, "fos_yielding": 3.9457560043382536, "deflection": 0.0018760154580462496, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.244)" }, "parent_node_id": "node_1745", "improvement_over_parent": null }, "node_1747": { "node_id": "node_1747", "content": "MODIFICATION: Increase 14 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0051)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 173.04 kg\n Factor of Safety: 0.96\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.03702071102242, "fos_buckling": 0.9594898218477254, "fos_yielding": 3.913099066984568, "deflection": 0.0018395463827013726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.504)" }, "parent_node_id": "node_1746", "improvement_over_parent": null }, "node_1748": { "node_id": "node_1748", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0047)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0062)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 208.05 kg\n Factor of Safety: 1.13\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.04957742077266, "fos_buckling": 1.1331717353545592, "fos_yielding": 4.713301525627488, "deflection": 0.0015335973786797619, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_1747", "improvement_over_parent": null }, "node_1749": { "node_id": "node_1749", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1748", "improvement_over_parent": null }, "node_1750": { "node_id": "node_1750", "content": "INITIAL DESIGN (Trace 253)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 157.59 kg\n Factor of Safety: 0.80\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.59378665228056, "fos_buckling": 0.8041617850782545, "fos_yielding": 5.3185612943555265, "deflection": 0.00201074425328338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1751": { "node_id": "node_1751", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 172.68 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.67783627807395, "fos_buckling": 1.3531319116084801, "fos_yielding": 5.370737750178245, "deflection": 0.0017412259608856407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003269)" }, "parent_node_id": "node_1750", "improvement_over_parent": null }, "node_1752": { "node_id": "node_1752", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 174.90 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.8977234424557, "fos_buckling": 1.3680915185468427, "fos_yielding": 5.430114167970494, "deflection": 0.001733511857742464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.205)" }, "parent_node_id": "node_1751", "improvement_over_parent": null }, "node_1753": { "node_id": "node_1753", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03689533670365, "fos_buckling": 1.5513237402795708, "fos_yielding": 6.315825547476172, "deflection": 0.0014909132517469332, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_1752", "improvement_over_parent": null }, "node_1754": { "node_id": "node_1754", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1753", "improvement_over_parent": null }, "node_1755": { "node_id": "node_1755", "content": "INITIAL DESIGN (Trace 254)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 132.01 kg\n Factor of Safety: 0.59\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.0149858529876, "fos_buckling": 0.5911570194158432, "fos_yielding": 4.299581744734128, "deflection": 0.002591053093310149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1756": { "node_id": "node_1756", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n\nPerformance:\n Mass: 146.73 kg\n Factor of Safety: 0.64\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.72673098945694, "fos_buckling": 0.644741527906738, "fos_yielding": 4.770399343730853, "deflection": 0.002336947677882052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1755", "improvement_over_parent": null }, "node_1757": { "node_id": "node_1757", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n\nPerformance:\n Mass: 149.16 kg\n Factor of Safety: 0.64\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.1612637397679, "fos_buckling": 0.6445694696649432, "fos_yielding": 4.769111144349362, "deflection": 0.0023380550792428396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.215)" }, "parent_node_id": "node_1756", "improvement_over_parent": null }, "node_1758": { "node_id": "node_1758", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 167.58 kg\n Factor of Safety: 0.95\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.58212571023063, "fos_buckling": 0.9512621835076877, "fos_yielding": 4.764243860611175, "deflection": 0.0019867108196729086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003735)" }, "parent_node_id": "node_1757", "improvement_over_parent": null }, "node_1759": { "node_id": "node_1759", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n\nPerformance:\n Mass: 171.06 kg\n Factor of Safety: 0.95\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.0558074885539, "fos_buckling": 0.9508906205973567, "fos_yielding": 4.80671194114572, "deflection": 0.0017837502762414765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002168)" }, "parent_node_id": "node_1758", "improvement_over_parent": null }, "node_1760": { "node_id": "node_1760", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0033)]\n\nPerformance:\n Mass: 185.20 kg\n Factor of Safety: 1.43\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.19571981582243, "fos_buckling": 1.434346140543483, "fos_yielding": 5.744091340766494, "deflection": 0.0016389710605719738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003272)" }, "parent_node_id": "node_1759", "improvement_over_parent": null }, "node_1761": { "node_id": "node_1761", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07019536306794, "fos_buckling": 1.5515962042103097, "fos_yielding": 6.317218232481422, "deflection": 0.0014906017376294114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_1760", "improvement_over_parent": null }, "node_1762": { "node_id": "node_1762", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1761", "improvement_over_parent": null }, "node_1763": { "node_id": "node_1763", "content": "INITIAL DESIGN (Trace 255)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1764": { "node_id": "node_1764", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n\nPerformance:\n Mass: 187.91 kg\n Factor of Safety: 1.29\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.91457002010173, "fos_buckling": 1.286386051189466, "fos_yielding": 5.237863780544568, "deflection": 0.0016526629943997909, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002272)" }, "parent_node_id": "node_1763", "improvement_over_parent": null }, "node_1765": { "node_id": "node_1765", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 191.75 kg\n Factor of Safety: 1.34\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.74544070393517, "fos_buckling": 1.3397069424226897, "fos_yielding": 6.117990713047557, "deflection": 0.0015484809473504148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1764", "improvement_over_parent": null }, "node_1766": { "node_id": "node_1766", "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0057)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 198.51 kg\n Factor of Safety: 1.36\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.51237262324233, "fos_buckling": 1.3580308142541762, "fos_yielding": 6.112213847137939, "deflection": 0.0015263280315406338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.381)" }, "parent_node_id": "node_1765", "improvement_over_parent": null }, "node_1767": { "node_id": "node_1767", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0057)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 199.48 kg\n Factor of Safety: 1.37\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.4847947862248, "fos_buckling": 1.3665919694187223, "fos_yielding": 6.110149183096392, "deflection": 0.0015159909042872658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.280)" }, "parent_node_id": "node_1766", "improvement_over_parent": null }, "node_1768": { "node_id": "node_1768", "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0050)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0057)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 208.47 kg\n Factor of Safety: 1.51\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.47112473242743, "fos_buckling": 1.506332644648293, "fos_yielding": 6.133434977439075, "deflection": 0.0014724675721308582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.637)" }, "parent_node_id": "node_1767", "improvement_over_parent": null }, "node_1769": { "node_id": "node_1769", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1768", "improvement_over_parent": null }, "node_1770": { "node_id": "node_1770", "content": "INITIAL DESIGN (Trace 256)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1771": { "node_id": "node_1771", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 138.88 kg\n Factor of Safety: 0.42\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.88058469886096, "fos_buckling": 0.4245146923239562, "fos_yielding": 1.8980662043678012, "deflection": 0.007265464348834849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001986)" }, "parent_node_id": "node_1770", "improvement_over_parent": null }, "node_1772": { "node_id": "node_1772", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 172.33 kg\n Factor of Safety: 0.51\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.32860542041703, "fos_buckling": 0.5069285710779584, "fos_yielding": 2.3426555521775425, "deflection": 0.00588917636203929, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_1771", "improvement_over_parent": null }, "node_1773": { "node_id": "node_1773", "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 175.82 kg\n Factor of Safety: 0.51\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.82339517538543, "fos_buckling": 0.5066348178130604, "fos_yielding": 2.3413074107595024, "deflection": 0.0057678687755289455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.253)" }, "parent_node_id": "node_1772", "improvement_over_parent": null }, "node_1774": { "node_id": "node_1774", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 183.12 kg\n Factor of Safety: 0.91\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.1189212285884, "fos_buckling": 0.9095292987838284, "fos_yielding": 5.231494379019353, "deflection": 0.001820233083794508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1773", "improvement_over_parent": null }, "node_1775": { "node_id": "node_1775", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 186.95 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.94979191242183, "fos_buckling": 0.9091510701307987, "fos_yielding": 6.15924821194243, "deflection": 0.0017163608344376092, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1774", "improvement_over_parent": null }, "node_1776": { "node_id": "node_1776", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.55839768241066, "fos_buckling": 1.5278455351513094, "fos_yielding": 6.220658327339695, "deflection": 0.0014909263389943376, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1775", "improvement_over_parent": null }, "node_1777": { "node_id": "node_1777", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1776", "improvement_over_parent": null }, "node_1778": { "node_id": "node_1778", "content": "INITIAL DESIGN (Trace 257)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 100.40 kg\n Factor of Safety: 0.84\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.39612327664082, "fos_buckling": 0.8421786490531603, "fos_yielding": 3.141243544206619, "deflection": 0.0029939687552634113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1779": { "node_id": "node_1779", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 129.77 kg\n Factor of Safety: 1.06\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.7665353993528, "fos_buckling": 1.0594520984362648, "fos_yielding": 4.047840087197466, "deflection": 0.0023242132194199556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_1778", "improvement_over_parent": null }, "node_1780": { "node_id": "node_1780", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 169.52 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.51796637683094, "fos_buckling": 1.332907727873159, "fos_yielding": 5.2661201944558025, "deflection": 0.0017873542072829264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_1779", "improvement_over_parent": null }, "node_1781": { "node_id": "node_1781", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2474975022468, "fos_buckling": 1.552618677973189, "fos_yielding": 6.322338437695035, "deflection": 0.0014893568817119375, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_1780", "improvement_over_parent": null }, "node_1782": { "node_id": "node_1782", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1781", "improvement_over_parent": null }, "node_1783": { "node_id": "node_1783", "content": "INITIAL DESIGN (Trace 258)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 146.12 kg\n Factor of Safety: 0.85\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.12361210500765, "fos_buckling": 0.8529374510413623, "fos_yielding": 4.127065628683893, "deflection": 0.002275901676207281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1784": { "node_id": "node_1784", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.59 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.58772090088266, "fos_buckling": 1.0519731658949132, "fos_yielding": 5.248705423753641, "deflection": 0.0017882789293991394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_1783", "improvement_over_parent": null }, "node_1785": { "node_id": "node_1785", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 190.42 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.4185915847161, "fos_buckling": 1.0506235483963504, "fos_yielding": 5.248621093200692, "deflection": 0.0017890545295213048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1784", "improvement_over_parent": null }, "node_1786": { "node_id": "node_1786", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.29 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.28894945567396, "fos_buckling": 1.5528599366258284, "fos_yielding": 6.323608090584691, "deflection": 0.001489044072026474, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_1785", "improvement_over_parent": null }, "node_1787": { "node_id": "node_1787", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1786", "improvement_over_parent": null }, "node_1788": { "node_id": "node_1788", "content": "INITIAL DESIGN (Trace 259)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 155.54 kg\n Factor of Safety: 0.89\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.5402922562945, "fos_buckling": 0.8946962634326303, "fos_yielding": 3.626993123520065, "deflection": 0.0021370439696542596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1789": { "node_id": "node_1789", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n\nPerformance:\n Mass: 157.45 kg\n Factor of Safety: 0.93\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.44653086103236, "fos_buckling": 0.9283813884815775, "fos_yielding": 3.763548647345213, "deflection": 0.0019797937623395817, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001146)" }, "parent_node_id": "node_1788", "improvement_over_parent": null }, "node_1790": { "node_id": "node_1790", "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n\nPerformance:\n Mass: 159.08 kg\n Factor of Safety: 0.93\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.0784527683978, "fos_buckling": 0.9309779183378525, "fos_yielding": 3.7740746731247232, "deflection": 0.001969375721565118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.560)" }, "parent_node_id": "node_1789", "improvement_over_parent": null }, "node_1791": { "node_id": "node_1791", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 202.38 kg\n Factor of Safety: 1.16\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.38248551779563, "fos_buckling": 1.1558662326403968, "fos_yielding": 4.801922696421494, "deflection": 0.001554169455544455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1790", "improvement_over_parent": null }, "node_1792": { "node_id": "node_1792", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0035)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 205.11 kg\n Factor of Safety: 1.26\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.10874217266223, "fos_buckling": 1.2607437874440692, "fos_yielding": 6.236174736896513, "deflection": 0.0014856198433436927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.621)" }, "parent_node_id": "node_1791", "improvement_over_parent": null }, "node_1793": { "node_id": "node_1793", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1792", "improvement_over_parent": null }, "node_1794": { "node_id": "node_1794", "content": "INITIAL DESIGN (Trace 260)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 147.61 kg\n Factor of Safety: 0.59\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.6133618979531, "fos_buckling": 0.5871021570123117, "fos_yielding": 4.399775530183704, "deflection": 0.0024141870276410907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1795": { "node_id": "node_1795", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 181.53 kg\n Factor of Safety: 0.69\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.53181915410076, "fos_buckling": 0.6936490270675436, "fos_yielding": 5.373361987926412, "deflection": 0.0019776688904982777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_1794", "improvement_over_parent": null }, "node_1796": { "node_id": "node_1796", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.84 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.8420063775037, "fos_buckling": 1.537074635632815, "fos_yielding": 6.259456948207651, "deflection": 0.0014951008515497527, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_1795", "improvement_over_parent": null }, "node_1797": { "node_id": "node_1797", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30325007041853, "fos_buckling": 1.5530598908554794, "fos_yielding": 6.324553993304083, "deflection": 0.0014888969781310499, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.196)" }, "parent_node_id": "node_1796", "improvement_over_parent": null }, "node_1798": { "node_id": "node_1798", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1797", "improvement_over_parent": null }, "node_1799": { "node_id": "node_1799", "content": "INITIAL DESIGN (Trace 261)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 168.25 kg\n Factor of Safety: 0.31\n Max Deflection: 9.58e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.24783593900406, "fos_buckling": 0.31203008358754875, "fos_yielding": 2.299029823449151, "deflection": 9584975474942.502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1800": { "node_id": "node_1800", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 175.54 kg\n Factor of Safety: 0.86\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.54336199220702, "fos_buckling": 0.8611156595599166, "fos_yielding": 5.249446746372387, "deflection": 0.001861672335887195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1799", "improvement_over_parent": null }, "node_1801": { "node_id": "node_1801", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 178.04 kg\n Factor of Safety: 0.86\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.04080170128, "fos_buckling": 0.8608737294836976, "fos_yielding": 5.296813413661945, "deflection": 0.0017069563132948026, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001522)" }, "parent_node_id": "node_1800", "improvement_over_parent": null }, "node_1802": { "node_id": "node_1802", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 182.79 kg\n Factor of Safety: 0.86\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.78673247202406, "fos_buckling": 0.8613335900241773, "fos_yielding": 5.295422134940753, "deflection": 0.0016948165090322704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.264)" }, "parent_node_id": "node_1801", "improvement_over_parent": null }, "node_1803": { "node_id": "node_1803", "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0040)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 184.86 kg\n Factor of Safety: 0.86\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.8649869545744, "fos_buckling": 0.8615351187702684, "fos_yielding": 5.294813120722898, "deflection": 0.0016843897896515936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.585)" }, "parent_node_id": "node_1802", "improvement_over_parent": null }, "node_1804": { "node_id": "node_1804", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0040)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 200.46 kg\n Factor of Safety: 1.43\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.4598070249682, "fos_buckling": 1.425449991680679, "fos_yielding": 6.093244029129226, "deflection": 0.0015085883988831253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1803", "improvement_over_parent": null }, "node_1805": { "node_id": "node_1805", "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0040)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 208.09 kg\n Factor of Safety: 1.41\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.09170873859017, "fos_buckling": 1.406447794355016, "fos_yielding": 6.0950190786314735, "deflection": 0.001492752321644782, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.502)" }, "parent_node_id": "node_1804", "improvement_over_parent": null }, "node_1806": { "node_id": "node_1806", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1805", "improvement_over_parent": null }, "node_1807": { "node_id": "node_1807", "content": "INITIAL DESIGN (Trace 262)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 149.99 kg\n Factor of Safety: 0.78\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.99371314569945, "fos_buckling": 0.7816339386287325, "fos_yielding": 3.7129632343839174, "deflection": 0.002136386392421397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1808": { "node_id": "node_1808", "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 151.10 kg\n Factor of Safety: 0.78\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.0960725518695, "fos_buckling": 0.7814454669588569, "fos_yielding": 5.107170254384879, "deflection": 0.0020854024141418073, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.416)" }, "parent_node_id": "node_1807", "improvement_over_parent": null }, "node_1809": { "node_id": "node_1809", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 165.66 kg\n Factor of Safety: 1.31\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.65822123698888, "fos_buckling": 1.3055414916219934, "fos_yielding": 5.155136767225012, "deflection": 0.0018069280697280915, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003147)" }, "parent_node_id": "node_1808", "improvement_over_parent": null }, "node_1810": { "node_id": "node_1810", "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 168.86 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.85966928773053, "fos_buckling": 1.3286032846649114, "fos_yielding": 5.246199899263784, "deflection": 0.0017941403519161838, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.337)" }, "parent_node_id": "node_1809", "improvement_over_parent": null }, "node_1811": { "node_id": "node_1811", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.22459550625962, "fos_buckling": 1.552513400150209, "fos_yielding": 6.321849024993239, "deflection": 0.0014894826440007226, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_1810", "improvement_over_parent": null }, "node_1812": { "node_id": "node_1812", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1811", "improvement_over_parent": null }, "node_1813": { "node_id": "node_1813", "content": "INITIAL DESIGN (Trace 263)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 103.33 kg\n Factor of Safety: 0.78\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.3257007474408, "fos_buckling": 0.7839703425798441, "fos_yielding": 3.1361434844622225, "deflection": 0.002929056321227446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1814": { "node_id": "node_1814", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 128.28 kg\n Factor of Safety: 0.95\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.28287660050353, "fos_buckling": 0.9539015006719413, "fos_yielding": 3.8834165852613727, "deflection": 0.0023659209314741297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_1813", "improvement_over_parent": null }, "node_1815": { "node_id": "node_1815", "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 128.98 kg\n Factor of Safety: 0.99\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.97523215557237, "fos_buckling": 0.9928359770775809, "fos_yielding": 4.053664412729098, "deflection": 0.002330812115163706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.185)" }, "parent_node_id": "node_1814", "improvement_over_parent": null }, "node_1816": { "node_id": "node_1816", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 168.74 kg\n Factor of Safety: 1.25\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.73587047658293, "fos_buckling": 1.2512259000755914, "fos_yielding": 5.280715137457248, "deflection": 0.00178994146059756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_1815", "improvement_over_parent": null }, "node_1817": { "node_id": "node_1817", "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 170.05 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.0538247399425, "fos_buckling": 1.3364300559291602, "fos_yielding": 5.282464829109774, "deflection": 0.0017817729662895512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.178)" }, "parent_node_id": "node_1816", "improvement_over_parent": null }, "node_1818": { "node_id": "node_1818", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1203890506234, "fos_buckling": 1.5518430414646303, "fos_yielding": 6.318474345688787, "deflection": 0.0014902145540819684, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_1817", "improvement_over_parent": null }, "node_1819": { "node_id": "node_1819", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1818", "improvement_over_parent": null }, "node_1820": { "node_id": "node_1820", "content": "INITIAL DESIGN (Trace 264)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 135.62 kg\n Factor of Safety: 0.55\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.61791259666262, "fos_buckling": 0.5518033777775624, "fos_yielding": 4.0229972785815, "deflection": 0.002700065365901608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1821": { "node_id": "node_1821", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 141.64 kg\n Factor of Safety: 0.80\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.6413258746962, "fos_buckling": 0.8039182900026203, "fos_yielding": 4.025684769259177, "deflection": 0.0025362104904302035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.577)" }, "parent_node_id": "node_1820", "improvement_over_parent": null }, "node_1822": { "node_id": "node_1822", "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 142.31 kg\n Factor of Safety: 0.80\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.30936395717967, "fos_buckling": 0.8038003681526275, "fos_yielding": 4.025088336899545, "deflection": 0.00251118836579434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.212)" }, "parent_node_id": "node_1821", "improvement_over_parent": null }, "node_1823": { "node_id": "node_1823", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0031)]\n\nPerformance:\n Mass: 155.57 kg\n Factor of Safety: 0.80\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.5743398925961, "fos_buckling": 0.8003038660474395, "fos_yielding": 4.294499124557653, "deflection": 0.002493433225014489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003053)" }, "parent_node_id": "node_1822", "improvement_over_parent": null }, "node_1824": { "node_id": "node_1824", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0031)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 167.37 kg\n Factor of Safety: 0.80\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.37313481832544, "fos_buckling": 0.7982448409469391, "fos_yielding": 5.281436750434195, "deflection": 0.0020194934449112778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003163)" }, "parent_node_id": "node_1823", "improvement_over_parent": null }, "node_1825": { "node_id": "node_1825", "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 170.34 kg\n Factor of Safety: 0.80\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.34270416090766, "fos_buckling": 0.7974702573465314, "fos_yielding": 5.276311863828447, "deflection": 0.0020039749585440644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.247)" }, "parent_node_id": "node_1824", "improvement_over_parent": null }, "node_1826": { "node_id": "node_1826", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0038)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 173.87 kg\n Factor of Safety: 1.33\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.8742620046094, "fos_buckling": 1.3302187575123894, "fos_yielding": 5.377837876687338, "deflection": 0.0017502623270890436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002106)" }, "parent_node_id": "node_1825", "improvement_over_parent": null }, "node_1827": { "node_id": "node_1827", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0045)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.39304019354375, "fos_buckling": 1.5134724333699223, "fos_yielding": 6.303017858950672, "deflection": 0.001493932244167823, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_1826", "improvement_over_parent": null }, "node_1828": { "node_id": "node_1828", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1827", "improvement_over_parent": null }, "node_1829": { "node_id": "node_1829", "content": "INITIAL DESIGN (Trace 265)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 124.59 kg\n Factor of Safety: 0.23\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.5871161303897, "fos_buckling": 0.23166614018568246, "fos_yielding": 1.854418862688247, "deflection": 0.006022930636891493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1830": { "node_id": "node_1830", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 150.34 kg\n Factor of Safety: 0.27\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.33705070389638, "fos_buckling": 0.2715225016160516, "fos_yielding": 2.231488586118584, "deflection": 0.005005058911772486, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_1829", "improvement_over_parent": null }, "node_1831": { "node_id": "node_1831", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n\nPerformance:\n Mass: 180.22 kg\n Factor of Safety: 1.40\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.22142668707733, "fos_buckling": 1.4023674731170348, "fos_yielding": 5.592706789041904, "deflection": 0.0016832999206504297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004682)" }, "parent_node_id": "node_1830", "improvement_over_parent": null }, "node_1832": { "node_id": "node_1832", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3310497834655, "fos_buckling": 1.5529620393453791, "fos_yielding": 6.325160233755891, "deflection": 0.001488788904191527, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1831", "improvement_over_parent": null }, "node_1833": { "node_id": "node_1833", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1832", "improvement_over_parent": null }, "node_1834": { "node_id": "node_1834", "content": "INITIAL DESIGN (Trace 266)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1835": { "node_id": "node_1835", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 182.70 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.70188147851346, "fos_buckling": 0.9105047064191848, "fos_yielding": 6.154143979835607, "deflection": 0.0017314031947081674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1834", "improvement_over_parent": null }, "node_1836": { "node_id": "node_1836", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.31048724850228, "fos_buckling": 1.5253992363676299, "fos_yielding": 6.211069689112752, "deflection": 0.001500393869759965, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_1835", "improvement_over_parent": null }, "node_1837": { "node_id": "node_1837", "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0049)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.99 kg\n Factor of Safety: 1.52\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.99284662734289, "fos_buckling": 1.5209101831873102, "fos_yielding": 6.1927913122286276, "deflection": 0.0014910035599686629, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.342)" }, "parent_node_id": "node_1836", "improvement_over_parent": null }, "node_1838": { "node_id": "node_1838", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1837", "improvement_over_parent": null }, "node_1839": { "node_id": "node_1839", "content": "INITIAL DESIGN (Trace 267)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 114.84 kg\n Factor of Safety: 0.61\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.84312139271523, "fos_buckling": 0.612627011421399, "fos_yielding": 3.0359622872326253, "deflection": 0.0030861938511291824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1840": { "node_id": "node_1840", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 144.49 kg\n Factor of Safety: 0.75\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.4935982594942, "fos_buckling": 0.7506318566773235, "fos_yielding": 3.8082836495764063, "deflection": 0.0024586909449870907, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_1839", "improvement_over_parent": null }, "node_1841": { "node_id": "node_1841", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 161.29 kg\n Factor of Safety: 1.28\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.29069522813273, "fos_buckling": 1.2781733645587439, "fos_yielding": 5.014464628091555, "deflection": 0.001876798446416732, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003293)" }, "parent_node_id": "node_1840", "improvement_over_parent": null }, "node_1842": { "node_id": "node_1842", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 203.90 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.9042966585609, "fos_buckling": 1.5504544971737715, "fos_yielding": 6.311528569455455, "deflection": 0.0014918434957270136, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1841", "improvement_over_parent": null }, "node_1843": { "node_id": "node_1843", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1842", "improvement_over_parent": null }, "node_1844": { "node_id": "node_1844", "content": "INITIAL DESIGN (Trace 268)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 191.88 kg\n Factor of Safety: 0.51\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.87743253931268, "fos_buckling": 0.5063247825644663, "fos_yielding": 2.333588695487164, "deflection": 0.005624330472527114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1845": { "node_id": "node_1845", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 196.03 kg\n Factor of Safety: 0.51\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.02880758623454, "fos_buckling": 0.5062087362720051, "fos_yielding": 3.5010015053207577, "deflection": 0.004056659634341345, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1844", "improvement_over_parent": null }, "node_1846": { "node_id": "node_1846", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87542373784945, "fos_buckling": 0.5061850767480954, "fos_yielding": 3.5006761712681365, "deflection": 0.004054312368684737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.236)" }, "parent_node_id": "node_1845", "improvement_over_parent": null }, "node_1847": { "node_id": "node_1847", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1709497910524, "fos_buckling": 1.5521411246932193, "fos_yielding": 6.319956417287745, "deflection": 0.0014898926882692851, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1846", "improvement_over_parent": null }, "node_1848": { "node_id": "node_1848", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1847", "improvement_over_parent": null }, "node_1849": { "node_id": "node_1849", "content": "INITIAL DESIGN (Trace 269)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 160.35 kg\n Factor of Safety: 1.11\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.35108999721405, "fos_buckling": 1.1126993506566079, "fos_yielding": 5.1259621269070825, "deflection": 0.0018611688359867287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1850": { "node_id": "node_1850", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n\nPerformance:\n Mass: 165.59 kg\n Factor of Safety: 1.31\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.5924966415051, "fos_buckling": 1.3136832982462634, "fos_yielding": 5.178003684904039, "deflection": 0.0018197480178433684, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001834)" }, "parent_node_id": "node_1849", "improvement_over_parent": null }, "node_1851": { "node_id": "node_1851", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 202.86 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.86268230093958, "fos_buckling": 1.551611018855915, "fos_yielding": 6.318469994517421, "deflection": 0.0014918891008068585, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.247)" }, "parent_node_id": "node_1850", "improvement_over_parent": null }, "node_1852": { "node_id": "node_1852", "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 205.28 kg\n Factor of Safety: 1.54\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.2812454320918, "fos_buckling": 1.5360283746187717, "fos_yielding": 6.321216863031766, "deflection": 0.0014837472871359076, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.244)" }, "parent_node_id": "node_1851", "improvement_over_parent": null }, "node_1853": { "node_id": "node_1853", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1852", "improvement_over_parent": null }, "node_1854": { "node_id": "node_1854", "content": "INITIAL DESIGN (Trace 270)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 133.31 kg\n Factor of Safety: 0.61\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.30803218387098, "fos_buckling": 0.6107876607179569, "fos_yielding": 4.8172450623587455, "deflection": 0.0023186082548348206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1855": { "node_id": "node_1855", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 147.24 kg\n Factor of Safety: 0.98\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.2371061258648, "fos_buckling": 0.9780872262631493, "fos_yielding": 4.85508639198033, "deflection": 0.00198981822907002, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003000)" }, "parent_node_id": "node_1854", "improvement_over_parent": null }, "node_1856": { "node_id": "node_1856", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 186.40 kg\n Factor of Safety: 1.22\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.4027755330689, "fos_buckling": 1.215656124900755, "fos_yielding": 6.117182481667897, "deflection": 0.001579006471402298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_1855", "improvement_over_parent": null }, "node_1857": { "node_id": "node_1857", "content": "MODIFICATION: Increase 13 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 194.08 kg\n Factor of Safety: 1.37\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.0836111965466, "fos_buckling": 1.3677275370443671, "fos_yielding": 6.145220836794506, "deflection": 0.0015291178383842875, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.621)" }, "parent_node_id": "node_1856", "improvement_over_parent": null }, "node_1858": { "node_id": "node_1858", "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 199.89 kg\n Factor of Safety: 1.37\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.89295908722676, "fos_buckling": 1.37106995766179, "fos_yielding": 6.326610233972673, "deflection": 0.0015113769585537874, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.610)" }, "parent_node_id": "node_1857", "improvement_over_parent": null }, "node_1859": { "node_id": "node_1859", "content": "MODIFICATION: Increase 15 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0050)]\n\nPerformance:\n Mass: 204.46 kg\n Factor of Safety: 1.42\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.46083672394002, "fos_buckling": 1.42493603927548, "fos_yielding": 6.323696012387165, "deflection": 0.0014980929925355526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.294)" }, "parent_node_id": "node_1858", "improvement_over_parent": null }, "node_1860": { "node_id": "node_1860", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1859", "improvement_over_parent": null }, "node_1861": { "node_id": "node_1861", "content": "INITIAL DESIGN (Trace 271)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 112.21 kg\n Factor of Safety: 0.21\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.21314385557876, "fos_buckling": 0.2085721776368249, "fos_yielding": 1.5523274337259598, "deflection": 10244748566106.908, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1862": { "node_id": "node_1862", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n\nPerformance:\n Mass: 128.67 kg\n Factor of Safety: 0.56\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.66776954752282, "fos_buckling": 0.5645955437759549, "fos_yielding": 4.082529969813909, "deflection": 0.002716504232553998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003221)" }, "parent_node_id": "node_1861", "improvement_over_parent": null }, "node_1863": { "node_id": "node_1863", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 144.24 kg\n Factor of Safety: 0.62\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.23845478684532, "fos_buckling": 0.6207304456322282, "fos_yielding": 4.569076288469132, "deflection": 0.002427759447971123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_1862", "improvement_over_parent": null }, "node_1864": { "node_id": "node_1864", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 161.88 kg\n Factor of Safety: 0.93\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.87652819965584, "fos_buckling": 0.9323334024888225, "fos_yielding": 4.564606122715957, "deflection": 0.0020571437209405646, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003563)" }, "parent_node_id": "node_1863", "improvement_over_parent": null }, "node_1865": { "node_id": "node_1865", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 173.92 kg\n Factor of Safety: 1.14\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.9198297146759, "fos_buckling": 1.144648590998764, "fos_yielding": 4.552441629834078, "deflection": 0.0018576881216256008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003234)" }, "parent_node_id": "node_1864", "improvement_over_parent": null }, "node_1866": { "node_id": "node_1866", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 177.25 kg\n Factor of Safety: 1.38\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.24565642476293, "fos_buckling": 1.3832909857010947, "fos_yielding": 5.5015587482487724, "deflection": 0.0017109810919857709, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002068)" }, "parent_node_id": "node_1865", "improvement_over_parent": null }, "node_1867": { "node_id": "node_1867", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18900632492245, "fos_buckling": 1.5522154513653217, "fos_yielding": 6.320298863927742, "deflection": 0.001489804274974018, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1866", "improvement_over_parent": null }, "node_1868": { "node_id": "node_1868", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1867", "improvement_over_parent": null }, "node_1869": { "node_id": "node_1869", "content": "INITIAL DESIGN (Trace 272)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 175.24 kg\n Factor of Safety: 0.33\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.24276467935647, "fos_buckling": 0.32505633682051194, "fos_yielding": 2.340734663905531, "deflection": 0.006583881019728281, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1870": { "node_id": "node_1870", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 179.39 kg\n Factor of Safety: 0.32\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.39413972627833, "fos_buckling": 0.32476713381723354, "fos_yielding": 2.5054931677324555, "deflection": 0.005851128122575659, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_1869", "improvement_over_parent": null }, "node_1871": { "node_id": "node_1871", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 180.07 kg\n Factor of Safety: 0.42\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.0715581299767, "fos_buckling": 0.4238825370034976, "fos_yielding": 3.368899114747204, "deflection": 0.0055724876201045815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.366)" }, "parent_node_id": "node_1870", "improvement_over_parent": null }, "node_1872": { "node_id": "node_1872", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 187.37 kg\n Factor of Safety: 1.05\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.36708418317966, "fos_buckling": 1.0529693422963702, "fos_yielding": 5.239399661940938, "deflection": 0.001800615182790688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1871", "improvement_over_parent": null }, "node_1873": { "node_id": "node_1873", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 190.30 kg\n Factor of Safety: 1.05\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.30435313977665, "fos_buckling": 1.053326724116363, "fos_yielding": 5.238544272228156, "deflection": 0.0018007557286459153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.203)" }, "parent_node_id": "node_1872", "improvement_over_parent": null }, "node_1874": { "node_id": "node_1874", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 191.49 kg\n Factor of Safety: 1.05\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.49219908305383, "fos_buckling": 1.0532917735943044, "fos_yielding": 5.237596481933321, "deflection": 0.0018009908053685524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.493)" }, "parent_node_id": "node_1873", "improvement_over_parent": null }, "node_1875": { "node_id": "node_1875", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 205.36 kg\n Factor of Safety: 1.43\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.3625569540117, "fos_buckling": 1.4339978565492133, "fos_yielding": 6.379559375130301, "deflection": 0.0014917829267580248, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_1874", "improvement_over_parent": null }, "node_1876": { "node_id": "node_1876", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1875", "improvement_over_parent": null }, "node_1877": { "node_id": "node_1877", "content": "INITIAL DESIGN (Trace 273)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 190.96 kg\n Factor of Safety: 1.20\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.95939763236424, "fos_buckling": 1.1969034028883725, "fos_yielding": 6.1873778046657675, "deflection": 0.0015583823165122397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1878": { "node_id": "node_1878", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 193.38 kg\n Factor of Safety: 1.19\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.37829114659905, "fos_buckling": 1.1877369688084116, "fos_yielding": 6.246506036533871, "deflection": 0.0015439594584356056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.232)" }, "parent_node_id": "node_1877", "improvement_over_parent": null }, "node_1879": { "node_id": "node_1879", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 196.52 kg\n Factor of Safety: 1.19\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.5185959448836, "fos_buckling": 1.189042557813165, "fos_yielding": 6.315743013657891, "deflection": 0.0015356396449176142, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.263)" }, "parent_node_id": "node_1878", "improvement_over_parent": null }, "node_1880": { "node_id": "node_1880", "content": "MODIFICATION: Increase 15 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1847180032025, "fos_buckling": 1.5521623479628743, "fos_yielding": 6.320042833488633, "deflection": 0.0014898604025105637, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.664)" }, "parent_node_id": "node_1879", "improvement_over_parent": null }, "node_1881": { "node_id": "node_1881", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1880", "improvement_over_parent": null }, "node_1882": { "node_id": "node_1882", "content": "INITIAL DESIGN (Trace 274)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 124.59 kg\n Factor of Safety: 0.69\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.58659696358953, "fos_buckling": 0.6876150697571696, "fos_yielding": 3.735193725050782, "deflection": 0.002658825844356384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1883": { "node_id": "node_1883", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 137.06 kg\n Factor of Safety: 0.96\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.06447696219385, "fos_buckling": 0.9648498506630929, "fos_yielding": 3.732604485650861, "deflection": 0.002306634515041767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002667)" }, "parent_node_id": "node_1882", "improvement_over_parent": null }, "node_1884": { "node_id": "node_1884", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 152.29 kg\n Factor of Safety: 1.06\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.2921083948711, "fos_buckling": 1.055689719568557, "fos_yielding": 4.1397672044935145, "deflection": 0.0020797518318698065, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_1883", "improvement_over_parent": null }, "node_1885": { "node_id": "node_1885", "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 156.72 kg\n Factor of Safety: 1.05\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.72076565772664, "fos_buckling": 1.0549123585305138, "fos_yielding": 4.1367188715679495, "deflection": 0.0020464405922991573, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.605)" }, "parent_node_id": "node_1884", "improvement_over_parent": null }, "node_1886": { "node_id": "node_1886", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 159.74 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.7352217249471, "fos_buckling": 1.27365285730659, "fos_yielding": 4.994484866957042, "deflection": 0.00188622210374978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001860)" }, "parent_node_id": "node_1885", "improvement_over_parent": null }, "node_1887": { "node_id": "node_1887", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0032)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 161.42 kg\n Factor of Safety: 1.27\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.42071395092285, "fos_buckling": 1.2700633007936848, "fos_yielding": 4.996403301966143, "deflection": 0.0018770267521136818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.209)" }, "parent_node_id": "node_1886", "improvement_over_parent": null }, "node_1888": { "node_id": "node_1888", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0041)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 205.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.05382338756726, "fos_buckling": 1.5451859537122021, "fos_yielding": 6.319951789256902, "deflection": 0.001484773775936025, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_1887", "improvement_over_parent": null }, "node_1889": { "node_id": "node_1889", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1888", "improvement_over_parent": null }, "node_1890": { "node_id": "node_1890", "content": "INITIAL DESIGN (Trace 275)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 128.64 kg\n Factor of Safety: 0.36\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.63760913044746, "fos_buckling": 0.3610459007514103, "fos_yielding": 2.3604856611636094, "deflection": 0.006058097134905347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1891": { "node_id": "node_1891", "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 129.56 kg\n Factor of Safety: 0.36\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.55968825542007, "fos_buckling": 0.36100887939621784, "fos_yielding": 2.3602445813940953, "deflection": 0.00603073068949663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.597)" }, "parent_node_id": "node_1890", "improvement_over_parent": null }, "node_1892": { "node_id": "node_1892", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n\nPerformance:\n Mass: 134.43 kg\n Factor of Safety: 1.09\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.43456281041523, "fos_buckling": 1.0926717552046583, "fos_yielding": 4.197884413539495, "deflection": 0.0022242245484733253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002156)" }, "parent_node_id": "node_1891", "improvement_over_parent": null }, "node_1893": { "node_id": "node_1893", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 153.54 kg\n Factor of Safety: 1.23\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.5439570673304, "fos_buckling": 1.2254180621436979, "fos_yielding": 4.785128664257033, "deflection": 0.0019518406343060654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1892", "improvement_over_parent": null }, "node_1894": { "node_id": "node_1894", "content": "MODIFICATION: Increase 11 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0034)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 156.12 kg\n Factor of Safety: 1.22\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.1219361527981, "fos_buckling": 1.2227766811615777, "fos_yielding": 4.774814349296912, "deflection": 0.001942327700449944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.236)" }, "parent_node_id": "node_1893", "improvement_over_parent": null }, "node_1895": { "node_id": "node_1895", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 185.54 kg\n Factor of Safety: 1.41\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.54414107881834, "fos_buckling": 1.41324379572366, "fos_yielding": 5.659435718867044, "deflection": 0.0016396937480138239, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1894", "improvement_over_parent": null }, "node_1896": { "node_id": "node_1896", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0045)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.77 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.76814817442062, "fos_buckling": 1.5309841756102027, "fos_yielding": 6.234954462418517, "deflection": 0.0014889256473559285, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_1895", "improvement_over_parent": null }, "node_1897": { "node_id": "node_1897", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1896", "improvement_over_parent": null }, "node_1898": { "node_id": "node_1898", "content": "INITIAL DESIGN (Trace 276)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 106.11 kg\n Factor of Safety: 0.03\n Max Deflection: 6.09e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.10976944435296, "fos_buckling": 0.030941705341925984, "fos_yielding": 0.26139213891142743, "deflection": 60943432460656.586, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1899": { "node_id": "node_1899", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 113.01 kg\n Factor of Safety: 0.12\n Max Deflection: 2.04e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.01413942962789, "fos_buckling": 0.12376682136770394, "fos_yielding": 0.8765757665735233, "deflection": 20365513948346.914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002464)" }, "parent_node_id": "node_1898", "improvement_over_parent": null }, "node_1900": { "node_id": "node_1900", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 127.27 kg\n Factor of Safety: 0.38\n Max Deflection: 3.25e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.27470284105567, "fos_buckling": 0.3780967505626863, "fos_yielding": 1.6720216897812008, "deflection": 3247129552137.0923, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003224)" }, "parent_node_id": "node_1899", "improvement_over_parent": null }, "node_1901": { "node_id": "node_1901", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 130.92 kg\n Factor of Safety: 0.38\n Max Deflection: 4.63e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.91761747996364, "fos_buckling": 0.3780967505626863, "fos_yielding": 2.991549557265205, "deflection": 4629202935306.9795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002178)" }, "parent_node_id": "node_1900", "improvement_over_parent": null }, "node_1902": { "node_id": "node_1902", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 149.15 kg\n Factor of Safety: 0.16\n Max Deflection: 1.27e+13 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.1487222378583, "fos_buckling": 0.1612845869034585, "fos_yielding": 0.9333681431046734, "deflection": 12670585435125.84, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_1901", "improvement_over_parent": null }, "node_1903": { "node_id": "node_1903", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 163.02 kg\n Factor of Safety: 0.30\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.01908010881615, "fos_buckling": 0.3009495837252719, "fos_yielding": 2.52565081508983, "deflection": 0.005795324524993634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_1902", "improvement_over_parent": null }, "node_1904": { "node_id": "node_1904", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 170.31 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.31460616201912, "fos_buckling": 0.3005850300461332, "fos_yielding": 2.522591381395111, "deflection": 0.004427354767116594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_1903", "improvement_over_parent": null }, "node_1905": { "node_id": "node_1905", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M6: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M7: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M8: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M9: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M10: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17249709038296, "fos_buckling": 1.5520571945481458, "fos_yielding": 6.320227567620131, "deflection": 0.0014898924298411462, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1904", "improvement_over_parent": null }, "node_1906": { "node_id": "node_1906", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1905", "improvement_over_parent": null }, "node_1907": { "node_id": "node_1907", "content": "INITIAL DESIGN (Trace 277)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 134.33 kg\n Factor of Safety: 0.27\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.32680138312068, "fos_buckling": 0.27193397451722895, "fos_yielding": 2.273514525135054, "deflection": 0.003331777356436554, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1908": { "node_id": "node_1908", "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 140.12 kg\n Factor of Safety: 0.27\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.1174610750383, "fos_buckling": 0.2714200036673901, "fos_yielding": 2.269217451940434, "deflection": 0.0033317202119835256, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.553)" }, "parent_node_id": "node_1907", "improvement_over_parent": null }, "node_1909": { "node_id": "node_1909", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 156.38 kg\n Factor of Safety: 0.79\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.38433630171824, "fos_buckling": 0.7920688783780001, "fos_yielding": 3.6423661788955255, "deflection": 0.002004723156896121, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003265)" }, "parent_node_id": "node_1908", "improvement_over_parent": null }, "node_1910": { "node_id": "node_1910", "content": "MODIFICATION: Increase 9 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 158.22 kg\n Factor of Safety: 1.01\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.21591698500077, "fos_buckling": 1.0139937261658258, "fos_yielding": 3.6174119165911534, "deflection": 0.001976991771617896, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.497)" }, "parent_node_id": "node_1909", "improvement_over_parent": null }, "node_1911": { "node_id": "node_1911", "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 161.48 kg\n Factor of Safety: 1.29\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.48481255340434, "fos_buckling": 1.2880357385339376, "fos_yielding": 3.5940525330873583, "deflection": 0.0019506837984940397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.618)" }, "parent_node_id": "node_1910", "improvement_over_parent": null }, "node_1912": { "node_id": "node_1912", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.53 kg\n Factor of Safety: 1.54\n Max Deflection: 1.57e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.53154587130405, "fos_buckling": 1.5441584453851454, "fos_yielding": 4.491396262704836, "deflection": 0.0015688634297966499, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1911", "improvement_over_parent": null }, "node_1913": { "node_id": "node_1913", "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0567135451958, "fos_buckling": 1.551368102974446, "fos_yielding": 6.316078682746878, "deflection": 0.0014906714535432109, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.502)" }, "parent_node_id": "node_1912", "improvement_over_parent": null }, "node_1914": { "node_id": "node_1914", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1913", "improvement_over_parent": null }, "node_1915": { "node_id": "node_1915", "content": "INITIAL DESIGN (Trace 278)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 108.94 kg\n Factor of Safety: 0.79\n Max Deflection: 3.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.94154924555407, "fos_buckling": 0.7930611067394638, "fos_yielding": 2.2652373384693294, "deflection": 0.003000995874521939, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1916": { "node_id": "node_1916", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 139.58 kg\n Factor of Safety: 0.99\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.576628789493, "fos_buckling": 0.9852272612374772, "fos_yielding": 2.901978292575086, "deflection": 0.002349685618339889, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_1915", "improvement_over_parent": null }, "node_1917": { "node_id": "node_1917", "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 140.97 kg\n Factor of Safety: 0.99\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.97392113146572, "fos_buckling": 0.9850744091946848, "fos_yielding": 3.8244472485886662, "deflection": 0.002236491900466767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.339)" }, "parent_node_id": "node_1916", "improvement_over_parent": null }, "node_1918": { "node_id": "node_1918", "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 142.75 kg\n Factor of Safety: 0.99\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.75478149526467, "fos_buckling": 0.9850744091946848, "fos_yielding": 3.824447248588663, "deflection": 0.0022364919004667673, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.332)" }, "parent_node_id": "node_1917", "improvement_over_parent": null }, "node_1919": { "node_id": "node_1919", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 171.93 kg\n Factor of Safety: 1.15\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.93250100621825, "fos_buckling": 1.1523028230286216, "fos_yielding": 4.590590593586089, "deflection": 0.0018632697433489391, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_1918", "improvement_over_parent": null }, "node_1920": { "node_id": "node_1920", "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 1.15\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.21334083517763, "fos_buckling": 1.1516754915184995, "fos_yielding": 4.5880914049423795, "deflection": 0.001844105023726192, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.232)" }, "parent_node_id": "node_1919", "improvement_over_parent": null }, "node_1921": { "node_id": "node_1921", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.25 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.25278743717058, "fos_buckling": 1.2837847817772818, "fos_yielding": 5.229604895153196, "deflection": 0.0016182146242689035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_1920", "improvement_over_parent": null }, "node_1922": { "node_id": "node_1922", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08365812100402, "fos_buckling": 1.5514843182423816, "fos_yielding": 6.320101391294863, "deflection": 0.0014904891355317577, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_1921", "improvement_over_parent": null }, "node_1923": { "node_id": "node_1923", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1922", "improvement_over_parent": null }, "node_1924": { "node_id": "node_1924", "content": "INITIAL DESIGN (Trace 279)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 158.37 kg\n Factor of Safety: 0.83\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.37189646350262, "fos_buckling": 0.8308801297159591, "fos_yielding": 4.227404560979089, "deflection": 0.0022234116411408624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1925": { "node_id": "node_1925", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 159.42 kg\n Factor of Safety: 0.82\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.4247532044098, "fos_buckling": 0.8220692753343298, "fos_yielding": 4.226910811172916, "deflection": 0.0022198889714860944, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.493)" }, "parent_node_id": "node_1924", "improvement_over_parent": null }, "node_1926": { "node_id": "node_1926", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 160.62 kg\n Factor of Safety: 0.82\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.6219388982488, "fos_buckling": 0.8221841731035343, "fos_yielding": 4.226349516690553, "deflection": 0.0022146764269681545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.227)" }, "parent_node_id": "node_1925", "improvement_over_parent": null }, "node_1927": { "node_id": "node_1927", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 179.28 kg\n Factor of Safety: 1.40\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.27815323974448, "fos_buckling": 1.396449376742611, "fos_yielding": 5.563694357047889, "deflection": 0.0016919582246190553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003688)" }, "parent_node_id": "node_1926", "improvement_over_parent": null }, "node_1928": { "node_id": "node_1928", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0817354358241, "fos_buckling": 1.551607982086397, "fos_yielding": 6.317288945932129, "deflection": 0.001490551789141346, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_1927", "improvement_over_parent": null }, "node_1929": { "node_id": "node_1929", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1928", "improvement_over_parent": null }, "node_1930": { "node_id": "node_1930", "content": "INITIAL DESIGN (Trace 280)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 165.16 kg\n Factor of Safety: 0.93\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.1562422557215, "fos_buckling": 0.929443442785308, "fos_yielding": 4.679852106131575, "deflection": 0.0018460064023733997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1931": { "node_id": "node_1931", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 178.92 kg\n Factor of Safety: 1.11\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.9178751705652, "fos_buckling": 1.1083896460877496, "fos_yielding": 5.5107106993861255, "deflection": 0.0016935338026477596, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003177)" }, "parent_node_id": "node_1930", "improvement_over_parent": null }, "node_1932": { "node_id": "node_1932", "content": "MODIFICATION: Increase 3 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 180.20 kg\n Factor of Safety: 1.40\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.1996511762532, "fos_buckling": 1.402388115460532, "fos_yielding": 5.591824911257142, "deflection": 0.001683457904029334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.661)" }, "parent_node_id": "node_1931", "improvement_over_parent": null }, "node_1933": { "node_id": "node_1933", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30670840689274, "fos_buckling": 1.5529862115405626, "fos_yielding": 6.324178017905826, "deflection": 0.0014889261177233252, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_1932", "improvement_over_parent": null }, "node_1934": { "node_id": "node_1934", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1933", "improvement_over_parent": null }, "node_1935": { "node_id": "node_1935", "content": "INITIAL DESIGN (Trace 281)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 115.10 kg\n Factor of Safety: 0.75\n Max Deflection: 1.53e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.1006718970648, "fos_buckling": 0.7546573222446705, "fos_yielding": 3.930618956372438, "deflection": 1532729264319.1016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1936": { "node_id": "node_1936", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 148.29 kg\n Factor of Safety: 0.80\n Max Deflection: 1.42e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.29121813887932, "fos_buckling": 0.801651163732181, "fos_yielding": 4.139539823269226, "deflection": 1424777578083.6758, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_1935", "improvement_over_parent": null }, "node_1937": { "node_id": "node_1937", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 151.10 kg\n Factor of Safety: 0.70\n Max Deflection: 2.01e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.10214700077478, "fos_buckling": 0.7006839556039035, "fos_yielding": 3.1046548674519197, "deflection": 2007390401749.0417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.279)" }, "parent_node_id": "node_1936", "improvement_over_parent": null }, "node_1938": { "node_id": "node_1938", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 166.70 kg\n Factor of Safety: 1.09\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.6969670711686, "fos_buckling": 1.091721333302355, "fos_yielding": 4.811586701477972, "deflection": 0.002008619835631701, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_1937", "improvement_over_parent": null }, "node_1939": { "node_id": "node_1939", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 187.95 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.9453585780852, "fos_buckling": 1.2862012657570123, "fos_yielding": 5.237236823239771, "deflection": 0.0016155904905839989, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1938", "improvement_over_parent": null }, "node_1940": { "node_id": "node_1940", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19070481908227, "fos_buckling": 1.5522967852742562, "fos_yielding": 6.320741629538173, "deflection": 0.0014897376005230823, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_1939", "improvement_over_parent": null }, "node_1941": { "node_id": "node_1941", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1940", "improvement_over_parent": null }, "node_1942": { "node_id": "node_1942", "content": "INITIAL DESIGN (Trace 282)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 113.00 kg\n Factor of Safety: 0.26\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.99925408495612, "fos_buckling": 0.2642336879125319, "fos_yielding": 2.159052833198823, "deflection": 0.006547743424464227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1943": { "node_id": "node_1943", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 133.15 kg\n Factor of Safety: 0.30\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.15463557452236, "fos_buckling": 0.30228892502916893, "fos_yielding": 2.537207167154643, "deflection": 0.005567556377418797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_1942", "improvement_over_parent": null }, "node_1944": { "node_id": "node_1944", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 135.26 kg\n Factor of Safety: 0.30\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.260579839205, "fos_buckling": 0.3021827220772701, "fos_yielding": 2.5363157719746683, "deflection": 0.005545706932511688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.389)" }, "parent_node_id": "node_1943", "improvement_over_parent": null }, "node_1945": { "node_id": "node_1945", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 169.12 kg\n Factor of Safety: 0.69\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.11847076756885, "fos_buckling": 0.6867865545899159, "fos_yielding": 4.8115184196132255, "deflection": 0.0021549964508241377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_1944", "improvement_over_parent": null }, "node_1946": { "node_id": "node_1946", "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0079)]\n\nPerformance:\n Mass: 182.74 kg\n Factor of Safety: 0.69\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.73773664916433, "fos_buckling": 0.6857536026297122, "fos_yielding": 4.804268638629456, "deflection": 0.0020135895095426955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.464)" }, "parent_node_id": "node_1945", "improvement_over_parent": null }, "node_1947": { "node_id": "node_1947", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0079)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 190.60 kg\n Factor of Safety: 0.98\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.60361283757783, "fos_buckling": 0.9759546829686022, "fos_yielding": 4.800091434950058, "deflection": 0.0018587698812911747, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_1946", "improvement_over_parent": null }, "node_1948": { "node_id": "node_1948", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0079)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 211.85 kg\n Factor of Safety: 1.27\n Max Deflection: 1.40e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 211.85200434449445, "fos_buckling": 1.2713103488760928, "fos_yielding": 6.061484568026848, "deflection": 0.0013963150988322585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_1947", "improvement_over_parent": null }, "node_1949": { "node_id": "node_1949", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1948", "improvement_over_parent": null }, "node_1950": { "node_id": "node_1950", "content": "INITIAL DESIGN (Trace 283)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 124.48 kg\n Factor of Safety: 0.65\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.4800138661329, "fos_buckling": 0.6516214440377687, "fos_yielding": 4.17828025062311, "deflection": 0.00256155972302996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1951": { "node_id": "node_1951", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 157.25 kg\n Factor of Safety: 0.79\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.2477628215585, "fos_buckling": 0.7934052152199755, "fos_yielding": 5.244108795884446, "deflection": 0.002035924936323577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_1950", "improvement_over_parent": null }, "node_1952": { "node_id": "node_1952", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 172.09 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.09264643808467, "fos_buckling": 1.3497804078796696, "fos_yielding": 5.344554696182277, "deflection": 0.0017611588673819712, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003213)" }, "parent_node_id": "node_1951", "improvement_over_parent": null }, "node_1953": { "node_id": "node_1953", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21251235973602, "fos_buckling": 1.5523766375710777, "fos_yielding": 6.321129505319364, "deflection": 0.0014896264443843858, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_1952", "improvement_over_parent": null }, "node_1954": { "node_id": "node_1954", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1953", "improvement_over_parent": null }, "node_1955": { "node_id": "node_1955", "content": "INITIAL DESIGN (Trace 284)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 126.58 kg\n Factor of Safety: 0.27\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.57519895296087, "fos_buckling": 0.26869534762930525, "fos_yielding": 2.121554726221828, "deflection": 0.006301831053368095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1956": { "node_id": "node_1956", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 128.45 kg\n Factor of Safety: 0.27\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.4512155715544, "fos_buckling": 0.2685831645421377, "fos_yielding": 2.120668955177103, "deflection": 0.006177071268431507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.359)" }, "parent_node_id": "node_1955", "improvement_over_parent": null }, "node_1957": { "node_id": "node_1957", "content": "MODIFICATION: Increase 12 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 132.90 kg\n Factor of Safety: 0.37\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.90298013994934, "fos_buckling": 0.3718616947628977, "fos_yielding": 2.440092748716415, "deflection": 0.005865852640018834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.462)" }, "parent_node_id": "node_1956", "improvement_over_parent": null }, "node_1958": { "node_id": "node_1958", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 135.15 kg\n Factor of Safety: 0.37\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.14909783648474, "fos_buckling": 0.37167604044798835, "fos_yielding": 2.4388795229261784, "deflection": 0.005819886269911881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.325)" }, "parent_node_id": "node_1957", "improvement_over_parent": null }, "node_1959": { "node_id": "node_1959", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 136.03 kg\n Factor of Safety: 0.37\n Max Deflection: 5.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.0291036792118, "fos_buckling": 0.3716396934332831, "fos_yielding": 2.4386419995274133, "deflection": 0.005808600115870322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.202)" }, "parent_node_id": "node_1958", "improvement_over_parent": null }, "node_1960": { "node_id": "node_1960", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 157.18 kg\n Factor of Safety: 0.42\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.17610440144261, "fos_buckling": 0.4205902435529974, "fos_yielding": 2.8096707917854102, "deflection": 0.005044958777002138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_1959", "improvement_over_parent": null }, "node_1961": { "node_id": "node_1961", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 163.00 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.9962366018105, "fos_buckling": 1.2896112314316908, "fos_yielding": 5.069399270221216, "deflection": 0.0018574639840549766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002605)" }, "parent_node_id": "node_1960", "improvement_over_parent": null }, "node_1962": { "node_id": "node_1962", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.41 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.41271541585175, "fos_buckling": 1.553567051359244, "fos_yielding": 6.330354514939425, "deflection": 0.0014881719386745024, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_1961", "improvement_over_parent": null }, "node_1963": { "node_id": "node_1963", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1962", "improvement_over_parent": null }, "node_1964": { "node_id": "node_1964", "content": "INITIAL DESIGN (Trace 285)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 120.43 kg\n Factor of Safety: 0.21\n Max Deflection: 1.40e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.43110112412721, "fos_buckling": 0.21093822767803772, "fos_yielding": 1.1901124948947996, "deflection": 13966386514657.361, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1965": { "node_id": "node_1965", "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 121.78 kg\n Factor of Safety: 0.16\n Max Deflection: 9.98e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.78328494073541, "fos_buckling": 0.16067137126037037, "fos_yielding": 1.1495149117245758, "deflection": 9976499863265.012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.335)" }, "parent_node_id": "node_1964", "improvement_over_parent": null }, "node_1966": { "node_id": "node_1966", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 126.96 kg\n Factor of Safety: 0.82\n Max Deflection: 2.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.95548229206217, "fos_buckling": 0.8178474018612956, "fos_yielding": 3.4245804574571284, "deflection": 0.0028242927434973166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002296)" }, "parent_node_id": "node_1965", "improvement_over_parent": null }, "node_1967": { "node_id": "node_1967", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 161.34 kg\n Factor of Safety: 1.00\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.3364023007017, "fos_buckling": 1.0016345183424225, "fos_yielding": 4.33682675749474, "deflection": 0.0022287173059495524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_1966", "improvement_over_parent": null }, "node_1968": { "node_id": "node_1968", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n\nPerformance:\n Mass: 164.79 kg\n Factor of Safety: 0.84\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.7865076618331, "fos_buckling": 0.8402670301971351, "fos_yielding": 4.335167831115869, "deflection": 0.0021593777874926823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002152)" }, "parent_node_id": "node_1967", "improvement_over_parent": null }, "node_1969": { "node_id": "node_1969", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n\nPerformance:\n Mass: 183.92 kg\n Factor of Safety: 1.43\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.9220215146361, "fos_buckling": 1.4262664382200538, "fos_yielding": 5.703288321610265, "deflection": 0.0016501087165388334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003791)" }, "parent_node_id": "node_1968", "improvement_over_parent": null }, "node_1970": { "node_id": "node_1970", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17305654401898, "fos_buckling": 1.5522436282998933, "fos_yielding": 6.318094693429365, "deflection": 0.0014898934868122252, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_1969", "improvement_over_parent": null }, "node_1971": { "node_id": "node_1971", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1970", "improvement_over_parent": null }, "node_1972": { "node_id": "node_1972", "content": "INITIAL DESIGN (Trace 286)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 114.29 kg\n Factor of Safety: 0.82\n Max Deflection: 2.97e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.29148357760842, "fos_buckling": 0.8174778674569726, "fos_yielding": 3.4222648116071395, "deflection": 0.002968820447762846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1973": { "node_id": "node_1973", "content": "MODIFICATION: Increase 11 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 116.33 kg\n Factor of Safety: 0.82\n Max Deflection: 2.86e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.32898236560571, "fos_buckling": 0.8171994354004596, "fos_yielding": 3.4210991920015688, "deflection": 0.0028629530403806703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.241)" }, "parent_node_id": "node_1972", "improvement_over_parent": null }, "node_1974": { "node_id": "node_1974", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 117.91 kg\n Factor of Safety: 0.82\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.91182809824365, "fos_buckling": 0.8169832643053659, "fos_yielding": 3.4201942198164175, "deflection": 0.0028281821778518568, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.410)" }, "parent_node_id": "node_1973", "improvement_over_parent": null }, "node_1975": { "node_id": "node_1975", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 135.45 kg\n Factor of Safety: 0.92\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.44686287037425, "fos_buckling": 0.9199383360182235, "fos_yielding": 3.921876849918423, "deflection": 0.002465628465697315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_1974", "improvement_over_parent": null }, "node_1976": { "node_id": "node_1976", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 148.65 kg\n Factor of Safety: 0.77\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.6480252229783, "fos_buckling": 0.7693068051328924, "fos_yielding": 3.9161272152058006, "deflection": 0.0023907268749248888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002966)" }, "parent_node_id": "node_1975", "improvement_over_parent": null }, "node_1977": { "node_id": "node_1977", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 165.91 kg\n Factor of Safety: 1.31\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.9142105975631, "fos_buckling": 1.309087625722148, "fos_yielding": 5.156092664939443, "deflection": 0.0018254276854220849, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003392)" }, "parent_node_id": "node_1976", "improvement_over_parent": null }, "node_1978": { "node_id": "node_1978", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14379003687512, "fos_buckling": 1.5519885641278526, "fos_yielding": 6.319203445129618, "deflection": 0.0014901013208872124, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_1977", "improvement_over_parent": null }, "node_1979": { "node_id": "node_1979", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1978", "improvement_over_parent": null }, "node_1980": { "node_id": "node_1980", "content": "INITIAL DESIGN (Trace 287)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 125.00 kg\n Factor of Safety: 0.77\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.99538542999436, "fos_buckling": 0.7746107472489596, "fos_yielding": 3.9370946213882934, "deflection": 0.0023525876184673495, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1981": { "node_id": "node_1981", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 138.76 kg\n Factor of Safety: 0.85\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.75907808895263, "fos_buckling": 0.8533098979941189, "fos_yielding": 4.364101496554598, "deflection": 0.002122896356252163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_1980", "improvement_over_parent": null }, "node_1982": { "node_id": "node_1982", "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 139.87 kg\n Factor of Safety: 1.13\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.8720014487919, "fos_buckling": 1.1273848015357792, "fos_yielding": 4.366015100595746, "deflection": 0.0021048346640405845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.639)" }, "parent_node_id": "node_1981", "improvement_over_parent": null }, "node_1983": { "node_id": "node_1983", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 165.33 kg\n Factor of Safety: 1.30\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.3336972671091, "fos_buckling": 1.2994514363548477, "fos_yielding": 5.1469714599706835, "deflection": 0.0017864162273071545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.196)" }, "parent_node_id": "node_1982", "improvement_over_parent": null }, "node_1984": { "node_id": "node_1984", "content": "MODIFICATION: Increase 11 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 169.93 kg\n Factor of Safety: 1.22\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.92879884424198, "fos_buckling": 1.2162571601578982, "fos_yielding": 5.261898641230371, "deflection": 0.0017703406571320372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.543)" }, "parent_node_id": "node_1983", "improvement_over_parent": null }, "node_1985": { "node_id": "node_1985", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.22 kg\n Factor of Safety: 1.41\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.21663756367104, "fos_buckling": 1.4058538553437334, "fos_yielding": 6.210579949630326, "deflection": 0.001500646271909359, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_1984", "improvement_over_parent": null }, "node_1986": { "node_id": "node_1986", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18786635077868, "fos_buckling": 1.552273095787607, "fos_yielding": 6.320620897045688, "deflection": 0.0014897671834362169, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.443)" }, "parent_node_id": "node_1985", "improvement_over_parent": null }, "node_1987": { "node_id": "node_1987", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1986", "improvement_over_parent": null }, "node_1988": { "node_id": "node_1988", "content": "INITIAL DESIGN (Trace 288)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 129.91 kg\n Factor of Safety: 0.99\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.91005503177914, "fos_buckling": 0.9897380984016436, "fos_yielding": 4.043353697030294, "deflection": 0.0023063934159309966, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1989": { "node_id": "node_1989", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 131.61 kg\n Factor of Safety: 1.07\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.61452449234673, "fos_buckling": 1.0726875120501342, "fos_yielding": 4.104701494758149, "deflection": 0.002292048205470841, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.364)" }, "parent_node_id": "node_1988", "improvement_over_parent": null }, "node_1990": { "node_id": "node_1990", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.23 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.23074160353272, "fos_buckling": 1.2912234205312438, "fos_yielding": 5.074101686858739, "deflection": 0.0018548423595162228, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_1989", "improvement_over_parent": null }, "node_1991": { "node_id": "node_1991", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26361299484702, "fos_buckling": 1.5527133346175173, "fos_yielding": 6.322829600418089, "deflection": 0.001489230095913074, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.276)" }, "parent_node_id": "node_1990", "improvement_over_parent": null }, "node_1992": { "node_id": "node_1992", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1991", "improvement_over_parent": null }, "node_1993": { "node_id": "node_1993", "content": "INITIAL DESIGN (Trace 289)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 133.10 kg\n Factor of Safety: 0.42\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.09900253590263, "fos_buckling": 0.42265441708424684, "fos_yielding": 1.8881864275255915, "deflection": 0.006990841167631912, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_1994": { "node_id": "node_1994", "content": "MODIFICATION: Increase 3 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 133.82 kg\n Factor of Safety: 0.42\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.81669429434754, "fos_buckling": 0.4226207151947843, "fos_yielding": 1.8880367043815822, "deflection": 0.0069718435542328846, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.328)" }, "parent_node_id": "node_1993", "improvement_over_parent": null }, "node_1995": { "node_id": "node_1995", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 135.88 kg\n Factor of Safety: 0.42\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.8786244112918, "fos_buckling": 0.4224271680993757, "fos_yielding": 1.8871768544782745, "deflection": 0.006947751134844857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.245)" }, "parent_node_id": "node_1994", "improvement_over_parent": null }, "node_1996": { "node_id": "node_1996", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 141.72 kg\n Factor of Safety: 0.76\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.7216116985385, "fos_buckling": 0.7613166129254664, "fos_yielding": 4.9953110832827585, "deflection": 0.002342947884814761, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002616)" }, "parent_node_id": "node_1995", "improvement_over_parent": null }, "node_1997": { "node_id": "node_1997", "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 146.72 kg\n Factor of Safety: 0.76\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.72249610773432, "fos_buckling": 0.7608998440144401, "fos_yielding": 4.992576491228585, "deflection": 0.0023228818385850458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.427)" }, "parent_node_id": "node_1996", "improvement_over_parent": null }, "node_1998": { "node_id": "node_1998", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 160.82 kg\n Factor of Safety: 1.04\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.824292789993, "fos_buckling": 1.0433238430791758, "fos_yielding": 5.072452930080197, "deflection": 0.002027796667797059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003040)" }, "parent_node_id": "node_1997", "improvement_over_parent": null }, "node_1999": { "node_id": "node_1999", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0053)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.61 kg\n Factor of Safety: 1.27\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.61217334746004, "fos_buckling": 1.2656382025264659, "fos_yielding": 6.301733187601665, "deflection": 0.0016298845515007685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_1998", "improvement_over_parent": null }, "node_2000": { "node_id": "node_2000", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_1999", "improvement_over_parent": null }, "node_2001": { "node_id": "node_2001", "content": "INITIAL DESIGN (Trace 290)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 139.70 kg\n Factor of Safety: 0.61\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.70214394920438, "fos_buckling": 0.6086543905612748, "fos_yielding": 4.4764686836429535, "deflection": 0.0029006671215230247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2002": { "node_id": "node_2002", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 141.68 kg\n Factor of Safety: 0.61\n Max Deflection: 2.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.6831788565551, "fos_buckling": 0.6086543905612746, "fos_yielding": 4.476468683642956, "deflection": 0.002873985354975721, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.316)" }, "parent_node_id": "node_2001", "improvement_over_parent": null }, "node_2003": { "node_id": "node_2003", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 148.34 kg\n Factor of Safety: 0.61\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.34388766585585, "fos_buckling": 0.6068804430982285, "fos_yielding": 4.5741498989244285, "deflection": 0.0023953938721357508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002370)" }, "parent_node_id": "node_2002", "improvement_over_parent": null }, "node_2004": { "node_id": "node_2004", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 156.36 kg\n Factor of Safety: 0.87\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.35544326331342, "fos_buckling": 0.8717572627161578, "fos_yielding": 5.294688735034879, "deflection": 0.0020089223331753265, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001551)" }, "parent_node_id": "node_2003", "improvement_over_parent": null }, "node_2005": { "node_id": "node_2005", "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 1.09\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0633516145945, "fos_buckling": 1.0949077912852525, "fos_yielding": 5.3427585624576555, "deflection": 0.001959325698768186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.486)" }, "parent_node_id": "node_2004", "improvement_over_parent": null }, "node_2006": { "node_id": "node_2006", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 189.24 kg\n Factor of Safety: 1.27\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 189.24460029069502, "fos_buckling": 1.2659597410596182, "fos_yielding": 6.290484722824108, "deflection": 0.0016617355119778788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2005", "improvement_over_parent": null }, "node_2007": { "node_id": "node_2007", "content": "MODIFICATION: Increase 15 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.66 kg\n Factor of Safety: 1.27\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.66412303398855, "fos_buckling": 1.2736211349515518, "fos_yielding": 6.336878314891017, "deflection": 0.0016263935007944867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.506)" }, "parent_node_id": "node_2006", "improvement_over_parent": null }, "node_2008": { "node_id": "node_2008", "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0051)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.95 kg\n Factor of Safety: 1.30\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.95447038583256, "fos_buckling": 1.2993646594166763, "fos_yielding": 6.315102814005784, "deflection": 0.001611885214432081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.372)" }, "parent_node_id": "node_2007", "improvement_over_parent": null }, "node_2009": { "node_id": "node_2009", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2008", "improvement_over_parent": null }, "node_2010": { "node_id": "node_2010", "content": "INITIAL DESIGN (Trace 291)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 151.29 kg\n Factor of Safety: 0.88\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.2930394830465, "fos_buckling": 0.8792617633260676, "fos_yielding": 4.3874887484672715, "deflection": 0.001978397055401806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2011": { "node_id": "node_2011", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 164.18 kg\n Factor of Safety: 1.16\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.17528816886212, "fos_buckling": 1.1612230203979157, "fos_yielding": 5.141159108484208, "deflection": 0.0018385028781397884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002958)" }, "parent_node_id": "node_2010", "improvement_over_parent": null }, "node_2012": { "node_id": "node_2012", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 198.94 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.9367626772437, "fos_buckling": 1.3825517295439673, "fos_yielding": 6.207793254024124, "deflection": 0.0015231370077785143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2011", "improvement_over_parent": null }, "node_2013": { "node_id": "node_2013", "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 202.65 kg\n Factor of Safety: 1.45\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.65207163091603, "fos_buckling": 1.4467179675849535, "fos_yielding": 6.321714867295137, "deflection": 0.0014961568663436143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.401)" }, "parent_node_id": "node_2012", "improvement_over_parent": null }, "node_2014": { "node_id": "node_2014", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30017969655725, "fos_buckling": 1.5529393611457396, "fos_yielding": 6.323915109746316, "deflection": 0.0014889876606004077, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.190)" }, "parent_node_id": "node_2013", "improvement_over_parent": null }, "node_2015": { "node_id": "node_2015", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2014", "improvement_over_parent": null }, "node_2016": { "node_id": "node_2016", "content": "INITIAL DESIGN (Trace 292)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 142.35 kg\n Factor of Safety: 0.40\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.35420704120128, "fos_buckling": 0.4006697623875575, "fos_yielding": 1.7720335014183068, "deflection": 0.00777639129055109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2017": { "node_id": "node_2017", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n\nPerformance:\n Mass: 147.85 kg\n Factor of Safety: 0.72\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.85075120485112, "fos_buckling": 0.721490520426539, "fos_yielding": 3.9627084110304938, "deflection": 0.002425799258087237, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002450)" }, "parent_node_id": "node_2016", "improvement_over_parent": null }, "node_2018": { "node_id": "node_2018", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n\nPerformance:\n Mass: 171.06 kg\n Factor of Safety: 0.81\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.06400061140636, "fos_buckling": 0.813928929208186, "fos_yielding": 4.573268093522896, "deflection": 0.0021025858266878884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2017", "improvement_over_parent": null }, "node_2019": { "node_id": "node_2019", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 174.68 kg\n Factor of Safety: 1.15\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.68222289164132, "fos_buckling": 1.1488716404539963, "fos_yielding": 4.572352776845059, "deflection": 0.0018496897591898658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002162)" }, "parent_node_id": "node_2018", "improvement_over_parent": null }, "node_2020": { "node_id": "node_2020", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 200.28 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.28202880935532, "fos_buckling": 1.2840248601896866, "fos_yielding": 5.227993829904634, "deflection": 0.0016180626088297837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2019", "improvement_over_parent": null }, "node_2021": { "node_id": "node_2021", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M4: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11289949318876, "fos_buckling": 1.55182029036283, "fos_yielding": 6.318340987525113, "deflection": 0.0014903284207054253, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2020", "improvement_over_parent": null }, "node_2022": { "node_id": "node_2022", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2021", "improvement_over_parent": null }, "node_2023": { "node_id": "node_2023", "content": "INITIAL DESIGN (Trace 293)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 142.74 kg\n Factor of Safety: 0.35\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.74182843969348, "fos_buckling": 0.3500923638488162, "fos_yielding": 2.2872115093171352, "deflection": 0.006181863758771166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2024": { "node_id": "node_2024", "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 144.52 kg\n Factor of Safety: 0.35\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.5238371225636, "fos_buckling": 0.3500230841192893, "fos_yielding": 2.747068578323943, "deflection": 0.005936131060371434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.439)" }, "parent_node_id": "node_2023", "improvement_over_parent": null }, "node_2025": { "node_id": "node_2025", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 150.21 kg\n Factor of Safety: 1.05\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.2065348128825, "fos_buckling": 1.0462985456291156, "fos_yielding": 4.097089026336805, "deflection": 0.0020857980946592976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002539)" }, "parent_node_id": "node_2024", "improvement_over_parent": null }, "node_2026": { "node_id": "node_2026", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 192.91 kg\n Factor of Safety: 1.29\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.9076636733938, "fos_buckling": 1.2854607068292299, "fos_yielding": 5.233963861478695, "deflection": 0.0016328341000477855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2025", "improvement_over_parent": null }, "node_2027": { "node_id": "node_2027", "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 196.35 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.3512162556303, "fos_buckling": 1.285216322584672, "fos_yielding": 5.232968810990151, "deflection": 0.0016245598145298126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.220)" }, "parent_node_id": "node_2026", "improvement_over_parent": null }, "node_2028": { "node_id": "node_2028", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 199.48 kg\n Factor of Safety: 1.43\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.48454288077502, "fos_buckling": 1.4290491818253857, "fos_yielding": 6.172590743960784, "deflection": 0.0015131118435753766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001939)" }, "parent_node_id": "node_2027", "improvement_over_parent": null }, "node_2029": { "node_id": "node_2029", "content": "MODIFICATION: Increase 11 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 204.94 kg\n Factor of Safety: 1.52\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.9415639631179, "fos_buckling": 1.5197339573835213, "fos_yielding": 6.187845781476743, "deflection": 0.0014862324737513128, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.342)" }, "parent_node_id": "node_2028", "improvement_over_parent": null }, "node_2030": { "node_id": "node_2030", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0047)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 205.84 kg\n Factor of Safety: 1.50\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.8432688032069, "fos_buckling": 1.5011103443605707, "fos_yielding": 6.188818010379672, "deflection": 0.0014816767591060514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.245)" }, "parent_node_id": "node_2029", "improvement_over_parent": null }, "node_2031": { "node_id": "node_2031", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2030", "improvement_over_parent": null }, "node_2032": { "node_id": "node_2032", "content": "INITIAL DESIGN (Trace 294)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2033": { "node_id": "node_2033", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 158.70 kg\n Factor of Safety: 0.82\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.70390919734095, "fos_buckling": 0.8197119190783013, "fos_yielding": 5.449219731737648, "deflection": 0.0019971201978410524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002172)" }, "parent_node_id": "node_2032", "improvement_over_parent": null }, "node_2034": { "node_id": "node_2034", "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0057)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 167.83 kg\n Factor of Safety: 0.82\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.82884510324965, "fos_buckling": 0.8172665773810295, "fos_yielding": 5.432963771664994, "deflection": 0.0019664707735637097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.558)" }, "parent_node_id": "node_2033", "improvement_over_parent": null }, "node_2035": { "node_id": "node_2035", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0057)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 183.24 kg\n Factor of Safety: 1.37\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.24490156285887, "fos_buckling": 1.3716379847804285, "fos_yielding": 5.29735966817837, "deflection": 0.0016715442015945144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003347)" }, "parent_node_id": "node_2034", "improvement_over_parent": null }, "node_2036": { "node_id": "node_2036", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0066)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 209.07 kg\n Factor of Safety: 1.52\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 209.06742943094946, "fos_buckling": 1.5225844382443903, "fos_yielding": 6.03634650293458, "deflection": 0.0014687936851463634, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2035", "improvement_over_parent": null }, "node_2037": { "node_id": "node_2037", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2036", "improvement_over_parent": null }, "node_2038": { "node_id": "node_2038", "content": "INITIAL DESIGN (Trace 295)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 149.67 kg\n Factor of Safety: 0.74\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.66558630015143, "fos_buckling": 0.7357915353096776, "fos_yielding": 4.657488392771959, "deflection": 0.0023100411261692483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2039": { "node_id": "node_2039", "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 150.80 kg\n Factor of Safety: 0.74\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.80448268996116, "fos_buckling": 0.7356082027035749, "fos_yielding": 4.716376397415874, "deflection": 0.0022820517208555087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.193)" }, "parent_node_id": "node_2038", "improvement_over_parent": null }, "node_2040": { "node_id": "node_2040", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 154.00 kg\n Factor of Safety: 1.06\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.00455518915948, "fos_buckling": 1.0566842856562915, "fos_yielding": 4.785401201652151, "deflection": 0.001965911807968057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001894)" }, "parent_node_id": "node_2039", "improvement_over_parent": null }, "node_2041": { "node_id": "node_2041", "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 156.71 kg\n Factor of Safety: 1.08\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.7053657511332, "fos_buckling": 1.0821212229996018, "fos_yielding": 4.782823774569414, "deflection": 0.001957706213636362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.495)" }, "parent_node_id": "node_2040", "improvement_over_parent": null }, "node_2042": { "node_id": "node_2042", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0042)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.18 kg\n Factor of Safety: 1.37\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.18405598921788, "fos_buckling": 1.3746649158282729, "fos_yielding": 6.1760679688758255, "deflection": 0.001516641922586855, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.326)" }, "parent_node_id": "node_2041", "improvement_over_parent": null }, "node_2043": { "node_id": "node_2043", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2042", "improvement_over_parent": null }, "node_2044": { "node_id": "node_2044", "content": "INITIAL DESIGN (Trace 296)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 185.74 kg\n Factor of Safety: 1.26\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.74194519479067, "fos_buckling": 1.2637344940075674, "fos_yielding": 4.275274082083286, "deflection": 0.001728528430339034, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2045": { "node_id": "node_2045", "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.49 kg\n Factor of Safety: 1.23\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.49433205516704, "fos_buckling": 1.2342904037743787, "fos_yielding": 4.391912371868772, "deflection": 0.0016379611459686003, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.570)" }, "parent_node_id": "node_2044", "improvement_over_parent": null }, "node_2046": { "node_id": "node_2046", "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 191.33 kg\n Factor of Safety: 1.25\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.32831244585486, "fos_buckling": 1.2466438377294848, "fos_yielding": 4.438747350405623, "deflection": 0.0016193863173979955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.282)" }, "parent_node_id": "node_2045", "improvement_over_parent": null }, "node_2047": { "node_id": "node_2047", "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 194.18 kg\n Factor of Safety: 1.51\n Max Deflection: 1.60e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 194.18347323305176, "fos_buckling": 1.5102121342571913, "fos_yielding": 4.441249417640521, "deflection": 0.0016037593261635339, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.377)" }, "parent_node_id": "node_2046", "improvement_over_parent": null }, "node_2048": { "node_id": "node_2048", "content": "MODIFICATION: Increase 11 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.09 kg\n Factor of Safety: 1.50\n Max Deflection: 1.58e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.0871122659313, "fos_buckling": 1.5031917463819393, "fos_yielding": 4.591702859889435, "deflection": 0.00158091449433067, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.626)" }, "parent_node_id": "node_2047", "improvement_over_parent": null }, "node_2049": { "node_id": "node_2049", "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.83 kg\n Factor of Safety: 1.54\n Max Deflection: 1.56e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.83433534145308, "fos_buckling": 1.5424639123024206, "fos_yielding": 4.587947546789021, "deflection": 0.0015614534521184403, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.631)" }, "parent_node_id": "node_2048", "improvement_over_parent": null }, "node_2050": { "node_id": "node_2050", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15430597534805, "fos_buckling": 1.5521783698439786, "fos_yielding": 6.315844216717272, "deflection": 0.0014899838060006341, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.451)" }, "parent_node_id": "node_2049", "improvement_over_parent": null }, "node_2051": { "node_id": "node_2051", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2050", "improvement_over_parent": null }, "node_2052": { "node_id": "node_2052", "content": "INITIAL DESIGN (Trace 297)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 116.73 kg\n Factor of Safety: 0.95\n Max Deflection: 2.37e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.72523679866735, "fos_buckling": 0.9528790203052869, "fos_yielding": 5.004090555811699, "deflection": 2365860995455.5464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2053": { "node_id": "node_2053", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 141.78 kg\n Factor of Safety: 0.04\n Max Deflection: 4.28e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.78136548412616, "fos_buckling": 0.043291728038438775, "fos_yielding": 0.38808185843149, "deflection": 42750912617240.04, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_2052", "improvement_over_parent": null }, "node_2054": { "node_id": "node_2054", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 158.03 kg\n Factor of Safety: 0.61\n Max Deflection: 5.75e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.02671172512322, "fos_buckling": 0.6061530386520929, "fos_yielding": 6.13111987491594, "deflection": 5749911469159.108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2053", "improvement_over_parent": null }, "node_2055": { "node_id": "node_2055", "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 162.10 kg\n Factor of Safety: 0.35\n Max Deflection: 5.75e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.10152431358517, "fos_buckling": 0.3463338243075102, "fos_yielding": 4.598059646898303, "deflection": 5749911469159.107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.629)" }, "parent_node_id": "node_2054", "improvement_over_parent": null }, "node_2056": { "node_id": "node_2056", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 177.70 kg\n Factor of Safety: 1.48\n Max Deflection: 1.49e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.69634438397898, "fos_buckling": 1.479726210340439, "fos_yielding": 8.678486956950206, "deflection": 1493535225924.018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2055", "improvement_over_parent": null }, "node_2057": { "node_id": "node_2057", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.01 kg\n Factor of Safety: 0.91\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.00653160738193, "fos_buckling": 0.9080415472607406, "fos_yielding": 4.767532600948697, "deflection": 0.0017826166143486864, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2056", "improvement_over_parent": null }, "node_2058": { "node_id": "node_2058", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 202.16 kg\n Factor of Safety: 1.23\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.1579066543038, "fos_buckling": 1.2343136928047194, "fos_yielding": 5.178383922206306, "deflection": 0.0015389139648377594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2057", "improvement_over_parent": null }, "node_2059": { "node_id": "node_2059", "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20184427971654, "fos_buckling": 1.5523591935674192, "fos_yielding": 6.321058167737655, "deflection": 0.0014896620471820505, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.427)" }, "parent_node_id": "node_2058", "improvement_over_parent": null }, "node_2060": { "node_id": "node_2060", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2059", "improvement_over_parent": null }, "node_2061": { "node_id": "node_2061", "content": "INITIAL DESIGN (Trace 298)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n\nPerformance:\n Mass: 94.12 kg\n Factor of Safety: 0.96\n Max Deflection: 3.51e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.12353183441724, "fos_buckling": 0.9583473360310665, "fos_yielding": 4.598059646898302, "deflection": 3509107512657.497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2062": { "node_id": "node_2062", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 105.44 kg\n Factor of Safety: 0.34\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.4385183363093, "fos_buckling": 0.344254963579383, "fos_yielding": 2.9234952182141885, "deflection": 0.0035777221217757225, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002404)" }, "parent_node_id": "node_2061", "improvement_over_parent": null }, "node_2063": { "node_id": "node_2063", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 126.92 kg\n Factor of Safety: 0.41\n Max Deflection: 2.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.91999509630912, "fos_buckling": 0.4073934796357993, "fos_yielding": 3.512489053733293, "deflection": 0.0029835782853337763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2062", "improvement_over_parent": null }, "node_2064": { "node_id": "node_2064", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 139.48 kg\n Factor of Safety: 0.41\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.4778527871764, "fos_buckling": 0.4068369530508492, "fos_yielding": 3.5076907601044987, "deflection": 0.0027931475178417076, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002811)" }, "parent_node_id": "node_2063", "improvement_over_parent": null }, "node_2065": { "node_id": "node_2065", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 142.18 kg\n Factor of Safety: 0.56\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.17661895135703, "fos_buckling": 0.5624195770478273, "fos_yielding": 4.185096344459767, "deflection": 0.002527199419105186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.486)" }, "parent_node_id": "node_2064", "improvement_over_parent": null }, "node_2066": { "node_id": "node_2066", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 158.47 kg\n Factor of Safety: 0.62\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.47313151809914, "fos_buckling": 0.6152822997166684, "fos_yielding": 4.649861165493795, "deflection": 0.002275212084824387, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_2065", "improvement_over_parent": null }, "node_2067": { "node_id": "node_2067", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 175.97 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.9694482660917, "fos_buckling": 1.375084749594127, "fos_yielding": 5.462990099307958, "deflection": 0.0017230685855261455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003532)" }, "parent_node_id": "node_2066", "improvement_over_parent": null }, "node_2068": { "node_id": "node_2068", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1624496677709, "fos_buckling": 1.5521176215854637, "fos_yielding": 6.3198647264675465, "deflection": 0.001489934889117942, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.176)" }, "parent_node_id": "node_2067", "improvement_over_parent": null }, "node_2069": { "node_id": "node_2069", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2068", "improvement_over_parent": null }, "node_2070": { "node_id": "node_2070", "content": "INITIAL DESIGN (Trace 299)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 128.91 kg\n Factor of Safety: 0.72\n Max Deflection: 2.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.9104404255116, "fos_buckling": 0.724542644874717, "fos_yielding": 3.506516544730986, "deflection": 0.0026991537557996305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2071": { "node_id": "node_2071", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0017)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 141.05 kg\n Factor of Safety: 0.70\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.04999746910198, "fos_buckling": 0.7042781533982998, "fos_yielding": 3.408443953510488, "deflection": 0.002597659115236375, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002775)" }, "parent_node_id": "node_2070", "improvement_over_parent": null }, "node_2072": { "node_id": "node_2072", "content": "MODIFICATION: Increase 10 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 147.17 kg\n Factor of Safety: 0.92\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.16739911566262, "fos_buckling": 0.924526773691421, "fos_yielding": 3.7414885753337885, "deflection": 0.0022562009521294377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.560)" }, "parent_node_id": "node_2071", "improvement_over_parent": null }, "node_2073": { "node_id": "node_2073", "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 149.15 kg\n Factor of Safety: 0.94\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.1504378536616, "fos_buckling": 0.942086057888536, "fos_yielding": 4.695999622757839, "deflection": 0.0021718577713132664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.575)" }, "parent_node_id": "node_2072", "improvement_over_parent": null }, "node_2074": { "node_id": "node_2074", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 191.74 kg\n Factor of Safety: 1.18\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.74370292938315, "fos_buckling": 1.1815187632469453, "fos_yielding": 6.042225532366858, "deflection": 0.001694773370408621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_2073", "improvement_over_parent": null }, "node_2075": { "node_id": "node_2075", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 195.89 kg\n Factor of Safety: 1.24\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.8855502643763, "fos_buckling": 1.2424692269292814, "fos_yielding": 6.36278532798002, "deflection": 0.001606643843461084, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.196)" }, "parent_node_id": "node_2074", "improvement_over_parent": null }, "node_2076": { "node_id": "node_2076", "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 202.95 kg\n Factor of Safety: 1.25\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.94675604012906, "fos_buckling": 1.2479910262265543, "fos_yielding": 6.316027091164996, "deflection": 0.0014990798317671876, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.289)" }, "parent_node_id": "node_2075", "improvement_over_parent": null }, "node_2077": { "node_id": "node_2077", "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17276215758466, "fos_buckling": 1.5529662421607084, "fos_yielding": 6.318563857151872, "deflection": 0.0014897621760970852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.460)" }, "parent_node_id": "node_2076", "improvement_over_parent": null }, "node_2078": { "node_id": "node_2078", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2077", "improvement_over_parent": null }, "node_2079": { "node_id": "node_2079", "content": "INITIAL DESIGN (Trace 300)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 130.81 kg\n Factor of Safety: 0.36\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.80802853574068, "fos_buckling": 0.35917856904591555, "fos_yielding": 2.3468489656481277, "deflection": 0.006034966114534858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2080": { "node_id": "node_2080", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 170.96 kg\n Factor of Safety: 0.45\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.95813240381108, "fos_buckling": 0.45121998812398334, "fos_yielding": 3.0505154361649476, "deflection": 0.004648823874157214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2079", "improvement_over_parent": null }, "node_2081": { "node_id": "node_2081", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.94 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.94493264554995, "fos_buckling": 0.5063294987705482, "fos_yielding": 3.5018934112443754, "deflection": 0.004052937407243541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2080", "improvement_over_parent": null }, "node_2082": { "node_id": "node_2082", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24045869875292, "fos_buckling": 1.552588939578193, "fos_yielding": 6.322186952251833, "deflection": 0.0014894239225771398, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2081", "improvement_over_parent": null }, "node_2083": { "node_id": "node_2083", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2082", "improvement_over_parent": null }, "node_2084": { "node_id": "node_2084", "content": "INITIAL DESIGN (Trace 301)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 114.84 kg\n Factor of Safety: 0.30\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.84324931819812, "fos_buckling": 0.29914324773111234, "fos_yielding": 2.104877199235817, "deflection": 0.006944795059442303, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2085": { "node_id": "node_2085", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 135.17 kg\n Factor of Safety: 0.35\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.17184789499652, "fos_buckling": 0.34595791015053434, "fos_yielding": 2.4702396930424024, "deflection": 0.005919659457714053, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_2084", "improvement_over_parent": null }, "node_2086": { "node_id": "node_2086", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 167.21 kg\n Factor of Safety: 0.42\n Max Deflection: 4.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.21180417448787, "fos_buckling": 0.4160840572458264, "fos_yielding": 3.0417319576585453, "deflection": 0.00480989913239549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2085", "improvement_over_parent": null }, "node_2087": { "node_id": "node_2087", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.29 kg\n Factor of Safety: 0.47\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.28602986323733, "fos_buckling": 0.4698833038025114, "fos_yielding": 3.5028982354466063, "deflection": 0.0041782561570626615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2086", "improvement_over_parent": null }, "node_2088": { "node_id": "node_2088", "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.56 kg\n Factor of Safety: 0.51\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.56497762613455, "fos_buckling": 0.5062542427082457, "fos_yielding": 3.501145545863843, "deflection": 0.004062224566808094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.188)" }, "parent_node_id": "node_2087", "improvement_over_parent": null }, "node_2089": { "node_id": "node_2089", "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.88058392392898, "fos_buckling": 0.5061807043152762, "fos_yielding": 3.5006399697939794, "deflection": 0.004054295489552162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.217)" }, "parent_node_id": "node_2088", "improvement_over_parent": null }, "node_2090": { "node_id": "node_2090", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17610997713194, "fos_buckling": 1.5520462851758472, "fos_yielding": 6.324964131528024, "deflection": 0.0014897556133537423, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2089", "improvement_over_parent": null }, "node_2091": { "node_id": "node_2091", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2090", "improvement_over_parent": null }, "node_2092": { "node_id": "node_2092", "content": "INITIAL DESIGN (Trace 302)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 152.67 kg\n Factor of Safety: 0.83\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.67478780482793, "fos_buckling": 0.8291554308464134, "fos_yielding": 4.169284246409695, "deflection": 0.0023454375656726117, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2093": { "node_id": "node_2093", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 171.07 kg\n Factor of Safety: 1.18\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.0694603413253, "fos_buckling": 1.1752148591555955, "fos_yielding": 5.379929104917886, "deflection": 0.001741705233423441, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003632)" }, "parent_node_id": "node_2092", "improvement_over_parent": null }, "node_2094": { "node_id": "node_2094", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 1.33\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.76710932431973, "fos_buckling": 1.3329563666338577, "fos_yielding": 6.201184562357586, "deflection": 0.0015115120238774823, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2093", "improvement_over_parent": null }, "node_2095": { "node_id": "node_2095", "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.27 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.26624950848543, "fos_buckling": 1.5350822621676268, "fos_yielding": 6.294642885584939, "deflection": 0.0014977199582137187, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.562)" }, "parent_node_id": "node_2094", "improvement_over_parent": null }, "node_2096": { "node_id": "node_2096", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24302402874093, "fos_buckling": 1.5526052189392485, "fos_yielding": 6.3222861849709435, "deflection": 0.0014893647787523306, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.259)" }, "parent_node_id": "node_2095", "improvement_over_parent": null }, "node_2097": { "node_id": "node_2097", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2096", "improvement_over_parent": null }, "node_2098": { "node_id": "node_2098", "content": "INITIAL DESIGN (Trace 303)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 159.75 kg\n Factor of Safety: 0.78\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.75161580198542, "fos_buckling": 0.7846710391607479, "fos_yielding": 4.266004225719724, "deflection": 0.0022908261878508388, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2099": { "node_id": "node_2099", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 181.14 kg\n Factor of Safety: 0.87\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.1391685519855, "fos_buckling": 0.8696812754903863, "fos_yielding": 4.829564519266837, "deflection": 0.0020235295056425288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_2098", "improvement_over_parent": null }, "node_2100": { "node_id": "node_2100", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 195.01 kg\n Factor of Safety: 1.26\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.00952642294337, "fos_buckling": 1.2608916521483087, "fos_yielding": 5.388267707584555, "deflection": 0.0015586501444382755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2099", "improvement_over_parent": null }, "node_2101": { "node_id": "node_2101", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 202.88 kg\n Factor of Safety: 1.38\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.87540261135686, "fos_buckling": 1.3750513745220105, "fos_yielding": 5.876115449716077, "deflection": 0.0015169735348213708, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2100", "improvement_over_parent": null }, "node_2102": { "node_id": "node_2102", "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13788728737174, "fos_buckling": 1.5519781179018586, "fos_yielding": 6.319115538990737, "deflection": 0.0014901822012898759, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.230)" }, "parent_node_id": "node_2101", "improvement_over_parent": null }, "node_2103": { "node_id": "node_2103", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2102", "improvement_over_parent": null }, "node_2104": { "node_id": "node_2104", "content": "INITIAL DESIGN (Trace 304)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 106.88 kg\n Factor of Safety: 0.67\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.88480299926901, "fos_buckling": 0.6745898133194176, "fos_yielding": 3.2842495592377183, "deflection": 0.0030950481526948953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2105": { "node_id": "node_2105", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 119.05 kg\n Factor of Safety: 0.75\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.05020314199055, "fos_buckling": 0.7533941136335744, "fos_yielding": 3.6467975937961916, "deflection": 0.00258945250575329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002596)" }, "parent_node_id": "node_2104", "improvement_over_parent": null }, "node_2106": { "node_id": "node_2106", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0024)]\n\nPerformance:\n Mass: 129.82 kg\n Factor of Safety: 0.94\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.82408668141625, "fos_buckling": 0.9438668035602782, "fos_yielding": 3.6402456236844554, "deflection": 0.0023229449102254145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002443)" }, "parent_node_id": "node_2105", "improvement_over_parent": null }, "node_2107": { "node_id": "node_2107", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 141.05 kg\n Factor of Safety: 1.14\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.04605395356268, "fos_buckling": 1.1394178753668611, "fos_yielding": 4.3944345946977315, "deflection": 0.002141150901270543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002493)" }, "parent_node_id": "node_2106", "improvement_over_parent": null }, "node_2108": { "node_id": "node_2108", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n\nPerformance:\n Mass: 171.12 kg\n Factor of Safety: 1.34\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.12422809248673, "fos_buckling": 1.343432364319279, "fos_yielding": 5.315003583797308, "deflection": 0.0017709223109773442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.230)" }, "parent_node_id": "node_2107", "improvement_over_parent": null }, "node_2109": { "node_id": "node_2109", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1563848129452, "fos_buckling": 1.5520320836829935, "fos_yielding": 6.319420711852752, "deflection": 0.0014900212214032946, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2108", "improvement_over_parent": null }, "node_2110": { "node_id": "node_2110", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2109", "improvement_over_parent": null }, "node_2111": { "node_id": "node_2111", "content": "INITIAL DESIGN (Trace 305)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 146.89 kg\n Factor of Safety: 0.93\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.88514995572507, "fos_buckling": 0.9313150764892928, "fos_yielding": 4.6510942460328994, "deflection": 0.0020744187570241562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2112": { "node_id": "node_2112", "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 152.32 kg\n Factor of Safety: 0.93\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.3164928260854, "fos_buckling": 0.9318848197732211, "fos_yielding": 4.649692327277752, "deflection": 0.0020324374868561845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.580)" }, "parent_node_id": "node_2111", "improvement_over_parent": null }, "node_2113": { "node_id": "node_2113", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 172.28 kg\n Factor of Safety: 1.03\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.27934725021981, "fos_buckling": 1.0323096187950684, "fos_yielding": 5.248325384468468, "deflection": 0.001801428903002207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2112", "improvement_over_parent": null }, "node_2114": { "node_id": "node_2114", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 187.87 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.87416732061362, "fos_buckling": 1.2857048193933334, "fos_yielding": 5.234761972022562, "deflection": 0.0016162879020509627, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2113", "improvement_over_parent": null }, "node_2115": { "node_id": "node_2115", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1195135616107, "fos_buckling": 1.5517344946986258, "fos_yielding": 6.317904857319327, "deflection": 0.0014903640567137965, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2114", "improvement_over_parent": null }, "node_2116": { "node_id": "node_2116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2115", "improvement_over_parent": null }, "node_2117": { "node_id": "node_2117", "content": "INITIAL DESIGN (Trace 306)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 127.05 kg\n Factor of Safety: 0.56\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.05448610123582, "fos_buckling": 0.556817845629588, "fos_yielding": 4.01687890187316, "deflection": 0.002754751928015804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2118": { "node_id": "node_2118", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 148.03 kg\n Factor of Safety: 0.63\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.0307257903206, "fos_buckling": 0.6318556109500116, "fos_yielding": 4.668498592024933, "deflection": 0.0023752584917171456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_2117", "improvement_over_parent": null }, "node_2119": { "node_id": "node_2119", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 166.63 kg\n Factor of Safety: 0.69\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.63171145061852, "fos_buckling": 0.6945300009092712, "fos_yielding": 5.2436313584685825, "deflection": 0.002118672033830657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2118", "improvement_over_parent": null }, "node_2120": { "node_id": "node_2120", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 182.88 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.87705769161562, "fos_buckling": 0.6933032564080654, "fos_yielding": 5.370126220861499, "deflection": 0.0019713570481122294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2119", "improvement_over_parent": null }, "node_2121": { "node_id": "node_2121", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 196.86 kg\n Factor of Safety: 1.29\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.8574799416216, "fos_buckling": 1.2889865297013947, "fos_yielding": 6.320298160363439, "deflection": 0.001532625964802113, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002777)" }, "parent_node_id": "node_2120", "improvement_over_parent": null }, "node_2122": { "node_id": "node_2122", "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.1924382925946, "fos_buckling": 1.5529608616344202, "fos_yielding": 6.323494535474119, "deflection": 0.0014989683910992771, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.497)" }, "parent_node_id": "node_2121", "improvement_over_parent": null }, "node_2123": { "node_id": "node_2123", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.20387033585405, "fos_buckling": 1.5523390211472963, "fos_yielding": 6.320962465916279, "deflection": 0.0014896525607775058, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.294)" }, "parent_node_id": "node_2122", "improvement_over_parent": null }, "node_2124": { "node_id": "node_2124", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2123", "improvement_over_parent": null }, "node_2125": { "node_id": "node_2125", "content": "INITIAL DESIGN (Trace 307)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 126.34 kg\n Factor of Safety: 0.18\n Max Deflection: 1.05e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.34467739628107, "fos_buckling": 0.18052499215025444, "fos_yielding": 1.5523274337259596, "deflection": 10528611150888.418, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2126": { "node_id": "node_2126", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 0.63\n Max Deflection: 3.22e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.53659490590155, "fos_buckling": 0.6277569879466293, "fos_yielding": 4.598059646898303, "deflection": 3223207889126.105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2125", "improvement_over_parent": null }, "node_2127": { "node_id": "node_2127", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 148.31 kg\n Factor of Safety: 0.56\n Max Deflection: 4.19e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.3119384388737, "fos_buckling": 0.5600977221634317, "fos_yielding": 3.3745074871980028, "deflection": 4187381962848.9824, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.340)" }, "parent_node_id": "node_2126", "improvement_over_parent": null }, "node_2128": { "node_id": "node_2128", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 166.26 kg\n Factor of Safety: 0.44\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.26139059795995, "fos_buckling": 0.4409806621903849, "fos_yielding": 2.9684846971350294, "deflection": 0.004776387294299567, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003537)" }, "parent_node_id": "node_2127", "improvement_over_parent": null }, "node_2129": { "node_id": "node_2129", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 172.42 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.4228291576295, "fos_buckling": 1.3519271588053818, "fos_yielding": 5.354558304186627, "deflection": 0.0017578296517482509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002770)" }, "parent_node_id": "node_2128", "improvement_over_parent": null }, "node_2130": { "node_id": "node_2130", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1342074112134, "fos_buckling": 1.5518867901127145, "fos_yielding": 6.318676600880192, "deflection": 0.0014901652587252265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2129", "improvement_over_parent": null }, "node_2131": { "node_id": "node_2131", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2130", "improvement_over_parent": null }, "node_2132": { "node_id": "node_2132", "content": "INITIAL DESIGN (Trace 308)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 114.97 kg\n Factor of Safety: 0.24\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.96795208307495, "fos_buckling": 0.23621873640031762, "fos_yielding": 1.895765985340145, "deflection": 0.005914491303400565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2133": { "node_id": "node_2133", "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 115.51 kg\n Factor of Safety: 0.24\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.50704841544373, "fos_buckling": 0.23621164169772202, "fos_yielding": 1.8957090470292308, "deflection": 0.005905567561678197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.225)" }, "parent_node_id": "node_2132", "improvement_over_parent": null }, "node_2134": { "node_id": "node_2134", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n\nPerformance:\n Mass: 140.79 kg\n Factor of Safety: 0.81\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.78654532647408, "fos_buckling": 0.8052945777566437, "fos_yielding": 3.968517659077179, "deflection": 0.0021601282035817932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003910)" }, "parent_node_id": "node_2133", "improvement_over_parent": null }, "node_2135": { "node_id": "node_2135", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 152.43 kg\n Factor of Safety: 1.22\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.42699710266126, "fos_buckling": 1.2182282018146982, "fos_yielding": 4.74356111809079, "deflection": 0.0019838413529505664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002653)" }, "parent_node_id": "node_2134", "improvement_over_parent": null }, "node_2136": { "node_id": "node_2136", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 179.16 kg\n Factor of Safety: 1.40\n Max Deflection: 1.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.1603446803081, "fos_buckling": 1.3956941927413133, "fos_yielding": 5.560139533627987, "deflection": 0.0016930168285438376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.190)" }, "parent_node_id": "node_2135", "improvement_over_parent": null }, "node_2137": { "node_id": "node_2137", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1104515271481, "fos_buckling": 1.551782758189307, "fos_yielding": 6.31819731046171, "deflection": 0.001490320112838962, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2136", "improvement_over_parent": null }, "node_2138": { "node_id": "node_2138", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2137", "improvement_over_parent": null }, "node_2139": { "node_id": "node_2139", "content": "INITIAL DESIGN (Trace 309)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 100.88 kg\n Factor of Safety: 0.17\n Max Deflection: 1.51e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.88405120837422, "fos_buckling": 0.16949904560967619, "fos_yielding": 1.6307673266649088, "deflection": 0.015061564863677393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2140": { "node_id": "node_2140", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 126.57 kg\n Factor of Safety: 0.21\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.56974240129136, "fos_buckling": 0.20764056598089953, "fos_yielding": 2.041342142524659, "deflection": 0.0120163671455513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2139", "improvement_over_parent": null }, "node_2141": { "node_id": "node_2141", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n\nPerformance:\n Mass: 155.65 kg\n Factor of Safety: 0.92\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.64623049243468, "fos_buckling": 0.9232441961542354, "fos_yielding": 4.5172167027142995, "deflection": 0.002078982874952424, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004545)" }, "parent_node_id": "node_2140", "improvement_over_parent": null }, "node_2142": { "node_id": "node_2142", "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n\nPerformance:\n Mass: 157.65 kg\n Factor of Safety: 0.92\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.6529036155331, "fos_buckling": 0.9231331501066992, "fos_yielding": 4.517480401098535, "deflection": 0.002078985348166097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.316)" }, "parent_node_id": "node_2141", "improvement_over_parent": null }, "node_2143": { "node_id": "node_2143", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 169.57 kg\n Factor of Safety: 1.35\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.5654535406825, "fos_buckling": 1.3480246766362463, "fos_yielding": 5.354644801105733, "deflection": 0.0017509472384118797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003196)" }, "parent_node_id": "node_2142", "improvement_over_parent": null }, "node_2144": { "node_id": "node_2144", "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 172.58 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.5846624622836, "fos_buckling": 1.3483441004758911, "fos_yielding": 5.35591362150046, "deflection": 0.0017399280986651118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.220)" }, "parent_node_id": "node_2143", "improvement_over_parent": null }, "node_2145": { "node_id": "node_2145", "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0049)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 178.60 kg\n Factor of Safety: 1.32\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.60395547772606, "fos_buckling": 1.324293709790324, "fos_yielding": 5.313475967048997, "deflection": 0.0017084459444607434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.368)" }, "parent_node_id": "node_2144", "improvement_over_parent": null }, "node_2146": { "node_id": "node_2146", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 207.88 kg\n Factor of Safety: 1.49\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8820581971513, "fos_buckling": 1.4937439763406628, "fos_yielding": 6.171676495095563, "deflection": 0.0014723033770124429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2145", "improvement_over_parent": null }, "node_2147": { "node_id": "node_2147", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2146", "improvement_over_parent": null }, "node_2148": { "node_id": "node_2148", "content": "INITIAL DESIGN (Trace 310)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 104.40 kg\n Factor of Safety: 0.20\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.39817674400811, "fos_buckling": 0.2006990038005968, "fos_yielding": 1.5764336725237962, "deflection": 0.007112807471810213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2149": { "node_id": "node_2149", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n\nPerformance:\n Mass: 125.41 kg\n Factor of Safety: 1.04\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.41071230476716, "fos_buckling": 1.0359729052504647, "fos_yielding": 3.9478027545281407, "deflection": 0.0023869823263353287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003213)" }, "parent_node_id": "node_2148", "improvement_over_parent": null }, "node_2150": { "node_id": "node_2150", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n\nPerformance:\n Mass: 161.52 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.52062736944424, "fos_buckling": 1.2890737624517015, "fos_yielding": 5.064973128104291, "deflection": 0.001861205831116131, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_2149", "improvement_over_parent": null }, "node_2151": { "node_id": "node_2151", "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n\nPerformance:\n Mass: 163.15 kg\n Factor of Safety: 1.29\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.15169015254293, "fos_buckling": 1.2907237842540393, "fos_yielding": 5.071456322730588, "deflection": 0.0018557381428559924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.376)" }, "parent_node_id": "node_2150", "improvement_over_parent": null }, "node_2152": { "node_id": "node_2152", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.31235837478044, "fos_buckling": 1.553036418910597, "fos_yielding": 6.3240289163536465, "deflection": 0.0014888940228981458, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_2151", "improvement_over_parent": null }, "node_2153": { "node_id": "node_2153", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2152", "improvement_over_parent": null }, "node_2154": { "node_id": "node_2154", "content": "INITIAL DESIGN (Trace 311)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 149.51 kg\n Factor of Safety: 0.77\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.50621444956687, "fos_buckling": 0.7684191932703459, "fos_yielding": 3.890613508239557, "deflection": 0.002187698128599854, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2155": { "node_id": "node_2155", "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 151.17 kg\n Factor of Safety: 0.77\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.16722496329677, "fos_buckling": 0.7680003058749982, "fos_yielding": 5.04734033694671, "deflection": 0.0021162295141648334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.420)" }, "parent_node_id": "node_2154", "improvement_over_parent": null }, "node_2156": { "node_id": "node_2156", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 168.69 kg\n Factor of Safety: 0.84\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.69161763489896, "fos_buckling": 0.8400938386397667, "fos_yielding": 5.613076028673969, "deflection": 0.001900450066178881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2155", "improvement_over_parent": null }, "node_2157": { "node_id": "node_2157", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n\nPerformance:\n Mass: 184.62 kg\n Factor of Safety: 1.43\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.62013644890962, "fos_buckling": 1.43057950215029, "fos_yielding": 5.7260730857587365, "deflection": 0.0016440210473284362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003468)" }, "parent_node_id": "node_2156", "improvement_over_parent": null }, "node_2158": { "node_id": "node_2158", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10808000231134, "fos_buckling": 1.551712265971082, "fos_yielding": 6.317815063869208, "deflection": 0.0014903751748625768, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2157", "improvement_over_parent": null }, "node_2159": { "node_id": "node_2159", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2158", "improvement_over_parent": null }, "node_2160": { "node_id": "node_2160", "content": "INITIAL DESIGN (Trace 312)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 140.44 kg\n Factor of Safety: 1.03\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.4432874694881, "fos_buckling": 1.0260599019485972, "fos_yielding": 4.005334943231342, "deflection": 0.0021241809612706384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2161": { "node_id": "node_2161", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 152.81 kg\n Factor of Safety: 1.07\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.8092406011635, "fos_buckling": 1.0659221040583218, "fos_yielding": 4.78223370186043, "deflection": 0.001968322446526595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002765)" }, "parent_node_id": "node_2160", "improvement_over_parent": null }, "node_2162": { "node_id": "node_2162", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 174.71 kg\n Factor of Safety: 1.20\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.71286083641166, "fos_buckling": 1.2024229717607262, "fos_yielding": 5.455055916955977, "deflection": 0.0017260178510875124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2161", "improvement_over_parent": null }, "node_2163": { "node_id": "node_2163", "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 175.70 kg\n Factor of Safety: 1.24\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.6964616559049, "fos_buckling": 1.2380792594645886, "fos_yielding": 5.511160256800359, "deflection": 0.0017189019958109048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.453)" }, "parent_node_id": "node_2162", "improvement_over_parent": null }, "node_2164": { "node_id": "node_2164", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 177.64 kg\n Factor of Safety: 1.39\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.642955787978, "fos_buckling": 1.3859021634465647, "fos_yielding": 5.513891817190503, "deflection": 0.0017071947186677679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.271)" }, "parent_node_id": "node_2163", "improvement_over_parent": null }, "node_2165": { "node_id": "node_2165", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16150530290662, "fos_buckling": 1.552092547283318, "fos_yielding": 6.319722257702391, "deflection": 0.0014899679221771957, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2164", "improvement_over_parent": null }, "node_2166": { "node_id": "node_2166", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2165", "improvement_over_parent": null }, "node_2167": { "node_id": "node_2167", "content": "INITIAL DESIGN (Trace 313)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 150.03 kg\n Factor of Safety: 1.10\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.02815860287885, "fos_buckling": 1.104345640838068, "fos_yielding": 4.755099289514559, "deflection": 0.0020034680350471466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2168": { "node_id": "node_2168", "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 152.69 kg\n Factor of Safety: 1.22\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.69082089866055, "fos_buckling": 1.2199899543931207, "fos_yielding": 4.751456129019516, "deflection": 0.001980521886204287, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.227)" }, "parent_node_id": "node_2167", "improvement_over_parent": null }, "node_2169": { "node_id": "node_2169", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 175.29 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.28585281149248, "fos_buckling": 1.3705883388450089, "fos_yielding": 5.441860751458359, "deflection": 0.0017297109788479105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2168", "improvement_over_parent": null }, "node_2170": { "node_id": "node_2170", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16799526488686, "fos_buckling": 1.5520897799427384, "fos_yielding": 6.31970054041322, "deflection": 0.001489944669937807, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2169", "improvement_over_parent": null }, "node_2171": { "node_id": "node_2171", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2170", "improvement_over_parent": null }, "node_2172": { "node_id": "node_2172", "content": "INITIAL DESIGN (Trace 314)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 120.24 kg\n Factor of Safety: 0.72\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.23663419839139, "fos_buckling": 0.7219012162548104, "fos_yielding": 2.814898262231997, "deflection": 0.0028260462767127734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2173": { "node_id": "node_2173", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n\nPerformance:\n Mass: 122.73 kg\n Factor of Safety: 0.71\n Max Deflection: 2.83e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.72632315074185, "fos_buckling": 0.7129438085575132, "fos_yielding": 2.8311045034885014, "deflection": 0.0028266460204501315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001517)" }, "parent_node_id": "node_2172", "improvement_over_parent": null }, "node_2174": { "node_id": "node_2174", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n\nPerformance:\n Mass: 146.33 kg\n Factor of Safety: 0.83\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.3340425096111, "fos_buckling": 0.8327287934794319, "fos_yielding": 3.3769156264483113, "deflection": 0.002374588058481986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2173", "improvement_over_parent": null }, "node_2175": { "node_id": "node_2175", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n\nPerformance:\n Mass: 155.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.37355011400422, "fos_buckling": 1.162606852811405, "fos_yielding": 4.05676576490866, "deflection": 0.001981693647238231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002379)" }, "parent_node_id": "node_2174", "improvement_over_parent": null }, "node_2176": { "node_id": "node_2176", "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n\nPerformance:\n Mass: 156.47 kg\n Factor of Safety: 1.19\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.47269327638662, "fos_buckling": 1.1942693698390816, "fos_yielding": 4.872340259517206, "deflection": 0.0019317599175579904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.232)" }, "parent_node_id": "node_2175", "improvement_over_parent": null }, "node_2177": { "node_id": "node_2177", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n\nPerformance:\n Mass: 182.56 kg\n Factor of Safety: 1.37\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.5619147732541, "fos_buckling": 1.3709401000818613, "fos_yielding": 5.669807706653119, "deflection": 0.0016605578168658918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2176", "improvement_over_parent": null }, "node_2178": { "node_id": "node_2178", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 202.02 kg\n Factor of Safety: 1.50\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.0180841285875, "fos_buckling": 1.4984018765004588, "fos_yielding": 6.261796409532211, "deflection": 0.001503907050050483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_2177", "improvement_over_parent": null }, "node_2179": { "node_id": "node_2179", "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.50\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0279648123253, "fos_buckling": 1.5046490643818815, "fos_yielding": 6.264088708528241, "deflection": 0.001497089753662345, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.202)" }, "parent_node_id": "node_2178", "improvement_over_parent": null }, "node_2180": { "node_id": "node_2180", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2179", "improvement_over_parent": null }, "node_2181": { "node_id": "node_2181", "content": "INITIAL DESIGN (Trace 315)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 115.79 kg\n Factor of Safety: 0.26\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.78742412690167, "fos_buckling": 0.26488992795244276, "fos_yielding": 2.165998964379906, "deflection": 0.00720830720639048, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2182": { "node_id": "node_2182", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 133.13 kg\n Factor of Safety: 0.26\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.13261285979462, "fos_buckling": 0.26463449877125245, "fos_yielding": 2.163910325728345, "deflection": 0.007087552854469407, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003499)" }, "parent_node_id": "node_2181", "improvement_over_parent": null }, "node_2183": { "node_id": "node_2183", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 135.11 kg\n Factor of Safety: 0.26\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.10737068518947, "fos_buckling": 0.26454736939965245, "fos_yielding": 2.1631978708225983, "deflection": 0.007020259813061658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.188)" }, "parent_node_id": "node_2182", "improvement_over_parent": null }, "node_2184": { "node_id": "node_2184", "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 137.53 kg\n Factor of Safety: 0.26\n Max Deflection: 6.99e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.53434932765475, "fos_buckling": 0.26451169194590735, "fos_yielding": 2.1629061370882847, "deflection": 0.006985181924028878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.208)" }, "parent_node_id": "node_2183", "improvement_over_parent": null }, "node_2185": { "node_id": "node_2185", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 161.10 kg\n Factor of Safety: 0.30\n Max Deflection: 5.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.0969271359531, "fos_buckling": 0.30108472739190273, "fos_yielding": 2.5268562109416695, "deflection": 0.005978874258823312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_2184", "improvement_over_parent": null }, "node_2186": { "node_id": "node_2186", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 163.04 kg\n Factor of Safety: 0.30\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.0446440727412, "fos_buckling": 0.30098723947580786, "fos_yielding": 2.5260380427522366, "deflection": 0.00579464638292621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.351)" }, "parent_node_id": "node_2185", "improvement_over_parent": null }, "node_2187": { "node_id": "node_2187", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 170.34 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.34017012594416, "fos_buckling": 0.300622641277035, "fos_yielding": 2.5229781491766046, "deflection": 0.00442691428104718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2186", "improvement_over_parent": null }, "node_2188": { "node_id": "node_2188", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.198061054308, "fos_buckling": 1.5520647786119135, "fos_yielding": 6.3212464585865025, "deflection": 0.0014898778863359043, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2187", "improvement_over_parent": null }, "node_2189": { "node_id": "node_2189", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2188", "improvement_over_parent": null }, "node_2190": { "node_id": "node_2190", "content": "INITIAL DESIGN (Trace 316)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 114.58 kg\n Factor of Safety: 0.58\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.58271878416298, "fos_buckling": 0.5830665610800505, "fos_yielding": 3.231421621063148, "deflection": 0.0030644941934272526, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2191": { "node_id": "node_2191", "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 115.80 kg\n Factor of Safety: 0.58\n Max Deflection: 3.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.79851505603244, "fos_buckling": 0.5828322177648384, "fos_yielding": 3.6688702400314095, "deflection": 0.003030191596722338, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.364)" }, "parent_node_id": "node_2190", "improvement_over_parent": null }, "node_2192": { "node_id": "node_2192", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n\nPerformance:\n Mass: 118.24 kg\n Factor of Safety: 0.99\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.23798610338197, "fos_buckling": 0.9864334047368314, "fos_yielding": 3.7385446892746566, "deflection": 0.0025228817509799105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001420)" }, "parent_node_id": "node_2191", "improvement_over_parent": null }, "node_2193": { "node_id": "node_2193", "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0031)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n\nPerformance:\n Mass: 122.09 kg\n Factor of Safety: 0.93\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.09279046939385, "fos_buckling": 0.9266024323559253, "fos_yielding": 3.7426223745093488, "deflection": 0.0024921248230328156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.639)" }, "parent_node_id": "node_2192", "improvement_over_parent": null }, "node_2194": { "node_id": "node_2194", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0036)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n\nPerformance:\n Mass: 138.06 kg\n Factor of Safety: 1.03\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.06057309228413, "fos_buckling": 1.0328786845804416, "fos_yielding": 4.2267610505553455, "deflection": 0.002207205992039702, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_2193", "improvement_over_parent": null }, "node_2195": { "node_id": "node_2195", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0042)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 161.29 kg\n Factor of Safety: 1.18\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.29247019419233, "fos_buckling": 1.1814896047226577, "fos_yielding": 4.929056605158473, "deflection": 0.0018933980311780616, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2194", "improvement_over_parent": null }, "node_2196": { "node_id": "node_2196", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0056)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 207.49 kg\n Factor of Safety: 1.46\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.49326098445073, "fos_buckling": 1.4561224644758157, "fos_yielding": 6.318591604152703, "deflection": 0.0014781043752795384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2195", "improvement_over_parent": null }, "node_2197": { "node_id": "node_2197", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2196", "improvement_over_parent": null }, "node_2198": { "node_id": "node_2198", "content": "INITIAL DESIGN (Trace 317)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0007)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 84.93 kg\n Factor of Safety: 0.69\n Max Deflection: 3.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 84.93191287103785, "fos_buckling": 0.6940985518241513, "fos_yielding": 2.733865754210401, "deflection": 0.0034801934550047404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2199": { "node_id": "node_2199", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0009)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 106.38 kg\n Factor of Safety: 0.86\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.38273482562713, "fos_buckling": 0.8571513281949541, "fos_yielding": 3.416139766616928, "deflection": 0.002785432661677987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2198", "improvement_over_parent": null }, "node_2200": { "node_id": "node_2200", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 137.18 kg\n Factor of Safety: 1.08\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.17642558401485, "fos_buckling": 1.082495771659129, "fos_yielding": 4.389812367307295, "deflection": 0.002167942341139489, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.307)" }, "parent_node_id": "node_2199", "improvement_over_parent": null }, "node_2201": { "node_id": "node_2201", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 153.33 kg\n Factor of Safety: 1.20\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.33368277548132, "fos_buckling": 1.1965952454468514, "fos_yielding": 4.897976002679895, "deflection": 0.0019431654441065148, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2200", "improvement_over_parent": null }, "node_2202": { "node_id": "node_2202", "content": "MODIFICATION: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 155.76 kg\n Factor of Safety: 1.25\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.75667148090332, "fos_buckling": 1.2504070465907, "fos_yielding": 4.906151431232178, "deflection": 0.0019233608603808291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.185)" }, "parent_node_id": "node_2201", "improvement_over_parent": null }, "node_2203": { "node_id": "node_2203", "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 158.07 kg\n Factor of Safety: 1.26\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.07426633383767, "fos_buckling": 1.2565915127854814, "fos_yielding": 4.916383371765422, "deflection": 0.0019142191020564351, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.658)" }, "parent_node_id": "node_2202", "improvement_over_parent": null }, "node_2204": { "node_id": "node_2204", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.02 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.01831428167802, "fos_buckling": 1.5512164829394441, "fos_yielding": 6.315339138794166, "deflection": 0.001490983588586817, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2203", "improvement_over_parent": null }, "node_2205": { "node_id": "node_2205", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2204", "improvement_over_parent": null }, "node_2206": { "node_id": "node_2206", "content": "INITIAL DESIGN (Trace 318)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 109.68 kg\n Factor of Safety: 0.31\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.68154665755344, "fos_buckling": 0.3102744686060736, "fos_yielding": 1.9941599383019841, "deflection": 0.007180790266857644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2207": { "node_id": "node_2207", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 123.60 kg\n Factor of Safety: 0.34\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.59909828021352, "fos_buckling": 0.3449428306034177, "fos_yielding": 2.2428185942969048, "deflection": 0.006387043773666499, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2206", "improvement_over_parent": null }, "node_2208": { "node_id": "node_2208", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n\nPerformance:\n Mass: 128.22 kg\n Factor of Safety: 0.84\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.22369729667884, "fos_buckling": 0.8355510722859382, "fos_yielding": 3.9835827680043043, "deflection": 0.0023484311284196514, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002039)" }, "parent_node_id": "node_2207", "improvement_over_parent": null }, "node_2209": { "node_id": "node_2209", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 155.66 kg\n Factor of Safety: 1.00\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.65970433084803, "fos_buckling": 0.9999841288249658, "fos_yielding": 4.822590768941026, "deflection": 0.0019406152975753957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2208", "improvement_over_parent": null }, "node_2210": { "node_id": "node_2210", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 202.49 kg\n Factor of Safety: 1.27\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.4878526641893, "fos_buckling": 1.2690575729837805, "fos_yielding": 6.244015607081736, "deflection": 0.0014998367454644385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_2209", "improvement_over_parent": null }, "node_2211": { "node_id": "node_2211", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.23\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.23064570672094, "fos_buckling": 1.2299192964322265, "fos_yielding": 6.282509927742481, "deflection": 0.0014960317544068093, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.189)" }, "parent_node_id": "node_2210", "improvement_over_parent": null }, "node_2212": { "node_id": "node_2212", "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 205.61 kg\n Factor of Safety: 1.44\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.60700796524208, "fos_buckling": 1.4383459035150625, "fos_yielding": 6.373822895160386, "deflection": 0.001487322694049288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.613)" }, "parent_node_id": "node_2211", "improvement_over_parent": null }, "node_2213": { "node_id": "node_2213", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2212", "improvement_over_parent": null }, "node_2214": { "node_id": "node_2214", "content": "INITIAL DESIGN (Trace 319)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 94.23 kg\n Factor of Safety: 0.42\n Max Deflection: 3.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.2264279708096, "fos_buckling": 0.419150800588943, "fos_yielding": 3.4018303594039363, "deflection": 0.003339036024249421, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2215": { "node_id": "node_2215", "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 96.76 kg\n Factor of Safety: 0.42\n Max Deflection: 3.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.75680498308336, "fos_buckling": 0.4187990128023559, "fos_yielding": 3.386572163033857, "deflection": 0.003290037183487127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.439)" }, "parent_node_id": "node_2214", "improvement_over_parent": null }, "node_2216": { "node_id": "node_2216", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 99.62 kg\n Factor of Safety: 0.55\n Max Deflection: 3.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 99.61673664603944, "fos_buckling": 0.5498597191824034, "fos_yielding": 3.3861039235447654, "deflection": 0.0031272962304059633, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.361)" }, "parent_node_id": "node_2215", "improvement_over_parent": null }, "node_2217": { "node_id": "node_2217", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n\nPerformance:\n Mass: 109.29 kg\n Factor of Safety: 0.91\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.29331940643563, "fos_buckling": 0.907330689600857, "fos_yielding": 3.4168807276364332, "deflection": 0.0027113020708199845, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002039)" }, "parent_node_id": "node_2216", "improvement_over_parent": null }, "node_2218": { "node_id": "node_2218", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 130.48 kg\n Factor of Safety: 1.06\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.48227924021438, "fos_buckling": 1.0617190768687232, "fos_yielding": 4.0705331618225085, "deflection": 0.0022768027638829977, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_2217", "improvement_over_parent": null }, "node_2219": { "node_id": "node_2219", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 166.72 kg\n Factor of Safety: 1.31\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.7199144750638, "fos_buckling": 1.309861069492032, "fos_yielding": 5.18193179348858, "deflection": 0.0017896890292694774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2218", "improvement_over_parent": null }, "node_2220": { "node_id": "node_2220", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 199.26 kg\n Factor of Safety: 1.52\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 199.26412430310785, "fos_buckling": 1.5157881747595776, "fos_yielding": 6.17315031237877, "deflection": 0.0015032442934484348, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_2219", "improvement_over_parent": null }, "node_2221": { "node_id": "node_2221", "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.38 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.38383385113417, "fos_buckling": 1.5534898138685307, "fos_yielding": 6.326692798801412, "deflection": 0.0014883564189851818, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.504)" }, "parent_node_id": "node_2220", "improvement_over_parent": null }, "node_2222": { "node_id": "node_2222", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2221", "improvement_over_parent": null }, "node_2223": { "node_id": "node_2223", "content": "INITIAL DESIGN (Trace 320)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 136.45 kg\n Factor of Safety: 0.82\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.44767392966114, "fos_buckling": 0.8221915927797214, "fos_yielding": 4.209383906471791, "deflection": 0.0025429099544212698, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2224": { "node_id": "node_2224", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 156.38 kg\n Factor of Safety: 0.92\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.38154937602175, "fos_buckling": 0.9174366059594811, "fos_yielding": 4.8122112118110065, "deflection": 0.0022221604888884644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2223", "improvement_over_parent": null }, "node_2225": { "node_id": "node_2225", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 177.63 kg\n Factor of Safety: 0.91\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.62994088293837, "fos_buckling": 0.9110769928234869, "fos_yielding": 5.237913489326248, "deflection": 0.0019463206727983312, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2224", "improvement_over_parent": null }, "node_2226": { "node_id": "node_2226", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 181.46 kg\n Factor of Safety: 0.91\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.4608115667718, "fos_buckling": 0.9106976088271577, "fos_yielding": 6.1900300030582835, "deflection": 0.001797063547732788, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2225", "improvement_over_parent": null }, "node_2227": { "node_id": "node_2227", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 199.07 kg\n Factor of Safety: 1.39\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.06941733676064, "fos_buckling": 1.389407068965238, "fos_yielding": 6.355596793770076, "deflection": 0.0015633386819303525, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2226", "improvement_over_parent": null }, "node_2228": { "node_id": "node_2228", "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 201.91 kg\n Factor of Safety: 1.40\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.90765774075714, "fos_buckling": 1.4043897213717267, "fos_yielding": 6.343556721712429, "deflection": 0.0015562033436848214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.196)" }, "parent_node_id": "node_2227", "improvement_over_parent": null }, "node_2229": { "node_id": "node_2229", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2228", "improvement_over_parent": null }, "node_2230": { "node_id": "node_2230", "content": "INITIAL DESIGN (Trace 321)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.05 kg\n Factor of Safety: 0.63\n Max Deflection: 2.89e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.05048946329111, "fos_buckling": 0.6306638867120898, "fos_yielding": 4.550613716693095, "deflection": 2891452617784.227, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2231": { "node_id": "node_2231", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.67 kg\n Factor of Safety: 0.80\n Max Deflection: 7.65e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.66590040668194, "fos_buckling": 0.8016703658848143, "fos_yielding": 4.62014928655837, "deflection": 765492518142.2795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.279)" }, "parent_node_id": "node_2230", "improvement_over_parent": null }, "node_2232": { "node_id": "node_2232", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.51\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.26072047707575, "fos_buckling": 0.5063311943296249, "fos_yielding": 2.790779440292235, "deflection": 0.004497224831396257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2231", "improvement_over_parent": null }, "node_2233": { "node_id": "node_2233", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.56 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.5562465302787, "fos_buckling": 1.5437653003133502, "fos_yielding": 6.312686206771229, "deflection": 0.0014956464365469017, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2232", "improvement_over_parent": null }, "node_2234": { "node_id": "node_2234", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 206.82 kg\n Factor of Safety: 1.47\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.81621573576302, "fos_buckling": 1.4701367023482081, "fos_yielding": 6.318421325422301, "deflection": 0.0014800431157106807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.548)" }, "parent_node_id": "node_2233", "improvement_over_parent": null }, "node_2235": { "node_id": "node_2235", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2234", "improvement_over_parent": null }, "node_2236": { "node_id": "node_2236", "content": "INITIAL DESIGN (Trace 322)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 131.05 kg\n Factor of Safety: 0.65\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.04719793894384, "fos_buckling": 0.6469813875315911, "fos_yielding": 3.04371390750912, "deflection": 0.0026842293518797465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2237": { "node_id": "node_2237", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 156.46 kg\n Factor of Safety: 0.75\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.46001742931924, "fos_buckling": 0.751718630782791, "fos_yielding": 3.631864038047445, "deflection": 0.0022544233048046197, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_2236", "improvement_over_parent": null }, "node_2238": { "node_id": "node_2238", "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.28 kg\n Factor of Safety: 0.75\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.27914614536007, "fos_buckling": 0.7512705702030612, "fos_yielding": 4.921110825615364, "deflection": 0.002168563994330452, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.493)" }, "parent_node_id": "node_2237", "improvement_over_parent": null }, "node_2239": { "node_id": "node_2239", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.56259405652372, "fos_buckling": 1.2800343356892354, "fos_yielding": 5.0229650031518895, "deflection": 0.0018735732145497203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001947)" }, "parent_node_id": "node_2238", "improvement_over_parent": null }, "node_2240": { "node_id": "node_2240", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23997647493874, "fos_buckling": 1.5525352336822196, "fos_yielding": 6.321932657665962, "deflection": 0.001489350722830196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_2239", "improvement_over_parent": null }, "node_2241": { "node_id": "node_2241", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2240", "improvement_over_parent": null }, "node_2242": { "node_id": "node_2242", "content": "INITIAL DESIGN (Trace 323)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 170.25 kg\n Factor of Safety: 0.94\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.2489477929869, "fos_buckling": 0.9428874647402264, "fos_yielding": 3.5941704227215703, "deflection": 0.0020729158403025466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2243": { "node_id": "node_2243", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 182.79 kg\n Factor of Safety: 1.45\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.78881911558207, "fos_buckling": 1.4489513209165763, "fos_yielding": 4.371553656217476, "deflection": 0.0017089951543351111, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003379)" }, "parent_node_id": "node_2242", "improvement_over_parent": null }, "node_2244": { "node_id": "node_2244", "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 184.61 kg\n Factor of Safety: 1.43\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.60564671120022, "fos_buckling": 1.4305038070783798, "fos_yielding": 5.727489016413219, "deflection": 0.0016440783568266559, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.366)" }, "parent_node_id": "node_2243", "improvement_over_parent": null }, "node_2245": { "node_id": "node_2245", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0922325065994, "fos_buckling": 1.5516324905303336, "fos_yielding": 6.319360638694259, "deflection": 0.0014904263753024, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2244", "improvement_over_parent": null }, "node_2246": { "node_id": "node_2246", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2245", "improvement_over_parent": null }, "node_2247": { "node_id": "node_2247", "content": "INITIAL DESIGN (Trace 324)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 163.40 kg\n Factor of Safety: 0.59\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.40337066715298, "fos_buckling": 0.5921848384187193, "fos_yielding": 4.444613674293392, "deflection": 0.002005326625241527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2248": { "node_id": "node_2248", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 164.26 kg\n Factor of Safety: 0.59\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.26405798740282, "fos_buckling": 0.5920733348476993, "fos_yielding": 4.443776789820276, "deflection": 0.002005498292152191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.290)" }, "parent_node_id": "node_2247", "improvement_over_parent": null }, "node_2249": { "node_id": "node_2249", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n\nPerformance:\n Mass: 175.40 kg\n Factor of Safety: 0.59\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.40222249145106, "fos_buckling": 0.5899171697539692, "fos_yielding": 4.427593800594789, "deflection": 0.0020389551699256767, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002531)" }, "parent_node_id": "node_2248", "improvement_over_parent": null }, "node_2250": { "node_id": "node_2250", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.71 kg\n Factor of Safety: 1.17\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.712409714854, "fos_buckling": 1.1695291869995506, "fos_yielding": 4.849468161501886, "deflection": 0.001578481958927866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2249", "improvement_over_parent": null }, "node_2251": { "node_id": "node_2251", "content": "MODIFICATION: Increase 12 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.82 kg\n Factor of Safety: 1.20\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.82029401182578, "fos_buckling": 1.204346973822472, "fos_yielding": 4.993840572664108, "deflection": 0.0015432219782376918, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.439)" }, "parent_node_id": "node_2250", "improvement_over_parent": null }, "node_2252": { "node_id": "node_2252", "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.55 kg\n Factor of Safety: 1.21\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.55417126405223, "fos_buckling": 1.2065334405265866, "fos_yielding": 5.002906785620272, "deflection": 0.001537501063695144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.236)" }, "parent_node_id": "node_2251", "improvement_over_parent": null }, "node_2253": { "node_id": "node_2253", "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 207.10 kg\n Factor of Safety: 1.51\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.09774709672234, "fos_buckling": 1.5080408603019104, "fos_yielding": 6.083884478588476, "deflection": 0.001477825717715394, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.587)" }, "parent_node_id": "node_2252", "improvement_over_parent": null }, "node_2254": { "node_id": "node_2254", "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0061)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 207.82 kg\n Factor of Safety: 1.54\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.8193718954294, "fos_buckling": 1.5354407792267144, "fos_yielding": 6.091167556109018, "deflection": 0.001472000636520285, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.195)" }, "parent_node_id": "node_2253", "improvement_over_parent": null }, "node_2255": { "node_id": "node_2255", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2254", "improvement_over_parent": null }, "node_2256": { "node_id": "node_2256", "content": "INITIAL DESIGN (Trace 325)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 157.84 kg\n Factor of Safety: 1.02\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.8399950184563, "fos_buckling": 1.0164808016535418, "fos_yielding": 4.901845544859468, "deflection": 0.0019152809950380143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2257": { "node_id": "node_2257", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 1.26\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.5924921057953, "fos_buckling": 1.2628011261397958, "fos_yielding": 6.2329730349771015, "deflection": 0.0015070877717419625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_2256", "improvement_over_parent": null }, "node_2258": { "node_id": "node_2258", "content": "MODIFICATION: Increase 3 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.97 kg\n Factor of Safety: 1.26\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.96629597067732, "fos_buckling": 1.2601667306931486, "fos_yielding": 6.317104297824919, "deflection": 0.001498946126320266, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.613)" }, "parent_node_id": "node_2257", "improvement_over_parent": null }, "node_2259": { "node_id": "node_2259", "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1568973361876, "fos_buckling": 1.5520578436721855, "fos_yielding": 6.31953507647208, "deflection": 0.0014900068467159806, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.441)" }, "parent_node_id": "node_2258", "improvement_over_parent": null }, "node_2260": { "node_id": "node_2260", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2259", "improvement_over_parent": null }, "node_2261": { "node_id": "node_2261", "content": "INITIAL DESIGN (Trace 326)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0013)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0011)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0020)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0014)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0016)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 81.17 kg\n Factor of Safety: 0.69\n Max Deflection: 3.70e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.16633994306129, "fos_buckling": 0.6928467367976837, "fos_yielding": 2.5446596635853527, "deflection": 0.003695048483121577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2262": { "node_id": "node_2262", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 92.27 kg\n Factor of Safety: 0.78\n Max Deflection: 3.25e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.26595641608402, "fos_buckling": 0.7797284566053385, "fos_yielding": 2.8893049330708394, "deflection": 0.0032547203373375676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_2261", "improvement_over_parent": null }, "node_2263": { "node_id": "node_2263", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 113.48 kg\n Factor of Safety: 0.94\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.47739126894152, "fos_buckling": 0.9405577920578804, "fos_yielding": 3.5457148181521743, "deflection": 0.002652846950395818, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_2262", "improvement_over_parent": null }, "node_2264": { "node_id": "node_2264", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 140.20 kg\n Factor of Safety: 1.13\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.19787516179582, "fos_buckling": 1.133495783839034, "fos_yielding": 4.3685045275257375, "deflection": 0.0021538711675682973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_2263", "improvement_over_parent": null }, "node_2265": { "node_id": "node_2265", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 160.58 kg\n Factor of Safety: 1.27\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.5819960637001, "fos_buckling": 1.2734889224158663, "fos_yielding": 4.993127354189247, "deflection": 0.0018848790044789423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2264", "improvement_over_parent": null }, "node_2266": { "node_id": "node_2266", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03093157785833, "fos_buckling": 1.5513036580592197, "fos_yielding": 6.31577546641493, "deflection": 0.0014909007963723384, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2265", "improvement_over_parent": null }, "node_2267": { "node_id": "node_2267", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2266", "improvement_over_parent": null }, "node_2268": { "node_id": "node_2268", "content": "INITIAL DESIGN (Trace 327)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 154.40 kg\n Factor of Safety: 0.78\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.39503251996481, "fos_buckling": 0.7815393445069535, "fos_yielding": 5.151865521322937, "deflection": 0.0020728196811920533, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2269": { "node_id": "node_2269", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 166.89 kg\n Factor of Safety: 1.32\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.88609216241161, "fos_buckling": 1.3246776739044055, "fos_yielding": 5.247577525132664, "deflection": 0.001803581607137784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002670)" }, "parent_node_id": "node_2268", "improvement_over_parent": null }, "node_2270": { "node_id": "node_2270", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.72729012737634, "fos_buckling": 1.5411899876404669, "fos_yielding": 6.319024944488394, "deflection": 0.0014982121357754196, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.229)" }, "parent_node_id": "node_2269", "improvement_over_parent": null }, "node_2271": { "node_id": "node_2271", "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 204.97 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.97368973324447, "fos_buckling": 1.550946482186467, "fos_yielding": 6.3152646930030025, "deflection": 0.0014855308647328711, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.179)" }, "parent_node_id": "node_2270", "improvement_over_parent": null }, "node_2272": { "node_id": "node_2272", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2271", "improvement_over_parent": null }, "node_2273": { "node_id": "node_2273", "content": "INITIAL DESIGN (Trace 328)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2274": { "node_id": "node_2274", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 167.85 kg\n Factor of Safety: 1.18\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.84968727529034, "fos_buckling": 1.178779531133332, "fos_yielding": 4.713150685303139, "deflection": 0.0018027687671842369, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002146)" }, "parent_node_id": "node_2273", "improvement_over_parent": null }, "node_2275": { "node_id": "node_2275", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 182.44 kg\n Factor of Safety: 1.19\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.43991815700124, "fos_buckling": 1.1931238047483879, "fos_yielding": 5.686590146137349, "deflection": 0.0016632407450863553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003305)" }, "parent_node_id": "node_2274", "improvement_over_parent": null }, "node_2276": { "node_id": "node_2276", "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 1.19\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.43106894312368, "fos_buckling": 1.1910443927814833, "fos_yielding": 5.743455609266936, "deflection": 0.0016548639784204104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.362)" }, "parent_node_id": "node_2275", "improvement_over_parent": null }, "node_2277": { "node_id": "node_2277", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 206.48 kg\n Factor of Safety: 1.31\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.47635624114798, "fos_buckling": 1.3077594126583456, "fos_yielding": 6.381231266808409, "deflection": 0.001489404095114432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_2276", "improvement_over_parent": null }, "node_2278": { "node_id": "node_2278", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2277", "improvement_over_parent": null }, "node_2279": { "node_id": "node_2279", "content": "INITIAL DESIGN (Trace 329)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 96.33 kg\n Factor of Safety: 0.58\n Max Deflection: 3.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.32600403955043, "fos_buckling": 0.5755145302105698, "fos_yielding": 3.0543525363934494, "deflection": 0.0031448908651499487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2280": { "node_id": "node_2280", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n\nPerformance:\n Mass: 106.50 kg\n Factor of Safety: 0.79\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.50385484287446, "fos_buckling": 0.7940612179699685, "fos_yielding": 3.052620567635708, "deflection": 0.002800039514110096, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002150)" }, "parent_node_id": "node_2279", "improvement_over_parent": null }, "node_2281": { "node_id": "node_2281", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n\nPerformance:\n Mass: 138.33 kg\n Factor of Safety: 1.01\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.33424271673246, "fos_buckling": 1.0060268630590212, "fos_yielding": 3.9501622926710986, "deflection": 0.002164280859498097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_2280", "improvement_over_parent": null }, "node_2282": { "node_id": "node_2282", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n\nPerformance:\n Mass: 150.53 kg\n Factor of Safety: 0.98\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.5287691914345, "fos_buckling": 0.9758529487257209, "fos_yielding": 4.764072995683756, "deflection": 0.0019983320781546926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002724)" }, "parent_node_id": "node_2281", "improvement_over_parent": null }, "node_2283": { "node_id": "node_2283", "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n\nPerformance:\n Mass: 153.24 kg\n Factor of Safety: 1.22\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.2428811711499, "fos_buckling": 1.223769770215143, "fos_yielding": 4.7684006968804855, "deflection": 0.0019735221551883866, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.511)" }, "parent_node_id": "node_2282", "improvement_over_parent": null }, "node_2284": { "node_id": "node_2284", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 176.75 kg\n Factor of Safety: 1.38\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.75217927955043, "fos_buckling": 1.3801106654523676, "fos_yielding": 5.486596886607129, "deflection": 0.0017156584681380141, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2283", "improvement_over_parent": null }, "node_2285": { "node_id": "node_2285", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2636117619295, "fos_buckling": 1.5526823799151002, "fos_yielding": 6.322646749190468, "deflection": 0.0014892706388063865, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2284", "improvement_over_parent": null }, "node_2286": { "node_id": "node_2286", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2285", "improvement_over_parent": null }, "node_2287": { "node_id": "node_2287", "content": "INITIAL DESIGN (Trace 330)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 169.29 kg\n Factor of Safety: 0.70\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.28710884449805, "fos_buckling": 0.7033399055944298, "fos_yielding": 5.299306297553031, "deflection": 0.002025916980029859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2288": { "node_id": "node_2288", "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 175.83 kg\n Factor of Safety: 0.70\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.8345611657291, "fos_buckling": 0.7028322575445026, "fos_yielding": 5.295465662850533, "deflection": 0.001935005353643032, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.263)" }, "parent_node_id": "node_2287", "improvement_over_parent": null }, "node_2289": { "node_id": "node_2289", "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 180.75 kg\n Factor of Safety: 0.70\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.74930917481112, "fos_buckling": 0.7032132474051206, "fos_yielding": 5.294025641487138, "deflection": 0.0019348571198474225, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.350)" }, "parent_node_id": "node_2288", "improvement_over_parent": null }, "node_2290": { "node_id": "node_2290", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 196.34 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.34412924520493, "fos_buckling": 1.3076153556301597, "fos_yielding": 6.251288626844525, "deflection": 0.0015261513433155677, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2289", "improvement_over_parent": null }, "node_2291": { "node_id": "node_2291", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21000543361842, "fos_buckling": 1.5528765325561886, "fos_yielding": 6.319265388308741, "deflection": 0.0014895447756784574, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2290", "improvement_over_parent": null }, "node_2292": { "node_id": "node_2292", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2291", "improvement_over_parent": null }, "node_2293": { "node_id": "node_2293", "content": "INITIAL DESIGN (Trace 331)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 118.97 kg\n Factor of Safety: 0.95\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.97252523332523, "fos_buckling": 0.9451354303667596, "fos_yielding": 2.6433913399072355, "deflection": 0.0027304049930025483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2294": { "node_id": "node_2294", "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 120.70 kg\n Factor of Safety: 1.00\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.69669783213072, "fos_buckling": 0.999540551718157, "fos_yielding": 2.655671190600717, "deflection": 0.0025821698699122412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.567)" }, "parent_node_id": "node_2293", "improvement_over_parent": null }, "node_2295": { "node_id": "node_2295", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 1.26\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.08196717756437, "fos_buckling": 1.2630631634285743, "fos_yielding": 3.48304805151784, "deflection": 0.0019786432280720955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_2294", "improvement_over_parent": null }, "node_2296": { "node_id": "node_2296", "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 160.23 kg\n Factor of Safety: 1.26\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.22923527926972, "fos_buckling": 1.2592176231068375, "fos_yielding": 5.088185485909348, "deflection": 0.0018699149053862352, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.543)" }, "parent_node_id": "node_2295", "improvement_over_parent": null }, "node_2297": { "node_id": "node_2297", "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.74 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.73582750769586, "fos_buckling": 1.294575090798283, "fos_yielding": 5.091478852798297, "deflection": 0.0018491108755939389, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.355)" }, "parent_node_id": "node_2296", "improvement_over_parent": null }, "node_2298": { "node_id": "node_2298", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1514873416769, "fos_buckling": 1.552011266195524, "fos_yielding": 6.321789355361214, "deflection": 0.0014899366121799258, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_2297", "improvement_over_parent": null }, "node_2299": { "node_id": "node_2299", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2298", "improvement_over_parent": null }, "node_2300": { "node_id": "node_2300", "content": "INITIAL DESIGN (Trace 332)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 119.31 kg\n Factor of Safety: 0.68\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.30976977042954, "fos_buckling": 0.6813372574813801, "fos_yielding": 2.948275200839415, "deflection": 0.0026588789832429115, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2301": { "node_id": "node_2301", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 140.09 kg\n Factor of Safety: 0.79\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.0850727282477, "fos_buckling": 0.7919487469244402, "fos_yielding": 3.4614071893977054, "deflection": 0.0022686929292446223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_2300", "improvement_over_parent": null }, "node_2302": { "node_id": "node_2302", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 157.59 kg\n Factor of Safety: 0.88\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.59404644318414, "fos_buckling": 0.8833516146979209, "fos_yielding": 3.894049647914298, "deflection": 0.002019703927921161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2301", "improvement_over_parent": null }, "node_2303": { "node_id": "node_2303", "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 158.07 kg\n Factor of Safety: 1.03\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.0704888491166, "fos_buckling": 1.0312156405960595, "fos_yielding": 3.9258005078084923, "deflection": 0.0020121713088957294, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.245)" }, "parent_node_id": "node_2302", "improvement_over_parent": null }, "node_2304": { "node_id": "node_2304", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.22 kg\n Factor of Safety: 1.25\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.2191019789778, "fos_buckling": 1.2464756797735872, "fos_yielding": 4.873547057324457, "deflection": 0.0016263391410852037, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.264)" }, "parent_node_id": "node_2303", "improvement_over_parent": null }, "node_2305": { "node_id": "node_2305", "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.89 kg\n Factor of Safety: 1.42\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.889176561494, "fos_buckling": 1.4190403984381885, "fos_yielding": 4.905217680141311, "deflection": 0.001621558185895461, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.233)" }, "parent_node_id": "node_2304", "improvement_over_parent": null }, "node_2306": { "node_id": "node_2306", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.95 kg\n Factor of Safety: 1.57\n Max Deflection: 1.55e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.94597550758664, "fos_buckling": 1.565407284736122, "fos_yielding": 4.782939494685711, "deflection": 0.0015518707672410234, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.193)" }, "parent_node_id": "node_2305", "improvement_over_parent": null }, "node_2307": { "node_id": "node_2307", "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.01 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0069401860575, "fos_buckling": 1.5511342108103783, "fos_yielding": 6.3179297160494405, "deflection": 0.0014909982514518386, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.383)" }, "parent_node_id": "node_2306", "improvement_over_parent": null }, "node_2308": { "node_id": "node_2308", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2307", "improvement_over_parent": null }, "node_2309": { "node_id": "node_2309", "content": "INITIAL DESIGN (Trace 333)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 146.49 kg\n Factor of Safety: 0.75\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.49465861061984, "fos_buckling": 0.7548171244164814, "fos_yielding": 4.1754711467745365, "deflection": 0.002302112522272341, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2310": { "node_id": "node_2310", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 149.79 kg\n Factor of Safety: 1.06\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.7922312328555, "fos_buckling": 1.063307657271609, "fos_yielding": 4.174707795348623, "deflection": 0.002049093130959578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001956)" }, "parent_node_id": "node_2309", "improvement_over_parent": null }, "node_2311": { "node_id": "node_2311", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 188.73 kg\n Factor of Safety: 1.29\n Max Deflection: 1.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.73412035135627, "fos_buckling": 1.2850134179578896, "fos_yielding": 5.2321032282118445, "deflection": 0.001635138221895411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2310", "improvement_over_parent": null }, "node_2312": { "node_id": "node_2312", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 192.56 kg\n Factor of Safety: 1.49\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.5649910351897, "fos_buckling": 1.4880882315961945, "fos_yielding": 6.122497182654307, "deflection": 0.0015281225184171608, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2311", "improvement_over_parent": null }, "node_2313": { "node_id": "node_2313", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 194.08 kg\n Factor of Safety: 1.50\n Max Deflection: 1.52e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 194.07631757972902, "fos_buckling": 1.503907122226899, "fos_yielding": 6.123358090407112, "deflection": 0.0015229684030685373, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.418)" }, "parent_node_id": "node_2312", "improvement_over_parent": null }, "node_2314": { "node_id": "node_2314", "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 196.89 kg\n Factor of Safety: 1.48\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.88774116371093, "fos_buckling": 1.4805602948775438, "fos_yielding": 6.129065233707282, "deflection": 0.0015185166868645888, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.410)" }, "parent_node_id": "node_2313", "improvement_over_parent": null }, "node_2315": { "node_id": "node_2315", "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0040)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0057)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 203.34 kg\n Factor of Safety: 1.49\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.33919139136927, "fos_buckling": 1.4929379920747543, "fos_yielding": 6.140758789293835, "deflection": 0.0014949269666235348, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.346)" }, "parent_node_id": "node_2314", "improvement_over_parent": null }, "node_2316": { "node_id": "node_2316", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2315", "improvement_over_parent": null }, "node_2317": { "node_id": "node_2317", "content": "INITIAL DESIGN (Trace 334)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 152.81 kg\n Factor of Safety: 0.48\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.8102806904078, "fos_buckling": 0.4768144152598626, "fos_yielding": 4.183954875432654, "deflection": 0.002452502331573589, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2318": { "node_id": "node_2318", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 178.34 kg\n Factor of Safety: 0.54\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.33629636301538, "fos_buckling": 0.5446639577998927, "fos_yielding": 4.869244143547789, "deflection": 0.0021118222896542257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_2317", "improvement_over_parent": null }, "node_2319": { "node_id": "node_2319", "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 180.93 kg\n Factor of Safety: 0.54\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.93199028355733, "fos_buckling": 0.5443595736741268, "fos_yielding": 4.866522978321873, "deflection": 0.0021284924549917813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.253)" }, "parent_node_id": "node_2318", "improvement_over_parent": null }, "node_2320": { "node_id": "node_2320", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.24 kg\n Factor of Safety: 1.33\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.24217750696027, "fos_buckling": 1.3275597186416577, "fos_yielding": 6.312550090911524, "deflection": 0.0015043221148495784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2319", "improvement_over_parent": null }, "node_2321": { "node_id": "node_2321", "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0677915387046, "fos_buckling": 1.5514936001490394, "fos_yielding": 6.3167381266829, "deflection": 0.0014906478366403743, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.372)" }, "parent_node_id": "node_2320", "improvement_over_parent": null }, "node_2322": { "node_id": "node_2322", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2321", "improvement_over_parent": null }, "node_2323": { "node_id": "node_2323", "content": "INITIAL DESIGN (Trace 335)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 166.30 kg\n Factor of Safety: 0.63\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.29699070869822, "fos_buckling": 0.6310033051818444, "fos_yielding": 3.0920664392765764, "deflection": 0.002987040164192166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2324": { "node_id": "node_2324", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 180.17 kg\n Factor of Safety: 0.85\n Max Deflection: 2.24e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.16734857965608, "fos_buckling": 0.8482556010655667, "fos_yielding": 4.1566544175665685, "deflection": 0.0022357508619488247, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2323", "improvement_over_parent": null }, "node_2325": { "node_id": "node_2325", "content": "MODIFICATION: Increase 9 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0060)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 188.83 kg\n Factor of Safety: 0.88\n Max Deflection: 2.19e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.83405033899717, "fos_buckling": 0.8845791353393423, "fos_yielding": 4.334648384256626, "deflection": 0.002191333735348122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.626)" }, "parent_node_id": "node_2324", "improvement_over_parent": null }, "node_2326": { "node_id": "node_2326", "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0095)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 199.49 kg\n Factor of Safety: 0.84\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.49022258300195, "fos_buckling": 0.8430436143075571, "fos_yielding": 4.455994392081743, "deflection": 0.0021635722149614873, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.567)" }, "parent_node_id": "node_2325", "improvement_over_parent": null }, "node_2327": { "node_id": "node_2327", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0021)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0095)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.64 kg\n Factor of Safety: 0.82\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.6415976299238, "fos_buckling": 0.8215536160033419, "fos_yielding": 4.520711715176523, "deflection": 0.0019131552852289342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2326", "improvement_over_parent": null }, "node_2328": { "node_id": "node_2328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2327", "improvement_over_parent": null }, "node_2329": { "node_id": "node_2329", "content": "INITIAL DESIGN (Trace 336)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 119.24 kg\n Factor of Safety: 0.46\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.23695743864675, "fos_buckling": 0.4593435188048363, "fos_yielding": 2.5363809228817744, "deflection": 0.005025666921036124, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2330": { "node_id": "node_2330", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n\nPerformance:\n Mass: 134.42 kg\n Factor of Safety: 0.79\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.4167314471637, "fos_buckling": 0.7901974546584227, "fos_yielding": 3.7559888407801014, "deflection": 0.002513338292596479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002955)" }, "parent_node_id": "node_2329", "improvement_over_parent": null }, "node_2331": { "node_id": "node_2331", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 166.44 kg\n Factor of Safety: 0.95\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.44084631179967, "fos_buckling": 0.9506716919226882, "fos_yielding": 4.639242490211162, "deflection": 0.0020353744483553255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2330", "improvement_over_parent": null }, "node_2332": { "node_id": "node_2332", "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 168.32 kg\n Factor of Safety: 0.95\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.32340111757063, "fos_buckling": 0.9474311384601783, "fos_yielding": 4.646900039696785, "deflection": 0.002020227223824635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.255)" }, "parent_node_id": "node_2331", "improvement_over_parent": null }, "node_2333": { "node_id": "node_2333", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 190.38 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.38227185502754, "fos_buckling": 1.0503587398930332, "fos_yielding": 5.247473989427522, "deflection": 0.0017894333684013916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2332", "improvement_over_parent": null }, "node_2334": { "node_id": "node_2334", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2526297259854, "fos_buckling": 1.552629870850066, "fos_yielding": 6.322419797084961, "deflection": 0.001489326058999713, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2333", "improvement_over_parent": null }, "node_2335": { "node_id": "node_2335", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2334", "improvement_over_parent": null }, "node_2336": { "node_id": "node_2336", "content": "INITIAL DESIGN (Trace 337)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 147.67 kg\n Factor of Safety: 0.62\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.67037501424983, "fos_buckling": 0.6156534632191024, "fos_yielding": 2.9101053330517828, "deflection": 0.0024329723190423605, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2337": { "node_id": "node_2337", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 0.71\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.92439195961248, "fos_buckling": 0.7134297024182189, "fos_yielding": 3.4544107982683103, "deflection": 0.002058371078023905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2336", "improvement_over_parent": null }, "node_2338": { "node_id": "node_2338", "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 180.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.02289048480506, "fos_buckling": 0.9104226114477159, "fos_yielding": 3.4534380131671294, "deflection": 0.001970317896377435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.368)" }, "parent_node_id": "node_2337", "improvement_over_parent": null }, "node_2339": { "node_id": "node_2339", "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 182.73 kg\n Factor of Safety: 0.91\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.73092365719842, "fos_buckling": 0.910154655223662, "fos_yielding": 5.231436384186434, "deflection": 0.0018363919348494916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.565)" }, "parent_node_id": "node_2338", "improvement_over_parent": null }, "node_2340": { "node_id": "node_2340", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.33952942718724, "fos_buckling": 1.2843955487258614, "fos_yielding": 5.226354852998108, "deflection": 0.001617691628525231, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2339", "improvement_over_parent": null }, "node_2341": { "node_id": "node_2341", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17040011102068, "fos_buckling": 1.5523178913618059, "fos_yielding": 6.3165620224725565, "deflection": 0.001489952423450095, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2340", "improvement_over_parent": null }, "node_2342": { "node_id": "node_2342", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2341", "improvement_over_parent": null }, "node_2343": { "node_id": "node_2343", "content": "INITIAL DESIGN (Trace 338)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 115.74 kg\n Factor of Safety: 0.85\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.73729510870322, "fos_buckling": 0.8535473056256335, "fos_yielding": 3.2503024946299925, "deflection": 0.002601285050490632, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2344": { "node_id": "node_2344", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 145.88 kg\n Factor of Safety: 1.04\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.8773817273097, "fos_buckling": 1.0433184297999505, "fos_yielding": 4.083398798440416, "deflection": 0.0020712065672057536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_2343", "improvement_over_parent": null }, "node_2345": { "node_id": "node_2345", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 158.49 kg\n Factor of Safety: 1.26\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.48522707924332, "fos_buckling": 1.2593766921453005, "fos_yielding": 4.92901987025767, "deflection": 0.001909328831343403, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002823)" }, "parent_node_id": "node_2344", "improvement_over_parent": null }, "node_2346": { "node_id": "node_2346", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11240891607883, "fos_buckling": 1.5517994117504674, "fos_yielding": 6.318271755924049, "deflection": 0.0014902991301635653, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2345", "improvement_over_parent": null }, "node_2347": { "node_id": "node_2347", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2346", "improvement_over_parent": null }, "node_2348": { "node_id": "node_2348", "content": "INITIAL DESIGN (Trace 339)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 80.36 kg\n Factor of Safety: 0.48\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 80.35515416241073, "fos_buckling": 0.48489077862475066, "fos_yielding": 2.3578534605560835, "deflection": 0.004185837950268102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2349": { "node_id": "node_2349", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 103.35 kg\n Factor of Safety: 0.61\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.35306440496858, "fos_buckling": 0.6099230935964808, "fos_yielding": 3.0252207890245777, "deflection": 0.0032612016303460315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_2348", "improvement_over_parent": null }, "node_2350": { "node_id": "node_2350", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 120.22 kg\n Factor of Safety: 0.70\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.21860132654602, "fos_buckling": 0.6977086538347144, "fos_yielding": 3.512552692747, "deflection": 0.0028079651968963212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2349", "improvement_over_parent": null }, "node_2351": { "node_id": "node_2351", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 133.02 kg\n Factor of Safety: 0.70\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.01663976636596, "fos_buckling": 0.6982292752456126, "fos_yielding": 3.510052574839654, "deflection": 0.00266828842401583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002740)" }, "parent_node_id": "node_2350", "improvement_over_parent": null }, "node_2352": { "node_id": "node_2352", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 160.28 kg\n Factor of Safety: 0.82\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.28244142221163, "fos_buckling": 0.8207511347119268, "fos_yielding": 4.2178394211664685, "deflection": 0.0022191865710290775, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_2351", "improvement_over_parent": null }, "node_2353": { "node_id": "node_2353", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 178.90 kg\n Factor of Safety: 1.39\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.89666747526928, "fos_buckling": 1.3940739361747456, "fos_yielding": 5.552468646634286, "deflection": 0.0016954192775786108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003679)" }, "parent_node_id": "node_2352", "improvement_over_parent": null }, "node_2354": { "node_id": "node_2354", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.29635999424193, "fos_buckling": 1.5529976814007909, "fos_yielding": 6.3242362089452175, "deflection": 0.0014889594020547515, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2353", "improvement_over_parent": null }, "node_2355": { "node_id": "node_2355", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2354", "improvement_over_parent": null }, "node_2356": { "node_id": "node_2356", "content": "INITIAL DESIGN (Trace 340)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 141.33 kg\n Factor of Safety: 0.77\n Max Deflection: 5.39e+10 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.33220219398754, "fos_buckling": 0.7654728489881175, "fos_yielding": 4.308939480962138, "deflection": 53892787591.443535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2357": { "node_id": "node_2357", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 143.09 kg\n Factor of Safety: 0.77\n Max Deflection: 5.39e+10 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.09364908526555, "fos_buckling": 0.7654728489881175, "fos_yielding": 4.308939480962138, "deflection": 53892787591.443535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.233)" }, "parent_node_id": "node_2356", "improvement_over_parent": null }, "node_2358": { "node_id": "node_2358", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n\nPerformance:\n Mass: 146.80 kg\n Factor of Safety: 0.77\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.79816063131284, "fos_buckling": 0.7667655997094946, "fos_yielding": 4.301778414419364, "deflection": 0.0025175423645308914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002218)" }, "parent_node_id": "node_2357", "improvement_over_parent": null }, "node_2359": { "node_id": "node_2359", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 153.82 kg\n Factor of Safety: 0.77\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.8186227944755, "fos_buckling": 0.7673093866063738, "fos_yielding": 4.298425995795429, "deflection": 0.002407085892783965, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002509)" }, "parent_node_id": "node_2358", "improvement_over_parent": null }, "node_2360": { "node_id": "node_2360", "content": "MODIFICATION: Increase 10 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 159.83 kg\n Factor of Safety: 0.77\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.83007847921695, "fos_buckling": 0.7680089669764193, "fos_yielding": 4.294127758621001, "deflection": 0.002296034939329074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.490)" }, "parent_node_id": "node_2359", "improvement_over_parent": null }, "node_2361": { "node_id": "node_2361", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0048)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n\nPerformance:\n Mass: 178.79 kg\n Factor of Safety: 1.09\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.79367781326167, "fos_buckling": 1.0862938264824837, "fos_yielding": 5.503335840152945, "deflection": 0.0018548445256022098, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003754)" }, "parent_node_id": "node_2360", "improvement_over_parent": null }, "node_2362": { "node_id": "node_2362", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0054)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.39 kg\n Factor of Safety: 1.20\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.38829835025322, "fos_buckling": 1.202911338050744, "fos_yielding": 6.174212700489713, "deflection": 0.0016568449688662379, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_2361", "improvement_over_parent": null }, "node_2363": { "node_id": "node_2363", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2362", "improvement_over_parent": null }, "node_2364": { "node_id": "node_2364", "content": "INITIAL DESIGN (Trace 341)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 117.21 kg\n Factor of Safety: 0.79\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.2148934685679, "fos_buckling": 0.7905256718431968, "fos_yielding": 2.81729389212524, "deflection": 0.002640642198872292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2365": { "node_id": "node_2365", "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 118.55 kg\n Factor of Safety: 0.81\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.55096908506887, "fos_buckling": 0.8073615290684716, "fos_yielding": 2.823242469506793, "deflection": 0.002630825982818285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.412)" }, "parent_node_id": "node_2364", "improvement_over_parent": null }, "node_2366": { "node_id": "node_2366", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 131.43 kg\n Factor of Safety: 0.89\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.43291443649963, "fos_buckling": 0.8901506310196384, "fos_yielding": 3.1307580375195325, "deflection": 0.0023757537509987645, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.115)" }, "parent_node_id": "node_2365", "improvement_over_parent": null }, "node_2367": { "node_id": "node_2367", "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 134.41 kg\n Factor of Safety: 1.10\n Max Deflection: 2.32e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.40628103554928, "fos_buckling": 1.1049277170270444, "fos_yielding": 3.207362692406528, "deflection": 0.00232072427058723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.499)" }, "parent_node_id": "node_2366", "improvement_over_parent": null }, "node_2368": { "node_id": "node_2368", "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 135.81 kg\n Factor of Safety: 1.11\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.81115353695932, "fos_buckling": 1.1078727802071975, "fos_yielding": 4.261761787482885, "deflection": 0.002228224935301306, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.379)" }, "parent_node_id": "node_2367", "improvement_over_parent": null }, "node_2369": { "node_id": "node_2369", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 172.55 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.5538361735159, "fos_buckling": 1.3518840529042657, "fos_yielding": 5.393709345452787, "deflection": 0.0017611376646107615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_2368", "improvement_over_parent": null }, "node_2370": { "node_id": "node_2370", "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 173.72 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.71666643620392, "fos_buckling": 1.3605169718836985, "fos_yielding": 5.3906267170511475, "deflection": 0.0017450649112272483, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.431)" }, "parent_node_id": "node_2369", "improvement_over_parent": null }, "node_2371": { "node_id": "node_2371", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23900572162975, "fos_buckling": 1.5526764306121208, "fos_yielding": 6.3179470282248, "deflection": 0.0014894753114702852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2370", "improvement_over_parent": null }, "node_2372": { "node_id": "node_2372", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2371", "improvement_over_parent": null }, "node_2373": { "node_id": "node_2373", "content": "INITIAL DESIGN (Trace 342)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 153.91 kg\n Factor of Safety: 0.96\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.90971048925203, "fos_buckling": 0.9579858404112332, "fos_yielding": 4.991748075446933, "deflection": 0.0019442484093154327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2374": { "node_id": "node_2374", "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 156.51 kg\n Factor of Safety: 1.09\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.5101733270158, "fos_buckling": 1.085258849323086, "fos_yielding": 4.995859156889727, "deflection": 0.00191934345741692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.451)" }, "parent_node_id": "node_2373", "improvement_over_parent": null }, "node_2375": { "node_id": "node_2375", "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 160.48 kg\n Factor of Safety: 1.27\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.4808449866672, "fos_buckling": 1.2728126117519694, "fos_yielding": 4.990047787486825, "deflection": 0.0018860442159791802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.355)" }, "parent_node_id": "node_2374", "improvement_over_parent": null }, "node_2376": { "node_id": "node_2376", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19131913409868, "fos_buckling": 1.5522811648260477, "fos_yielding": 6.320652731209701, "deflection": 0.0014897563683970265, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2375", "improvement_over_parent": null }, "node_2377": { "node_id": "node_2377", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2376", "improvement_over_parent": null }, "node_2378": { "node_id": "node_2378", "content": "INITIAL DESIGN (Trace 343)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 121.17 kg\n Factor of Safety: 0.88\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.17007718024152, "fos_buckling": 0.8848684470285718, "fos_yielding": 3.577295687428099, "deflection": 0.002502404822277727, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2379": { "node_id": "node_2379", "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 121.59 kg\n Factor of Safety: 0.88\n Max Deflection: 2.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.58802174277574, "fos_buckling": 0.8832034268785144, "fos_yielding": 3.5705644389331583, "deflection": 0.0024932393100134797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.178)" }, "parent_node_id": "node_2378", "improvement_over_parent": null }, "node_2380": { "node_id": "node_2380", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 145.00 kg\n Factor of Safety: 1.03\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.0017160185841, "fos_buckling": 1.0342051598068192, "fos_yielding": 4.249482242463324, "deflection": 0.00209611401382672, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_2379", "improvement_over_parent": null }, "node_2381": { "node_id": "node_2381", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 145.90 kg\n Factor of Safety: 1.18\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.9015540554347, "fos_buckling": 1.1804846870488204, "fos_yielding": 4.576068937411587, "deflection": 0.0020590541620989686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.220)" }, "parent_node_id": "node_2380", "improvement_over_parent": null }, "node_2382": { "node_id": "node_2382", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 169.99 kg\n Factor of Safety: 1.34\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.98615679239285, "fos_buckling": 1.343842173050618, "fos_yielding": 5.317843905860235, "deflection": 0.0017723008455905217, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.178)" }, "parent_node_id": "node_2381", "improvement_over_parent": null }, "node_2383": { "node_id": "node_2383", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.66 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.66416234326036, "fos_buckling": 1.5515164259836245, "fos_yielding": 6.318210807225507, "deflection": 0.0014922118210018308, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2382", "improvement_over_parent": null }, "node_2384": { "node_id": "node_2384", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30820889769697, "fos_buckling": 1.5530044433538284, "fos_yielding": 6.32427043203663, "deflection": 0.0014888805395448029, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.290)" }, "parent_node_id": "node_2383", "improvement_over_parent": null }, "node_2385": { "node_id": "node_2385", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2384", "improvement_over_parent": null }, "node_2386": { "node_id": "node_2386", "content": "INITIAL DESIGN (Trace 344)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 129.57 kg\n Factor of Safety: 0.37\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.5703969490543, "fos_buckling": 0.36633357903398484, "fos_yielding": 2.0317518728665966, "deflection": 0.00611061047224549, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2387": { "node_id": "node_2387", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 148.58 kg\n Factor of Safety: 0.41\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.5804818614969, "fos_buckling": 0.41203166304816624, "fos_yielding": 2.326892230272008, "deflection": 0.005345173707530603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2386", "improvement_over_parent": null }, "node_2388": { "node_id": "node_2388", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 154.27 kg\n Factor of Safety: 1.23\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.26526578096656, "fos_buckling": 1.232352779002456, "fos_yielding": 4.29502173937544, "deflection": 0.0019606857550576095, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002540)" }, "parent_node_id": "node_2387", "improvement_over_parent": null }, "node_2389": { "node_id": "node_2389", "content": "MODIFICATION: Increase 11 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0040)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 159.26 kg\n Factor of Safety: 1.23\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.25554972370657, "fos_buckling": 1.2278323115456242, "fos_yielding": 4.385638679480399, "deflection": 0.0019431532156111314, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.456)" }, "parent_node_id": "node_2388", "improvement_over_parent": null }, "node_2390": { "node_id": "node_2390", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.51\n Max Deflection: 1.52e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2469742344269, "fos_buckling": 1.509288797222722, "fos_yielding": 5.612675270964424, "deflection": 0.0015215121818381258, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2389", "improvement_over_parent": null }, "node_2391": { "node_id": "node_2391", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0053)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 205.44 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.4427759565374, "fos_buckling": 1.5113119869824796, "fos_yielding": 6.152989313082795, "deflection": 0.0014926352420509999, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.192)" }, "parent_node_id": "node_2390", "improvement_over_parent": null }, "node_2392": { "node_id": "node_2392", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2391", "improvement_over_parent": null }, "node_2393": { "node_id": "node_2393", "content": "INITIAL DESIGN (Trace 345)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 156.49 kg\n Factor of Safety: 0.25\n Max Deflection: 4.71e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.48505368957024, "fos_buckling": 0.2518325532266075, "fos_yielding": 2.069769911634613, "deflection": 4709812289673.147, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2394": { "node_id": "node_2394", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.17 kg\n Factor of Safety: 0.88\n Max Deflection: 8.61e+11 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.1739904099972, "fos_buckling": 0.8825978210901548, "fos_yielding": 5.919389699585457, "deflection": 861494561587.5647, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2393", "improvement_over_parent": null }, "node_2395": { "node_id": "node_2395", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 184.47 kg\n Factor of Safety: 1.03\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.46951646320016, "fos_buckling": 1.0312636671098945, "fos_yielding": 5.2917685763039515, "deflection": 0.0016311521275418715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2394", "improvement_over_parent": null }, "node_2396": { "node_id": "node_2396", "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0041)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 187.54 kg\n Factor of Safety: 1.03\n Max Deflection: 1.61e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.53515695724576, "fos_buckling": 1.031975591691124, "fos_yielding": 5.289973916628519, "deflection": 0.001609204220416986, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.449)" }, "parent_node_id": "node_2395", "improvement_over_parent": null }, "node_2397": { "node_id": "node_2397", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0041)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 203.13 kg\n Factor of Safety: 1.39\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.12997702763957, "fos_buckling": 1.393346838047274, "fos_yielding": 6.19070746630655, "deflection": 0.001514737322008012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2396", "improvement_over_parent": null }, "node_2398": { "node_id": "node_2398", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2397", "improvement_over_parent": null }, "node_2399": { "node_id": "node_2399", "content": "INITIAL DESIGN (Trace 346)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 118.15 kg\n Factor of Safety: 0.93\n Max Deflection: 2.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.14803765527682, "fos_buckling": 0.9271703476889359, "fos_yielding": 3.566925166359819, "deflection": 0.002440382397644688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2400": { "node_id": "node_2400", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 137.13 kg\n Factor of Safety: 1.05\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.1266649101348, "fos_buckling": 1.0537733045838968, "fos_yielding": 4.130278675491444, "deflection": 0.0021076661783828625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.172)" }, "parent_node_id": "node_2399", "improvement_over_parent": null }, "node_2401": { "node_id": "node_2401", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 149.88 kg\n Factor of Safety: 1.03\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.87597478704015, "fos_buckling": 1.0335813441930488, "fos_yielding": 4.938163985305882, "deflection": 0.001960582979934029, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002857)" }, "parent_node_id": "node_2400", "improvement_over_parent": null }, "node_2402": { "node_id": "node_2402", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 172.41 kg\n Factor of Safety: 1.16\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.405797835656, "fos_buckling": 1.1597700418178856, "fos_yielding": 5.665515734836695, "deflection": 0.0017090389081244064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2401", "improvement_over_parent": null }, "node_2403": { "node_id": "node_2403", "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0046)]\n\nPerformance:\n Mass: 177.32 kg\n Factor of Safety: 1.15\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.32074777010308, "fos_buckling": 1.1546015351879197, "fos_yielding": 5.754266502295985, "deflection": 0.001699260563667337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.377)" }, "parent_node_id": "node_2402", "improvement_over_parent": null }, "node_2404": { "node_id": "node_2404", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0046)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 184.42 kg\n Factor of Safety: 1.21\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.4158347784458, "fos_buckling": 1.2136067626430824, "fos_yielding": 5.716404628996773, "deflection": 0.0016669383600503563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002538)" }, "parent_node_id": "node_2403", "improvement_over_parent": null }, "node_2405": { "node_id": "node_2405", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0051)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.50 kg\n Factor of Safety: 1.33\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.50495685563214, "fos_buckling": 1.3256052082781729, "fos_yielding": 6.32632652720885, "deflection": 0.001506253327527831, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2404", "improvement_over_parent": null }, "node_2406": { "node_id": "node_2406", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2405", "improvement_over_parent": null }, "node_2407": { "node_id": "node_2407", "content": "INITIAL DESIGN (Trace 347)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 144.72 kg\n Factor of Safety: 0.73\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.7165913931284, "fos_buckling": 0.7303612458754479, "fos_yielding": 4.035245402021254, "deflection": 0.0025481135528997428, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2408": { "node_id": "node_2408", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 162.50 kg\n Factor of Safety: 1.05\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.5015286268394, "fos_buckling": 1.0471501389916056, "fos_yielding": 5.282729936686841, "deflection": 0.0019737017138590327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003502)" }, "parent_node_id": "node_2407", "improvement_over_parent": null }, "node_2409": { "node_id": "node_2409", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 194.29 kg\n Factor of Safety: 1.23\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.2901248915413, "fos_buckling": 1.22744473264735, "fos_yielding": 6.318048312221988, "deflection": 0.0016549998650289676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_2408", "improvement_over_parent": null }, "node_2410": { "node_id": "node_2410", "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18955790603619, "fos_buckling": 1.5525561458377248, "fos_yielding": 6.319868324801126, "deflection": 0.0014897077463469994, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.453)" }, "parent_node_id": "node_2409", "improvement_over_parent": null }, "node_2411": { "node_id": "node_2411", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2410", "improvement_over_parent": null }, "node_2412": { "node_id": "node_2412", "content": "INITIAL DESIGN (Trace 348)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 140.92 kg\n Factor of Safety: 0.81\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.9161701667718, "fos_buckling": 0.8109660202781289, "fos_yielding": 4.53457299933053, "deflection": 0.0021805240234121642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2413": { "node_id": "node_2413", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 142.46 kg\n Factor of Safety: 0.81\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.4583597376196, "fos_buckling": 0.8104182715551032, "fos_yielding": 4.533797073556423, "deflection": 0.002152323561416583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.318)" }, "parent_node_id": "node_2412", "improvement_over_parent": null }, "node_2414": { "node_id": "node_2414", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 165.21 kg\n Factor of Safety: 0.91\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.21046298658823, "fos_buckling": 0.912600741512416, "fos_yielding": 5.242701965078281, "deflection": 0.0018614273584702825, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.175)" }, "parent_node_id": "node_2413", "improvement_over_parent": null }, "node_2415": { "node_id": "node_2415", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 181.46 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.4558092275853, "fos_buckling": 0.9109878072830839, "fos_yielding": 6.1912435203107385, "deflection": 0.001749774599685172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2414", "improvement_over_parent": null }, "node_2416": { "node_id": "node_2416", "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 188.46 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.4603733530007, "fos_buckling": 0.9089098813444835, "fos_yielding": 6.177121546997599, "deflection": 0.0017313840185968756, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.377)" }, "parent_node_id": "node_2415", "improvement_over_parent": null }, "node_2417": { "node_id": "node_2417", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 206.07 kg\n Factor of Safety: 1.35\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.0689791229895, "fos_buckling": 1.3457274745169396, "fos_yielding": 6.127808055619119, "deflection": 0.0014805539275039082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2416", "improvement_over_parent": null }, "node_2418": { "node_id": "node_2418", "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 207.10 kg\n Factor of Safety: 1.54\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 207.09783289798213, "fos_buckling": 1.541772438794305, "fos_yielding": 6.118756686977795, "deflection": 0.0014746999789804819, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.403)" }, "parent_node_id": "node_2417", "improvement_over_parent": null }, "node_2419": { "node_id": "node_2419", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2418", "improvement_over_parent": null }, "node_2420": { "node_id": "node_2420", "content": "INITIAL DESIGN (Trace 349)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 151.45 kg\n Factor of Safety: 1.15\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.453426716755, "fos_buckling": 1.146981638993824, "fos_yielding": 4.910144432831615, "deflection": 0.001963206998586553, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2421": { "node_id": "node_2421", "content": "MODIFICATION: Increase 14 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 154.64 kg\n Factor of Safety: 1.22\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.64253687211388, "fos_buckling": 1.2218056851223513, "fos_yielding": 4.916075837809721, "deflection": 0.0019298176711715416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.486)" }, "parent_node_id": "node_2420", "improvement_over_parent": null }, "node_2422": { "node_id": "node_2422", "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.43 kg\n Factor of Safety: 1.24\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.4298618698081, "fos_buckling": 1.2364737508522228, "fos_yielding": 4.920049268905416, "deflection": 0.0019055918607545773, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.403)" }, "parent_node_id": "node_2421", "improvement_over_parent": null }, "node_2423": { "node_id": "node_2423", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 181.35 kg\n Factor of Safety: 1.39\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.35383605111525, "fos_buckling": 1.3946494882817069, "fos_yielding": 5.619111945806749, "deflection": 0.0016690372064126014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2422", "improvement_over_parent": null }, "node_2424": { "node_id": "node_2424", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.35 kg\n Factor of Safety: 1.53\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.34892287763316, "fos_buckling": 1.5282193963557373, "fos_yielding": 6.226260619873582, "deflection": 0.0015066896149676116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2423", "improvement_over_parent": null }, "node_2425": { "node_id": "node_2425", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.13 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.12504185909106, "fos_buckling": 1.5085207483490304, "fos_yielding": 6.263006650226466, "deflection": 0.0015032086800159585, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.279)" }, "parent_node_id": "node_2424", "improvement_over_parent": null }, "node_2426": { "node_id": "node_2426", "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13343155691828, "fos_buckling": 1.5518567154333165, "fos_yielding": 6.318510483989086, "deflection": 0.0014902241885974572, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.186)" }, "parent_node_id": "node_2425", "improvement_over_parent": null }, "node_2427": { "node_id": "node_2427", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2426", "improvement_over_parent": null }, "node_2428": { "node_id": "node_2428", "content": "INITIAL DESIGN (Trace 350)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 118.91 kg\n Factor of Safety: 0.85\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.90542427496385, "fos_buckling": 0.8470762205710342, "fos_yielding": 3.2228917685018463, "deflection": 0.002670672127496893, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2429": { "node_id": "node_2429", "content": "MODIFICATION: Increase 12 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 122.37 kg\n Factor of Safety: 0.85\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.36633175336922, "fos_buckling": 0.8465869586902663, "fos_yielding": 3.221030261768602, "deflection": 0.0026244699972911415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.383)" }, "parent_node_id": "node_2428", "improvement_over_parent": null }, "node_2430": { "node_id": "node_2430", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 154.93 kg\n Factor of Safety: 1.04\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.92847544134858, "fos_buckling": 1.0388420754961452, "fos_yielding": 4.063802534030551, "deflection": 0.002080760631115023, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_2429", "improvement_over_parent": null }, "node_2431": { "node_id": "node_2431", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n\nPerformance:\n Mass: 157.89 kg\n Factor of Safety: 1.26\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.8930556358038, "fos_buckling": 1.2553613317403505, "fos_yielding": 4.910795087515047, "deflection": 0.0019164146473548778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001827)" }, "parent_node_id": "node_2430", "improvement_over_parent": null }, "node_2432": { "node_id": "node_2432", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 177.58 kg\n Factor of Safety: 1.39\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.58058398648916, "fos_buckling": 1.3854867059944773, "fos_yielding": 5.511903789990328, "deflection": 0.0017078093303993962, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2431", "improvement_over_parent": null }, "node_2433": { "node_id": "node_2433", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09090189171445, "fos_buckling": 1.5516519930663113, "fos_yielding": 6.317483426915654, "deflection": 0.0014904949133007122, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2432", "improvement_over_parent": null }, "node_2434": { "node_id": "node_2434", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2433", "improvement_over_parent": null }, "node_2435": { "node_id": "node_2435", "content": "INITIAL DESIGN (Trace 351)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 133.97 kg\n Factor of Safety: 0.91\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.96638006694744, "fos_buckling": 0.9121692605575276, "fos_yielding": 4.261120732002069, "deflection": 0.00223134229314446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2436": { "node_id": "node_2436", "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 134.91 kg\n Factor of Safety: 0.93\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.9072161422234, "fos_buckling": 0.9303240740000011, "fos_yielding": 4.265145199103964, "deflection": 0.0022262218418411784, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.230)" }, "parent_node_id": "node_2435", "improvement_over_parent": null }, "node_2437": { "node_id": "node_2437", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 155.20 kg\n Factor of Safety: 1.05\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.20029183472113, "fos_buckling": 1.0532992986381988, "fos_yielding": 4.895765063421778, "deflection": 0.0019398078411603018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_2436", "improvement_over_parent": null }, "node_2438": { "node_id": "node_2438", "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 157.51 kg\n Factor of Safety: 1.25\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.51464091638755, "fos_buckling": 1.2528058198764205, "fos_yielding": 4.899242542271416, "deflection": 0.001920923576734305, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.393)" }, "parent_node_id": "node_2437", "improvement_over_parent": null }, "node_2439": { "node_id": "node_2439", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1549392575668, "fos_buckling": 1.552041656960346, "fos_yielding": 6.319456703999329, "deflection": 0.0014900293273678472, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2438", "improvement_over_parent": null }, "node_2440": { "node_id": "node_2440", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2439", "improvement_over_parent": null }, "node_2441": { "node_id": "node_2441", "content": "INITIAL DESIGN (Trace 352)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 160.80 kg\n Factor of Safety: 0.93\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.80258598915967, "fos_buckling": 0.9256751330414315, "fos_yielding": 3.6943179456635593, "deflection": 0.0021460346047575602, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2442": { "node_id": "node_2442", "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 162.19 kg\n Factor of Safety: 0.94\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.1866632186527, "fos_buckling": 0.9414942134562643, "fos_yielding": 4.574551195190025, "deflection": 0.002072048006387219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.269)" }, "parent_node_id": "node_2441", "improvement_over_parent": null }, "node_2443": { "node_id": "node_2443", "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 164.89 kg\n Factor of Safety: 0.94\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.89197803002003, "fos_buckling": 0.9365546002942507, "fos_yielding": 4.5861765374299965, "deflection": 0.0020475501013317763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.416)" }, "parent_node_id": "node_2442", "improvement_over_parent": null }, "node_2444": { "node_id": "node_2444", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.92 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.91934172668138, "fos_buckling": 1.0497609905703353, "fos_yielding": 5.2448741369637935, "deflection": 0.0017908199754394715, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2443", "improvement_over_parent": null }, "node_2445": { "node_id": "node_2445", "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.20 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.1955009429253, "fos_buckling": 1.049636715829398, "fos_yielding": 5.2440630715582355, "deflection": 0.001791073157051676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.548)" }, "parent_node_id": "node_2444", "improvement_over_parent": null }, "node_2446": { "node_id": "node_2446", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.06585881388315, "fos_buckling": 1.5515092350782806, "fos_yielding": 6.318685744207996, "deflection": 0.0014906117053531734, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2445", "improvement_over_parent": null }, "node_2447": { "node_id": "node_2447", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2446", "improvement_over_parent": null }, "node_2448": { "node_id": "node_2448", "content": "INITIAL DESIGN (Trace 353)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 175.14 kg\n Factor of Safety: 0.74\n Max Deflection: 7.24e+11 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.13579127777257, "fos_buckling": 0.7357745344974381, "fos_yielding": 2.7876009597637537, "deflection": 723706914582.7806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2449": { "node_id": "node_2449", "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 177.45 kg\n Factor of Safety: 0.98\n Max Deflection: 1.11e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.44870431740833, "fos_buckling": 0.9810327126632509, "fos_yielding": 5.691142881303378, "deflection": 1114103607772.335, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.443)" }, "parent_node_id": "node_2448", "improvement_over_parent": null }, "node_2450": { "node_id": "node_2450", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 184.74 kg\n Factor of Safety: 1.03\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.7442303706113, "fos_buckling": 1.031160403077424, "fos_yielding": 5.242910846935135, "deflection": 0.0018062762736301202, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2449", "improvement_over_parent": null }, "node_2451": { "node_id": "node_2451", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 200.34 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.3390504410051, "fos_buckling": 1.28430250353627, "fos_yielding": 5.229380060764156, "deflection": 0.0016176193949333439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2450", "improvement_over_parent": null }, "node_2452": { "node_id": "node_2452", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16992112483854, "fos_buckling": 1.5521377716062015, "fos_yielding": 6.319942764299958, "deflection": 0.0014899292870724414, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2451", "improvement_over_parent": null }, "node_2453": { "node_id": "node_2453", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2452", "improvement_over_parent": null }, "node_2454": { "node_id": "node_2454", "content": "INITIAL DESIGN (Trace 354)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 171.60 kg\n Factor of Safety: 0.46\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.59742097002393, "fos_buckling": 0.46490294049552683, "fos_yielding": 2.188162054771735, "deflection": 0.004815749365198456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2455": { "node_id": "node_2455", "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 173.82 kg\n Factor of Safety: 0.46\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.8193965073882, "fos_buckling": 0.46473149857300045, "fos_yielding": 3.1568949923539353, "deflection": 0.004531415139348676, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.481)" }, "parent_node_id": "node_2454", "improvement_over_parent": null }, "node_2456": { "node_id": "node_2456", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.14 kg\n Factor of Safety: 0.51\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.142730522478, "fos_buckling": 0.5061344940560671, "fos_yielding": 3.4980886826901676, "deflection": 0.0040916647567017924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2455", "improvement_over_parent": null }, "node_2457": { "node_id": "node_2457", "content": "MODIFICATION: Increase 5 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.85 kg\n Factor of Safety: 0.51\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.84530861888456, "fos_buckling": 0.5061344940560668, "fos_yielding": 3.498088682690168, "deflection": 0.004055184014649933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.613)" }, "parent_node_id": "node_2456", "improvement_over_parent": null }, "node_2458": { "node_id": "node_2458", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14083467208752, "fos_buckling": 1.5519781091897098, "fos_yielding": 6.319148887168668, "deflection": 0.001490171179027553, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2457", "improvement_over_parent": null }, "node_2459": { "node_id": "node_2459", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2458", "improvement_over_parent": null }, "node_2460": { "node_id": "node_2460", "content": "INITIAL DESIGN (Trace 355)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 125.41 kg\n Factor of Safety: 1.03\n Max Deflection: 2.40e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.40640399178393, "fos_buckling": 1.0280189934043757, "fos_yielding": 3.91360196469048, "deflection": 0.0024038113885172067, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2461": { "node_id": "node_2461", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 149.62 kg\n Factor of Safety: 1.20\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.62257053612464, "fos_buckling": 1.1989930976118495, "fos_yielding": 4.657629228840228, "deflection": 0.002020391627101167, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2460", "improvement_over_parent": null }, "node_2462": { "node_id": "node_2462", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 173.17 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.17487422365897, "fos_buckling": 1.3568821630316137, "fos_yielding": 5.377693140595491, "deflection": 0.0017503458910876149, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2461", "improvement_over_parent": null }, "node_2463": { "node_id": "node_2463", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.38859042884906, "fos_buckling": 1.5534750444825014, "fos_yielding": 6.32661406307677, "deflection": 0.0014883527798476488, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2462", "improvement_over_parent": null }, "node_2464": { "node_id": "node_2464", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2463", "improvement_over_parent": null }, "node_2465": { "node_id": "node_2465", "content": "INITIAL DESIGN (Trace 356)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 121.16 kg\n Factor of Safety: 0.37\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.15543296397634, "fos_buckling": 0.37192221518800544, "fos_yielding": 2.4426102958623384, "deflection": 0.0060665700052620125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2466": { "node_id": "node_2466", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 151.53 kg\n Factor of Safety: 0.45\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.53020576831216, "fos_buckling": 0.44983935514485074, "fos_yielding": 3.041864664168092, "deflection": 0.004877028663270924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_2465", "improvement_over_parent": null }, "node_2467": { "node_id": "node_2467", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 169.07 kg\n Factor of Safety: 0.45\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.06769884196484, "fos_buckling": 0.4494025440755113, "fos_yielding": 3.0359873467975853, "deflection": 0.004690814337047371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003541)" }, "parent_node_id": "node_2466", "improvement_over_parent": null }, "node_2468": { "node_id": "node_2468", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.86 kg\n Factor of Safety: 0.51\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.85643547494317, "fos_buckling": 0.5066019090174233, "fos_yielding": 3.504089445688743, "deflection": 0.004067381003850578, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2467", "improvement_over_parent": null }, "node_2469": { "node_id": "node_2469", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 197.03 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.03418741854856, "fos_buckling": 0.5065360321605589, "fos_yielding": 3.50363647483815, "deflection": 0.004050933659956563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.486)" }, "parent_node_id": "node_2468", "improvement_over_parent": null }, "node_2470": { "node_id": "node_2470", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.32971347175152, "fos_buckling": 1.5532551430405177, "fos_yielding": 6.325481824214235, "deflection": 0.001488795230877579, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2469", "improvement_over_parent": null }, "node_2471": { "node_id": "node_2471", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2470", "improvement_over_parent": null }, "node_2472": { "node_id": "node_2472", "content": "INITIAL DESIGN (Trace 357)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 102.15 kg\n Factor of Safety: 0.57\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.1518701112066, "fos_buckling": 0.5736252374909417, "fos_yielding": 3.0433912608390012, "deflection": 0.0031557077098525936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2473": { "node_id": "node_2473", "content": "MODIFICATION: Increase 8 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 104.42 kg\n Factor of Safety: 0.57\n Max Deflection: 3.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.42129833416124, "fos_buckling": 0.5736252374909417, "fos_yielding": 3.0433912608390012, "deflection": 0.0031557077098525936, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.572)" }, "parent_node_id": "node_2472", "improvement_over_parent": null }, "node_2474": { "node_id": "node_2474", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 136.49 kg\n Factor of Safety: 0.72\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.48790118884455, "fos_buckling": 0.7227777280238687, "fos_yielding": 3.9629051762052434, "deflection": 0.0024242977137326153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2473", "improvement_over_parent": null }, "node_2475": { "node_id": "node_2475", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n\nPerformance:\n Mass: 149.75 kg\n Factor of Safety: 1.02\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.7531541921283, "fos_buckling": 1.0158262289730433, "fos_yielding": 3.9599898017305577, "deflection": 0.002135275012456661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002847)" }, "parent_node_id": "node_2474", "improvement_over_parent": null }, "node_2476": { "node_id": "node_2476", "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n\nPerformance:\n Mass: 150.90 kg\n Factor of Safety: 1.02\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.90050215470407, "fos_buckling": 1.0158262289730435, "fos_yielding": 3.9599898017305564, "deflection": 0.002135275012456661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.185)" }, "parent_node_id": "node_2475", "improvement_over_parent": null }, "node_2477": { "node_id": "node_2477", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n Mass: 172.11 kg\n Factor of Safety: 1.13\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.11199578680433, "fos_buckling": 1.1348342610127031, "fos_yielding": 4.506290598346984, "deflection": 0.0018767450072484449, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2476", "improvement_over_parent": null }, "node_2478": { "node_id": "node_2478", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.47 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.46900321521306, "fos_buckling": 1.2849732020605926, "fos_yielding": 5.232728635641762, "deflection": 0.0016165831850033278, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2477", "improvement_over_parent": null }, "node_2479": { "node_id": "node_2479", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2998738990465, "fos_buckling": 1.5529330906392778, "fos_yielding": 6.323927564864994, "deflection": 0.0014889784843551358, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2478", "improvement_over_parent": null }, "node_2480": { "node_id": "node_2480", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2479", "improvement_over_parent": null }, "node_2481": { "node_id": "node_2481", "content": "INITIAL DESIGN (Trace 358)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 102.67 kg\n Factor of Safety: 0.77\n Max Deflection: 2.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.66648044211105, "fos_buckling": 0.7671200925759247, "fos_yielding": 2.8873199290563565, "deflection": 0.0029279162173245043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2482": { "node_id": "node_2482", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 132.50 kg\n Factor of Safety: 0.96\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.49563747743323, "fos_buckling": 0.9606972068742229, "fos_yielding": 3.714187309397997, "deflection": 0.0022767862324293976, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_2481", "improvement_over_parent": null }, "node_2483": { "node_id": "node_2483", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 168.52 kg\n Factor of Safety: 1.18\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.51542102083596, "fos_buckling": 1.1771809680647594, "fos_yielding": 4.705572891702131, "deflection": 0.0017977627124392383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_2482", "improvement_over_parent": null }, "node_2484": { "node_id": "node_2484", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n\nPerformance:\n Mass: 183.07 kg\n Factor of Safety: 1.42\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.07315457818038, "fos_buckling": 1.4207851895956145, "fos_yielding": 5.679337718213271, "deflection": 0.0016575275201735182, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003297)" }, "parent_node_id": "node_2483", "improvement_over_parent": null }, "node_2485": { "node_id": "node_2485", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23046123246894, "fos_buckling": 1.552517802322708, "fos_yielding": 6.321897164862879, "deflection": 0.0014894217213952963, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_2484", "improvement_over_parent": null }, "node_2486": { "node_id": "node_2486", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2485", "improvement_over_parent": null }, "node_2487": { "node_id": "node_2487", "content": "INITIAL DESIGN (Trace 359)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 120.78 kg\n Factor of Safety: 0.31\n Max Deflection: 9.73e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.78283133286948, "fos_buckling": 0.31251273581326, "fos_yielding": 0.77616371686298, "deflection": 9729802505119.53, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2488": { "node_id": "node_2488", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 139.16 kg\n Factor of Safety: 0.00\n Max Deflection: 5.70e+14 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.1615485039285, "fos_buckling": 0.0030075763434684235, "fos_yielding": 0.030423415887271824, "deflection": 570162347585784.9, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.166)" }, "parent_node_id": "node_2487", "improvement_over_parent": null }, "node_2489": { "node_id": "node_2489", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 154.76 kg\n Factor of Safety: 0.04\n Max Deflection: 2.07e+13 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.7563685743223, "fos_buckling": 0.042458170897276166, "fos_yielding": 0.49954096684127247, "deflection": 20729881385528.785, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2488", "improvement_over_parent": null }, "node_2490": { "node_id": "node_2490", "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 0.53\n Max Deflection: 1.87e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.96186895901295, "fos_buckling": 0.5283683489438812, "fos_yielding": 6.216509809580279, "deflection": 1872620892756.3022, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.420)" }, "parent_node_id": "node_2489", "improvement_over_parent": null }, "node_2491": { "node_id": "node_2491", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 164.83 kg\n Factor of Safety: 0.37\n Max Deflection: 4.82e+12 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.82774514742644, "fos_buckling": 0.36990276864972105, "fos_yielding": 3.1046548674519197, "deflection": 4823301085825.2705, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2490", "improvement_over_parent": null }, "node_2492": { "node_id": "node_2492", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 186.08 kg\n Factor of Safety: 0.51\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.07613665434306, "fos_buckling": 0.5067754780888882, "fos_yielding": 3.5070000696843793, "deflection": 0.004095471080104193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2491", "improvement_over_parent": null }, "node_2493": { "node_id": "node_2493", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 193.37 kg\n Factor of Safety: 1.19\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.37166270754602, "fos_buckling": 1.1931867979259405, "fos_yielding": 6.111420964074775, "deflection": 0.0016772310692382297, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2492", "improvement_over_parent": null }, "node_2494": { "node_id": "node_2494", "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0059)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.27 kg\n Factor of Safety: 1.19\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.26618034479125, "fos_buckling": 1.1937808485821813, "fos_yielding": 6.114463650802941, "deflection": 0.0016592475175375304, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.520)" }, "parent_node_id": "node_2493", "improvement_over_parent": null }, "node_2495": { "node_id": "node_2495", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2494", "improvement_over_parent": null }, "node_2496": { "node_id": "node_2496", "content": "INITIAL DESIGN (Trace 360)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0012)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 94.35 kg\n Factor of Safety: 0.53\n Max Deflection: 3.95e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 94.35273541898373, "fos_buckling": 0.525560364919681, "fos_yielding": 2.3397044130084663, "deflection": 0.003949212758825541, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2497": { "node_id": "node_2497", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 119.92 kg\n Factor of Safety: 0.65\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.92339546762477, "fos_buckling": 0.652524244666856, "fos_yielding": 2.9848906226875744, "deflection": 0.003110616436697811, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.287)" }, "parent_node_id": "node_2496", "improvement_over_parent": null }, "node_2498": { "node_id": "node_2498", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 151.08 kg\n Factor of Safety: 0.80\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.0773938674786, "fos_buckling": 0.7982611695476658, "fos_yielding": 3.7784813055543687, "deflection": 0.0024724200350594414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.280)" }, "parent_node_id": "node_2497", "improvement_over_parent": null }, "node_2499": { "node_id": "node_2499", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 169.13 kg\n Factor of Safety: 1.30\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.12542927507238, "fos_buckling": 1.299194381799966, "fos_yielding": 5.299460049583869, "deflection": 0.0017672943491950333, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003558)" }, "parent_node_id": "node_2498", "improvement_over_parent": null }, "node_2500": { "node_id": "node_2500", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 199.21 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.2067860929559, "fos_buckling": 1.490999037649556, "fos_yielding": 6.2212207638562065, "deflection": 0.0015057306742289384, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_2499", "improvement_over_parent": null }, "node_2501": { "node_id": "node_2501", "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1312409779376, "fos_buckling": 1.5517955909595118, "fos_yielding": 6.3182342358565835, "deflection": 0.001490252932945791, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.506)" }, "parent_node_id": "node_2500", "improvement_over_parent": null }, "node_2502": { "node_id": "node_2502", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2501", "improvement_over_parent": null }, "node_2503": { "node_id": "node_2503", "content": "INITIAL DESIGN (Trace 361)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 149.73 kg\n Factor of Safety: 0.77\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.72968646067267, "fos_buckling": 0.7703793850918825, "fos_yielding": 5.065039172002951, "deflection": 0.0021379035453874718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2504": { "node_id": "node_2504", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.27 kg\n Factor of Safety: 0.91\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.2682267898686, "fos_buckling": 0.91079045892141, "fos_yielding": 6.190389044670057, "deflection": 0.0017444157265255353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_2503", "improvement_over_parent": null }, "node_2505": { "node_id": "node_2505", "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 185.91 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 185.91207953141222, "fos_buckling": 0.9101397474630905, "fos_yielding": 6.185966340146356, "deflection": 0.0017223267534788025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.290)" }, "parent_node_id": "node_2504", "improvement_over_parent": null }, "node_2506": { "node_id": "node_2506", "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.54 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.538109859798, "fos_buckling": 0.9100159472328971, "fos_yielding": 6.185124904466815, "deflection": 0.001722403708150066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.195)" }, "parent_node_id": "node_2505", "improvement_over_parent": null }, "node_2507": { "node_id": "node_2507", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1467156297868, "fos_buckling": 1.5519612695219074, "fos_yielding": 6.319054686957926, "deflection": 0.0014901028210934969, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2506", "improvement_over_parent": null }, "node_2508": { "node_id": "node_2508", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2507", "improvement_over_parent": null }, "node_2509": { "node_id": "node_2509", "content": "INITIAL DESIGN (Trace 362)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 131.42 kg\n Factor of Safety: 0.99\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.41798811334323, "fos_buckling": 0.9933360976093047, "fos_yielding": 2.969342983836119, "deflection": 0.0023626432152876473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2510": { "node_id": "node_2510", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 171.82 kg\n Factor of Safety: 1.25\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.82225862303466, "fos_buckling": 1.2543068635772106, "fos_yielding": 3.8929523910571247, "deflection": 0.0018135727286443628, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.333)" }, "parent_node_id": "node_2509", "improvement_over_parent": null }, "node_2511": { "node_id": "node_2511", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 178.81 kg\n Factor of Safety: 1.39\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.8143758308879, "fos_buckling": 1.3903055756109903, "fos_yielding": 3.6608884184723203, "deflection": 0.0017871467951682569, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002498)" }, "parent_node_id": "node_2510", "improvement_over_parent": null }, "node_2512": { "node_id": "node_2512", "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 181.52 kg\n Factor of Safety: 1.41\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.51604489522097, "fos_buckling": 1.4108412789861189, "fos_yielding": 5.631948694431066, "deflection": 0.0016715265283689417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.658)" }, "parent_node_id": "node_2511", "improvement_over_parent": null }, "node_2513": { "node_id": "node_2513", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.31102746190308, "fos_buckling": 1.553021278522072, "fos_yielding": 6.324352017983698, "deflection": 0.001488917343272973, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.138)" }, "parent_node_id": "node_2512", "improvement_over_parent": null }, "node_2514": { "node_id": "node_2514", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2513", "improvement_over_parent": null }, "node_2515": { "node_id": "node_2515", "content": "INITIAL DESIGN (Trace 363)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 166.35 kg\n Factor of Safety: 0.30\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.35080688195808, "fos_buckling": 0.30073355992702944, "fos_yielding": 2.523824530131403, "deflection": 0.00449591277008127, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2516": { "node_id": "node_2516", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.32 kg\n Factor of Safety: 0.30\n Max Deflection: 4.49e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.3240402591187, "fos_buckling": 0.3007011485904162, "fos_yielding": 2.523552526812523, "deflection": 0.0044875389328173755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.196)" }, "parent_node_id": "node_2515", "improvement_over_parent": null }, "node_2517": { "node_id": "node_2517", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 168.76 kg\n Factor of Safety: 0.30\n Max Deflection: 4.44e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.75745250154426, "fos_buckling": 0.3006295685213216, "fos_yielding": 2.5229518105695696, "deflection": 0.004439044569661143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.238)" }, "parent_node_id": "node_2516", "improvement_over_parent": null }, "node_2518": { "node_id": "node_2518", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 202.62 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.6153434299081, "fos_buckling": 1.5506609884453453, "fos_yielding": 6.314356709913143, "deflection": 0.0014929502684742418, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2517", "improvement_over_parent": null }, "node_2519": { "node_id": "node_2519", "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1725688543909, "fos_buckling": 1.552058323638824, "fos_yielding": 6.320046717542584, "deflection": 0.0014898154812151229, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.271)" }, "parent_node_id": "node_2518", "improvement_over_parent": null }, "node_2520": { "node_id": "node_2520", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2519", "improvement_over_parent": null }, "node_2521": { "node_id": "node_2521", "content": "INITIAL DESIGN (Trace 364)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 117.95 kg\n Factor of Safety: 0.98\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.9502841079368, "fos_buckling": 0.9786577504614002, "fos_yielding": 3.7053184046377075, "deflection": 0.0025414512441228666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2522": { "node_id": "node_2522", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 139.40 kg\n Factor of Safety: 1.13\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.39527391876493, "fos_buckling": 1.1335122602172734, "fos_yielding": 4.36905712251879, "deflection": 0.0021558691423873887, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_2521", "improvement_over_parent": null }, "node_2523": { "node_id": "node_2523", "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 140.33 kg\n Factor of Safety: 1.13\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.32991677668883, "fos_buckling": 1.1344340494617404, "fos_yielding": 4.372610105583328, "deflection": 0.0021518562426155164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.222)" }, "parent_node_id": "node_2522", "improvement_over_parent": null }, "node_2524": { "node_id": "node_2524", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 167.19 kg\n Factor of Safety: 1.32\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.185592418822, "fos_buckling": 1.3175259173240137, "fos_yielding": 5.194974765129042, "deflection": 0.0018117862097228774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2523", "improvement_over_parent": null }, "node_2525": { "node_id": "node_2525", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.03 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03327545940746, "fos_buckling": 1.5513317778898315, "fos_yielding": 6.315917635849847, "deflection": 0.001490869963343171, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2524", "improvement_over_parent": null }, "node_2526": { "node_id": "node_2526", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2525", "improvement_over_parent": null }, "node_2527": { "node_id": "node_2527", "content": "INITIAL DESIGN (Trace 365)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 165.59 kg\n Factor of Safety: 0.78\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.58512765663983, "fos_buckling": 0.783717406088129, "fos_yielding": 5.170364904962211, "deflection": 0.0020698492699781665, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2528": { "node_id": "node_2528", "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 166.56 kg\n Factor of Safety: 0.78\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.56456337133795, "fos_buckling": 0.7836337071966799, "fos_yielding": 5.170337179905812, "deflection": 0.0020628612556755853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.477)" }, "parent_node_id": "node_2527", "improvement_over_parent": null }, "node_2529": { "node_id": "node_2529", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.08 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.08183992071406, "fos_buckling": 0.9076891489015239, "fos_yielding": 6.169820735098216, "deflection": 0.0017242909478904901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2528", "improvement_over_parent": null }, "node_2530": { "node_id": "node_2530", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23321496763592, "fos_buckling": 1.552540820999476, "fos_yielding": 6.321937437458656, "deflection": 0.0014894617774317874, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2529", "improvement_over_parent": null }, "node_2531": { "node_id": "node_2531", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2530", "improvement_over_parent": null }, "node_2532": { "node_id": "node_2532", "content": "INITIAL DESIGN (Trace 366)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 146.09 kg\n Factor of Safety: 0.40\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.0868070038101, "fos_buckling": 0.402407954385759, "fos_yielding": 2.6701697778470326, "deflection": 0.005357037530180539, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2533": { "node_id": "node_2533", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 151.61 kg\n Factor of Safety: 1.02\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.61269655228716, "fos_buckling": 1.0197612916167376, "fos_yielding": 4.698405258944668, "deflection": 0.0019747709007482453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002464)" }, "parent_node_id": "node_2532", "improvement_over_parent": null }, "node_2534": { "node_id": "node_2534", "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n\nPerformance:\n Mass: 153.82 kg\n Factor of Safety: 1.03\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.82121070566987, "fos_buckling": 1.027555711994201, "fos_yielding": 4.689978427080244, "deflection": 0.00196619026908497, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.203)" }, "parent_node_id": "node_2533", "improvement_over_parent": null }, "node_2535": { "node_id": "node_2535", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 181.87 kg\n Factor of Safety: 1.20\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.87184682436614, "fos_buckling": 1.1968488096733774, "fos_yielding": 5.531187925610452, "deflection": 0.0016681945020148511, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2534", "improvement_over_parent": null }, "node_2536": { "node_id": "node_2536", "content": "MODIFICATION: Increase 3 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0039)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n\nPerformance:\n Mass: 183.16 kg\n Factor of Safety: 1.40\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.15805984403013, "fos_buckling": 1.4015907995752153, "fos_yielding": 5.6016755684296395, "deflection": 0.0016595866021795285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.650)" }, "parent_node_id": "node_2535", "improvement_over_parent": null }, "node_2537": { "node_id": "node_2537", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.31 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3107809822648, "fos_buckling": 1.5318025322855802, "fos_yielding": 6.236374050095669, "deflection": 0.0014912925599353687, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.127)" }, "parent_node_id": "node_2536", "improvement_over_parent": null }, "node_2538": { "node_id": "node_2538", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2537", "improvement_over_parent": null }, "node_2539": { "node_id": "node_2539", "content": "INITIAL DESIGN (Trace 367)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 146.34 kg\n Factor of Safety: 0.44\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.33715411602452, "fos_buckling": 0.43564039911733593, "fos_yielding": 2.3946070418031393, "deflection": 0.006876095034531523, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2540": { "node_id": "node_2540", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 152.39 kg\n Factor of Safety: 0.92\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.38931600832905, "fos_buckling": 0.9194628347711807, "fos_yielding": 4.310245289016966, "deflection": 0.0021978785802976445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002717)" }, "parent_node_id": "node_2539", "improvement_over_parent": null }, "node_2541": { "node_id": "node_2541", "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 154.67 kg\n Factor of Safety: 0.92\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.66855058434234, "fos_buckling": 0.9206623808300279, "fos_yielding": 4.30762234010058, "deflection": 0.002198114500107524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.193)" }, "parent_node_id": "node_2540", "improvement_over_parent": null }, "node_2542": { "node_id": "node_2542", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 166.17 kg\n Factor of Safety: 1.20\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.1734516519424, "fos_buckling": 1.1974723069509543, "fos_yielding": 5.187904394924322, "deflection": 0.0018046687710066326, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003078)" }, "parent_node_id": "node_2541", "improvement_over_parent": null }, "node_2543": { "node_id": "node_2543", "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0035)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 176.97 kg\n Factor of Safety: 1.20\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.96687015309493, "fos_buckling": 1.2044417287377027, "fos_yielding": 4.983671702215711, "deflection": 0.0016536277242788437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.429)" }, "parent_node_id": "node_2542", "improvement_over_parent": null }, "node_2544": { "node_id": "node_2544", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0077)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 212.89 kg\n Factor of Safety: 1.41\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.88896506115015, "fos_buckling": 1.406018848256643, "fos_yielding": 5.9885182531881815, "deflection": 0.001380842658760815, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_2543", "improvement_over_parent": null }, "node_2545": { "node_id": "node_2545", "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0077)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 215.62 kg\n Factor of Safety: 1.40\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.62286759648714, "fos_buckling": 1.4034392351034954, "fos_yielding": 6.041441743143047, "deflection": 0.001376761853628678, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.218)" }, "parent_node_id": "node_2544", "improvement_over_parent": null }, "node_2546": { "node_id": "node_2546", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2545", "improvement_over_parent": null }, "node_2547": { "node_id": "node_2547", "content": "INITIAL DESIGN (Trace 368)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0010)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 89.53 kg\n Factor of Safety: 0.43\n Max Deflection: 2.26e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 89.53254007691488, "fos_buckling": 0.4319628952464488, "fos_yielding": 2.172972179691573, "deflection": 22591219297317.01, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2548": { "node_id": "node_2548", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 101.72 kg\n Factor of Safety: 0.48\n Max Deflection: 6.83e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.72185866560694, "fos_buckling": 0.4843476763222658, "fos_yielding": 2.4686879638927874, "deflection": 6832506578503.885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_2547", "improvement_over_parent": null }, "node_2549": { "node_id": "node_2549", "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 102.70 kg\n Factor of Safety: 0.48\n Max Deflection: 6.83e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.7017885104889, "fos_buckling": 0.4843476763222658, "fos_yielding": 2.4686879638927874, "deflection": 6832506578503.885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.486)" }, "parent_node_id": "node_2548", "improvement_over_parent": null }, "node_2550": { "node_id": "node_2550", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 121.78 kg\n Factor of Safety: 1.13\n Max Deflection: 5.88e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.78369939973668, "fos_buckling": 1.1251344920044128, "fos_yielding": 5.854736269177838, "deflection": 5883087999508.897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.199)" }, "parent_node_id": "node_2549", "improvement_over_parent": null }, "node_2551": { "node_id": "node_2551", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 157.85 kg\n Factor of Safety: 10.20\n Max Deflection: 7.80e+12 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 157.8458267115539, "fos_buckling": 10.197277249264472, "fos_yielding": 99.34895575846141, "deflection": 7803094524361.923, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.325)" }, "parent_node_id": "node_2550", "improvement_over_parent": null }, "node_2552": { "node_id": "node_2552", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 161.68 kg\n Factor of Safety: 0.01\n Max Deflection: 3.81e+14 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.67669739538735, "fos_buckling": 0.01082428368934403, "fos_yielding": 0.04851023230393624, "deflection": 381387796425361.5, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2551", "improvement_over_parent": null }, "node_2553": { "node_id": "node_2553", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 168.97 kg\n Factor of Safety: 0.61\n Max Deflection: 3.59e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.9722234485903, "fos_buckling": 0.6140860415500708, "fos_yielding": 3.543289308674329, "deflection": 0.0035910457607678235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2552", "improvement_over_parent": null }, "node_2554": { "node_id": "node_2554", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 190.22 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.22061495550693, "fos_buckling": 1.0499968306661644, "fos_yielding": 5.242805471473006, "deflection": 0.0017909070156510213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2553", "improvement_over_parent": null }, "node_2555": { "node_id": "node_2555", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0909728264648, "fos_buckling": 1.551586547298326, "fos_yielding": 6.317123078332879, "deflection": 0.0014904669449748989, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2554", "improvement_over_parent": null }, "node_2556": { "node_id": "node_2556", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 9, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2555", "improvement_over_parent": null }, "node_2557": { "node_id": "node_2557", "content": "INITIAL DESIGN (Trace 369)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2558": { "node_id": "node_2558", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 188.08 kg\n Factor of Safety: 0.51\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.0801858614097, "fos_buckling": 0.5065381715983001, "fos_yielding": 3.504058919424084, "deflection": 0.004459878057978508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2557", "improvement_over_parent": null }, "node_2559": { "node_id": "node_2559", "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0050)]\n\nPerformance:\n Mass: 193.14 kg\n Factor of Safety: 0.51\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.13688217009314, "fos_buckling": 0.5062553196828562, "fos_yielding": 3.5021132583214993, "deflection": 0.004463550651299112, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.355)" }, "parent_node_id": "node_2558", "improvement_over_parent": null }, "node_2560": { "node_id": "node_2560", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 200.43 kg\n Factor of Safety: 1.28\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.4324082232961, "fos_buckling": 1.2839377464242623, "fos_yielding": 5.227894854931959, "deflection": 0.0016452548249811883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2559", "improvement_over_parent": null }, "node_2561": { "node_id": "node_2561", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0050)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.34\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.26327890712955, "fos_buckling": 1.3366312575073611, "fos_yielding": 6.324149871923687, "deflection": 0.001506403481410894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2560", "improvement_over_parent": null }, "node_2562": { "node_id": "node_2562", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2561", "improvement_over_parent": null }, "node_2563": { "node_id": "node_2563", "content": "INITIAL DESIGN (Trace 370)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 165.32 kg\n Factor of Safety: 0.48\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.32086766146028, "fos_buckling": 0.48348389158905997, "fos_yielding": 3.5256975853375154, "deflection": 0.002251588062000373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2564": { "node_id": "node_2564", "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 166.07 kg\n Factor of Safety: 0.60\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.0653340073992, "fos_buckling": 0.5969550491589501, "fos_yielding": 4.48988405925457, "deflection": 0.002168936251869583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.295)" }, "parent_node_id": "node_2563", "improvement_over_parent": null }, "node_2565": { "node_id": "node_2565", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.38 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.37552123080215, "fos_buckling": 1.2862353297453573, "fos_yielding": 5.237250077999886, "deflection": 0.0016198378036627102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2564", "improvement_over_parent": null }, "node_2566": { "node_id": "node_2566", "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.24 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.23594077310162, "fos_buckling": 1.28611305931246, "fos_yielding": 5.2367522213329, "deflection": 0.0016199915034537675, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.318)" }, "parent_node_id": "node_2565", "improvement_over_parent": null }, "node_2567": { "node_id": "node_2567", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 203.48 kg\n Factor of Safety: 1.42\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.4812870140987, "fos_buckling": 1.4152644964686085, "fos_yielding": 6.318733034613483, "deflection": 0.001494403058086524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2566", "improvement_over_parent": null }, "node_2568": { "node_id": "node_2568", "content": "MODIFICATION: Increase 5 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16588811039742, "fos_buckling": 1.552133859068081, "fos_yielding": 6.319926833357853, "deflection": 0.0014899291725017521, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.217)" }, "parent_node_id": "node_2567", "improvement_over_parent": null }, "node_2569": { "node_id": "node_2569", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2568", "improvement_over_parent": null }, "node_2570": { "node_id": "node_2570", "content": "INITIAL DESIGN (Trace 371)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 159.37 kg\n Factor of Safety: 0.81\n Max Deflection: 2.08e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.3678928174812, "fos_buckling": 0.8135057914969637, "fos_yielding": 3.877394095841724, "deflection": 0.002077331147943311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2571": { "node_id": "node_2571", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 183.62 kg\n Factor of Safety: 0.91\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.62041339612693, "fos_buckling": 0.9110778641591504, "fos_yielding": 4.47553604537402, "deflection": 0.0018073127742789916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2570", "improvement_over_parent": null }, "node_2572": { "node_id": "node_2572", "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.58 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.58234883082068, "fos_buckling": 0.9101983624017644, "fos_yielding": 6.186648884155725, "deflection": 0.0017219793176943947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.639)" }, "parent_node_id": "node_2571", "improvement_over_parent": null }, "node_2573": { "node_id": "node_2573", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1909546008095, "fos_buckling": 1.552275322365836, "fos_yielding": 6.320623710665757, "deflection": 0.0014897492681857233, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2572", "improvement_over_parent": null }, "node_2574": { "node_id": "node_2574", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2573", "improvement_over_parent": null }, "node_2575": { "node_id": "node_2575", "content": "INITIAL DESIGN (Trace 372)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 136.15 kg\n Factor of Safety: 0.24\n Max Deflection: 5.76e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.1541219992951, "fos_buckling": 0.23911045102848946, "fos_yielding": 1.7527002149226543, "deflection": 5763550418047.773, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2576": { "node_id": "node_2576", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 161.59 kg\n Factor of Safety: 0.02\n Max Deflection: 5.20e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.59360932046152, "fos_buckling": 0.0216466220651915, "fos_yielding": 0.2108932851128761, "deflection": 52001532494969.88, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.205)" }, "parent_node_id": "node_2575", "improvement_over_parent": null }, "node_2577": { "node_id": "node_2577", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 168.89 kg\n Factor of Safety: 0.91\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.8891353736645, "fos_buckling": 0.9149746602439511, "fos_yielding": 4.721584340035135, "deflection": 0.002029839168384612, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2576", "improvement_over_parent": null }, "node_2578": { "node_id": "node_2578", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 1.03\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.4977411436533, "fos_buckling": 1.0309519409907661, "fos_yielding": 4.946814144223223, "deflection": 0.0016783396719238293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2577", "improvement_over_parent": null }, "node_2579": { "node_id": "node_2579", "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 188.57 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.57464514318315, "fos_buckling": 1.030711241768416, "fos_yielding": 5.289405640394046, "deflection": 0.0016211496724340769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.387)" }, "parent_node_id": "node_2578", "improvement_over_parent": null }, "node_2580": { "node_id": "node_2580", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16946521357696, "fos_buckling": 1.5521590335632454, "fos_yielding": 6.318164801767261, "deflection": 0.0014899501239396598, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2579", "improvement_over_parent": null }, "node_2581": { "node_id": "node_2581", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2580", "improvement_over_parent": null }, "node_2582": { "node_id": "node_2582", "content": "INITIAL DESIGN (Trace 373)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 129.42 kg\n Factor of Safety: 0.20\n Max Deflection: 3.82e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.41990535071065, "fos_buckling": 0.20404495793159674, "fos_yielding": 1.5161141054831786, "deflection": 3815167856284.087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2583": { "node_id": "node_2583", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n\nPerformance:\n Mass: 141.90 kg\n Factor of Safety: 0.10\n Max Deflection: 2.38e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.8983360412669, "fos_buckling": 0.10268254200705133, "fos_yielding": 0.5514795771453513, "deflection": 23835003433456.895, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003361)" }, "parent_node_id": "node_2582", "improvement_over_parent": null }, "node_2584": { "node_id": "node_2584", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n\nPerformance:\n Mass: 172.36 kg\n Factor of Safety: 1.18\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.35815547533804, "fos_buckling": 1.1797620779146034, "fos_yielding": 4.71862021169417, "deflection": 0.0018270951006550394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004780)" }, "parent_node_id": "node_2583", "improvement_over_parent": null }, "node_2585": { "node_id": "node_2585", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 175.80 kg\n Factor of Safety: 1.19\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.80383684869062, "fos_buckling": 1.1900116754833854, "fos_yielding": 5.639614664579079, "deflection": 0.0016989550408357996, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002149)" }, "parent_node_id": "node_2584", "improvement_over_parent": null }, "node_2586": { "node_id": "node_2586", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 182.88 kg\n Factor of Safety: 1.43\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8809246062122, "fos_buckling": 1.4250330224778944, "fos_yielding": 5.699614988542255, "deflection": 0.0016610366248345635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002531)" }, "parent_node_id": "node_2585", "improvement_over_parent": null }, "node_2587": { "node_id": "node_2587", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 183.68 kg\n Factor of Safety: 1.42\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.6793856118925, "fos_buckling": 1.4245524930345694, "fos_yielding": 5.6976930451385455, "deflection": 0.0016522440642191508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.247)" }, "parent_node_id": "node_2586", "improvement_over_parent": null }, "node_2588": { "node_id": "node_2588", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07215931889485, "fos_buckling": 1.551452144708453, "fos_yielding": 6.316995868413505, "deflection": 0.0014906145549061331, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.122)" }, "parent_node_id": "node_2587", "improvement_over_parent": null }, "node_2589": { "node_id": "node_2589", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2588", "improvement_over_parent": null }, "node_2590": { "node_id": "node_2590", "content": "INITIAL DESIGN (Trace 374)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 136.94 kg\n Factor of Safety: 0.74\n Max Deflection: 2.35e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.9444192809229, "fos_buckling": 0.7415530279513557, "fos_yielding": 4.082564235601673, "deflection": 0.00235343809398914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2591": { "node_id": "node_2591", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 150.61 kg\n Factor of Safety: 0.95\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.60509698121876, "fos_buckling": 0.9509135112556185, "fos_yielding": 4.079471365922715, "deflection": 0.002088396418392738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002938)" }, "parent_node_id": "node_2590", "improvement_over_parent": null }, "node_2592": { "node_id": "node_2592", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n\nPerformance:\n Mass: 153.58 kg\n Factor of Safety: 0.93\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.5772425004394, "fos_buckling": 0.9254976793517942, "fos_yielding": 4.816097887520228, "deflection": 0.0019436867608858006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001832)" }, "parent_node_id": "node_2591", "improvement_over_parent": null }, "node_2593": { "node_id": "node_2593", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n\nPerformance:\n Mass: 178.23 kg\n Factor of Safety: 1.06\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.23097620147308, "fos_buckling": 1.059401213618629, "fos_yielding": 5.574840914331054, "deflection": 0.0016797459410132938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2592", "improvement_over_parent": null }, "node_2594": { "node_id": "node_2594", "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n\nPerformance:\n Mass: 183.25 kg\n Factor of Safety: 1.06\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.25265488125908, "fos_buckling": 1.0572599883632188, "fos_yielding": 5.653425156030866, "deflection": 0.0016700970060601309, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.621)" }, "parent_node_id": "node_2593", "improvement_over_parent": null }, "node_2595": { "node_id": "node_2595", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0053)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 203.37 kg\n Factor of Safety: 1.16\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.3682732307465, "fos_buckling": 1.1610554652384684, "fos_yielding": 6.263766625655891, "deflection": 0.0015076808958734583, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2594", "improvement_over_parent": null }, "node_2596": { "node_id": "node_2596", "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0053)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0044)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 206.35 kg\n Factor of Safety: 1.17\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.34909048633008, "fos_buckling": 1.171928089782, "fos_yielding": 6.250775025995109, "deflection": 0.0015011015800233572, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.215)" }, "parent_node_id": "node_2595", "improvement_over_parent": null }, "node_2597": { "node_id": "node_2597", "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0053)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0052)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 209.33 kg\n Factor of Safety: 1.18\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 209.32548083107238, "fos_buckling": 1.180490171185092, "fos_yielding": 6.240063795358393, "deflection": 0.0014960527482573629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.185)" }, "parent_node_id": "node_2596", "improvement_over_parent": null }, "node_2598": { "node_id": "node_2598", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2597", "improvement_over_parent": null }, "node_2599": { "node_id": "node_2599", "content": "INITIAL DESIGN (Trace 375)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 153.64 kg\n Factor of Safety: 0.35\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.63586850760413, "fos_buckling": 0.35186247470824467, "fos_yielding": 2.496339677731301, "deflection": 0.005909408123085219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2600": { "node_id": "node_2600", "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 157.86 kg\n Factor of Safety: 0.44\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.86302747780928, "fos_buckling": 0.4436093801074072, "fos_yielding": 2.4928572462122305, "deflection": 0.005624414157824992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.330)" }, "parent_node_id": "node_2599", "improvement_over_parent": null }, "node_2601": { "node_id": "node_2601", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n\nPerformance:\n Mass: 164.06 kg\n Factor of Safety: 0.98\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.0573891823762, "fos_buckling": 0.9831119527189475, "fos_yielding": 4.457843012097462, "deflection": 0.0020248617652812028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002786)" }, "parent_node_id": "node_2600", "improvement_over_parent": null }, "node_2602": { "node_id": "node_2602", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 167.31 kg\n Factor of Safety: 1.22\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.31033018686014, "fos_buckling": 1.2150757499119178, "fos_yielding": 5.47342310342439, "deflection": 0.0018364578154168346, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002019)" }, "parent_node_id": "node_2601", "improvement_over_parent": null }, "node_2603": { "node_id": "node_2603", "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n\nPerformance:\n Mass: 177.05 kg\n Factor of Safety: 1.37\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.0505417701665, "fos_buckling": 1.3700463662262545, "fos_yielding": 5.245532948411698, "deflection": 0.0016709469390168527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.435)" }, "parent_node_id": "node_2602", "improvement_over_parent": null }, "node_2604": { "node_id": "node_2604", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0065)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 208.37 kg\n Factor of Safety: 1.56\n Max Deflection: 1.43e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.36911249635577, "fos_buckling": 1.5583001765774636, "fos_yielding": 6.159664403997174, "deflection": 0.0014253719451987551, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_2603", "improvement_over_parent": null }, "node_2605": { "node_id": "node_2605", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0065)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0043)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 210.90 kg\n Factor of Safety: 1.55\n Max Deflection: 1.42e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 210.9018886102326, "fos_buckling": 1.548234731063724, "fos_yielding": 6.148406079986585, "deflection": 0.001419145589795204, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.182)" }, "parent_node_id": "node_2604", "improvement_over_parent": null }, "node_2606": { "node_id": "node_2606", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2605", "improvement_over_parent": null }, "node_2607": { "node_id": "node_2607", "content": "INITIAL DESIGN (Trace 376)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 132.88 kg\n Factor of Safety: 0.76\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.88238972693975, "fos_buckling": 0.7614461983281857, "fos_yielding": 3.877322695746015, "deflection": 0.002543271124872218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2608": { "node_id": "node_2608", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 149.96 kg\n Factor of Safety: 0.76\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.96403282989567, "fos_buckling": 0.7629223376991976, "fos_yielding": 5.008332739240313, "deflection": 0.002132923536634949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003353)" }, "parent_node_id": "node_2607", "improvement_over_parent": null }, "node_2609": { "node_id": "node_2609", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n\nPerformance:\n Mass: 157.22 kg\n Factor of Safety: 1.17\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.22478100551373, "fos_buckling": 1.1697302567295518, "fos_yielding": 5.092285952895007, "deflection": 0.0018977580164563398, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001512)" }, "parent_node_id": "node_2608", "improvement_over_parent": null }, "node_2610": { "node_id": "node_2610", "content": "MODIFICATION: Increase 14 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0054)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n\nPerformance:\n Mass: 166.28 kg\n Factor of Safety: 1.18\n Max Deflection: 1.86e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.2767517481203, "fos_buckling": 1.1844268885922813, "fos_yielding": 5.053271865924343, "deflection": 0.0018559634236038302, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.597)" }, "parent_node_id": "node_2609", "improvement_over_parent": null }, "node_2611": { "node_id": "node_2611", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0068)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n\nPerformance:\n Mass: 206.39 kg\n Factor of Safety: 1.41\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.3908956221375, "fos_buckling": 1.4119870293634642, "fos_yielding": 6.256257946822266, "deflection": 0.0015004619431581894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.267)" }, "parent_node_id": "node_2610", "improvement_over_parent": null }, "node_2612": { "node_id": "node_2612", "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0086)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n\nPerformance:\n Mass: 213.19 kg\n Factor of Safety: 1.42\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 213.19214042281996, "fos_buckling": 1.4170827780996837, "fos_yielding": 6.179991658075989, "deflection": 0.0014890331635258592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.263)" }, "parent_node_id": "node_2611", "improvement_over_parent": null }, "node_2613": { "node_id": "node_2613", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2612", "improvement_over_parent": null }, "node_2614": { "node_id": "node_2614", "content": "INITIAL DESIGN (Trace 377)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 129.68 kg\n Factor of Safety: 0.67\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.67630351279757, "fos_buckling": 0.674911313898105, "fos_yielding": 4.348221134813035, "deflection": 0.0024604821755279506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2615": { "node_id": "node_2615", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 146.96 kg\n Factor of Safety: 0.75\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.95642010889082, "fos_buckling": 0.7501719815819065, "fos_yielding": 4.910849046588277, "deflection": 0.0021757614528163226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.143)" }, "parent_node_id": "node_2614", "improvement_over_parent": null }, "node_2616": { "node_id": "node_2616", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 160.82 kg\n Factor of Safety: 1.28\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.82063483617478, "fos_buckling": 1.2751244545565992, "fos_yielding": 5.000576592576238, "deflection": 0.0018821003978149072, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002985)" }, "parent_node_id": "node_2615", "improvement_over_parent": null }, "node_2617": { "node_id": "node_2617", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3268921552972, "fos_buckling": 1.553137985480028, "fos_yielding": 6.324931969432716, "deflection": 0.0014887660370736266, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2616", "improvement_over_parent": null }, "node_2618": { "node_id": "node_2618", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2617", "improvement_over_parent": null }, "node_2619": { "node_id": "node_2619", "content": "INITIAL DESIGN (Trace 378)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 140.51 kg\n Factor of Safety: 1.03\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.50978680178798, "fos_buckling": 1.0315629872896868, "fos_yielding": 4.362826740493189, "deflection": 0.002146498873867311, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2620": { "node_id": "node_2620", "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 1.14\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.15469416447377, "fos_buckling": 1.1402016515220856, "fos_yielding": 4.3978705569967875, "deflection": 0.0021395005511770284, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.342)" }, "parent_node_id": "node_2619", "improvement_over_parent": null }, "node_2621": { "node_id": "node_2621", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 173.83 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.82950213164023, "fos_buckling": 1.3611477453400225, "fos_yielding": 5.397642161972582, "deflection": 0.0017438800935002396, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.250)" }, "parent_node_id": "node_2620", "improvement_over_parent": null }, "node_2622": { "node_id": "node_2622", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21366788733036, "fos_buckling": 1.5524071558559043, "fos_yielding": 6.3212961075491965, "deflection": 0.001489593464380087, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_2621", "improvement_over_parent": null }, "node_2623": { "node_id": "node_2623", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2622", "improvement_over_parent": null }, "node_2624": { "node_id": "node_2624", "content": "INITIAL DESIGN (Trace 379)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 93.96 kg\n Factor of Safety: 0.62\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 93.96282116750916, "fos_buckling": 0.6237648062086013, "fos_yielding": 3.0533174287129277, "deflection": 0.0033311939312261015, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2625": { "node_id": "node_2625", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 121.22 kg\n Factor of Safety: 0.78\n Max Deflection: 2.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.22397789442165, "fos_buckling": 0.7758311154196582, "fos_yielding": 3.9277589092414735, "deflection": 0.0025887215190201394, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_2624", "improvement_over_parent": null }, "node_2626": { "node_id": "node_2626", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 134.43 kg\n Factor of Safety: 0.77\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.4334073877897, "fos_buckling": 0.7691413515454424, "fos_yielding": 3.9219925209221063, "deflection": 0.002514244355962776, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002968)" }, "parent_node_id": "node_2625", "improvement_over_parent": null }, "node_2627": { "node_id": "node_2627", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 165.29 kg\n Factor of Safety: 0.92\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.2867759462511, "fos_buckling": 0.9160324185896682, "fos_yielding": 4.806310193858079, "deflection": 0.002050615659967283, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2626", "improvement_over_parent": null }, "node_2628": { "node_id": "node_2628", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 182.90 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8953817162399, "fos_buckling": 0.9169749179256194, "fos_yielding": 4.801627102337191, "deflection": 0.0019483891421739953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2627", "improvement_over_parent": null }, "node_2629": { "node_id": "node_2629", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 200.69 kg\n Factor of Safety: 1.43\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.68972685779835, "fos_buckling": 1.4299126326495761, "fos_yielding": 6.306178831819832, "deflection": 0.0015083789228861626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003504)" }, "parent_node_id": "node_2628", "improvement_over_parent": null }, "node_2630": { "node_id": "node_2630", "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 203.78 kg\n Factor of Safety: 1.42\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.78186623199286, "fos_buckling": 1.4236979431076444, "fos_yielding": 6.370349570910789, "deflection": 0.00150248012869207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.214)" }, "parent_node_id": "node_2629", "improvement_over_parent": null }, "node_2631": { "node_id": "node_2631", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2630", "improvement_over_parent": null }, "node_2632": { "node_id": "node_2632", "content": "INITIAL DESIGN (Trace 380)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 132.17 kg\n Factor of Safety: 1.05\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.17227516921474, "fos_buckling": 1.0492739484665285, "fos_yielding": 4.160099991789283, "deflection": 0.002252433781888322, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2633": { "node_id": "node_2633", "content": "MODIFICATION: Increase 12 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 135.39 kg\n Factor of Safety: 1.10\n Max Deflection: 2.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.3928379871999, "fos_buckling": 1.0996037224247404, "fos_yielding": 4.22093399169651, "deflection": 0.002229060289598187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.479)" }, "parent_node_id": "node_2632", "improvement_over_parent": null }, "node_2634": { "node_id": "node_2634", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.26 kg\n Factor of Safety: 1.26\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.2623586192485, "fos_buckling": 1.2578843142076759, "fos_yielding": 4.922240876913456, "deflection": 0.0019119820600616122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2633", "improvement_over_parent": null }, "node_2635": { "node_id": "node_2635", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11418211599081, "fos_buckling": 1.5518249423870614, "fos_yielding": 6.318374279051664, "deflection": 0.0014902967568252436, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2634", "improvement_over_parent": null }, "node_2636": { "node_id": "node_2636", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2635", "improvement_over_parent": null }, "node_2637": { "node_id": "node_2637", "content": "INITIAL DESIGN (Trace 381)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0011)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 91.93 kg\n Factor of Safety: 0.64\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.93190908924399, "fos_buckling": 0.6361964783665756, "fos_yielding": 2.47783408396911, "deflection": 0.0033763634167127414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2638": { "node_id": "node_2638", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 114.37 kg\n Factor of Safety: 0.78\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.3696077583445, "fos_buckling": 0.7793497988608115, "fos_yielding": 3.0792191831392977, "deflection": 0.002720083738549488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_2637", "improvement_over_parent": null }, "node_2639": { "node_id": "node_2639", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 126.94 kg\n Factor of Safety: 0.86\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.93981237079049, "fos_buckling": 0.8574949757381246, "fos_yielding": 3.415652745644003, "deflection": 0.002453798515103253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_2638", "improvement_over_parent": null }, "node_2640": { "node_id": "node_2640", "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 128.02 kg\n Factor of Safety: 1.05\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.01850332876188, "fos_buckling": 1.0508156685008085, "fos_yielding": 3.469109714858339, "deflection": 0.002391102798927069, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.323)" }, "parent_node_id": "node_2639", "improvement_over_parent": null }, "node_2641": { "node_id": "node_2641", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 146.29 kg\n Factor of Safety: 1.18\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.2851930583531, "fos_buckling": 1.1802189513801007, "fos_yielding": 3.960528709391594, "deflection": 0.0020966369840786027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_2640", "improvement_over_parent": null }, "node_2642": { "node_id": "node_2642", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 171.77 kg\n Factor of Safety: 1.35\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.76888832232427, "fos_buckling": 1.3523351936482086, "fos_yielding": 4.644973292403962, "deflection": 0.0017904502590207537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_2641", "improvement_over_parent": null }, "node_2643": { "node_id": "node_2643", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.75 kg\n Factor of Safety: 1.55\n Max Deflection: 1.52e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.75441107715662, "fos_buckling": 1.5485113718911416, "fos_yielding": 5.4757156659581, "deflection": 0.0015218249584286678, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.198)" }, "parent_node_id": "node_2642", "improvement_over_parent": null }, "node_2644": { "node_id": "node_2644", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.94936600489822, "fos_buckling": 1.5507871641454043, "fos_yielding": 6.313211803739617, "deflection": 0.001491484802713482, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.192)" }, "parent_node_id": "node_2643", "improvement_over_parent": null }, "node_2645": { "node_id": "node_2645", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2644", "improvement_over_parent": null }, "node_2646": { "node_id": "node_2646", "content": "INITIAL DESIGN (Trace 382)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 156.93 kg\n Factor of Safety: 0.42\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.92953369578842, "fos_buckling": 0.4215526031562304, "fos_yielding": 2.817388556660211, "deflection": 0.005044849774644509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2647": { "node_id": "node_2647", "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 157.60 kg\n Factor of Safety: 0.42\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.5976893034307, "fos_buckling": 0.42152137445116816, "fos_yielding": 2.8171808345922567, "deflection": 0.005031699232261706, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.299)" }, "parent_node_id": "node_2646", "improvement_over_parent": null }, "node_2648": { "node_id": "node_2648", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 163.44 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.4365221970375, "fos_buckling": 1.2926092906642268, "fos_yielding": 5.080422690857736, "deflection": 0.0018525805206697102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002614)" }, "parent_node_id": "node_2647", "improvement_over_parent": null }, "node_2649": { "node_id": "node_2649", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.22389202292143, "fos_buckling": 1.5524882102591293, "fos_yielding": 6.3216655185211605, "deflection": 0.001489536152717157, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2648", "improvement_over_parent": null }, "node_2650": { "node_id": "node_2650", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2649", "improvement_over_parent": null }, "node_2651": { "node_id": "node_2651", "content": "INITIAL DESIGN (Trace 383)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 193.22 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.22398711473073, "fos_buckling": 0.9088074443692966, "fos_yielding": 4.933097651259486, "deflection": 0.0017514559023173186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2652": { "node_id": "node_2652", "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.06 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.05528313447286, "fos_buckling": 0.9076590903507062, "fos_yielding": 4.926864270858592, "deflection": 0.0017525372700885821, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.543)" }, "parent_node_id": "node_2651", "improvement_over_parent": null }, "node_2653": { "node_id": "node_2653", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 203.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.20665818139472, "fos_buckling": 1.5527305695160551, "fos_yielding": 6.322356499040274, "deflection": 0.0014986950496654352, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2652", "improvement_over_parent": null }, "node_2654": { "node_id": "node_2654", "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17098393107167, "fos_buckling": 1.5521430749801495, "fos_yielding": 6.319964358400966, "deflection": 0.0014899054410369298, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.277)" }, "parent_node_id": "node_2653", "improvement_over_parent": null }, "node_2655": { "node_id": "node_2655", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2654", "improvement_over_parent": null }, "node_2656": { "node_id": "node_2656", "content": "INITIAL DESIGN (Trace 384)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 102.18 kg\n Factor of Safety: 0.57\n Max Deflection: 3.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.18414272143576, "fos_buckling": 0.5657469128371222, "fos_yielding": 2.783666125210973, "deflection": 0.003597770402698762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2657": { "node_id": "node_2657", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n\nPerformance:\n Mass: 111.34 kg\n Factor of Safety: 0.57\n Max Deflection: 3.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.34338931978718, "fos_buckling": 0.5719832910914159, "fos_yielding": 2.8140530474475853, "deflection": 0.0030582197298827806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.001739)" }, "parent_node_id": "node_2656", "improvement_over_parent": null }, "node_2658": { "node_id": "node_2658", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n\nPerformance:\n Mass: 113.73 kg\n Factor of Safety: 0.81\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.73054319293124, "fos_buckling": 0.8064218287510104, "fos_yielding": 3.653846350027001, "deflection": 0.00263741224941983, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001388)" }, "parent_node_id": "node_2657", "improvement_over_parent": null }, "node_2659": { "node_id": "node_2659", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n\nPerformance:\n Mass: 130.40 kg\n Factor of Safety: 0.92\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.4017359169136, "fos_buckling": 0.9162722115229665, "fos_yielding": 4.1816369297453715, "deflection": 0.002304488886260031, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2658", "improvement_over_parent": null }, "node_2660": { "node_id": "node_2660", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 166.62 kg\n Factor of Safety: 1.15\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.62197222496442, "fos_buckling": 1.1474349500581007, "fos_yielding": 5.321455821029732, "deflection": 0.0018107824398710458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.299)" }, "parent_node_id": "node_2659", "improvement_over_parent": null }, "node_2661": { "node_id": "node_2661", "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0047)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 172.02 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.02197970607224, "fos_buckling": 1.1620371354213526, "fos_yielding": 5.316309200473488, "deflection": 0.0017858998243791492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.351)" }, "parent_node_id": "node_2660", "improvement_over_parent": null }, "node_2662": { "node_id": "node_2662", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.36\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.20877560539412, "fos_buckling": 1.3559376002339145, "fos_yielding": 6.293657506352478, "deflection": 0.0015088354942289068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_2661", "improvement_over_parent": null }, "node_2663": { "node_id": "node_2663", "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0056)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 205.23 kg\n Factor of Safety: 1.36\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.2274125728743, "fos_buckling": 1.364811740911112, "fos_yielding": 6.29101923939284, "deflection": 0.0014980365870162014, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.297)" }, "parent_node_id": "node_2662", "improvement_over_parent": null }, "node_2664": { "node_id": "node_2664", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2663", "improvement_over_parent": null }, "node_2665": { "node_id": "node_2665", "content": "INITIAL DESIGN (Trace 385)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 146.44 kg\n Factor of Safety: 1.05\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.43953715441546, "fos_buckling": 1.046732339749087, "fos_yielding": 4.098885685285637, "deflection": 0.0020633926812519913, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2666": { "node_id": "node_2666", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 163.48 kg\n Factor of Safety: 1.15\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.48058412939957, "fos_buckling": 1.1480492077313196, "fos_yielding": 4.567460297396323, "deflection": 0.0018520298035974783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2665", "improvement_over_parent": null }, "node_2667": { "node_id": "node_2667", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.89 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.88544843339355, "fos_buckling": 1.2858581274189653, "fos_yielding": 5.235524973430671, "deflection": 0.0016161047629048642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.164)" }, "parent_node_id": "node_2666", "improvement_over_parent": null }, "node_2668": { "node_id": "node_2668", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13079467439064, "fos_buckling": 1.5519095502844527, "fos_yielding": 6.31878512393028, "deflection": 0.0014902010298351082, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2667", "improvement_over_parent": null }, "node_2669": { "node_id": "node_2669", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2668", "improvement_over_parent": null }, "node_2670": { "node_id": "node_2670", "content": "INITIAL DESIGN (Trace 386)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n Mass: 105.15 kg\n Factor of Safety: 0.26\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.15351998590037, "fos_buckling": 0.2585729847512356, "fos_yielding": 3.077068789036584, "deflection": 0.004158245396015263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2671": { "node_id": "node_2671", "content": "MODIFICATION: Increase 13 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 109.71 kg\n Factor of Safety: 0.26\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.7072531349488, "fos_buckling": 0.2587042151183561, "fos_yielding": 3.248926497856475, "deflection": 0.0038912310593454485, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.647)" }, "parent_node_id": "node_2670", "improvement_over_parent": null }, "node_2672": { "node_id": "node_2672", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 125.68 kg\n Factor of Safety: 0.29\n Max Deflection: 3.40e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.67679394083913, "fos_buckling": 0.29082113053474634, "fos_yielding": 3.715243873316839, "deflection": 0.0034026994993876175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_2671", "improvement_over_parent": null }, "node_2673": { "node_id": "node_2673", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n\nPerformance:\n Mass: 142.30 kg\n Factor of Safety: 0.57\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.30279380506408, "fos_buckling": 0.568357176700778, "fos_yielding": 3.518347610948025, "deflection": 0.0025994075480676613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003257)" }, "parent_node_id": "node_2672", "improvement_over_parent": null }, "node_2674": { "node_id": "node_2674", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 160.56 kg\n Factor of Safety: 0.63\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.5602895125377, "fos_buckling": 0.6278133585543287, "fos_yielding": 3.9699103781643603, "deflection": 0.0023118983478833443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_2673", "improvement_over_parent": null }, "node_2675": { "node_id": "node_2675", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 181.77 kg\n Factor of Safety: 0.69\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.7701211679691, "fos_buckling": 0.6931774563771989, "fos_yielding": 4.495076936495076, "deflection": 0.002050387548825946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2674", "improvement_over_parent": null }, "node_2676": { "node_id": "node_2676", "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 183.73 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.72505640368297, "fos_buckling": 0.6927355285681595, "fos_yielding": 5.364981801935986, "deflection": 0.001973827725049635, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.353)" }, "parent_node_id": "node_2675", "improvement_over_parent": null }, "node_2677": { "node_id": "node_2677", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.03524362708592, "fos_buckling": 1.5513867136056427, "fos_yielding": 6.316205367153642, "deflection": 0.001490912646607292, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2676", "improvement_over_parent": null }, "node_2678": { "node_id": "node_2678", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2677", "improvement_over_parent": null }, "node_2679": { "node_id": "node_2679", "content": "INITIAL DESIGN (Trace 387)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n\nPerformance:\n Mass: 81.54 kg\n Factor of Safety: 0.28\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.54260544999683, "fos_buckling": 0.27783862328515957, "fos_yielding": 2.324095652936735, "deflection": 0.004498685034416661, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2680": { "node_id": "node_2680", "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0011)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n\nPerformance:\n Mass: 82.75 kg\n Factor of Safety: 0.28\n Max Deflection: 4.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 82.7480126959117, "fos_buckling": 0.27776470138193665, "fos_yielding": 2.3234773027163595, "deflection": 0.004534602861152438, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.244)" }, "parent_node_id": "node_2679", "improvement_over_parent": null }, "node_2681": { "node_id": "node_2681", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n\nPerformance:\n Mass: 96.20 kg\n Factor of Safety: 0.32\n Max Deflection: 3.91e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.20438458757687, "fos_buckling": 0.31935011476547837, "fos_yielding": 2.696188053890361, "deflection": 0.003910421381569691, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.170)" }, "parent_node_id": "node_2680", "improvement_over_parent": null }, "node_2682": { "node_id": "node_2682", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0013)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 106.99 kg\n Factor of Safety: 0.78\n Max Deflection: 2.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.98708608980375, "fos_buckling": 0.7782369865614476, "fos_yielding": 3.386739059102423, "deflection": 0.002798817180188028, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002112)" }, "parent_node_id": "node_2681", "improvement_over_parent": null }, "node_2683": { "node_id": "node_2683", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 139.05 kg\n Factor of Safety: 0.99\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.04727913937103, "fos_buckling": 0.985159031282025, "fos_yielding": 4.386185415235467, "deflection": 0.0021617222658232853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2682", "improvement_over_parent": null }, "node_2684": { "node_id": "node_2684", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 176.83 kg\n Factor of Safety: 1.21\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.83401795181976, "fos_buckling": 1.2140307909447574, "fos_yielding": 5.555125966766326, "deflection": 0.0017074234859744738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2683", "improvement_over_parent": null }, "node_2685": { "node_id": "node_2685", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.81 kg\n Factor of Safety: 1.36\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.80602327684343, "fos_buckling": 1.356528864326603, "fos_yielding": 6.32231178711804, "deflection": 0.0015005609238604339, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.155)" }, "parent_node_id": "node_2684", "improvement_over_parent": null }, "node_2686": { "node_id": "node_2686", "content": "MODIFICATION: Increase 9 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.36549947244464, "fos_buckling": 1.553361540893452, "fos_yielding": 6.326010796573582, "deflection": 0.001488511661094224, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.326)" }, "parent_node_id": "node_2685", "improvement_over_parent": null }, "node_2687": { "node_id": "node_2687", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2686", "improvement_over_parent": null }, "node_2688": { "node_id": "node_2688", "content": "INITIAL DESIGN (Trace 388)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 174.94 kg\n Factor of Safety: 1.03\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.9410475643174, "fos_buckling": 1.0313482105137517, "fos_yielding": 5.296138290722054, "deflection": 0.0017915565406613802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2689": { "node_id": "node_2689", "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 176.44 kg\n Factor of Safety: 1.03\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.438643473607, "fos_buckling": 1.0316957963727613, "fos_yielding": 5.29526038321873, "deflection": 0.00177589782461194, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.258)" }, "parent_node_id": "node_2688", "improvement_over_parent": null }, "node_2690": { "node_id": "node_2690", "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.13 kg\n Factor of Safety: 1.03\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.1288266413939, "fos_buckling": 1.0316957963727618, "fos_yielding": 5.29526038321873, "deflection": 0.0017658609235516626, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.215)" }, "parent_node_id": "node_2689", "improvement_over_parent": null }, "node_2691": { "node_id": "node_2691", "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.96 kg\n Factor of Safety: 1.03\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.95751788441237, "fos_buckling": 1.030671916723332, "fos_yielding": 5.290090815179718, "deflection": 0.0016317383480068638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.387)" }, "parent_node_id": "node_2690", "improvement_over_parent": null }, "node_2692": { "node_id": "node_2692", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 202.55 kg\n Factor of Safety: 1.53\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.55233795480618, "fos_buckling": 1.5291977463639208, "fos_yielding": 6.2919732015908325, "deflection": 0.0015020805219249599, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2691", "improvement_over_parent": null }, "node_2693": { "node_id": "node_2693", "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 203.56 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.5574019941237, "fos_buckling": 1.5316196233111647, "fos_yielding": 6.289529189519245, "deflection": 0.0014928080458778675, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.292)" }, "parent_node_id": "node_2692", "improvement_over_parent": null }, "node_2694": { "node_id": "node_2694", "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17501456703664, "fos_buckling": 1.5522092867809987, "fos_yielding": 6.3199604917435055, "deflection": 0.0014898965023239707, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.211)" }, "parent_node_id": "node_2693", "improvement_over_parent": null }, "node_2695": { "node_id": "node_2695", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2694", "improvement_over_parent": null }, "node_2696": { "node_id": "node_2696", "content": "INITIAL DESIGN (Trace 389)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 136.12 kg\n Factor of Safety: 1.10\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.1166927813231, "fos_buckling": 1.10325452775604, "fos_yielding": 4.322416495880554, "deflection": 0.002196988262170622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2697": { "node_id": "node_2697", "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 138.78 kg\n Factor of Safety: 1.12\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.78311997867246, "fos_buckling": 1.1235262262866494, "fos_yielding": 4.324954389875598, "deflection": 0.002175502316376679, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.304)" }, "parent_node_id": "node_2696", "improvement_over_parent": null }, "node_2698": { "node_id": "node_2698", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 170.32 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3238597941213, "fos_buckling": 1.338182256374016, "fos_yielding": 5.290594665870021, "deflection": 0.001779085559010542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2697", "improvement_over_parent": null }, "node_2699": { "node_id": "node_2699", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13367708521054, "fos_buckling": 1.5518994710550496, "fos_yielding": 6.31874795718579, "deflection": 0.0014901872651846444, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.218)" }, "parent_node_id": "node_2698", "improvement_over_parent": null }, "node_2700": { "node_id": "node_2700", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2699", "improvement_over_parent": null }, "node_2701": { "node_id": "node_2701", "content": "INITIAL DESIGN (Trace 390)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 131.87 kg\n Factor of Safety: 1.10\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.87100577297048, "fos_buckling": 1.0990236691686648, "fos_yielding": 3.141157967430656, "deflection": 0.0023398452719522404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2702": { "node_id": "node_2702", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 171.11 kg\n Factor of Safety: 1.37\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.1108299539643, "fos_buckling": 1.37221402064801, "fos_yielding": 4.0771506140324565, "deflection": 0.0018103672086268615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.321)" }, "parent_node_id": "node_2701", "improvement_over_parent": null }, "node_2703": { "node_id": "node_2703", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 172.93 kg\n Factor of Safety: 1.35\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.92710153484552, "fos_buckling": 1.3510213858652007, "fos_yielding": 5.4244340532171185, "deflection": 0.0017371969777412565, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.385)" }, "parent_node_id": "node_2702", "improvement_over_parent": null }, "node_2704": { "node_id": "node_2704", "content": "MODIFICATION: Increase 12 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 175.56 kg\n Factor of Safety: 1.37\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.558241347771, "fos_buckling": 1.37244945730371, "fos_yielding": 5.450591621222207, "deflection": 0.001727061272781108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.264)" }, "parent_node_id": "node_2703", "improvement_over_parent": null }, "node_2705": { "node_id": "node_2705", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16531103468247, "fos_buckling": 1.5521722585058015, "fos_yielding": 6.32010675472731, "deflection": 0.0014899469580800418, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_2704", "improvement_over_parent": null }, "node_2706": { "node_id": "node_2706", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2705", "improvement_over_parent": null }, "node_2707": { "node_id": "node_2707", "content": "INITIAL DESIGN (Trace 391)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 117.44 kg\n Factor of Safety: 0.97\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.43880315304372, "fos_buckling": 0.9698399459392112, "fos_yielding": 3.6679845778058433, "deflection": 0.0025645359174654653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2708": { "node_id": "node_2708", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 130.88 kg\n Factor of Safety: 1.07\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.87974511186914, "fos_buckling": 1.0674316874179537, "fos_yielding": 4.0820937384613485, "deflection": 0.0023047404482290116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2707", "improvement_over_parent": null }, "node_2709": { "node_id": "node_2709", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 165.21 kg\n Factor of Safety: 1.30\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.21168861364612, "fos_buckling": 1.3044216750542863, "fos_yielding": 5.134626810591738, "deflection": 0.0018330347715255603, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_2708", "improvement_over_parent": null }, "node_2710": { "node_id": "node_2710", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.04 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0352024510033, "fos_buckling": 1.551329598078836, "fos_yielding": 6.315904896886941, "deflection": 0.001490870317318538, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2709", "improvement_over_parent": null }, "node_2711": { "node_id": "node_2711", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2710", "improvement_over_parent": null }, "node_2712": { "node_id": "node_2712", "content": "INITIAL DESIGN (Trace 392)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 113.61 kg\n Factor of Safety: 0.25\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.61060703861511, "fos_buckling": 0.24894057180173612, "fos_yielding": 2.01446121423353, "deflection": 0.006862424542301292, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2713": { "node_id": "node_2713", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 119.86 kg\n Factor of Safety: 0.25\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.85823040602102, "fos_buckling": 0.24876761373234418, "fos_yielding": 2.013061613839118, "deflection": 0.005930401962169447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002212)" }, "parent_node_id": "node_2712", "improvement_over_parent": null }, "node_2714": { "node_id": "node_2714", "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 120.79 kg\n Factor of Safety: 0.25\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.7854784498438, "fos_buckling": 0.24875478842783832, "fos_yielding": 2.0129578297178687, "deflection": 0.00593070995521585, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.529)" }, "parent_node_id": "node_2713", "improvement_over_parent": null }, "node_2715": { "node_id": "node_2715", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 152.04 kg\n Factor of Safety: 0.30\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.04443992806657, "fos_buckling": 0.30084461144249974, "fos_yielding": 2.52468635286383, "deflection": 0.004728686024464, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2714", "improvement_over_parent": null }, "node_2716": { "node_id": "node_2716", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 152.68 kg\n Factor of Safety: 0.30\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.67843117454493, "fos_buckling": 0.3008340447199637, "fos_yielding": 2.5245976769854317, "deflection": 0.0047288533289881005, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.198)" }, "parent_node_id": "node_2715", "improvement_over_parent": null }, "node_2717": { "node_id": "node_2717", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 170.29 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.28703694453372, "fos_buckling": 0.30054085867272406, "fos_yielding": 2.5221372612619555, "deflection": 0.0044281732539551664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2716", "improvement_over_parent": null }, "node_2718": { "node_id": "node_2718", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14492787289757, "fos_buckling": 1.5520189877762927, "fos_yielding": 6.318912790529854, "deflection": 0.0014900797028997456, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2717", "improvement_over_parent": null }, "node_2719": { "node_id": "node_2719", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2718", "improvement_over_parent": null }, "node_2720": { "node_id": "node_2720", "content": "INITIAL DESIGN (Trace 393)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n\nPerformance:\n Mass: 160.10 kg\n Factor of Safety: 0.64\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.10037241807922, "fos_buckling": 0.6385932483375073, "fos_yielding": 4.73050798167991, "deflection": 0.002335946965223561, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2721": { "node_id": "node_2721", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 178.41 kg\n Factor of Safety: 1.18\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.40784981539892, "fos_buckling": 1.181256419792335, "fos_yielding": 4.7257181774022134, "deflection": 0.0017959952260340735, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003710)" }, "parent_node_id": "node_2720", "improvement_over_parent": null }, "node_2722": { "node_id": "node_2722", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 181.24 kg\n Factor of Safety: 1.37\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.24031458558585, "fos_buckling": 1.3679441634767855, "fos_yielding": 5.618242451150725, "deflection": 0.0016702069540122427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001740)" }, "parent_node_id": "node_2721", "improvement_over_parent": null }, "node_2723": { "node_id": "node_2723", "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0037)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n\nPerformance:\n Mass: 182.65 kg\n Factor of Safety: 1.34\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.64943350185936, "fos_buckling": 1.3419010637279867, "fos_yielding": 5.607749385920966, "deflection": 0.0016453720627571454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.238)" }, "parent_node_id": "node_2722", "improvement_over_parent": null }, "node_2724": { "node_id": "node_2724", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.47\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.60027321924932, "fos_buckling": 1.4705841143793301, "fos_yielding": 6.208780270001435, "deflection": 0.001486758299818469, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_2723", "improvement_over_parent": null }, "node_2725": { "node_id": "node_2725", "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0041)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0035)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.49\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.18645555117263, "fos_buckling": 1.4867660769170994, "fos_yielding": 6.213644033338308, "deflection": 0.0014842753232095804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.227)" }, "parent_node_id": "node_2724", "improvement_over_parent": null }, "node_2726": { "node_id": "node_2726", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2725", "improvement_over_parent": null }, "node_2727": { "node_id": "node_2727", "content": "INITIAL DESIGN (Trace 394)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 129.87 kg\n Factor of Safety: 0.07\n Max Deflection: 1.89e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.86597069521088, "fos_buckling": 0.06540379919210614, "fos_yielding": 0.6761507123481929, "deflection": 18936755329610.797, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2728": { "node_id": "node_2728", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 146.05 kg\n Factor of Safety: 0.39\n Max Deflection: 3.00e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.04547711095657, "fos_buckling": 0.3856658389737437, "fos_yielding": 4.260926116033736, "deflection": 2996390207171.85, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2727", "improvement_over_parent": null }, "node_2729": { "node_id": "node_2729", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n\nPerformance:\n Mass: 175.75 kg\n Factor of Safety: 1.15\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.75328646478718, "fos_buckling": 1.1547648590781596, "fos_yielding": 4.599702931562202, "deflection": 0.0018385815463848349, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004652)" }, "parent_node_id": "node_2728", "improvement_over_parent": null }, "node_2730": { "node_id": "node_2730", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.22965251190368, "fos_buckling": 1.2838305501674372, "fos_yielding": 5.226484472594689, "deflection": 0.001618420025945914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2729", "improvement_over_parent": null }, "node_2731": { "node_id": "node_2731", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.06052319573712, "fos_buckling": 1.5515652113984384, "fos_yielding": 6.316434427062388, "deflection": 0.0014906721126826596, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_2730", "improvement_over_parent": null }, "node_2732": { "node_id": "node_2732", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2731", "improvement_over_parent": null }, "node_2733": { "node_id": "node_2733", "content": "INITIAL DESIGN (Trace 395)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.60 kg\n Factor of Safety: 0.44\n Max Deflection: 3.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.59990360522005, "fos_buckling": 0.4427112708927411, "fos_yielding": 3.0064691946385085, "deflection": 0.0036807873699666763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2734": { "node_id": "node_2734", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 173.75 kg\n Factor of Safety: 0.74\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.7512786521419, "fos_buckling": 0.7434084771092521, "fos_yielding": 5.048515437510944, "deflection": 0.0019244279278605768, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2733", "improvement_over_parent": null }, "node_2735": { "node_id": "node_2735", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 181.62 kg\n Factor of Safety: 0.89\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.6171548405554, "fos_buckling": 0.8869401349069055, "fos_yielding": 5.457480063817645, "deflection": 0.001849991138753903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2734", "improvement_over_parent": null }, "node_2736": { "node_id": "node_2736", "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 182.27 kg\n Factor of Safety: 0.88\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.26658078613806, "fos_buckling": 0.8832742709821327, "fos_yielding": 5.45391598790386, "deflection": 0.0018406243798461262, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.248)" }, "parent_node_id": "node_2735", "improvement_over_parent": null }, "node_2737": { "node_id": "node_2737", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0056)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 188.46 kg\n Factor of Safety: 0.89\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.46476320898128, "fos_buckling": 0.891689373975368, "fos_yielding": 5.461680241412155, "deflection": 0.001820498385280946, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.653)" }, "parent_node_id": "node_2736", "improvement_over_parent": null }, "node_2738": { "node_id": "node_2738", "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0056)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 196.66 kg\n Factor of Safety: 0.87\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.65921958584207, "fos_buckling": 0.8714094400841849, "fos_yielding": 5.436496864811391, "deflection": 0.0018171838965835919, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.616)" }, "parent_node_id": "node_2737", "improvement_over_parent": null }, "node_2739": { "node_id": "node_2739", "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0090)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.56 kg\n Factor of Safety: 0.88\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.56261448918391, "fos_buckling": 0.876968403412826, "fos_yielding": 5.441746870921659, "deflection": 0.0018048549376260597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.613)" }, "parent_node_id": "node_2738", "improvement_over_parent": null }, "node_2740": { "node_id": "node_2740", "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0014)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0090)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0059)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 205.91 kg\n Factor of Safety: 0.87\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.91339924789068, "fos_buckling": 0.8718171776187783, "fos_yielding": 5.4365404887100945, "deflection": 0.0017948442751048257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.431)" }, "parent_node_id": "node_2739", "improvement_over_parent": null }, "node_2741": { "node_id": "node_2741", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2740", "improvement_over_parent": null }, "node_2742": { "node_id": "node_2742", "content": "INITIAL DESIGN (Trace 396)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 143.23 kg\n Factor of Safety: 1.01\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.22951614688756, "fos_buckling": 1.0106600574490392, "fos_yielding": 4.478798312939341, "deflection": 0.0021085829645638055, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2743": { "node_id": "node_2743", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 181.41 kg\n Factor of Safety: 1.24\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.40534288461353, "fos_buckling": 1.2443362131842646, "fos_yielding": 5.649848513821319, "deflection": 0.0016721666192113555, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2742", "improvement_over_parent": null }, "node_2744": { "node_id": "node_2744", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 182.15 kg\n Factor of Safety: 1.41\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.15210393904155, "fos_buckling": 1.4148969179798343, "fos_yielding": 5.651236239099929, "deflection": 0.0016657965556152814, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.274)" }, "parent_node_id": "node_2743", "improvement_over_parent": null }, "node_2745": { "node_id": "node_2745", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19882781885573, "fos_buckling": 1.5523238306480458, "fos_yielding": 6.320866682373715, "deflection": 0.0014897033938781347, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_2744", "improvement_over_parent": null }, "node_2746": { "node_id": "node_2746", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2745", "improvement_over_parent": null }, "node_2747": { "node_id": "node_2747", "content": "INITIAL DESIGN (Trace 397)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 109.51 kg\n Factor of Safety: 0.86\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.50539070559975, "fos_buckling": 0.8600131225146058, "fos_yielding": 3.277474413246936, "deflection": 0.0026843869989827364, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2748": { "node_id": "node_2748", "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 112.11 kg\n Factor of Safety: 0.86\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.11280250409115, "fos_buckling": 0.859513633413525, "fos_yielding": 3.2755708809569892, "deflection": 0.002664710958025431, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.458)" }, "parent_node_id": "node_2747", "improvement_over_parent": null }, "node_2749": { "node_id": "node_2749", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 146.40 kg\n Factor of Safety: 1.08\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.40421683284626, "fos_buckling": 1.0818725931000817, "fos_yielding": 4.25906806106808, "deflection": 0.002048918213440154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_2748", "improvement_over_parent": null }, "node_2750": { "node_id": "node_2750", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 159.56 kg\n Factor of Safety: 1.22\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.55575838276388, "fos_buckling": 1.2245165052126379, "fos_yielding": 4.396447853478449, "deflection": 0.001903445436865162, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002954)" }, "parent_node_id": "node_2749", "improvement_over_parent": null }, "node_2751": { "node_id": "node_2751", "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 160.26 kg\n Factor of Safety: 1.25\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.25716776052263, "fos_buckling": 1.2511333969259961, "fos_yielding": 4.391083239240885, "deflection": 0.001898176673957878, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.314)" }, "parent_node_id": "node_2750", "improvement_over_parent": null }, "node_2752": { "node_id": "node_2752", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 198.01 kg\n Factor of Safety: 1.48\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.00967889731749, "fos_buckling": 1.4832043262787937, "fos_yielding": 5.415932549865962, "deflection": 0.0015426405756456792, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2751", "improvement_over_parent": null }, "node_2753": { "node_id": "node_2753", "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 199.34 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.34166801629368, "fos_buckling": 1.4923201236766903, "fos_yielding": 6.316315966455646, "deflection": 0.0015087058612278386, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.218)" }, "parent_node_id": "node_2752", "improvement_over_parent": null }, "node_2754": { "node_id": "node_2754", "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0059)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 206.70 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.70397628389736, "fos_buckling": 1.5493486879736174, "fos_yielding": 6.308703941440756, "deflection": 0.0014819539154353504, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.416)" }, "parent_node_id": "node_2753", "improvement_over_parent": null }, "node_2755": { "node_id": "node_2755", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2754", "improvement_over_parent": null }, "node_2756": { "node_id": "node_2756", "content": "INITIAL DESIGN (Trace 398)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 165.34 kg\n Factor of Safety: 1.12\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.34132832471755, "fos_buckling": 1.1219089400161504, "fos_yielding": 5.4787883672097575, "deflection": 0.001774665316194025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2757": { "node_id": "node_2757", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 190.01 kg\n Factor of Safety: 1.27\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.0074131433133, "fos_buckling": 1.2667681459689686, "fos_yielding": 6.275404727955312, "deflection": 0.0015491419222974107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.163)" }, "parent_node_id": "node_2756", "improvement_over_parent": null }, "node_2758": { "node_id": "node_2758", "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 192.76 kg\n Factor of Safety: 1.23\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.75727903777354, "fos_buckling": 1.226966767034387, "fos_yielding": 6.205498507827907, "deflection": 0.0015439704589568556, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.590)" }, "parent_node_id": "node_2757", "improvement_over_parent": null }, "node_2759": { "node_id": "node_2759", "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 1.51\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 200.03522125161854, "fos_buckling": 1.5107614342041547, "fos_yielding": 6.253670048531385, "deflection": 0.0015025312759828179, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.613)" }, "parent_node_id": "node_2758", "improvement_over_parent": null }, "node_2760": { "node_id": "node_2760", "content": "MODIFICATION: Increase 12 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08192214799536, "fos_buckling": 1.5517839523245296, "fos_yielding": 6.318160974345821, "deflection": 0.0014904314331554576, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.385)" }, "parent_node_id": "node_2759", "improvement_over_parent": null }, "node_2761": { "node_id": "node_2761", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2760", "improvement_over_parent": null }, "node_2762": { "node_id": "node_2762", "content": "INITIAL DESIGN (Trace 399)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 190.03 kg\n Factor of Safety: 1.28\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.02713624744518, "fos_buckling": 1.2752187988215493, "fos_yielding": 6.1955986739476865, "deflection": 0.0015495342987955209, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2763": { "node_id": "node_2763", "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 194.73 kg\n Factor of Safety: 1.30\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.72807923691502, "fos_buckling": 1.2961366901756188, "fos_yielding": 6.171069439580642, "deflection": 0.001535430664276897, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.473)" }, "parent_node_id": "node_2762", "improvement_over_parent": null }, "node_2764": { "node_id": "node_2764", "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.29 kg\n Factor of Safety: 1.30\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.28996918580486, "fos_buckling": 1.3021814736212105, "fos_yielding": 6.163533478942434, "deflection": 0.0015055151503836953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.414)" }, "parent_node_id": "node_2763", "improvement_over_parent": null }, "node_2765": { "node_id": "node_2765", "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.15998086045497, "fos_buckling": 1.5520712781578878, "fos_yielding": 6.319672018496836, "deflection": 0.0014899589063847637, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.658)" }, "parent_node_id": "node_2764", "improvement_over_parent": null }, "node_2766": { "node_id": "node_2766", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2765", "improvement_over_parent": null }, "node_2767": { "node_id": "node_2767", "content": "INITIAL DESIGN (Trace 400)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 160.32 kg\n Factor of Safety: 0.76\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.3176737163852, "fos_buckling": 0.7635146177591351, "fos_yielding": 4.40573789738924, "deflection": 0.0021669271602933336, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2768": { "node_id": "node_2768", "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 161.32 kg\n Factor of Safety: 0.76\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.32453468492017, "fos_buckling": 0.763262883072293, "fos_yielding": 5.012954390154359, "deflection": 0.00212852599415718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.222)" }, "parent_node_id": "node_2767", "improvement_over_parent": null }, "node_2769": { "node_id": "node_2769", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 164.67 kg\n Factor of Safety: 1.30\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.672250022489, "fos_buckling": 1.300845325493471, "fos_yielding": 5.118197427070256, "deflection": 0.0018389466069121377, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001988)" }, "parent_node_id": "node_2768", "improvement_over_parent": null }, "node_2770": { "node_id": "node_2770", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11817645745657, "fos_buckling": 1.5518463874821042, "fos_yielding": 6.318480721735644, "deflection": 0.0014902952203982218, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_2769", "improvement_over_parent": null }, "node_2771": { "node_id": "node_2771", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2770", "improvement_over_parent": null }, "node_2772": { "node_id": "node_2772", "content": "INITIAL DESIGN (Trace 401)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 1.13\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.05800479267668, "fos_buckling": 1.1304311341598148, "fos_yielding": 4.48469141919638, "deflection": 0.0018940108475443223, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2773": { "node_id": "node_2773", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.30 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.30385413388504, "fos_buckling": 1.286100570139713, "fos_yielding": 5.236734766926672, "deflection": 0.0016223810809995799, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_2772", "improvement_over_parent": null }, "node_2774": { "node_id": "node_2774", "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.94 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.93735276653325, "fos_buckling": 1.286100570139713, "fos_yielding": 5.236734766926671, "deflection": 0.0016157048072230652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.188)" }, "parent_node_id": "node_2773", "improvement_over_parent": null }, "node_2775": { "node_id": "node_2775", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18269900753035, "fos_buckling": 1.5521816498169934, "fos_yielding": 6.320161734551791, "deflection": 0.0014898374104030873, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2774", "improvement_over_parent": null }, "node_2776": { "node_id": "node_2776", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2775", "improvement_over_parent": null }, "node_2777": { "node_id": "node_2777", "content": "INITIAL DESIGN (Trace 402)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 112.06 kg\n Factor of Safety: 0.55\n Max Deflection: 5.84e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.0570306781814, "fos_buckling": 0.5540165986795325, "fos_yielding": 3.1046548674519197, "deflection": 5842380117834.774, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2778": { "node_id": "node_2778", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 117.31 kg\n Factor of Safety: 0.73\n Max Deflection: 1.66e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.30952533080257, "fos_buckling": 0.727658029786411, "fos_yielding": 4.373539327634776, "deflection": 1658652603984.7517, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002334)" }, "parent_node_id": "node_2777", "improvement_over_parent": null }, "node_2779": { "node_id": "node_2779", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 130.54 kg\n Factor of Safety: 0.24\n Max Deflection: 5.20e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.53978699122996, "fos_buckling": 0.24324909295253386, "fos_yielding": 1.0348849558173066, "deflection": 5198433244753.562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_2778", "improvement_over_parent": null }, "node_2780": { "node_id": "node_2780", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 163.19 kg\n Factor of Safety: 0.70\n Max Deflection: 1.33e+12 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.18949367952143, "fos_buckling": 0.7043520321587884, "fos_yielding": 3.10465486745192, "deflection": 1331193220226.0674, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_2779", "improvement_over_parent": null }, "node_2781": { "node_id": "node_2781", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 178.78 kg\n Factor of Safety: 0.92\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.78431374991524, "fos_buckling": 0.9176382544086108, "fos_yielding": 4.808380655610445, "deflection": 0.001981396505840152, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_2780", "improvement_over_parent": null }, "node_2782": { "node_id": "node_2782", "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0047)]\n\nPerformance:\n Mass: 182.84 kg\n Factor of Safety: 0.92\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.8431305765084, "fos_buckling": 0.9182914217786906, "fos_yielding": 4.805142349037146, "deflection": 0.001913368198551502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.295)" }, "parent_node_id": "node_2781", "improvement_over_parent": null }, "node_2783": { "node_id": "node_2783", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0047)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.36\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.09152208342502, "fos_buckling": 1.3559319265804306, "fos_yielding": 6.3155392419580005, "deflection": 0.0015024838220036362, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2782", "improvement_over_parent": null }, "node_2784": { "node_id": "node_2784", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2783", "improvement_over_parent": null }, "node_2785": { "node_id": "node_2785", "content": "INITIAL DESIGN (Trace 403)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 148.94 kg\n Factor of Safety: 0.35\n Max Deflection: 3.36e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.94165533071038, "fos_buckling": 0.34634554027250525, "fos_yielding": 3.1046548674519197, "deflection": 3361156425940.3447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2786": { "node_id": "node_2786", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 0.91\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.25184255411332, "fos_buckling": 0.9138752009584298, "fos_yielding": 4.993338985751878, "deflection": 0.00216023466407118, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2785", "improvement_over_parent": null }, "node_2787": { "node_id": "node_2787", "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 172.69 kg\n Factor of Safety: 0.91\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6894454434067, "fos_buckling": 0.9128482229527667, "fos_yielding": 5.041191872342781, "deflection": 0.0021240724957549716, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.212)" }, "parent_node_id": "node_2786", "improvement_over_parent": null }, "node_2788": { "node_id": "node_2788", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 184.04 kg\n Factor of Safety: 1.06\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.0400231941839, "fos_buckling": 1.0596503823152659, "fos_yielding": 5.222276465591646, "deflection": 0.0018277118596400999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002412)" }, "parent_node_id": "node_2787", "improvement_over_parent": null }, "node_2789": { "node_id": "node_2789", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 197.91 kg\n Factor of Safety: 1.46\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.91038106514176, "fos_buckling": 1.4586681724044894, "fos_yielding": 6.313704086419881, "deflection": 0.0015164979345611545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2788", "improvement_over_parent": null }, "node_2790": { "node_id": "node_2790", "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1736207151606, "fos_buckling": 1.5521494022135807, "fos_yielding": 6.3199901214188285, "deflection": 0.0014899030186209116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.605)" }, "parent_node_id": "node_2789", "improvement_over_parent": null }, "node_2791": { "node_id": "node_2791", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2790", "improvement_over_parent": null }, "node_2792": { "node_id": "node_2792", "content": "INITIAL DESIGN (Trace 404)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 121.24 kg\n Factor of Safety: 0.73\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.23873318544153, "fos_buckling": 0.7261682193516575, "fos_yielding": 3.6185962983039013, "deflection": 0.0026294451055614543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2793": { "node_id": "node_2793", "content": "MODIFICATION: Increase 10 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 127.14 kg\n Factor of Safety: 0.94\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.14235445964091, "fos_buckling": 0.9429682966581472, "fos_yielding": 3.6333274753242075, "deflection": 0.0023266486439265945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.359)" }, "parent_node_id": "node_2792", "improvement_over_parent": null }, "node_2794": { "node_id": "node_2794", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 138.34 kg\n Factor of Safety: 0.97\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.3431445325055, "fos_buckling": 0.9720632594714437, "fos_yielding": 4.290107205753614, "deflection": 0.0021644128110556503, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002488)" }, "parent_node_id": "node_2793", "improvement_over_parent": null }, "node_2795": { "node_id": "node_2795", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n\nPerformance:\n Mass: 168.26 kg\n Factor of Safety: 1.16\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.25818229622993, "fos_buckling": 1.157614628708752, "fos_yielding": 5.201638498875673, "deflection": 0.0017859842861929183, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_2794", "improvement_over_parent": null }, "node_2796": { "node_id": "node_2796", "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n\nPerformance:\n Mass: 171.20 kg\n Factor of Safety: 1.34\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.19968042067825, "fos_buckling": 1.3445673373530673, "fos_yielding": 5.316116549741308, "deflection": 0.001769928804876423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.555)" }, "parent_node_id": "node_2795", "improvement_over_parent": null }, "node_2797": { "node_id": "node_2797", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.244739776601, "fos_buckling": 1.553256988371887, "fos_yielding": 6.320708913130105, "deflection": 0.0014892034187093325, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2796", "improvement_over_parent": null }, "node_2798": { "node_id": "node_2798", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2797", "improvement_over_parent": null }, "node_2799": { "node_id": "node_2799", "content": "INITIAL DESIGN (Trace 405)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 112.49 kg\n Factor of Safety: 0.33\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.4885232520027, "fos_buckling": 0.32551255626606734, "fos_yielding": 2.102767158442825, "deflection": 0.006901420224924599, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2800": { "node_id": "node_2800", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 132.21 kg\n Factor of Safety: 0.37\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.21087112775064, "fos_buckling": 0.3749861388783449, "fos_yielding": 2.46394285922519, "deflection": 0.005891992301690685, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_2799", "improvement_over_parent": null }, "node_2801": { "node_id": "node_2801", "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 133.68 kg\n Factor of Safety: 0.37\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.67558499085135, "fos_buckling": 0.37498613887834475, "fos_yielding": 2.4639428592251913, "deflection": 0.005864556621195805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.271)" }, "parent_node_id": "node_2800", "improvement_over_parent": null }, "node_2802": { "node_id": "node_2802", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 138.77 kg\n Factor of Safety: 1.13\n Max Deflection: 2.25e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.7694321362499, "fos_buckling": 1.1323635562214769, "fos_yielding": 3.0903429417426405, "deflection": 0.0022514529914496343, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002259)" }, "parent_node_id": "node_2801", "improvement_over_parent": null }, "node_2803": { "node_id": "node_2803", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 165.97 kg\n Factor of Safety: 1.32\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.97374055914787, "fos_buckling": 1.3210862128339032, "fos_yielding": 3.6997261675899207, "deflection": 0.0018873886001971657, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_2802", "improvement_over_parent": null }, "node_2804": { "node_id": "node_2804", "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 168.11 kg\n Factor of Safety: 1.33\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.10529975684182, "fos_buckling": 1.330037164025202, "fos_yielding": 5.292459058286822, "deflection": 0.0017897891068257036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.508)" }, "parent_node_id": "node_2803", "improvement_over_parent": null }, "node_2805": { "node_id": "node_2805", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.37 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.3651779845386, "fos_buckling": 1.5361037676299758, "fos_yielding": 6.316449340297128, "deflection": 0.0015000394459335539, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.217)" }, "parent_node_id": "node_2804", "improvement_over_parent": null }, "node_2806": { "node_id": "node_2806", "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0050)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.95 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.9468825366113, "fos_buckling": 1.5498535306357208, "fos_yielding": 6.312340091980147, "deflection": 0.001486116723786136, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.198)" }, "parent_node_id": "node_2805", "improvement_over_parent": null }, "node_2807": { "node_id": "node_2807", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2806", "improvement_over_parent": null }, "node_2808": { "node_id": "node_2808", "content": "INITIAL DESIGN (Trace 406)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 0.70\n Max Deflection: 2.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.21465723832418, "fos_buckling": 0.6954929865313824, "fos_yielding": 5.263166606894312, "deflection": 0.002433366307756507, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2809": { "node_id": "node_2809", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 195.52 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.52484446172713, "fos_buckling": 1.3097785766605516, "fos_yielding": 6.2154910867520945, "deflection": 0.0015299090712775625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2808", "improvement_over_parent": null }, "node_2810": { "node_id": "node_2810", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.30 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.3009029089593, "fos_buckling": 1.307436283086917, "fos_yielding": 6.251947983776101, "deflection": 0.0015265159120858662, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.279)" }, "parent_node_id": "node_2809", "improvement_over_parent": null }, "node_2811": { "node_id": "node_2811", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1667790973728, "fos_buckling": 1.5521322191355935, "fos_yielding": 6.319920155935503, "deflection": 0.0014899233047803212, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2810", "improvement_over_parent": null }, "node_2812": { "node_id": "node_2812", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2811", "improvement_over_parent": null }, "node_2813": { "node_id": "node_2813", "content": "INITIAL DESIGN (Trace 407)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 131.78 kg\n Factor of Safety: 0.37\n Max Deflection: 5.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.77602713636398, "fos_buckling": 0.3711725109015693, "fos_yielding": 2.4354346620857497, "deflection": 0.00595870419843945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2814": { "node_id": "node_2814", "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 133.38 kg\n Factor of Safety: 0.37\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.38015293877757, "fos_buckling": 0.3711725109015692, "fos_yielding": 2.435434662085749, "deflection": 0.005865860248401411, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.279)" }, "parent_node_id": "node_2813", "improvement_over_parent": null }, "node_2815": { "node_id": "node_2815", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 147.97 kg\n Factor of Safety: 0.41\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.96843192945747, "fos_buckling": 0.4057901530556174, "fos_yielding": 2.6961183002424556, "deflection": 0.005300935878001796, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.117)" }, "parent_node_id": "node_2814", "improvement_over_parent": null }, "node_2816": { "node_id": "node_2816", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 169.44 kg\n Factor of Safety: 0.45\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.43544477062107, "fos_buckling": 0.45462858373600096, "fos_yielding": 3.0777160159332664, "deflection": 0.004646540295737104, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.157)" }, "parent_node_id": "node_2815", "improvement_over_parent": null }, "node_2817": { "node_id": "node_2817", "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 172.52 kg\n Factor of Safety: 0.45\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.52106295883937, "fos_buckling": 0.4546285837360011, "fos_yielding": 3.077716015933266, "deflection": 0.004607872050905, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.560)" }, "parent_node_id": "node_2816", "improvement_over_parent": null }, "node_2818": { "node_id": "node_2818", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n\nPerformance:\n Mass: 196.55 kg\n Factor of Safety: 0.51\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.55040507502147, "fos_buckling": 0.5055140360972692, "fos_yielding": 3.4950235800573757, "deflection": 0.004060771454056109, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.153)" }, "parent_node_id": "node_2817", "improvement_over_parent": null }, "node_2819": { "node_id": "node_2819", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.84593112822444, "fos_buckling": 1.550047729320523, "fos_yielding": 6.309545248648038, "deflection": 0.001492089467470972, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_2818", "improvement_over_parent": null }, "node_2820": { "node_id": "node_2820", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2819", "improvement_over_parent": null }, "node_2821": { "node_id": "node_2821", "content": "INITIAL DESIGN (Trace 408)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 167.52 kg\n Factor of Safety: 1.00\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.52053882146856, "fos_buckling": 1.000092860539684, "fos_yielding": 5.39032727763178, "deflection": 0.001791199443480532, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2822": { "node_id": "node_2822", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 194.92 kg\n Factor of Safety: 1.15\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 194.92319986643705, "fos_buckling": 1.1460917746114287, "fos_yielding": 6.2513648371184125, "deflection": 0.001544423187689935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_2821", "improvement_over_parent": null }, "node_2823": { "node_id": "node_2823", "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.85 kg\n Factor of Safety: 1.14\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.85051565942877, "fos_buckling": 1.1445589970039802, "fos_yielding": 6.316389389408455, "deflection": 0.00153805257225414, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.252)" }, "parent_node_id": "node_2822", "improvement_over_parent": null }, "node_2824": { "node_id": "node_2824", "content": "MODIFICATION: Increase 5 thickness by 67%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.42 kg\n Factor of Safety: 1.55\n Max Deflection: 1.53e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.42081363190843, "fos_buckling": 1.5521250816198566, "fos_yielding": 6.319603281915936, "deflection": 0.0015250114211401266, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.667)" }, "parent_node_id": "node_2823", "improvement_over_parent": null }, "node_2825": { "node_id": "node_2825", "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 202.49 kg\n Factor of Safety: 1.52\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.4887530685149, "fos_buckling": 1.5167522405966403, "fos_yielding": 6.323147828884965, "deflection": 0.0015078823258426327, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.330)" }, "parent_node_id": "node_2824", "improvement_over_parent": null }, "node_2826": { "node_id": "node_2826", "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11594243954335, "fos_buckling": 1.5518463574390413, "fos_yielding": 6.3184684337850205, "deflection": 0.0014902833075116156, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.565)" }, "parent_node_id": "node_2825", "improvement_over_parent": null }, "node_2827": { "node_id": "node_2827", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2826", "improvement_over_parent": null }, "node_2828": { "node_id": "node_2828", "content": "INITIAL DESIGN (Trace 409)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0016)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 92.42 kg\n Factor of Safety: 0.51\n Max Deflection: 3.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.42275358963136, "fos_buckling": 0.5052456849122837, "fos_yielding": 2.537328001834075, "deflection": 0.003500143372650116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2829": { "node_id": "node_2829", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 106.51 kg\n Factor of Safety: 0.57\n Max Deflection: 3.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.50542272796893, "fos_buckling": 0.5732535169917732, "fos_yielding": 2.9233203279859192, "deflection": 0.0030421843194699634, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2828", "improvement_over_parent": null }, "node_2830": { "node_id": "node_2830", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 123.30 kg\n Factor of Safety: 0.65\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.29574228165313, "fos_buckling": 0.651311777928195, "fos_yielding": 3.3834760555859567, "deflection": 0.0026328809899389973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2829", "improvement_over_parent": null }, "node_2831": { "node_id": "node_2831", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 151.38 kg\n Factor of Safety: 0.77\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.38001982251916, "fos_buckling": 0.7746078848395205, "fos_yielding": 4.153257805179717, "deflection": 0.0021511799484415107, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_2830", "improvement_over_parent": null }, "node_2832": { "node_id": "node_2832", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 152.71 kg\n Factor of Safety: 0.77\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.71126554764822, "fos_buckling": 0.7744951096750005, "fos_yielding": 5.097386549956169, "deflection": 0.002095251936264224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.276)" }, "parent_node_id": "node_2831", "improvement_over_parent": null }, "node_2833": { "node_id": "node_2833", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 167.13 kg\n Factor of Safety: 1.32\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.1316975461064, "fos_buckling": 1.3171136662694591, "fos_yielding": 5.192717575916882, "deflection": 0.0018124347414266101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003114)" }, "parent_node_id": "node_2832", "improvement_over_parent": null }, "node_2834": { "node_id": "node_2834", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.96884712992428, "fos_buckling": 1.5508797364035052, "fos_yielding": 6.31323742707457, "deflection": 0.0014913907041956321, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_2833", "improvement_over_parent": null }, "node_2835": { "node_id": "node_2835", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2834", "improvement_over_parent": null }, "node_2836": { "node_id": "node_2836", "content": "INITIAL DESIGN (Trace 410)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 148.13 kg\n Factor of Safety: 1.14\n Max Deflection: 2.01e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.12699942230338, "fos_buckling": 1.1427435092720615, "fos_yielding": 4.435224183501489, "deflection": 0.002010730682944434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2837": { "node_id": "node_2837", "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 149.42 kg\n Factor of Safety: 1.13\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.42246869468548, "fos_buckling": 1.1303172973622404, "fos_yielding": 4.8958171079733965, "deflection": 0.0019636367700151644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.276)" }, "parent_node_id": "node_2836", "improvement_over_parent": null }, "node_2838": { "node_id": "node_2838", "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 153.69 kg\n Factor of Safety: 1.08\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.6936602130004, "fos_buckling": 1.0810519358665933, "fos_yielding": 4.902504393495055, "deflection": 0.0019365710723695123, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.368)" }, "parent_node_id": "node_2837", "improvement_over_parent": null }, "node_2839": { "node_id": "node_2839", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 154.45 kg\n Factor of Safety: 1.08\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.45409576443262, "fos_buckling": 1.0784834870193916, "fos_yielding": 4.940477507642507, "deflection": 0.0019308667774083057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.362)" }, "parent_node_id": "node_2838", "improvement_over_parent": null }, "node_2840": { "node_id": "node_2840", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n\nPerformance:\n Mass: 160.64 kg\n Factor of Safety: 1.27\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.64385008978905, "fos_buckling": 1.2739029869075627, "fos_yielding": 4.995020760075427, "deflection": 0.0018840995104688508, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002190)" }, "parent_node_id": "node_2839", "improvement_over_parent": null }, "node_2841": { "node_id": "node_2841", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10764025601173, "fos_buckling": 1.5517673682923656, "fos_yielding": 6.3181030589470755, "deflection": 0.0014903015526950372, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.297)" }, "parent_node_id": "node_2840", "improvement_over_parent": null }, "node_2842": { "node_id": "node_2842", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2841", "improvement_over_parent": null }, "node_2843": { "node_id": "node_2843", "content": "INITIAL DESIGN (Trace 411)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 103.74 kg\n Factor of Safety: 0.47\n Max Deflection: 3.44e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 103.73941384081792, "fos_buckling": 0.47211152495962744, "fos_yielding": 2.185138145419549, "deflection": 0.0034353408453616802, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2844": { "node_id": "node_2844", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 134.06 kg\n Factor of Safety: 0.59\n Max Deflection: 2.67e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.05780427885776, "fos_buckling": 0.5873140464847615, "fos_yielding": 2.83095282424804, "deflection": 0.002670505165737108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_2843", "improvement_over_parent": null }, "node_2845": { "node_id": "node_2845", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n\nPerformance:\n Mass: 147.27 kg\n Factor of Safety: 0.59\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.26723377222584, "fos_buckling": 0.586464804873436, "fos_yielding": 3.576228139306893, "deflection": 0.0024475777944949783, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002968)" }, "parent_node_id": "node_2844", "improvement_over_parent": null }, "node_2846": { "node_id": "node_2846", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 181.10 kg\n Factor of Safety: 0.69\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.10318991977357, "fos_buckling": 0.6929557895960761, "fos_yielding": 4.408026716644, "deflection": 0.0020043811192182043, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_2845", "improvement_over_parent": null }, "node_2847": { "node_id": "node_2847", "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 183.76 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.76439046474877, "fos_buckling": 0.6927553272856806, "fos_yielding": 5.365178812989872, "deflection": 0.0019730197672184653, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.550)" }, "parent_node_id": "node_2846", "improvement_over_parent": null }, "node_2848": { "node_id": "node_2848", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.07457768815172, "fos_buckling": 1.5514385662799428, "fos_yielding": 6.319220741689232, "deflection": 0.0014905873671185311, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2847", "improvement_over_parent": null }, "node_2849": { "node_id": "node_2849", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2848", "improvement_over_parent": null }, "node_2850": { "node_id": "node_2850", "content": "INITIAL DESIGN (Trace 412)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 128.03 kg\n Factor of Safety: 0.64\n Max Deflection: 2.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.0288522992813, "fos_buckling": 0.639541984455608, "fos_yielding": 4.091566261402904, "deflection": 0.0026147594387392324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2851": { "node_id": "node_2851", "content": "MODIFICATION: Increase 13 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 130.80 kg\n Factor of Safety: 0.64\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.79750449085304, "fos_buckling": 0.6391530853304891, "fos_yielding": 4.08907822062044, "deflection": 0.0026155189867154436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.335)" }, "parent_node_id": "node_2850", "improvement_over_parent": null }, "node_2852": { "node_id": "node_2852", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 161.82 kg\n Factor of Safety: 0.77\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.8206393062671, "fos_buckling": 0.7652008750726411, "fos_yielding": 5.027852528414389, "deflection": 0.002122096134597444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_2851", "improvement_over_parent": null }, "node_2853": { "node_id": "node_2853", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n\nPerformance:\n Mass: 165.18 kg\n Factor of Safety: 1.30\n Max Deflection: 1.83e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.17774276473958, "fos_buckling": 1.3042053871589803, "fos_yielding": 5.133633098999226, "deflection": 0.001833398557903006, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001994)" }, "parent_node_id": "node_2852", "improvement_over_parent": null }, "node_2854": { "node_id": "node_2854", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14160394656744, "fos_buckling": 1.5519860690471474, "fos_yielding": 6.319181287055475, "deflection": 0.0014901068403257369, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_2853", "improvement_over_parent": null }, "node_2855": { "node_id": "node_2855", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2854", "improvement_over_parent": null }, "node_2856": { "node_id": "node_2856", "content": "INITIAL DESIGN (Trace 413)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 172.25 kg\n Factor of Safety: 1.14\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.2541625118275, "fos_buckling": 1.143952409023362, "fos_yielding": 4.548955688373084, "deflection": 0.0019093600514288212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2857": { "node_id": "node_2857", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 175.58 kg\n Factor of Safety: 1.38\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.5755350864885, "fos_buckling": 1.3789198067760413, "fos_yielding": 4.442276669999776, "deflection": 0.001766056514693741, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002065)" }, "parent_node_id": "node_2856", "improvement_over_parent": null }, "node_2858": { "node_id": "node_2858", "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 177.05 kg\n Factor of Safety: 1.38\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.04967718739246, "fos_buckling": 1.3820731166835758, "fos_yielding": 5.495848705150886, "deflection": 0.001712825590247075, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.290)" }, "parent_node_id": "node_2857", "improvement_over_parent": null }, "node_2859": { "node_id": "node_2859", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.12556566887827, "fos_buckling": 1.5518825979517434, "fos_yielding": 6.3186733092725085, "deflection": 0.001490247135621021, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.168)" }, "parent_node_id": "node_2858", "improvement_over_parent": null }, "node_2860": { "node_id": "node_2860", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2859", "improvement_over_parent": null }, "node_2861": { "node_id": "node_2861", "content": "INITIAL DESIGN (Trace 414)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 0.81\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.97474979725888, "fos_buckling": 0.8094558390475461, "fos_yielding": 4.37590641191841, "deflection": 0.0024799474453878487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2862": { "node_id": "node_2862", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 161.56 kg\n Factor of Safety: 0.92\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.55742315626736, "fos_buckling": 0.9226567042478795, "fos_yielding": 4.550552421776258, "deflection": 0.0021007729286863543, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002139)" }, "parent_node_id": "node_2861", "improvement_over_parent": null }, "node_2863": { "node_id": "node_2863", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 173.53 kg\n Factor of Safety: 1.20\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.52849884031792, "fos_buckling": 1.2030751424096793, "fos_yielding": 5.03565593252531, "deflection": 0.0017626548405216293, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003213)" }, "parent_node_id": "node_2862", "improvement_over_parent": null }, "node_2864": { "node_id": "node_2864", "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 176.23 kg\n Factor of Safety: 1.21\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.22638743070854, "fos_buckling": 1.2050559125354952, "fos_yielding": 5.043946750349917, "deflection": 0.0017554267608682651, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.212)" }, "parent_node_id": "node_2863", "improvement_over_parent": null }, "node_2865": { "node_id": "node_2865", "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0038)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n\nPerformance:\n Mass: 177.37 kg\n Factor of Safety: 1.27\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.3747097781167, "fos_buckling": 1.265132549383118, "fos_yielding": 5.525586326801914, "deflection": 0.001722499439375204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.241)" }, "parent_node_id": "node_2864", "improvement_over_parent": null }, "node_2866": { "node_id": "node_2866", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0045)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 205.43 kg\n Factor of Safety: 1.43\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.4322297791774, "fos_buckling": 1.428360828439081, "fos_yielding": 6.3797650879942305, "deflection": 0.001491811218275666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_2865", "improvement_over_parent": null }, "node_2867": { "node_id": "node_2867", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2866", "improvement_over_parent": null }, "node_2868": { "node_id": "node_2868", "content": "INITIAL DESIGN (Trace 415)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0010)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 81.62 kg\n Factor of Safety: 0.36\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 81.61926672070405, "fos_buckling": 0.35805523209905143, "fos_yielding": 2.451372838652801, "deflection": 0.004203981443932193, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2869": { "node_id": "node_2869", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 104.46 kg\n Factor of Safety: 0.45\n Max Deflection: 3.29e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 104.45822390845308, "fos_buckling": 0.44727216038367074, "fos_yielding": 3.1293811647237084, "deflection": 0.0032933967993845226, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_2868", "improvement_over_parent": null }, "node_2870": { "node_id": "node_2870", "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 106.00 kg\n Factor of Safety: 0.45\n Max Deflection: 3.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.00046111797059, "fos_buckling": 0.4472721603836707, "fos_yielding": 3.1293811647237084, "deflection": 0.0032723143308682778, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.359)" }, "parent_node_id": "node_2869", "improvement_over_parent": null }, "node_2871": { "node_id": "node_2871", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0021)]\n\nPerformance:\n Mass: 115.14 kg\n Factor of Safety: 0.84\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.13999057491056, "fos_buckling": 0.8363965773314778, "fos_yielding": 3.698230199365596, "deflection": 0.002578642115636255, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002053)" }, "parent_node_id": "node_2870", "improvement_over_parent": null }, "node_2872": { "node_id": "node_2872", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0023)]\n\nPerformance:\n Mass: 129.71 kg\n Factor of Safety: 0.93\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.70556613730446, "fos_buckling": 0.9285955460741777, "fos_yielding": 4.159771039914608, "deflection": 0.0022928709047156143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.134)" }, "parent_node_id": "node_2871", "improvement_over_parent": null }, "node_2873": { "node_id": "node_2873", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 159.61 kg\n Factor of Safety: 1.11\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.6116666606004, "fos_buckling": 1.108401481155602, "fos_yielding": 5.103048585604412, "deflection": 0.001869606114039166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_2872", "improvement_over_parent": null }, "node_2874": { "node_id": "node_2874", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 166.00 kg\n Factor of Safety: 1.31\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.0009686492208, "fos_buckling": 1.3097833470317912, "fos_yielding": 5.1592738080307505, "deflection": 0.0018243722113056064, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002266)" }, "parent_node_id": "node_2873", "improvement_over_parent": null }, "node_2875": { "node_id": "node_2875", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24829397252523, "fos_buckling": 1.552757781902765, "fos_yielding": 6.323008217938956, "deflection": 0.0014892608888831425, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.253)" }, "parent_node_id": "node_2874", "improvement_over_parent": null }, "node_2876": { "node_id": "node_2876", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2875", "improvement_over_parent": null }, "node_2877": { "node_id": "node_2877", "content": "INITIAL DESIGN (Trace 416)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 159.60 kg\n Factor of Safety: 1.25\n Max Deflection: 4.15e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.59631302942748, "fos_buckling": 1.2459084473440867, "fos_yielding": 2.4388050826066276, "deflection": 4146366440536.7417, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2878": { "node_id": "node_2878", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 177.64 kg\n Factor of Safety: 0.83\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 177.63567307010553, "fos_buckling": 0.8258684920430169, "fos_yielding": 5.501931082196794, "deflection": 0.0019368810226064457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003651)" }, "parent_node_id": "node_2877", "improvement_over_parent": null }, "node_2879": { "node_id": "node_2879", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 200.11 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.10584184787268, "fos_buckling": 0.907832544958689, "fos_yielding": 6.170521190887136, "deflection": 0.0017240754174127045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_2878", "improvement_over_parent": null }, "node_2880": { "node_id": "node_2880", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.26 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.25721689479454, "fos_buckling": 1.552673309786993, "fos_yielding": 6.322611969845698, "deflection": 0.0014892907965664741, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2879", "improvement_over_parent": null }, "node_2881": { "node_id": "node_2881", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2880", "improvement_over_parent": null }, "node_2882": { "node_id": "node_2882", "content": "INITIAL DESIGN (Trace 417)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 118.20 kg\n Factor of Safety: 0.03\n Max Deflection: 3.86e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.1992470848235, "fos_buckling": 0.02727184359905103, "fos_yielding": 0.2663182435903467, "deflection": 38555993550517.56, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2883": { "node_id": "node_2883", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 124.05 kg\n Factor of Safety: 0.25\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.04846506527866, "fos_buckling": 0.25084926880298497, "fos_yielding": 2.032514684984419, "deflection": 0.006804990288820879, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002619)" }, "parent_node_id": "node_2882", "improvement_over_parent": null }, "node_2884": { "node_id": "node_2884", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 154.84 kg\n Factor of Safety: 0.30\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.84428742066157, "fos_buckling": 0.3011682557767781, "fos_yielding": 2.5276306696626403, "deflection": 0.005472494359656393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_2883", "improvement_over_parent": null }, "node_2885": { "node_id": "node_2885", "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 158.24 kg\n Factor of Safety: 0.30\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.24333133739788, "fos_buckling": 0.3011115140074833, "fos_yielding": 2.5271544500293643, "deflection": 0.005474352333005883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.217)" }, "parent_node_id": "node_2884", "improvement_over_parent": null }, "node_2886": { "node_id": "node_2886", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 192.10 kg\n Factor of Safety: 0.90\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.10122226576172, "fos_buckling": 0.9047479036262271, "fos_yielding": 4.754348477726356, "deflection": 0.002784324880201725, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2885", "improvement_over_parent": null }, "node_2887": { "node_id": "node_2887", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 196.25 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.25259731268358, "fos_buckling": 1.30528076233313, "fos_yielding": 6.257022068277637, "deflection": 0.0015253828893452505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2886", "improvement_over_parent": null }, "node_2888": { "node_id": "node_2888", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M9: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M10: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M13: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.42\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.11847350109707, "fos_buckling": 1.4187384886827594, "fos_yielding": 6.310993021217668, "deflection": 0.0014993971457968858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2887", "improvement_over_parent": null }, "node_2889": { "node_id": "node_2889", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2888", "improvement_over_parent": null }, "node_2890": { "node_id": "node_2890", "content": "INITIAL DESIGN (Trace 418)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0018)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 101.43 kg\n Factor of Safety: 0.72\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.43464722946462, "fos_buckling": 0.7196462306560093, "fos_yielding": 2.6920190395969263, "deflection": 0.003191417874253822, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2891": { "node_id": "node_2891", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 131.90 kg\n Factor of Safety: 0.91\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.9036577045769, "fos_buckling": 0.9090351477012256, "fos_yielding": 3.488871111782373, "deflection": 0.0024626153728107853, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_2890", "improvement_over_parent": null }, "node_2892": { "node_id": "node_2892", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 152.49 kg\n Factor of Safety: 1.03\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.48795629411902, "fos_buckling": 1.0300978496028506, "fos_yielding": 4.024170228099965, "deflection": 0.0021350830895249056, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_2891", "improvement_over_parent": null }, "node_2893": { "node_id": "node_2893", "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 153.36 kg\n Factor of Safety: 1.03\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.36306354024353, "fos_buckling": 1.0299479119811885, "fos_yielding": 4.02358448324728, "deflection": 0.0021016257581873187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.199)" }, "parent_node_id": "node_2892", "improvement_over_parent": null }, "node_2894": { "node_id": "node_2894", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 178.94 kg\n Factor of Safety: 1.17\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.9412073824445, "fos_buckling": 1.1719369532820925, "fos_yielding": 4.681694226972777, "deflection": 0.0018065814255487061, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.181)" }, "parent_node_id": "node_2893", "improvement_over_parent": null }, "node_2895": { "node_id": "node_2895", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n\nPerformance:\n Mass: 182.36 kg\n Factor of Safety: 1.42\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.36475266637768, "fos_buckling": 1.4162835052518779, "fos_yielding": 5.657818274033432, "deflection": 0.0016639325026133257, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002134)" }, "parent_node_id": "node_2894", "improvement_over_parent": null }, "node_2896": { "node_id": "node_2896", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10615257509832, "fos_buckling": 1.5517901003739931, "fos_yielding": 6.318178123674508, "deflection": 0.001490397443561821, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_2895", "improvement_over_parent": null }, "node_2897": { "node_id": "node_2897", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2896", "improvement_over_parent": null }, "node_2898": { "node_id": "node_2898", "content": "INITIAL DESIGN (Trace 419)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 148.77 kg\n Factor of Safety: 0.54\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.76854086476158, "fos_buckling": 0.5373643508181678, "fos_yielding": 4.482969431082997, "deflection": 0.002306991141825506, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2899": { "node_id": "node_2899", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 179.60 kg\n Factor of Safety: 0.64\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 179.60448293481426, "fos_buckling": 0.6361206344366827, "fos_yielding": 5.411435090666787, "deflection": 0.001916911929448592, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_2898", "improvement_over_parent": null }, "node_2900": { "node_id": "node_2900", "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.57 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.56838396300145, "fos_buckling": 0.9102151138554903, "fos_yielding": 6.186153971019512, "deflection": 0.001722102914297655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.572)" }, "parent_node_id": "node_2899", "improvement_over_parent": null }, "node_2901": { "node_id": "node_2901", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17698973299025, "fos_buckling": 1.5521713448832968, "fos_yielding": 6.320105994802969, "deflection": 0.0014898694553732977, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2900", "improvement_over_parent": null }, "node_2902": { "node_id": "node_2902", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2901", "improvement_over_parent": null }, "node_2903": { "node_id": "node_2903", "content": "INITIAL DESIGN (Trace 420)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 111.72 kg\n Factor of Safety: 0.81\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.72059804932343, "fos_buckling": 0.8143833498167934, "fos_yielding": 3.5894371003728276, "deflection": 0.0026565693041303313, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2904": { "node_id": "node_2904", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 136.43 kg\n Factor of Safety: 0.97\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 136.42755290149728, "fos_buckling": 0.9702141658768744, "fos_yielding": 4.37201213653841, "deflection": 0.0021815992511121677, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_2903", "improvement_over_parent": null }, "node_2905": { "node_id": "node_2905", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n\nPerformance:\n Mass: 141.89 kg\n Factor of Safety: 1.15\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.88938961783074, "fos_buckling": 1.1453811055544143, "fos_yielding": 4.420581272955538, "deflection": 0.0021285509391269263, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001916)" }, "parent_node_id": "node_2904", "improvement_over_parent": null }, "node_2906": { "node_id": "node_2906", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 170.19 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.18637002270978, "fos_buckling": 1.33734034896871, "fos_yielding": 5.286689376719358, "deflection": 0.001780423155896276, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.215)" }, "parent_node_id": "node_2905", "improvement_over_parent": null }, "node_2907": { "node_id": "node_2907", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.43 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.4286561546864, "fos_buckling": 1.5537570531399614, "fos_yielding": 6.328027591129409, "deflection": 0.0014880285114072596, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.221)" }, "parent_node_id": "node_2906", "improvement_over_parent": null }, "node_2908": { "node_id": "node_2908", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2907", "improvement_over_parent": null }, "node_2909": { "node_id": "node_2909", "content": "INITIAL DESIGN (Trace 421)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 147.54 kg\n Factor of Safety: 0.27\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.5355893400518, "fos_buckling": 0.26896053279400833, "fos_yielding": 2.206473734427772, "deflection": 0.005061963517466696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2910": { "node_id": "node_2910", "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 148.61 kg\n Factor of Safety: 0.27\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.6111290635429, "fos_buckling": 0.26892843693023655, "fos_yielding": 2.2062104293262372, "deflection": 0.0050624140852186415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.198)" }, "parent_node_id": "node_2909", "improvement_over_parent": null }, "node_2911": { "node_id": "node_2911", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.25 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.2548745704205, "fos_buckling": 0.3004929851194546, "fos_yielding": 2.521645405264759, "deflection": 0.004429050945104922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_2910", "improvement_over_parent": null }, "node_2912": { "node_id": "node_2912", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11276549878434, "fos_buckling": 1.551916348128229, "fos_yielding": 6.321461502612465, "deflection": 0.001490181244264396, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2911", "improvement_over_parent": null }, "node_2913": { "node_id": "node_2913", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2912", "improvement_over_parent": null }, "node_2914": { "node_id": "node_2914", "content": "INITIAL DESIGN (Trace 422)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 120.43 kg\n Factor of Safety: 0.66\n Max Deflection: 2.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.43098381647995, "fos_buckling": 0.6567475069573575, "fos_yielding": 4.2146065973684825, "deflection": 0.0025969854788383353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2915": { "node_id": "node_2915", "content": "MODIFICATION: Increase 12 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 123.13 kg\n Factor of Safety: 0.66\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.13047400421293, "fos_buckling": 0.6561622556573934, "fos_yielding": 4.2108508100014665, "deflection": 0.0025610077519544177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.368)" }, "parent_node_id": "node_2914", "improvement_over_parent": null }, "node_2916": { "node_id": "node_2916", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 138.46 kg\n Factor of Safety: 0.73\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.4598515497396, "fos_buckling": 0.7250804263957593, "fos_yielding": 4.720288769586889, "deflection": 0.0022818218556988528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.133)" }, "parent_node_id": "node_2915", "improvement_over_parent": null }, "node_2917": { "node_id": "node_2917", "content": "MODIFICATION: Increase 13 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 140.97 kg\n Factor of Safety: 0.72\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.96898623039237, "fos_buckling": 0.7244821375890235, "fos_yielding": 4.716393896918154, "deflection": 0.002266509648423355, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.198)" }, "parent_node_id": "node_2916", "improvement_over_parent": null }, "node_2918": { "node_id": "node_2918", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 154.26 kg\n Factor of Safety: 1.23\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.26036570738924, "fos_buckling": 1.2308453527465568, "fos_yielding": 4.800181296575972, "deflection": 0.0019605728680595434, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002853)" }, "parent_node_id": "node_2917", "improvement_over_parent": null }, "node_2919": { "node_id": "node_2919", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 173.54 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.5366709986182, "fos_buckling": 1.3593596212682535, "fos_yielding": 5.38926392865506, "deflection": 0.0017466612768921763, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.135)" }, "parent_node_id": "node_2918", "improvement_over_parent": null }, "node_2920": { "node_id": "node_2920", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.34 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.3419254771732, "fos_buckling": 1.55331771219547, "fos_yielding": 6.325818199664921, "deflection": 0.0014885945186442313, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.195)" }, "parent_node_id": "node_2919", "improvement_over_parent": null }, "node_2921": { "node_id": "node_2921", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2920", "improvement_over_parent": null }, "node_2922": { "node_id": "node_2922", "content": "INITIAL DESIGN (Trace 423)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 159.69 kg\n Factor of Safety: 0.34\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.68948337013595, "fos_buckling": 0.33883697565633575, "fos_yielding": 2.739908036915129, "deflection": 0.005030101226831654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2923": { "node_id": "node_2923", "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 164.15 kg\n Factor of Safety: 0.44\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.1457891955838, "fos_buckling": 0.43630812807414354, "fos_yielding": 2.931553056997145, "deflection": 0.00483622486737863, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.362)" }, "parent_node_id": "node_2922", "improvement_over_parent": null }, "node_2924": { "node_id": "node_2924", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n\nPerformance:\n Mass: 170.23 kg\n Factor of Safety: 1.34\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.22684928261515, "fos_buckling": 1.337540998882631, "fos_yielding": 5.2876131032643325, "deflection": 0.0017800864375227766, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002731)" }, "parent_node_id": "node_2923", "improvement_over_parent": null }, "node_2925": { "node_id": "node_2925", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.32413504917722, "fos_buckling": 1.5530516464851678, "fos_yielding": 6.324493673982689, "deflection": 0.0014888365099635951, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2924", "improvement_over_parent": null }, "node_2926": { "node_id": "node_2926", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2925", "improvement_over_parent": null }, "node_2927": { "node_id": "node_2927", "content": "INITIAL DESIGN (Trace 424)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 102.56 kg\n Factor of Safety: 0.56\n Max Deflection: 3.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 102.56088425692332, "fos_buckling": 0.5567822214701232, "fos_yielding": 3.4678165007307706, "deflection": 0.0030736808732659683, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2928": { "node_id": "node_2928", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 123.09 kg\n Factor of Safety: 0.65\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.08973040912318, "fos_buckling": 0.6530126348214975, "fos_yielding": 4.152550253735799, "deflection": 0.002567784066312045, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.212)" }, "parent_node_id": "node_2927", "improvement_over_parent": null }, "node_2929": { "node_id": "node_2929", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 149.10 kg\n Factor of Safety: 0.77\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.09789470908208, "fos_buckling": 0.7678624186383283, "fos_yielding": 5.015630039612184, "deflection": 0.0021269161824737214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_2928", "improvement_over_parent": null }, "node_2930": { "node_id": "node_2930", "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 149.74 kg\n Factor of Safety: 0.77\n Max Deflection: 2.12e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.74280948463945, "fos_buckling": 0.7678082441040625, "fos_yielding": 5.043535458767799, "deflection": 0.002122960581716254, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.282)" }, "parent_node_id": "node_2929", "improvement_over_parent": null }, "node_2931": { "node_id": "node_2931", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.96 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.95691443506246, "fos_buckling": 0.910378285746463, "fos_yielding": 6.1881534071290725, "deflection": 0.001726429803562726, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_2930", "improvement_over_parent": null }, "node_2932": { "node_id": "node_2932", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 202.57 kg\n Factor of Safety: 1.54\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.56552020505126, "fos_buckling": 1.5389492932349362, "fos_yielding": 6.266647342078292, "deflection": 0.0014948483476826117, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_2931", "improvement_over_parent": null }, "node_2933": { "node_id": "node_2933", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.24 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2363992755798, "fos_buckling": 1.5525816047585728, "fos_yielding": 6.322158520485221, "deflection": 0.001489410719006754, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.212)" }, "parent_node_id": "node_2932", "improvement_over_parent": null }, "node_2934": { "node_id": "node_2934", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2933", "improvement_over_parent": null }, "node_2935": { "node_id": "node_2935", "content": "INITIAL DESIGN (Trace 425)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 132.81 kg\n Factor of Safety: 0.17\n Max Deflection: 1.44e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.81481181863205, "fos_buckling": 0.16806573017816492, "fos_yielding": 0.7350690453803445, "deflection": 14416752058036.537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2936": { "node_id": "node_2936", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 149.06 kg\n Factor of Safety: 0.30\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.06015805962915, "fos_buckling": 0.30164226609611183, "fos_yielding": 2.5314505992697076, "deflection": 0.00534543758759577, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_2935", "improvement_over_parent": null }, "node_2937": { "node_id": "node_2937", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 182.92 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.918048987993, "fos_buckling": 0.9170692572565686, "fos_yielding": 4.80231054478673, "deflection": 0.0019481383449790545, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2936", "improvement_over_parent": null }, "node_2938": { "node_id": "node_2938", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1664404949096, "fos_buckling": 1.5520454371296293, "fos_yielding": 6.319994243135609, "deflection": 0.0014899394282869582, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2937", "improvement_over_parent": null }, "node_2939": { "node_id": "node_2939", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2938", "improvement_over_parent": null }, "node_2940": { "node_id": "node_2940", "content": "INITIAL DESIGN (Trace 426)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 100.53 kg\n Factor of Safety: 0.04\n Max Deflection: 3.31e+13 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.53002630421967, "fos_buckling": 0.04404379641750793, "fos_yielding": 0.38317163724152525, "deflection": 33117130529956.027, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2941": { "node_id": "node_2941", "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 101.71 kg\n Factor of Safety: 0.18\n Max Deflection: 4.04e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.70519519309451, "fos_buckling": 0.18243527753712238, "fos_yielding": 2.069769911634613, "deflection": 4039310497372.2837, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.282)" }, "parent_node_id": "node_2940", "improvement_over_parent": null }, "node_2942": { "node_id": "node_2942", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 112.24 kg\n Factor of Safety: 0.42\n Max Deflection: 2.59e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.23663902885755, "fos_buckling": 0.4167964762998255, "fos_yielding": 2.946647965585824, "deflection": 2589500777971.2812, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.111)" }, "parent_node_id": "node_2941", "improvement_over_parent": null }, "node_2943": { "node_id": "node_2943", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 144.55 kg\n Factor of Safety: 0.04\n Max Deflection: 4.56e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.54908448251365, "fos_buckling": 0.04329555467440774, "fos_yielding": 0.38808185843149, "deflection": 45636576653522.734, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_2942", "improvement_over_parent": null }, "node_2944": { "node_id": "node_2944", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 164.86 kg\n Factor of Safety: 0.61\n Max Deflection: 3.69e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.8592717059166, "fos_buckling": 0.6138990533828791, "fos_yielding": 3.545401926022027, "deflection": 0.0036938368494517453, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_2943", "improvement_over_parent": null }, "node_2945": { "node_id": "node_2945", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 178.73 kg\n Factor of Safety: 0.91\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.72962957687446, "fos_buckling": 0.9137594135210864, "fos_yielding": 4.801976891866782, "deflection": 0.0020519265418291097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2944", "improvement_over_parent": null }, "node_2946": { "node_id": "node_2946", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 199.98 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.97802108379108, "fos_buckling": 0.9074498325404966, "fos_yielding": 6.166162381661689, "deflection": 0.0017251266798661987, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2945", "improvement_over_parent": null }, "node_2947": { "node_id": "node_2947", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.12939613071293, "fos_buckling": 1.5517669160710308, "fos_yielding": 6.320576830203363, "deflection": 0.001490192872492465, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2946", "improvement_over_parent": null }, "node_2948": { "node_id": "node_2948", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2947", "improvement_over_parent": null }, "node_2949": { "node_id": "node_2949", "content": "INITIAL DESIGN (Trace 427)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 131.10 kg\n Factor of Safety: 0.19\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.101374487829, "fos_buckling": 0.19433256515532804, "fos_yielding": 1.521326781441056, "deflection": 0.006800582719280275, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2950": { "node_id": "node_2950", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 137.66 kg\n Factor of Safety: 0.19\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.66053031474476, "fos_buckling": 0.19419099789619673, "fos_yielding": 1.5202185263088317, "deflection": 0.005909053319880762, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002331)" }, "parent_node_id": "node_2949", "improvement_over_parent": null }, "node_2951": { "node_id": "node_2951", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 165.25 kg\n Factor of Safety: 0.23\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.24824213210692, "fos_buckling": 0.22869896575874255, "fos_yielding": 1.8284961532123458, "deflection": 0.004934272389121877, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.220)" }, "parent_node_id": "node_2950", "improvement_over_parent": null }, "node_2952": { "node_id": "node_2952", "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 166.31 kg\n Factor of Safety: 0.30\n Max Deflection: 4.73e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.30574880107864, "fos_buckling": 0.30081119974285425, "fos_yielding": 2.524788245389111, "deflection": 0.00472909033415742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.418)" }, "parent_node_id": "node_2951", "improvement_over_parent": null }, "node_2953": { "node_id": "node_2953", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 200.16 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.16363972944248, "fos_buckling": 0.9081044706403942, "fos_yielding": 6.173291346803186, "deflection": 0.0017237337580073126, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_2952", "improvement_over_parent": null }, "node_2954": { "node_id": "node_2954", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.31501477636434, "fos_buckling": 1.5522171053664848, "fos_yielding": 6.326330000918907, "deflection": 0.0014890378162081546, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_2953", "improvement_over_parent": null }, "node_2955": { "node_id": "node_2955", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2954", "improvement_over_parent": null }, "node_2956": { "node_id": "node_2956", "content": "INITIAL DESIGN (Trace 428)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 112.23 kg\n Factor of Safety: 0.72\n Max Deflection: 2.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.23466475534741, "fos_buckling": 0.7224000318497998, "fos_yielding": 3.440477716755409, "deflection": 0.002584818186650642, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2957": { "node_id": "node_2957", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n\nPerformance:\n Mass: 122.82 kg\n Factor of Safety: 0.69\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.82325798265977, "fos_buckling": 0.6864985918424301, "fos_yielding": 4.110926468858755, "deflection": 0.0024089503056229527, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002344)" }, "parent_node_id": "node_2956", "improvement_over_parent": null }, "node_2958": { "node_id": "node_2958", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 149.43 kg\n Factor of Safety: 0.82\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.43291373006875, "fos_buckling": 0.8183546454293295, "fos_yielding": 4.985471173625094, "deflection": 0.0019859277757826805, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_2957", "improvement_over_parent": null }, "node_2959": { "node_id": "node_2959", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 188.89 kg\n Factor of Safety: 1.00\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.8894177881121, "fos_buckling": 1.0031313052029633, "fos_yielding": 6.271636086414575, "deflection": 0.0015780549613594224, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_2958", "improvement_over_parent": null }, "node_2960": { "node_id": "node_2960", "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0064)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 198.02 kg\n Factor of Safety: 0.97\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.02111648278435, "fos_buckling": 0.966033306003187, "fos_yielding": 6.273889238254591, "deflection": 0.001558335755988108, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.497)" }, "parent_node_id": "node_2959", "improvement_over_parent": null }, "node_2961": { "node_id": "node_2961", "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0064)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 200.79 kg\n Factor of Safety: 1.18\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.79483295092942, "fos_buckling": 1.1836742591898812, "fos_yielding": 6.287188608253625, "deflection": 0.001533141016878655, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.362)" }, "parent_node_id": "node_2960", "improvement_over_parent": null }, "node_2962": { "node_id": "node_2962", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0064)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 208.66 kg\n Factor of Safety: 1.53\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.6607091393429, "fos_buckling": 1.5301489165192188, "fos_yielding": 6.0708669315323815, "deflection": 0.0014687006634389209, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_2961", "improvement_over_parent": null }, "node_2963": { "node_id": "node_2963", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2962", "improvement_over_parent": null }, "node_2964": { "node_id": "node_2964", "content": "INITIAL DESIGN (Trace 429)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 100.86 kg\n Factor of Safety: 0.22\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.8562676413818, "fos_buckling": 0.221036220207944, "fos_yielding": 2.013977279230448, "deflection": 0.007808588613909922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2965": { "node_id": "node_2965", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 114.33 kg\n Factor of Safety: 0.25\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.33463094037657, "fos_buckling": 0.24653745649910433, "fos_yielding": 2.279548748020549, "deflection": 0.006896215626499953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_2964", "improvement_over_parent": null }, "node_2966": { "node_id": "node_2966", "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 115.65 kg\n Factor of Safety: 0.28\n Max Deflection: 6.72e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.64732379235915, "fos_buckling": 0.2766115515810242, "fos_yielding": 2.2795487480205496, "deflection": 0.006719554940462415, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.179)" }, "parent_node_id": "node_2965", "improvement_over_parent": null }, "node_2967": { "node_id": "node_2967", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 133.90 kg\n Factor of Safety: 0.28\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.8957884062716, "fos_buckling": 0.2763307642354696, "fos_yielding": 2.2772347866608, "deflection": 0.005943568918233737, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003697)" }, "parent_node_id": "node_2966", "improvement_over_parent": null }, "node_2968": { "node_id": "node_2968", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n\nPerformance:\n Mass: 152.99 kg\n Factor of Safety: 0.28\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.989512151125, "fos_buckling": 0.2754530757428686, "fos_yielding": 2.270001778158353, "deflection": 0.004919832444102623, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003782)" }, "parent_node_id": "node_2967", "improvement_over_parent": null }, "node_2969": { "node_id": "node_2969", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n\nPerformance:\n Mass: 183.41 kg\n Factor of Safety: 1.42\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.414159358703, "fos_buckling": 1.4231398824828874, "fos_yielding": 5.688627624253548, "deflection": 0.0016545491334935035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004774)" }, "parent_node_id": "node_2968", "improvement_over_parent": null }, "node_2970": { "node_id": "node_2970", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.11114558048143, "fos_buckling": 1.5519793292135469, "fos_yielding": 6.3170869345949825, "deflection": 0.0014903065171845207, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_2969", "improvement_over_parent": null }, "node_2971": { "node_id": "node_2971", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2970", "improvement_over_parent": null }, "node_2972": { "node_id": "node_2972", "content": "INITIAL DESIGN (Trace 430)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 142.73 kg\n Factor of Safety: 0.83\n Max Deflection: 2.38e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.72587177380328, "fos_buckling": 0.8256144895424636, "fos_yielding": 3.958327437175207, "deflection": 0.0023772742363756512, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2973": { "node_id": "node_2973", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 143.22 kg\n Factor of Safety: 0.82\n Max Deflection: 2.37e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.22238490549844, "fos_buckling": 0.8243694635572826, "fos_yielding": 3.961225403047649, "deflection": 0.0023692971470598624, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.202)" }, "parent_node_id": "node_2972", "improvement_over_parent": null }, "node_2974": { "node_id": "node_2974", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 170.66 kg\n Factor of Safety: 0.96\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.6649756379685, "fos_buckling": 0.9586726985862671, "fos_yielding": 4.710823200002382, "deflection": 0.0019928744715907894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_2973", "improvement_over_parent": null }, "node_2975": { "node_id": "node_2975", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.23 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.23435171163462, "fos_buckling": 1.0497714982034982, "fos_yielding": 5.243541051790606, "deflection": 0.0017907822460074291, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.126)" }, "parent_node_id": "node_2974", "improvement_over_parent": null }, "node_2976": { "node_id": "node_2976", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.10 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.10470958259248, "fos_buckling": 1.5517500704524085, "fos_yielding": 6.3179694743689225, "deflection": 0.001490383173435607, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2975", "improvement_over_parent": null }, "node_2977": { "node_id": "node_2977", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2976", "improvement_over_parent": null }, "node_2978": { "node_id": "node_2978", "content": "INITIAL DESIGN (Trace 431)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.70 kg\n Factor of Safety: 0.95\n Max Deflection: 1.96e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.6970666300976, "fos_buckling": 0.9451763278250257, "fos_yielding": 4.803234245914168, "deflection": 0.0019570827281919704, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2979": { "node_id": "node_2979", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 199.95 kg\n Factor of Safety: 1.20\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.9454581370142, "fos_buckling": 1.2037695646807969, "fos_yielding": 6.128551656075153, "deflection": 0.0015089279766385042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_2978", "improvement_over_parent": null }, "node_2980": { "node_id": "node_2980", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.64 kg\n Factor of Safety: 1.48\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.6418139716115, "fos_buckling": 1.480016323071458, "fos_yielding": 6.182729478224015, "deflection": 0.0015034460321860371, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.355)" }, "parent_node_id": "node_2979", "improvement_over_parent": null }, "node_2981": { "node_id": "node_2981", "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 201.68 kg\n Factor of Safety: 1.46\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.6833605681622, "fos_buckling": 1.4591810609636067, "fos_yielding": 6.231685720600677, "deflection": 0.0014986151138509144, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.410)" }, "parent_node_id": "node_2980", "improvement_over_parent": null }, "node_2982": { "node_id": "node_2982", "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1698947970438, "fos_buckling": 1.5521433178019846, "fos_yielding": 6.319965347114814, "deflection": 0.0014899160782514715, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.348)" }, "parent_node_id": "node_2981", "improvement_over_parent": null }, "node_2983": { "node_id": "node_2983", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2982", "improvement_over_parent": null }, "node_2984": { "node_id": "node_2984", "content": "INITIAL DESIGN (Trace 432)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 91.13 kg\n Factor of Safety: 0.53\n Max Deflection: 4.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 91.12887673535971, "fos_buckling": 0.5337241456134214, "fos_yielding": 2.6909526797961605, "deflection": 0.0040223729777837435, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2985": { "node_id": "node_2985", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n\nPerformance:\n Mass: 100.47 kg\n Factor of Safety: 0.60\n Max Deflection: 3.36e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.4698174289028, "fos_buckling": 0.6015662387712555, "fos_yielding": 2.8028220702078213, "deflection": 0.003360722774676582, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001965)" }, "parent_node_id": "node_2984", "improvement_over_parent": null }, "node_2986": { "node_id": "node_2986", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 127.39 kg\n Factor of Safety: 0.75\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.39128071254653, "fos_buckling": 0.7453099736258744, "fos_yielding": 3.546666785163204, "deflection": 0.002656554965566432, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_2985", "improvement_over_parent": null }, "node_2987": { "node_id": "node_2987", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 147.72 kg\n Factor of Safety: 0.85\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.71585383239506, "fos_buckling": 0.8489251881125962, "fos_yielding": 4.1062382500512, "deflection": 0.0022949726908211114, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.171)" }, "parent_node_id": "node_2986", "improvement_over_parent": null }, "node_2988": { "node_id": "node_2988", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 148.40 kg\n Factor of Safety: 0.85\n Max Deflection: 2.29e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.40295805697775, "fos_buckling": 0.8503075525613457, "fos_yielding": 4.102993742255444, "deflection": 0.0022875754837169376, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.242)" }, "parent_node_id": "node_2987", "improvement_over_parent": null }, "node_2989": { "node_id": "node_2989", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 190.45 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.44540950015906, "fos_buckling": 1.0507317812242845, "fos_yielding": 5.2493171973122505, "deflection": 0.0017888281791438334, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_2988", "improvement_over_parent": null }, "node_2990": { "node_id": "node_2990", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.31576737111692, "fos_buckling": 1.5530382192240024, "fos_yielding": 6.324484733112362, "deflection": 0.001488865878380065, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_2989", "improvement_over_parent": null }, "node_2991": { "node_id": "node_2991", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2990", "improvement_over_parent": null }, "node_2992": { "node_id": "node_2992", "content": "INITIAL DESIGN (Trace 433)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 156.98 kg\n Factor of Safety: 0.91\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.98003372747283, "fos_buckling": 0.9135696295872413, "fos_yielding": 4.432538034300082, "deflection": 0.002128413762953524, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2993": { "node_id": "node_2993", "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 0.91\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.9303978519482, "fos_buckling": 0.9110543541022005, "fos_yielding": 4.438449762259347, "deflection": 0.0021146381991693454, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.401)" }, "parent_node_id": "node_2992", "improvement_over_parent": null }, "node_2994": { "node_id": "node_2994", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 169.64 kg\n Factor of Safety: 1.19\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.64288629247392, "fos_buckling": 1.1874794495041463, "fos_yielding": 5.248799354766078, "deflection": 0.0017724924268575663, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003138)" }, "parent_node_id": "node_2993", "improvement_over_parent": null }, "node_2995": { "node_id": "node_2995", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 172.42 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.4216049867791, "fos_buckling": 1.3519530865839589, "fos_yielding": 5.354657583819447, "deflection": 0.0017578751062363321, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.504)" }, "parent_node_id": "node_2994", "improvement_over_parent": null }, "node_2996": { "node_id": "node_2996", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13277429825632, "fos_buckling": 1.5519166758044425, "fos_yielding": 6.318793470060509, "deflection": 0.0014902027847661689, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_2995", "improvement_over_parent": null }, "node_2997": { "node_id": "node_2997", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_2996", "improvement_over_parent": null }, "node_2998": { "node_id": "node_2998", "content": "INITIAL DESIGN (Trace 434)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_2999": { "node_id": "node_2999", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n\nPerformance:\n Mass: 135.79 kg\n Factor of Safety: 0.86\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.78983809770997, "fos_buckling": 0.8567323491951111, "fos_yielding": 4.220403586005876, "deflection": 0.002256233700020105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002964)" }, "parent_node_id": "node_2998", "improvement_over_parent": null }, "node_3000": { "node_id": "node_3000", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n\nPerformance:\n Mass: 145.63 kg\n Factor of Safety: 0.86\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.62847477518287, "fos_buckling": 0.8557841305420198, "fos_yielding": 4.255008965251439, "deflection": 0.002051711301879579, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002169)" }, "parent_node_id": "node_2999", "improvement_over_parent": null }, "node_3001": { "node_id": "node_3001", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 158.12 kg\n Factor of Safety: 1.27\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.11794801168088, "fos_buckling": 1.2697267474191625, "fos_yielding": 4.990878346696661, "deflection": 0.0018772979522774748, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002861)" }, "parent_node_id": "node_3000", "improvement_over_parent": null }, "node_3002": { "node_id": "node_3002", "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 159.98 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.98324968481444, "fos_buckling": 1.2841907438460995, "fos_yielding": 5.047731560760729, "deflection": 0.0018687302755878848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.202)" }, "parent_node_id": "node_3001", "improvement_over_parent": null }, "node_3003": { "node_id": "node_3003", "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 163.77 kg\n Factor of Safety: 1.28\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.7707103775063, "fos_buckling": 1.284876587532039, "fos_yielding": 5.050427386778676, "deflection": 0.0018497053153584992, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.346)" }, "parent_node_id": "node_3002", "improvement_over_parent": null }, "node_3004": { "node_id": "node_3004", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0043)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.54\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.33025922123156, "fos_buckling": 1.5416178966423457, "fos_yielding": 6.276409682605861, "deflection": 0.0014893663496381646, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.272)" }, "parent_node_id": "node_3003", "improvement_over_parent": null }, "node_3005": { "node_id": "node_3005", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3004", "improvement_over_parent": null }, "node_3006": { "node_id": "node_3006", "content": "INITIAL DESIGN (Trace 435)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 123.04 kg\n Factor of Safety: 0.21\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.03962962031916, "fos_buckling": 0.21231721149211863, "fos_yielding": 1.9774815944861492, "deflection": 0.006570042456590444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3007": { "node_id": "node_3007", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 157.82 kg\n Factor of Safety: 0.26\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.81600922048005, "fos_buckling": 0.2632368922087992, "fos_yielding": 2.524485461772217, "deflection": 0.00513784340809806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3006", "improvement_over_parent": null }, "node_3008": { "node_id": "node_3008", "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 160.01 kg\n Factor of Safety: 0.26\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.0110747531354, "fos_buckling": 0.26314134642000253, "fos_yielding": 2.5235647893083137, "deflection": 0.005071780264117153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.412)" }, "parent_node_id": "node_3007", "improvement_over_parent": null }, "node_3009": { "node_id": "node_3009", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 164.16 kg\n Factor of Safety: 0.26\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.16244980005726, "fos_buckling": 0.2630811490176791, "fos_yielding": 2.52298473303491, "deflection": 0.004651679981975769, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3008", "improvement_over_parent": null }, "node_3010": { "node_id": "node_3010", "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 169.68 kg\n Factor of Safety: 0.26\n Max Deflection: 4.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.68283411437082, "fos_buckling": 0.2630811490176791, "fos_yielding": 2.52298473303491, "deflection": 0.004627788645268068, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.577)" }, "parent_node_id": "node_3009", "improvement_over_parent": null }, "node_3011": { "node_id": "node_3011", "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 172.30 kg\n Factor of Safety: 0.26\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.29865863981942, "fos_buckling": 0.26292954710533006, "fos_yielding": 2.521523917465305, "deflection": 0.00450171697000557, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.212)" }, "parent_node_id": "node_3010", "improvement_over_parent": null }, "node_3012": { "node_id": "node_3012", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 206.16 kg\n Factor of Safety: 1.41\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.15654956818327, "fos_buckling": 1.407161721851749, "fos_yielding": 6.317303532302025, "deflection": 0.0014891178732140175, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_3011", "improvement_over_parent": null }, "node_3013": { "node_id": "node_3013", "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0046)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 207.89 kg\n Factor of Safety: 1.48\n Max Deflection: 1.47e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.8881401284677, "fos_buckling": 1.4817249628948892, "fos_yielding": 6.3119941238084225, "deflection": 0.0014724160336805979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.621)" }, "parent_node_id": "node_3012", "improvement_over_parent": null }, "node_3014": { "node_id": "node_3014", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3013", "improvement_over_parent": null }, "node_3015": { "node_id": "node_3015", "content": "INITIAL DESIGN (Trace 436)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0013)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n\nPerformance:\n Mass: 101.24 kg\n Factor of Safety: 0.26\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.2449473318517, "fos_buckling": 0.263842778506906, "fos_yielding": 1.4033065399248423, "deflection": 0.007667916128869648, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3016": { "node_id": "node_3016", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 122.85 kg\n Factor of Safety: 0.31\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.85490053103828, "fos_buckling": 0.3147488583320882, "fos_yielding": 1.70425100161269, "deflection": 0.0063376792132142186, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3015", "improvement_over_parent": null }, "node_3017": { "node_id": "node_3017", "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 124.81 kg\n Factor of Safety: 0.31\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.81240667305732, "fos_buckling": 0.31464609087827594, "fos_yielding": 2.5224858481462884, "deflection": 0.005938116230768034, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.538)" }, "parent_node_id": "node_3016", "improvement_over_parent": null }, "node_3018": { "node_id": "node_3018", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 144.97 kg\n Factor of Safety: 0.36\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.97109609308933, "fos_buckling": 0.3597288966065036, "fos_yielding": 2.9300705677677197, "deflection": 0.005129786032913274, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_3017", "improvement_over_parent": null }, "node_3019": { "node_id": "node_3019", "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n Mass: 148.68 kg\n Factor of Safety: 0.44\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.67715228599744, "fos_buckling": 0.4400330495974928, "fos_yielding": 2.9666080862856936, "deflection": 0.004980936613719611, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.282)" }, "parent_node_id": "node_3018", "improvement_over_parent": null }, "node_3020": { "node_id": "node_3020", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 165.78 kg\n Factor of Safety: 0.44\n Max Deflection: 4.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.7837274350624, "fos_buckling": 0.4396161163803751, "fos_yielding": 2.961014376477769, "deflection": 0.004789776845717501, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003447)" }, "parent_node_id": "node_3019", "improvement_over_parent": null }, "node_3021": { "node_id": "node_3021", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.8779114115779, "fos_buckling": 0.5059599344558915, "fos_yielding": 3.5016109742909047, "deflection": 0.004054270596842858, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_3020", "improvement_over_parent": null }, "node_3022": { "node_id": "node_3022", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17343746478087, "fos_buckling": 1.5522062315336802, "fos_yielding": 6.320288161746004, "deflection": 0.0014898299764113732, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3021", "improvement_over_parent": null }, "node_3023": { "node_id": "node_3023", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3022", "improvement_over_parent": null }, "node_3024": { "node_id": "node_3024", "content": "INITIAL DESIGN (Trace 437)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0008)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0015)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0015)]\n\nPerformance:\n Mass: 62.28 kg\n Factor of Safety: 0.09\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 62.28021954998047, "fos_buckling": 0.09314858312807216, "fos_yielding": 0.831991185957647, "deflection": 0.012790066210029682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3025": { "node_id": "node_3025", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0010)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0019)]\n\nPerformance:\n Mass: 79.35 kg\n Factor of Safety: 0.12\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.35103127522561, "fos_buckling": 0.11730143023087572, "fos_yielding": 1.0601611394554076, "deflection": 0.01005143398490621, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.285)" }, "parent_node_id": "node_3024", "improvement_over_parent": null }, "node_3026": { "node_id": "node_3026", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 98.68 kg\n Factor of Safety: 0.14\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 98.68045320631747, "fos_buckling": 0.14393716312155033, "fos_yielding": 1.318723925343581, "deflection": 0.008094102408960163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_3025", "improvement_over_parent": null }, "node_3027": { "node_id": "node_3027", "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 100.39 kg\n Factor of Safety: 0.19\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 100.39346177781961, "fos_buckling": 0.19174473732160324, "fos_yielding": 1.498254900234486, "deflection": 0.007455473672146622, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.412)" }, "parent_node_id": "node_3026", "improvement_over_parent": null }, "node_3028": { "node_id": "node_3028", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 122.54 kg\n Factor of Safety: 0.23\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.54051523935777, "fos_buckling": 0.2283862283759367, "fos_yielding": 1.8243980916633358, "deflection": 0.006122526507884252, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3027", "improvement_over_parent": null }, "node_3029": { "node_id": "node_3029", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 139.72 kg\n Factor of Safety: 0.26\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.72392480311794, "fos_buckling": 0.2554278265174058, "fos_yielding": 2.076372139967024, "deflection": 0.005379437102216337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.151)" }, "parent_node_id": "node_3028", "improvement_over_parent": null }, "node_3030": { "node_id": "node_3030", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.39 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3876461176147, "fos_buckling": 0.3006934773792324, "fos_yielding": 2.523706327828743, "deflection": 0.0044257666456019844, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.241)" }, "parent_node_id": "node_3029", "improvement_over_parent": null }, "node_3031": { "node_id": "node_3031", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.24553704597855, "fos_buckling": 1.5521193745401594, "fos_yielding": 6.323325369283927, "deflection": 0.001489452218544764, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_3030", "improvement_over_parent": null }, "node_3032": { "node_id": "node_3032", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3031", "improvement_over_parent": null }, "node_3033": { "node_id": "node_3033", "content": "INITIAL DESIGN (Trace 438)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0025)]\n\nPerformance:\n Mass: 121.07 kg\n Factor of Safety: 0.87\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 121.07239051120537, "fos_buckling": 0.8743832241981689, "fos_yielding": 3.886120690602904, "deflection": 0.002453988244433595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3034": { "node_id": "node_3034", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 155.38 kg\n Factor of Safety: 1.08\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.37513529716693, "fos_buckling": 1.0838916887092755, "fos_yielding": 4.96945240717583, "deflection": 0.0019196889723355978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.304)" }, "parent_node_id": "node_3033", "improvement_over_parent": null }, "node_3035": { "node_id": "node_3035", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.28 kg\n Factor of Safety: 1.31\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.27853953313615, "fos_buckling": 1.3073152772858667, "fos_yielding": 6.251233186512747, "deflection": 0.001526693574915859, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_3034", "improvement_over_parent": null }, "node_3036": { "node_id": "node_3036", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.14441572154965, "fos_buckling": 1.5519910220051019, "fos_yielding": 6.319205311015164, "deflection": 0.001490093192745731, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_3035", "improvement_over_parent": null }, "node_3037": { "node_id": "node_3037", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3036", "improvement_over_parent": null }, "node_3038": { "node_id": "node_3038", "content": "INITIAL DESIGN (Trace 439)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n Mass: 79.68 kg\n Factor of Safety: 0.29\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.67981816032594, "fos_buckling": 0.28813639000197716, "fos_yielding": 2.0026015679514804, "deflection": 0.004542634820896686, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3039": { "node_id": "node_3039", "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n Mass: 79.97 kg\n Factor of Safety: 0.34\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 79.96951358788067, "fos_buckling": 0.3392673189618139, "fos_yielding": 2.3849055762293343, "deflection": 0.004433802812947273, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.198)" }, "parent_node_id": "node_3038", "improvement_over_parent": null }, "node_3040": { "node_id": "node_3040", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0015)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 88.80 kg\n Factor of Safety: 0.75\n Max Deflection: 3.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.8030965176616, "fos_buckling": 0.752819370962757, "fos_yielding": 2.7818479757314796, "deflection": 0.0033802824888753136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001716)" }, "parent_node_id": "node_3039", "improvement_over_parent": null }, "node_3041": { "node_id": "node_3041", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0028)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 110.69 kg\n Factor of Safety: 0.92\n Max Deflection: 2.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.68720083561229, "fos_buckling": 0.9197851069055367, "fos_yielding": 3.4595101388683345, "deflection": 0.00271884397036018, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.258)" }, "parent_node_id": "node_3040", "improvement_over_parent": null }, "node_3042": { "node_id": "node_3042", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 144.81 kg\n Factor of Safety: 1.17\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.81116260652013, "fos_buckling": 1.1657149600918157, "fos_yielding": 4.510067073742946, "deflection": 0.0020863648068002462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.328)" }, "parent_node_id": "node_3041", "improvement_over_parent": null }, "node_3043": { "node_id": "node_3043", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.54 kg\n Factor of Safety: 1.29\n Max Deflection: 1.85e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.54159588581769, "fos_buckling": 1.2932924164449604, "fos_yielding": 5.0835636258577805, "deflection": 0.0018513994829958422, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_3042", "improvement_over_parent": null }, "node_3044": { "node_id": "node_3044", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.91 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.91470746480718, "fos_buckling": 1.550589408257215, "fos_yielding": 6.312210877161475, "deflection": 0.0014917315965494947, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_3043", "improvement_over_parent": null }, "node_3045": { "node_id": "node_3045", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3044", "improvement_over_parent": null }, "node_3046": { "node_id": "node_3046", "content": "INITIAL DESIGN (Trace 440)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 174.92 kg\n Factor of Safety: 0.51\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.9160185691924, "fos_buckling": 0.5068456302767754, "fos_yielding": 3.509134240392851, "deflection": 0.004225646227076656, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3047": { "node_id": "node_3047", "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 176.57 kg\n Factor of Safety: 0.51\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.5681824066083, "fos_buckling": 0.5067530676482014, "fos_yielding": 3.508496457487803, "deflection": 0.004215186286798492, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.287)" }, "parent_node_id": "node_3046", "improvement_over_parent": null }, "node_3048": { "node_id": "node_3048", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.88 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.87836963001124, "fos_buckling": 0.5061848693209469, "fos_yielding": 3.5006750393387978, "deflection": 0.00405431578501867, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_3047", "improvement_over_parent": null }, "node_3049": { "node_id": "node_3049", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1738956832142, "fos_buckling": 1.5520878094277606, "fos_yielding": 6.323290185525861, "deflection": 0.0014898004407472682, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3048", "improvement_over_parent": null }, "node_3050": { "node_id": "node_3050", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3049", "improvement_over_parent": null }, "node_3051": { "node_id": "node_3051", "content": "INITIAL DESIGN (Trace 441)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 117.26 kg\n Factor of Safety: 0.29\n Max Deflection: 8.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.25887039795498, "fos_buckling": 0.2899223610332035, "fos_yielding": 1.6344977686773576, "deflection": 0.008582271744237204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3052": { "node_id": "node_3052", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 140.31 kg\n Factor of Safety: 0.34\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.30647326517655, "fos_buckling": 0.34098049897830573, "fos_yielding": 1.9481600862795163, "deflection": 0.007195624259256268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_3051", "improvement_over_parent": null }, "node_3053": { "node_id": "node_3053", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 154.85 kg\n Factor of Safety: 0.34\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.85145656973677, "fos_buckling": 0.3407053490660173, "fos_yielding": 2.756574087114586, "deflection": 0.005382770977478629, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003143)" }, "parent_node_id": "node_3052", "improvement_over_parent": null }, "node_3054": { "node_id": "node_3054", "content": "MODIFICATION: Increase 11 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 158.48 kg\n Factor of Safety: 0.34\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.48129761742226, "fos_buckling": 0.3404996406169895, "fos_yielding": 2.75490974406378, "deflection": 0.005062214697230444, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.422)" }, "parent_node_id": "node_3053", "improvement_over_parent": null }, "node_3055": { "node_id": "node_3055", "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n Mass: 162.69 kg\n Factor of Safety: 0.43\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.69257324762987, "fos_buckling": 0.43271226825417597, "fos_yielding": 2.906604362124886, "deflection": 0.004878216130178534, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.340)" }, "parent_node_id": "node_3054", "improvement_over_parent": null }, "node_3056": { "node_id": "node_3056", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 197.06 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.05992313841705, "fos_buckling": 0.5062949739252985, "fos_yielding": 3.504267340795225, "deflection": 0.004050612638648105, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.232)" }, "parent_node_id": "node_3055", "improvement_over_parent": null }, "node_3057": { "node_id": "node_3057", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.36 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.35544919162, "fos_buckling": 1.5534406702975856, "fos_yielding": 6.326445581365776, "deflection": 0.0014885986412883155, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3056", "improvement_over_parent": null }, "node_3058": { "node_id": "node_3058", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3057", "improvement_over_parent": null }, "node_3059": { "node_id": "node_3059", "content": "INITIAL DESIGN (Trace 442)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 150.26 kg\n Factor of Safety: 0.83\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 150.25778790394995, "fos_buckling": 0.83472079194229, "fos_yielding": 4.160994122784277, "deflection": 0.0023001379586115606, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3060": { "node_id": "node_3060", "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 152.62 kg\n Factor of Safety: 0.84\n Max Deflection: 2.26e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.61529573372644, "fos_buckling": 0.8351068394883282, "fos_yielding": 4.159360610370046, "deflection": 0.002261964990352922, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.555)" }, "parent_node_id": "node_3059", "improvement_over_parent": null }, "node_3061": { "node_id": "node_3061", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n\nPerformance:\n Mass: 170.96 kg\n Factor of Safety: 1.33\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.96319382678567, "fos_buckling": 1.33446179039182, "fos_yielding": 5.303004686691433, "deflection": 0.001742213591283367, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003622)" }, "parent_node_id": "node_3060", "improvement_over_parent": null }, "node_3062": { "node_id": "node_3062", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 198.10 kg\n Factor of Safety: 1.50\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.09825295870854, "fos_buckling": 1.504986869772583, "fos_yielding": 6.128145134183898, "deflection": 0.001508462771452665, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.174)" }, "parent_node_id": "node_3061", "improvement_over_parent": null }, "node_3063": { "node_id": "node_3063", "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21105791623847, "fos_buckling": 1.552371852867858, "fos_yielding": 6.32109170363309, "deflection": 0.0014895732242533976, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.661)" }, "parent_node_id": "node_3062", "improvement_over_parent": null }, "node_3064": { "node_id": "node_3064", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3063", "improvement_over_parent": null }, "node_3065": { "node_id": "node_3065", "content": "INITIAL DESIGN (Trace 443)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.82 kg\n Factor of Safety: 0.39\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.8213123797383, "fos_buckling": 0.3865803219556136, "fos_yielding": 2.592950177625845, "deflection": 0.004931722690463156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3066": { "node_id": "node_3066", "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 181.58 kg\n Factor of Safety: 0.39\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.5770875178664, "fos_buckling": 0.38646252373443446, "fos_yielding": 2.592166166065897, "deflection": 0.0049107928041093405, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.580)" }, "parent_node_id": "node_3065", "improvement_over_parent": null }, "node_3067": { "node_id": "node_3067", "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 184.64 kg\n Factor of Safety: 0.39\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.6381907458716, "fos_buckling": 0.3864625237344346, "fos_yielding": 2.6876885569445155, "deflection": 0.004796866684285975, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.414)" }, "parent_node_id": "node_3066", "improvement_over_parent": null }, "node_3068": { "node_id": "node_3068", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 190.52 kg\n Factor of Safety: 1.28\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.52062090581015, "fos_buckling": 1.2816995258357338, "fos_yielding": 5.457919475800467, "deflection": 0.0015764178474229546, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002635)" }, "parent_node_id": "node_3067", "improvement_over_parent": null }, "node_3069": { "node_id": "node_3069", "content": "MODIFICATION: Increase 13 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 195.66 kg\n Factor of Safety: 1.29\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.65717458446457, "fos_buckling": 1.2903822364016933, "fos_yielding": 5.4948934577248085, "deflection": 0.0015578012526046914, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.412)" }, "parent_node_id": "node_3068", "improvement_over_parent": null }, "node_3070": { "node_id": "node_3070", "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 201.10 kg\n Factor of Safety: 1.28\n Max Deflection: 1.54e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.09973297637185, "fos_buckling": 1.282380242784135, "fos_yielding": 5.460818203790372, "deflection": 0.0015402387438248372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.304)" }, "parent_node_id": "node_3069", "improvement_over_parent": null }, "node_3071": { "node_id": "node_3071", "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 206.36 kg\n Factor of Safety: 1.29\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 206.3609235504622, "fos_buckling": 1.2901056440324001, "fos_yielding": 5.493715631839106, "deflection": 0.0015263403690342298, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.548)" }, "parent_node_id": "node_3070", "improvement_over_parent": null }, "node_3072": { "node_id": "node_3072", "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0052)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n\nPerformance:\n Mass: 207.33 kg\n Factor of Safety: 1.29\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.3307790382984, "fos_buckling": 1.2927162941954855, "fos_yielding": 5.504832682350859, "deflection": 0.001521552196884206, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.264)" }, "parent_node_id": "node_3071", "improvement_over_parent": null }, "node_3073": { "node_id": "node_3073", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3072", "improvement_over_parent": null }, "node_3074": { "node_id": "node_3074", "content": "INITIAL DESIGN (Trace 444)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0012)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0009)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0012)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0009)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0011)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0013)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0010)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0019)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0013)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0013)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0015)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0013)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0014)]\n\nPerformance:\n Mass: 74.84 kg\n Factor of Safety: 0.64\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 74.83715271253378, "fos_buckling": 0.6424646580344744, "fos_yielding": 2.347780131575259, "deflection": 0.004004605497290264, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3075": { "node_id": "node_3075", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0016)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0018)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 93.00 kg\n Factor of Safety: 0.79\n Max Deflection: 3.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 92.99516038913683, "fos_buckling": 0.7853706548579215, "fos_yielding": 2.9119189948279254, "deflection": 0.0032294719807760205, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_3074", "improvement_over_parent": null }, "node_3076": { "node_id": "node_3076", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0017)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0014)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0021)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 106.87 kg\n Factor of Safety: 0.89\n Max Deflection: 2.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 106.87438141239758, "fos_buckling": 0.891222660538162, "fos_yielding": 3.3416879345012513, "deflection": 0.002814597182491319, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.156)" }, "parent_node_id": "node_3075", "improvement_over_parent": null }, "node_3077": { "node_id": "node_3077", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 140.30 kg\n Factor of Safety: 1.13\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.29864565292715, "fos_buckling": 1.1342031190993436, "fos_yielding": 4.3715988835215605, "deflection": 0.002152349133444807, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3076", "improvement_over_parent": null }, "node_3078": { "node_id": "node_3078", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 172.54 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.53716090461285, "fos_buckling": 1.3527156312417827, "fos_yielding": 5.358242448822386, "deflection": 0.00175668668858395, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3077", "improvement_over_parent": null }, "node_3079": { "node_id": "node_3079", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.27 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.26716391989908, "fos_buckling": 1.5527380612370423, "fos_yielding": 6.3229344086386385, "deflection": 0.0014892168404940693, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3078", "improvement_over_parent": null }, "node_3080": { "node_id": "node_3080", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3079", "improvement_over_parent": null }, "node_3081": { "node_id": "node_3081", "content": "INITIAL DESIGN (Trace 445)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 111.34 kg\n Factor of Safety: 0.54\n Max Deflection: 5.68e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.33596007875417, "fos_buckling": 0.5393961707126548, "fos_yielding": 4.4142869238441, "deflection": 5679618393084.948, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3082": { "node_id": "node_3082", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0025)]\n\nPerformance:\n Mass: 122.17 kg\n Factor of Safety: 0.37\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.1720540127691, "fos_buckling": 0.37394024206381776, "fos_yielding": 2.4556821478619764, "deflection": 0.006469338532995536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002458)" }, "parent_node_id": "node_3081", "improvement_over_parent": null }, "node_3083": { "node_id": "node_3083", "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n\nPerformance:\n Mass: 141.18 kg\n Factor of Safety: 0.42\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.18464621504816, "fos_buckling": 0.42320030753938853, "fos_yielding": 2.8296574440862168, "deflection": 0.005615789308194429, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.167)" }, "parent_node_id": "node_3082", "improvement_over_parent": null }, "node_3084": { "node_id": "node_3084", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 154.22 kg\n Factor of Safety: 0.42\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.22028617134734, "fos_buckling": 0.42258865281568947, "fos_yielding": 2.8255869601311554, "deflection": 0.0052163647642718, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002926)" }, "parent_node_id": "node_3083", "improvement_over_parent": null }, "node_3085": { "node_id": "node_3085", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 192.35 kg\n Factor of Safety: 0.51\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 192.35274701650627, "fos_buckling": 0.5066168411030919, "fos_yielding": 3.5044995251679474, "deflection": 0.0042080508495902945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.271)" }, "parent_node_id": "node_3084", "improvement_over_parent": null }, "node_3086": { "node_id": "node_3086", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 199.65 kg\n Factor of Safety: 1.31\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.64827306970923, "fos_buckling": 1.313676916489723, "fos_yielding": 6.318263842398281, "deflection": 0.001514452888851218, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3085", "improvement_over_parent": null }, "node_3087": { "node_id": "node_3087", "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0080)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 214.09 kg\n Factor of Safety: 1.32\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 214.08687284513928, "fos_buckling": 1.319962635248934, "fos_yielding": 6.034610028660682, "deflection": 0.0013824564449084458, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.493)" }, "parent_node_id": "node_3086", "improvement_over_parent": null }, "node_3088": { "node_id": "node_3088", "content": "MODIFICATION: Increase 5 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0080)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 218.28 kg\n Factor of Safety: 1.32\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 218.27758643751733, "fos_buckling": 1.317740380647986, "fos_yielding": 6.1051174136262345, "deflection": 0.0013769444061392723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.468)" }, "parent_node_id": "node_3087", "improvement_over_parent": null }, "node_3089": { "node_id": "node_3089", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3088", "improvement_over_parent": null }, "node_3090": { "node_id": "node_3090", "content": "INITIAL DESIGN (Trace 446)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 163.65 kg\n Factor of Safety: 1.13\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.64546391300286, "fos_buckling": 1.1254080938456426, "fos_yielding": 5.236964681672652, "deflection": 0.0018043931606884086, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3091": { "node_id": "node_3091", "content": "MODIFICATION: Increase 15 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 168.53 kg\n Factor of Safety: 1.32\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.52724049059353, "fos_buckling": 1.3193804574043348, "fos_yielding": 5.2307403543308535, "deflection": 0.0017679434998718409, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.425)" }, "parent_node_id": "node_3090", "improvement_over_parent": null }, "node_3092": { "node_id": "node_3092", "content": "MODIFICATION: Increase 11 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 173.55 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.55452447295056, "fos_buckling": 1.3592644568421772, "fos_yielding": 5.388862178995484, "deflection": 0.0017466009088724765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.618)" }, "parent_node_id": "node_3091", "improvement_over_parent": null }, "node_3093": { "node_id": "node_3093", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0516317965044, "fos_buckling": 1.5513245215056548, "fos_yielding": 6.315932079676746, "deflection": 0.001490759191502253, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_3092", "improvement_over_parent": null }, "node_3094": { "node_id": "node_3094", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3093", "improvement_over_parent": null }, "node_3095": { "node_id": "node_3095", "content": "INITIAL DESIGN (Trace 447)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 127.66 kg\n Factor of Safety: 1.43\n Max Deflection: 2.18e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.66446776691738, "fos_buckling": 1.4255352052621533, "fos_yielding": 6.209309734903839, "deflection": 2184341185720.3738, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3096": { "node_id": "node_3096", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 142.44 kg\n Factor of Safety: 0.70\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.43777615907425, "fos_buckling": 0.7007999725891988, "fos_yielding": 3.308983936949417, "deflection": 0.0025606597802462928, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002945)" }, "parent_node_id": "node_3095", "improvement_over_parent": null }, "node_3097": { "node_id": "node_3097", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 143.38 kg\n Factor of Safety: 0.70\n Max Deflection: 2.45e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.38290263595826, "fos_buckling": 0.7006547908381745, "fos_yielding": 4.530578536523252, "deflection": 0.0024492860432530125, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.397)" }, "parent_node_id": "node_3096", "improvement_over_parent": null }, "node_3098": { "node_id": "node_3098", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 167.69 kg\n Factor of Safety: 0.80\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.69373758869202, "fos_buckling": 0.798205707079498, "fos_yielding": 5.279919522062718, "deflection": 0.0021011667969807074, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.183)" }, "parent_node_id": "node_3097", "improvement_over_parent": null }, "node_3099": { "node_id": "node_3099", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n\nPerformance:\n Mass: 171.22 kg\n Factor of Safety: 1.35\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.22374444361458, "fos_buckling": 1.3538588634418862, "fos_yielding": 5.381411439582305, "deflection": 0.0017534788123366998, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002105)" }, "parent_node_id": "node_3098", "improvement_over_parent": null }, "node_3100": { "node_id": "node_3100", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 201.34 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.3388352960832, "fos_buckling": 1.5385201324279807, "fos_yielding": 6.307553033512684, "deflection": 0.0014964657781551191, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_3099", "improvement_over_parent": null }, "node_3101": { "node_id": "node_3101", "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0055)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 207.15 kg\n Factor of Safety: 1.46\n Max Deflection: 1.48e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.15499609541197, "fos_buckling": 1.4597517451249729, "fos_yielding": 6.313840517377531, "deflection": 0.0014795984569986528, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.610)" }, "parent_node_id": "node_3100", "improvement_over_parent": null }, "node_3102": { "node_id": "node_3102", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3101", "improvement_over_parent": null }, "node_3103": { "node_id": "node_3103", "content": "INITIAL DESIGN (Trace 448)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 111.99 kg\n Factor of Safety: 0.62\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.9947813620998, "fos_buckling": 0.617532708834703, "fos_yielding": 2.798665785411941, "deflection": 0.004448250007954012, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3104": { "node_id": "node_3104", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 123.23 kg\n Factor of Safety: 0.77\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.2340910303873, "fos_buckling": 0.7743537213430466, "fos_yielding": 4.019869371964715, "deflection": 0.0024074710440000337, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002387)" }, "parent_node_id": "node_3103", "improvement_over_parent": null }, "node_3105": { "node_id": "node_3105", "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 124.16 kg\n Factor of Safety: 0.79\n Max Deflection: 2.39e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.15828059852987, "fos_buckling": 0.7910134253991737, "fos_yielding": 4.015135143816308, "deflection": 0.002391016791225462, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.458)" }, "parent_node_id": "node_3104", "improvement_over_parent": null }, "node_3106": { "node_id": "node_3106", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n\nPerformance:\n Mass: 129.18 kg\n Factor of Safety: 0.98\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.17806581394305, "fos_buckling": 0.9828786885520033, "fos_yielding": 4.063066909852748, "deflection": 0.0023266726359587723, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001752)" }, "parent_node_id": "node_3105", "improvement_over_parent": null }, "node_3107": { "node_id": "node_3107", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n\nPerformance:\n Mass: 144.35 kg\n Factor of Safety: 1.08\n Max Deflection: 2.09e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.34901710184133, "fos_buckling": 1.0831286934228723, "fos_yielding": 4.532815818257052, "deflection": 0.0020858733397666755, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.125)" }, "parent_node_id": "node_3106", "improvement_over_parent": null }, "node_3108": { "node_id": "node_3108", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0034)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n\nPerformance:\n Mass: 182.92 kg\n Factor of Safety: 1.32\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.9231042289794, "fos_buckling": 1.3242263593187538, "fos_yielding": 5.720281607649712, "deflection": 0.0016535027617116474, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.290)" }, "parent_node_id": "node_3107", "improvement_over_parent": null }, "node_3109": { "node_id": "node_3109", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 202.74 kg\n Factor of Safety: 1.44\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 202.74386664676697, "fos_buckling": 1.4405225568049687, "fos_yielding": 6.326594814546116, "deflection": 0.001495325662206638, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.119)" }, "parent_node_id": "node_3108", "improvement_over_parent": null }, "node_3110": { "node_id": "node_3110", "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0064)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 208.78 kg\n Factor of Safety: 1.44\n Max Deflection: 1.43e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 208.7844767041701, "fos_buckling": 1.4440875705613454, "fos_yielding": 6.183545955678974, "deflection": 0.001429990660793636, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.200)" }, "parent_node_id": "node_3109", "improvement_over_parent": null }, "node_3111": { "node_id": "node_3111", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3110", "improvement_over_parent": null }, "node_3112": { "node_id": "node_3112", "content": "INITIAL DESIGN (Trace 449)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 130.11 kg\n Factor of Safety: 0.24\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.1085079233904, "fos_buckling": 0.24327013900140862, "fos_yielding": 1.9617455445913639, "deflection": 0.005718420174492625, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3113": { "node_id": "node_3113", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.96 kg\n Factor of Safety: 0.30\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.96285658756082, "fos_buckling": 0.30050396224396564, "fos_yielding": 2.521617182890229, "deflection": 0.004448171415518865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3112", "improvement_over_parent": null }, "node_3114": { "node_id": "node_3114", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 201.82 kg\n Factor of Safety: 1.55\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.82074751592467, "fos_buckling": 1.5497689800707815, "fos_yielding": 6.306831387441204, "deflection": 0.0014954007531163683, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_3113", "improvement_over_parent": null }, "node_3115": { "node_id": "node_3115", "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.06 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0596789999138, "fos_buckling": 1.55192505695885, "fos_yielding": 6.315605607061205, "deflection": 0.0014905779648484692, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.437)" }, "parent_node_id": "node_3114", "improvement_over_parent": null }, "node_3116": { "node_id": "node_3116", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3115", "improvement_over_parent": null }, "node_3117": { "node_id": "node_3117", "content": "INITIAL DESIGN (Trace 450)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 142.96 kg\n Factor of Safety: 0.97\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.95860073519106, "fos_buckling": 0.9724630864879825, "fos_yielding": 4.429134418714696, "deflection": 0.0021103360693161097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3118": { "node_id": "node_3118", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 172.75 kg\n Factor of Safety: 1.16\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.75031942379877, "fos_buckling": 1.1550307576588228, "fos_yielding": 5.336209167730418, "deflection": 0.0017523829111348406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.225)" }, "parent_node_id": "node_3117", "improvement_over_parent": null }, "node_3119": { "node_id": "node_3119", "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 173.77 kg\n Factor of Safety: 1.36\n Max Deflection: 1.74e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.77318331544262, "fos_buckling": 1.3607921291525087, "fos_yielding": 5.395957912948759, "deflection": 0.0017444456104362886, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.493)" }, "parent_node_id": "node_3118", "improvement_over_parent": null }, "node_3120": { "node_id": "node_3120", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1486311584973, "fos_buckling": 1.5520259680746062, "fos_yielding": 6.319363360580312, "deflection": 0.00149006668085687, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.192)" }, "parent_node_id": "node_3119", "improvement_over_parent": null }, "node_3121": { "node_id": "node_3121", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3120", "improvement_over_parent": null }, "node_3122": { "node_id": "node_3122", "content": "INITIAL DESIGN (Trace 451)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0019)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 152.39 kg\n Factor of Safety: 0.76\n Max Deflection: 2.34e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.39155286977984, "fos_buckling": 0.7575670877551248, "fos_yielding": 4.19326238861606, "deflection": 0.0023405227030133366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3123": { "node_id": "node_3123", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 191.19 kg\n Factor of Safety: 0.91\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 191.19192465581733, "fos_buckling": 0.909617187226277, "fos_yielding": 5.236933135057287, "deflection": 0.0018742938839185238, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.279)" }, "parent_node_id": "node_3122", "improvement_over_parent": null }, "node_3124": { "node_id": "node_3124", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 195.02 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.02279533965077, "fos_buckling": 0.9092391068660092, "fos_yielding": 6.1804371624871255, "deflection": 0.0017536005410166177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_3123", "improvement_over_parent": null }, "node_3125": { "node_id": "node_3125", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 199.17 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.17417038657263, "fos_buckling": 1.4877076035181902, "fos_yielding": 6.2194219653150915, "deflection": 0.0015054487015057347, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3124", "improvement_over_parent": null }, "node_3126": { "node_id": "node_3126", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0059)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 207.20 kg\n Factor of Safety: 1.44\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 207.19616518817838, "fos_buckling": 1.4429944136131685, "fos_yielding": 6.185796205455081, "deflection": 0.0014865936010529498, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.529)" }, "parent_node_id": "node_3125", "improvement_over_parent": null }, "node_3127": { "node_id": "node_3127", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3126", "improvement_over_parent": null }, "node_3128": { "node_id": "node_3128", "content": "INITIAL DESIGN (Trace 452)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 116.49 kg\n Factor of Safety: 0.75\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.48693686486448, "fos_buckling": 0.7478993217274272, "fos_yielding": 3.6173630330602116, "deflection": 0.0026188899535265057, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3129": { "node_id": "node_3129", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 133.98 kg\n Factor of Safety: 0.84\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.977426465243, "fos_buckling": 0.8449254093407486, "fos_yielding": 4.15259722008924, "deflection": 0.0022821986500429136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.161)" }, "parent_node_id": "node_3128", "improvement_over_parent": null }, "node_3130": { "node_id": "node_3130", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 146.78 kg\n Factor of Safety: 0.84\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.77660599282677, "fos_buckling": 0.8437088859035511, "fos_yielding": 4.185269069127364, "deflection": 0.0020703789039774366, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002869)" }, "parent_node_id": "node_3129", "improvement_over_parent": null }, "node_3131": { "node_id": "node_3131", "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n\nPerformance:\n Mass: 147.47 kg\n Factor of Safety: 0.84\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.46818800264708, "fos_buckling": 0.8437745291539529, "fos_yielding": 4.185108374245046, "deflection": 0.00206319008976542, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.241)" }, "parent_node_id": "node_3130", "improvement_over_parent": null }, "node_3132": { "node_id": "node_3132", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 159.75 kg\n Factor of Safety: 1.02\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.754414000347, "fos_buckling": 1.0183298653721167, "fos_yielding": 4.932823486735165, "deflection": 0.0018923959399030957, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002811)" }, "parent_node_id": "node_3131", "improvement_over_parent": null }, "node_3133": { "node_id": "node_3133", "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0028)]\n\nPerformance:\n Mass: 160.86 kg\n Factor of Safety: 1.28\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.8556893547164, "fos_buckling": 1.275322555297421, "fos_yielding": 5.001485480324259, "deflection": 0.0018817298266081786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.616)" }, "parent_node_id": "node_3132", "improvement_over_parent": null }, "node_3134": { "node_id": "node_3134", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08384300299414, "fos_buckling": 1.5516199501053325, "fos_yielding": 6.317365874202747, "deflection": 0.0014905222472772822, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_3133", "improvement_over_parent": null }, "node_3135": { "node_id": "node_3135", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3134", "improvement_over_parent": null }, "node_3136": { "node_id": "node_3136", "content": "INITIAL DESIGN (Trace 453)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 147.22 kg\n Factor of Safety: 1.03\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.2201922660593, "fos_buckling": 1.0253938270080714, "fos_yielding": 4.541741087650527, "deflection": 0.002020964215643759, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3137": { "node_id": "node_3137", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 187.60 kg\n Factor of Safety: 1.25\n Max Deflection: 1.59e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.60125608103226, "fos_buckling": 1.2478126645138297, "fos_yielding": 5.778881485291604, "deflection": 0.0015929629556336597, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.300)" }, "parent_node_id": "node_3136", "improvement_over_parent": null }, "node_3138": { "node_id": "node_3138", "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.78 kg\n Factor of Safety: 1.23\n Max Deflection: 1.57e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.77614957183195, "fos_buckling": 1.2293246561540256, "fos_yielding": 6.1964165356915695, "deflection": 0.0015662176498236447, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.188)" }, "parent_node_id": "node_3137", "improvement_over_parent": null }, "node_3139": { "node_id": "node_3139", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 196.64 kg\n Factor of Safety: 1.44\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.64202576024545, "fos_buckling": 1.4375567327790937, "fos_yielding": 6.227374380061465, "deflection": 0.0015150850013276828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_3138", "improvement_over_parent": null }, "node_3140": { "node_id": "node_3140", "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 199.08 kg\n Factor of Safety: 1.49\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.07932784728658, "fos_buckling": 1.4873711885029877, "fos_yielding": 6.215653605363253, "deflection": 0.001506253569714979, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.339)" }, "parent_node_id": "node_3139", "improvement_over_parent": null }, "node_3141": { "node_id": "node_3141", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0065)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 208.72 kg\n Factor of Safety: 1.53\n Max Deflection: 1.47e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 208.72122484795486, "fos_buckling": 1.525660293976251, "fos_yielding": 6.048586322708994, "deflection": 0.001469749126000209, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.527)" }, "parent_node_id": "node_3140", "improvement_over_parent": null }, "node_3142": { "node_id": "node_3142", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3141", "improvement_over_parent": null }, "node_3143": { "node_id": "node_3143", "content": "INITIAL DESIGN (Trace 454)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 165.84 kg\n Factor of Safety: 0.01\n Max Deflection: 2.69e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.8383961451378, "fos_buckling": 0.011560752088331886, "fos_yielding": 0.09702046460787249, "deflection": 269460917144195.28, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3144": { "node_id": "node_3144", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 169.99 kg\n Factor of Safety: 0.70\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 169.98977119205966, "fos_buckling": 0.6952980079274095, "fos_yielding": 5.131603673732708, "deflection": 0.002102916020778166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3143", "improvement_over_parent": null }, "node_3145": { "node_id": "node_3145", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 183.86 kg\n Factor of Safety: 0.69\n Max Deflection: 1.97e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.86012906301752, "fos_buckling": 0.6932013392098768, "fos_yielding": 5.368982386265246, "deflection": 0.001971974669578172, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_3144", "improvement_over_parent": null }, "node_3146": { "node_id": "node_3146", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.17031628642047, "fos_buckling": 1.5521506161420828, "fos_yielding": 6.3199950642523826, "deflection": 0.0014899073441645484, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_3145", "improvement_over_parent": null }, "node_3147": { "node_id": "node_3147", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3146", "improvement_over_parent": null }, "node_3148": { "node_id": "node_3148", "content": "INITIAL DESIGN (Trace 455)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 109.04 kg\n Factor of Safety: 0.23\n Max Deflection: 8.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.0386963693619, "fos_buckling": 0.2277104211343084, "fos_yielding": 1.8178834284979115, "deflection": 0.008416091619800916, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3149": { "node_id": "node_3149", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n\nPerformance:\n Mass: 133.28 kg\n Factor of Safety: 0.38\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.28096374388358, "fos_buckling": 0.38341041765803185, "fos_yielding": 1.8536920109032426, "deflection": 0.0060578827701209025, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003739)" }, "parent_node_id": "node_3148", "improvement_over_parent": null }, "node_3150": { "node_id": "node_3150", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 138.50 kg\n Factor of Safety: 0.90\n Max Deflection: 2.22e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.50389527866986, "fos_buckling": 0.8970796868990433, "fos_yielding": 3.4387207708020657, "deflection": 0.0022200001609048903, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002320)" }, "parent_node_id": "node_3149", "improvement_over_parent": null }, "node_3151": { "node_id": "node_3151", "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n\nPerformance:\n Mass: 143.14 kg\n Factor of Safety: 0.89\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.1365889692282, "fos_buckling": 0.8946731646137891, "fos_yielding": 3.427151531362822, "deflection": 0.0022047550767221795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.437)" }, "parent_node_id": "node_3150", "improvement_over_parent": null }, "node_3152": { "node_id": "node_3152", "content": "MODIFICATION: Increase 15 thickness by 38%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0032)]\n\nPerformance:\n Mass: 144.94 kg\n Factor of Safety: 0.90\n Max Deflection: 2.16e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.93849656295063, "fos_buckling": 0.9038012915843652, "fos_yielding": 3.4736085927818756, "deflection": 0.002156306468919204, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.377)" }, "parent_node_id": "node_3151", "improvement_over_parent": null }, "node_3153": { "node_id": "node_3153", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0037)]\n\nPerformance:\n Mass: 165.36 kg\n Factor of Safety: 1.02\n Max Deflection: 1.89e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.35578836348247, "fos_buckling": 1.0163449378360747, "fos_yielding": 3.964152579522032, "deflection": 0.0018934468145026004, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.152)" }, "parent_node_id": "node_3152", "improvement_over_parent": null }, "node_3154": { "node_id": "node_3154", "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0043)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0037)]\n\nPerformance:\n Mass: 167.09 kg\n Factor of Safety: 1.00\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.0945833238433, "fos_buckling": 0.99975832562154, "fos_yielding": 5.270946733056678, "deflection": 0.0018193935056444416, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.387)" }, "parent_node_id": "node_3153", "improvement_over_parent": null }, "node_3155": { "node_id": "node_3155", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0053)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n M14: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0046)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.19\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.23403773481894, "fos_buckling": 1.1907669894055033, "fos_yielding": 6.418854081447412, "deflection": 0.0014942314387757652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.245)" }, "parent_node_id": "node_3154", "improvement_over_parent": null }, "node_3156": { "node_id": "node_3156", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3155", "improvement_over_parent": null }, "node_3157": { "node_id": "node_3157", "content": "INITIAL DESIGN (Trace 456)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0012)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n Mass: 77.51 kg\n Factor of Safety: 0.33\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 77.51414068814194, "fos_buckling": 0.33471753123759324, "fos_yielding": 2.35038992625345, "deflection": 0.004457521722102829, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3158": { "node_id": "node_3158", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0014)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0010)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0015)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0022)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0012)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0017)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0017)]\n\nPerformance:\n Mass: 86.22 kg\n Factor of Safety: 0.72\n Max Deflection: 3.45e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 86.218578351275, "fos_buckling": 0.7242996882768463, "fos_yielding": 2.732608130794528, "deflection": 0.003449984516758883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001690)" }, "parent_node_id": "node_3157", "improvement_over_parent": null }, "node_3159": { "node_id": "node_3159", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 112.38 kg\n Factor of Safety: 0.92\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 112.38461871975291, "fos_buckling": 0.9244946188157065, "fos_yielding": 3.551134200749316, "deflection": 0.0026549220399354587, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.318)" }, "parent_node_id": "node_3158", "improvement_over_parent": null }, "node_3160": { "node_id": "node_3160", "content": "MODIFICATION: Increase 12 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 114.06 kg\n Factor of Safety: 0.94\n Max Deflection: 2.64e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.06151875629115, "fos_buckling": 0.9449262707795928, "fos_yielding": 3.5638983958505124, "deflection": 0.002639388575665932, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.250)" }, "parent_node_id": "node_3159", "improvement_over_parent": null }, "node_3161": { "node_id": "node_3161", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 141.44 kg\n Factor of Safety: 1.14\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.44035188083436, "fos_buckling": 1.1422480292115553, "fos_yielding": 4.406833215642365, "deflection": 0.0021352157780389035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_3160", "improvement_over_parent": null }, "node_3162": { "node_id": "node_3162", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n\nPerformance:\n Mass: 172.63 kg\n Factor of Safety: 1.35\n Max Deflection: 1.76e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.6280282070618, "fos_buckling": 1.3533565787547934, "fos_yielding": 5.3612299990635215, "deflection": 0.0017557476530835894, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.238)" }, "parent_node_id": "node_3161", "improvement_over_parent": null }, "node_3163": { "node_id": "node_3163", "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.37 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.37283151003848, "fos_buckling": 1.5534303685787152, "fos_yielding": 6.326386529682306, "deflection": 0.0014884377536431377, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.202)" }, "parent_node_id": "node_3162", "improvement_over_parent": null }, "node_3164": { "node_id": "node_3164", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3163", "improvement_over_parent": null }, "node_3165": { "node_id": "node_3165", "content": "INITIAL DESIGN (Trace 457)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.66 kg\n Factor of Safety: 0.42\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.6604120377067, "fos_buckling": 0.42354853376164786, "fos_yielding": 3.5054083208214277, "deflection": 0.004195963322329425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3166": { "node_id": "node_3166", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 195.96 kg\n Factor of Safety: 1.41\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 195.95593809090965, "fos_buckling": 1.4107594962311483, "fos_yielding": 6.188841766173863, "deflection": 0.001523126172462161, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3165", "improvement_over_parent": null }, "node_3167": { "node_id": "node_3167", "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0050)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 201.06 kg\n Factor of Safety: 1.48\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.05944721899343, "fos_buckling": 1.4830429949421304, "fos_yielding": 6.168920577985166, "deflection": 0.0015109583938122664, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.374)" }, "parent_node_id": "node_3166", "improvement_over_parent": null }, "node_3168": { "node_id": "node_3168", "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0050)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 205.13 kg\n Factor of Safety: 1.47\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.12811059369417, "fos_buckling": 1.470364709071775, "fos_yielding": 6.170476043321666, "deflection": 0.0015012307843442153, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.261)" }, "parent_node_id": "node_3167", "improvement_over_parent": null }, "node_3169": { "node_id": "node_3169", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3168", "improvement_over_parent": null }, "node_3170": { "node_id": "node_3170", "content": "INITIAL DESIGN (Trace 458)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 95.11 kg\n Factor of Safety: 0.69\n Max Deflection: 3.43e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 95.10718907258621, "fos_buckling": 0.688247215423274, "fos_yielding": 2.8207560456927543, "deflection": 0.003430540090466467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3171": { "node_id": "node_3171", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n\nPerformance:\n Mass: 107.48 kg\n Factor of Safety: 0.81\n Max Deflection: 2.75e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.47948365921148, "fos_buckling": 0.8120347059231394, "fos_yielding": 3.0747684558891173, "deflection": 0.002749598911871669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002380)" }, "parent_node_id": "node_3170", "improvement_over_parent": null }, "node_3172": { "node_id": "node_3172", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 130.43 kg\n Factor of Safety: 0.96\n Max Deflection: 2.27e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.43148786944738, "fos_buckling": 0.9623359190122052, "fos_yielding": 3.721409125423645, "deflection": 0.0022723645266956595, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3171", "improvement_over_parent": null }, "node_3173": { "node_id": "node_3173", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n\nPerformance:\n Mass: 144.07 kg\n Factor of Safety: 1.05\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.06648178732848, "fos_buckling": 1.047838837445073, "fos_yielding": 4.103909410289117, "deflection": 0.002060862213845324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_3172", "improvement_over_parent": null }, "node_3174": { "node_id": "node_3174", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n\nPerformance:\n Mass: 156.75 kg\n Factor of Safety: 1.11\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.74509029396003, "fos_buckling": 1.1095900121704276, "fos_yielding": 4.856551915015809, "deflection": 0.0019154829905931971, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002840)" }, "parent_node_id": "node_3173", "improvement_over_parent": null }, "node_3175": { "node_id": "node_3175", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 175.58 kg\n Factor of Safety: 1.23\n Max Deflection: 1.71e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.57568800589803, "fos_buckling": 1.2257950755954128, "fos_yielding": 5.429380863266206, "deflection": 0.0017138967525916285, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3174", "improvement_over_parent": null }, "node_3176": { "node_id": "node_3176", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 201.02 kg\n Factor of Safety: 1.38\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.01537469453015, "fos_buckling": 1.3771581615390567, "fos_yielding": 6.199751242606541, "deflection": 0.001501538851758339, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3175", "improvement_over_parent": null }, "node_3177": { "node_id": "node_3177", "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.23 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.23430295548363, "fos_buckling": 1.552522142573001, "fos_yielding": 6.321877198144053, "deflection": 0.0014894462167842116, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.497)" }, "parent_node_id": "node_3176", "improvement_over_parent": null }, "node_3178": { "node_id": "node_3178", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3177", "improvement_over_parent": null }, "node_3179": { "node_id": "node_3179", "content": "INITIAL DESIGN (Trace 459)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.41\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.2527686618862, "fos_buckling": 0.4142924933387257, "fos_yielding": 2.3536274901980523, "deflection": 0.006410097781130881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3180": { "node_id": "node_3180", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 168.86 kg\n Factor of Safety: 0.41\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 168.861374431875, "fos_buckling": 0.413888127394925, "fos_yielding": 2.6345974069905735, "deflection": 0.005339738330009229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_3179", "improvement_over_parent": null }, "node_3181": { "node_id": "node_3181", "content": "MODIFICATION: Increase 1 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 170.88 kg\n Factor of Safety: 0.41\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.8820090123922, "fos_buckling": 0.41374910376018725, "fos_yielding": 3.4382942011314936, "deflection": 0.005147950545079949, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.368)" }, "parent_node_id": "node_3180", "improvement_over_parent": null }, "node_3182": { "node_id": "node_3182", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 175.46 kg\n Factor of Safety: 0.51\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.46428426573408, "fos_buckling": 0.5074504572536572, "fos_yielding": 3.512922170438952, "deflection": 0.004880069475315427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.302)" }, "parent_node_id": "node_3181", "improvement_over_parent": null }, "node_3183": { "node_id": "node_3183", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 182.76 kg\n Factor of Safety: 1.29\n Max Deflection: 1.63e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.75981031893704, "fos_buckling": 1.2875329906606199, "fos_yielding": 5.242533850395588, "deflection": 0.0016291077639732268, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3182", "improvement_over_parent": null }, "node_3184": { "node_id": "node_3184", "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0047)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 187.11 kg\n Factor of Safety: 1.29\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 187.10605140717948, "fos_buckling": 1.2869143571712385, "fos_yielding": 5.240014919205014, "deflection": 0.0016246183780841848, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.650)" }, "parent_node_id": "node_3183", "improvement_over_parent": null }, "node_3185": { "node_id": "node_3185", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0047)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 203.35 kg\n Factor of Safety: 1.32\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 203.35139764817654, "fos_buckling": 1.3177935855045178, "fos_yielding": 6.130875544187311, "deflection": 0.001523351527139381, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_3184", "improvement_over_parent": null }, "node_3186": { "node_id": "node_3186", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3185", "improvement_over_parent": null }, "node_3187": { "node_id": "node_3187", "content": "INITIAL DESIGN (Trace 460)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3188": { "node_id": "node_3188", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 190.76 kg\n Factor of Safety: 0.91\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.75745818817887, "fos_buckling": 0.9083808101171602, "fos_yielding": 6.174176846671675, "deflection": 0.0018795696292626786, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_3187", "improvement_over_parent": null }, "node_3189": { "node_id": "node_3189", "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 199.99 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.99478356931854, "fos_buckling": 0.9074718738358997, "fos_yielding": 6.167998894341158, "deflection": 0.001725139023381412, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.412)" }, "parent_node_id": "node_3188", "improvement_over_parent": null }, "node_3190": { "node_id": "node_3190", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1461586162404, "fos_buckling": 1.5513699776169498, "fos_yielding": 6.320665860842836, "deflection": 0.0014902214365840269, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3189", "improvement_over_parent": null }, "node_3191": { "node_id": "node_3191", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3190", "improvement_over_parent": null }, "node_3192": { "node_id": "node_3192", "content": "INITIAL DESIGN (Trace 461)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 113.09 kg\n Factor of Safety: 0.45\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.09033627550363, "fos_buckling": 0.45304859119278923, "fos_yielding": 2.497896491545453, "deflection": 0.0056107786044854654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3193": { "node_id": "node_3193", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 128.03 kg\n Factor of Safety: 0.75\n Max Deflection: 2.78e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.03361928377353, "fos_buckling": 0.753574308204288, "fos_yielding": 3.71376657496566, "deflection": 0.002777525424847955, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002906)" }, "parent_node_id": "node_3192", "improvement_over_parent": null }, "node_3194": { "node_id": "node_3194", "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 132.91 kg\n Factor of Safety: 0.79\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.91118452827453, "fos_buckling": 0.7854579896302621, "fos_yielding": 3.683420676319049, "deflection": 0.002552265934424208, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.274)" }, "parent_node_id": "node_3193", "improvement_over_parent": null }, "node_3195": { "node_id": "node_3195", "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 133.82 kg\n Factor of Safety: 0.78\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.81647128761986, "fos_buckling": 0.7765886138805655, "fos_yielding": 3.7036351526888125, "deflection": 0.002533865738788145, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.208)" }, "parent_node_id": "node_3194", "improvement_over_parent": null }, "node_3196": { "node_id": "node_3196", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n\nPerformance:\n Mass: 143.57 kg\n Factor of Safety: 1.16\n Max Deflection: 2.10e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.57022601799073, "fos_buckling": 1.157010537357038, "fos_yielding": 4.47197379547418, "deflection": 0.002104157986418828, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002579)" }, "parent_node_id": "node_3195", "improvement_over_parent": null }, "node_3197": { "node_id": "node_3197", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n\nPerformance:\n Mass: 161.76 kg\n Factor of Safety: 1.28\n Max Deflection: 1.87e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.75601252672277, "fos_buckling": 1.2812839070994582, "fos_yielding": 5.028965927618137, "deflection": 0.0018715060354574187, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_3196", "improvement_over_parent": null }, "node_3198": { "node_id": "node_3198", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.33 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.33462814061107, "fos_buckling": 1.5530598797960455, "fos_yielding": 6.324909257837472, "deflection": 0.0014887794345377814, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.289)" }, "parent_node_id": "node_3197", "improvement_over_parent": null }, "node_3199": { "node_id": "node_3199", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3198", "improvement_over_parent": null }, "node_3200": { "node_id": "node_3200", "content": "INITIAL DESIGN (Trace 462)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 113.42 kg\n Factor of Safety: 0.71\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.41804559278035, "fos_buckling": 0.7136687000716914, "fos_yielding": 3.4445242933476643, "deflection": 0.002740640935235692, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3201": { "node_id": "node_3201", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 143.14 kg\n Factor of Safety: 0.87\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.13777008304925, "fos_buckling": 0.8747024681949521, "fos_yielding": 4.338880301043904, "deflection": 0.002177097196479754, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.282)" }, "parent_node_id": "node_3200", "improvement_over_parent": null }, "node_3202": { "node_id": "node_3202", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 174.68 kg\n Factor of Safety: 1.03\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 174.68337031894492, "fos_buckling": 1.0338284433446199, "fos_yielding": 5.284481917100781, "deflection": 0.0017887213239326158, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.242)" }, "parent_node_id": "node_3201", "improvement_over_parent": null }, "node_3203": { "node_id": "node_3203", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.27819038933873, "fos_buckling": 1.04995899821013, "fos_yielding": 5.244645921978061, "deflection": 0.0017904072567407857, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_3202", "improvement_over_parent": null }, "node_3204": { "node_id": "node_3204", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.15 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1485482602966, "fos_buckling": 1.5519934768244865, "fos_yielding": 6.319204764134469, "deflection": 0.001490081882179548, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_3203", "improvement_over_parent": null }, "node_3205": { "node_id": "node_3205", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3204", "improvement_over_parent": null }, "node_3206": { "node_id": "node_3206", "content": "INITIAL DESIGN (Trace 463)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0011)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0010)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0014)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0011)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0012)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0014)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0023)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0016)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0016)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0018)]\n\nPerformance:\n Mass: 74.95 kg\n Factor of Safety: 0.30\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 74.94650132368022, "fos_buckling": 0.29985594206687505, "fos_yielding": 1.592921019889791, "deflection": 0.008039084345425777, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3207": { "node_id": "node_3207", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0015)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 96.72 kg\n Factor of Safety: 0.38\n Max Deflection: 6.23e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.71727417441272, "fos_buckling": 0.3794444052066307, "fos_yielding": 2.054081481229845, "deflection": 0.006232267984563457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.305)" }, "parent_node_id": "node_3206", "improvement_over_parent": null }, "node_3208": { "node_id": "node_3208", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0018)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 115.94 kg\n Factor of Safety: 0.45\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.9352126535143, "fos_buckling": 0.4468602834818907, "fos_yielding": 2.4605761976461995, "deflection": 0.005201216969388881, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_3207", "improvement_over_parent": null }, "node_3209": { "node_id": "node_3209", "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 117.15 kg\n Factor of Safety: 0.45\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.15270816654493, "fos_buckling": 0.44704641726084865, "fos_yielding": 2.460576197646208, "deflection": 0.005174960841680471, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.297)" }, "parent_node_id": "node_3208", "improvement_over_parent": null }, "node_3210": { "node_id": "node_3210", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 149.05 kg\n Factor of Safety: 0.55\n Max Deflection: 4.07e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.05362132524291, "fos_buckling": 0.5521519477399933, "fos_yielding": 3.127612087696698, "deflection": 0.004069635989950819, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.295)" }, "parent_node_id": "node_3209", "improvement_over_parent": null }, "node_3211": { "node_id": "node_3211", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n\nPerformance:\n Mass: 161.30 kg\n Factor of Safety: 0.83\n Max Deflection: 2.21e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 161.2994248877555, "fos_buckling": 0.8258372447998943, "fos_yielding": 4.243549556682635, "deflection": 0.0022052676490779436, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003293)" }, "parent_node_id": "node_3210", "improvement_over_parent": null }, "node_3212": { "node_id": "node_3212", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 182.59 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.59031308675654, "fos_buckling": 0.9164254888940018, "fos_yielding": 4.793332397433646, "deflection": 0.0019514180722755331, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.145)" }, "parent_node_id": "node_3211", "improvement_over_parent": null }, "node_3213": { "node_id": "node_3213", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0041)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 203.84 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.83870459367316, "fos_buckling": 1.5499306110546371, "fos_yielding": 6.308793667377945, "deflection": 0.0014924266508838612, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_3212", "improvement_over_parent": null }, "node_3214": { "node_id": "node_3214", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3213", "improvement_over_parent": null }, "node_3215": { "node_id": "node_3215", "content": "INITIAL DESIGN (Trace 464)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0009)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 113.63 kg\n Factor of Safety: 0.81\n Max Deflection: 2.65e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 113.62686775233938, "fos_buckling": 0.8059828871882252, "fos_yielding": 3.533193908832689, "deflection": 0.00264606164964437, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3216": { "node_id": "node_3216", "content": "MODIFICATION: Increase 3 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0020)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0018)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 114.26 kg\n Factor of Safety: 0.95\n Max Deflection: 2.63e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 114.26135935370327, "fos_buckling": 0.9463675760528272, "fos_yielding": 3.5699079907567626, "deflection": 0.002634874430271513, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.441)" }, "parent_node_id": "node_3215", "improvement_over_parent": null }, "node_3217": { "node_id": "node_3217", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 148.46 kg\n Factor of Safety: 1.19\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.45834534330743, "fos_buckling": 1.190968883410737, "fos_yielding": 4.621928964528801, "deflection": 0.002035955455065884, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.319)" }, "parent_node_id": "node_3216", "improvement_over_parent": null }, "node_3218": { "node_id": "node_3218", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 182.39 kg\n Factor of Safety: 1.42\n Max Deflection: 1.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.39355349066116, "fos_buckling": 1.4164336912343958, "fos_yielding": 5.658564939023381, "deflection": 0.0016636317798343658, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3217", "improvement_over_parent": null }, "node_3219": { "node_id": "node_3219", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 203.97 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.97388832612856, "fos_buckling": 1.550949850834906, "fos_yielding": 6.314026319750024, "deflection": 0.0014913027886842075, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3218", "improvement_over_parent": null }, "node_3220": { "node_id": "node_3220", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3219", "improvement_over_parent": null }, "node_3221": { "node_id": "node_3221", "content": "INITIAL DESIGN (Trace 465)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 178.83 kg\n Factor of Safety: 0.69\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.8312229404983, "fos_buckling": 0.6942164171638462, "fos_yielding": 5.377028939404366, "deflection": 0.002038879289074078, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3222": { "node_id": "node_3222", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.14 kg\n Factor of Safety: 1.24\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.14141016390124, "fos_buckling": 1.2403707764886298, "fos_yielding": 5.219053227438348, "deflection": 0.0015458069226049669, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_3221", "improvement_over_parent": null }, "node_3223": { "node_id": "node_3223", "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.06 kg\n Factor of Safety: 1.43\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.0571200193033, "fos_buckling": 1.4334365858005285, "fos_yielding": 6.2618784530497855, "deflection": 0.0014993716489690488, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.391)" }, "parent_node_id": "node_3222", "improvement_over_parent": null }, "node_3224": { "node_id": "node_3224", "content": "MODIFICATION: Increase 3 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.98880331949658, "fos_buckling": 1.5500438508119128, "fos_yielding": 6.311416807509937, "deflection": 0.0014946272070068777, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.353)" }, "parent_node_id": "node_3223", "improvement_over_parent": null }, "node_3225": { "node_id": "node_3225", "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.16 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1578078861033, "fos_buckling": 1.5521167586182947, "fos_yielding": 6.319857204317274, "deflection": 0.00148999078750006, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.418)" }, "parent_node_id": "node_3224", "improvement_over_parent": null }, "node_3226": { "node_id": "node_3226", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3225", "improvement_over_parent": null }, "node_3227": { "node_id": "node_3227", "content": "INITIAL DESIGN (Trace 466)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0011)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0015)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0012)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0018)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0025)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0017)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0017)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0020)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n\nPerformance:\n Mass: 88.82 kg\n Factor of Safety: 0.38\n Max Deflection: 4.00e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.81648897372088, "fos_buckling": 0.3754669669572247, "fos_yielding": 2.652085716282769, "deflection": 0.003997948452984562, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3228": { "node_id": "node_3228", "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0020)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0032)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0022)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0025)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n Mass: 111.91 kg\n Factor of Safety: 0.46\n Max Deflection: 3.19e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.91324472271295, "fos_buckling": 0.4610659409802601, "fos_yielding": 3.3383096804972587, "deflection": 0.0031886514295928203, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.274)" }, "parent_node_id": "node_3227", "improvement_over_parent": null }, "node_3229": { "node_id": "node_3229", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 141.60 kg\n Factor of Safety: 0.56\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 141.59592431209546, "fos_buckling": 0.5639824293279855, "fos_yielding": 4.198516097562021, "deflection": 0.002536268155762909, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.284)" }, "parent_node_id": "node_3228", "improvement_over_parent": null }, "node_3230": { "node_id": "node_3230", "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 142.62 kg\n Factor of Safety: 0.56\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.6246716610288, "fos_buckling": 0.5639188477326468, "fos_yielding": 4.198042770136101, "deflection": 0.0025199338715700013, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.214)" }, "parent_node_id": "node_3229", "improvement_over_parent": null }, "node_3231": { "node_id": "node_3231", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.38 kg\n Factor of Safety: 1.26\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.38060252743693, "fos_buckling": 1.2586947540033253, "fos_yielding": 4.924836907356672, "deflection": 0.0019106273546975654, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003155)" }, "parent_node_id": "node_3230", "improvement_over_parent": null }, "node_3232": { "node_id": "node_3232", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 178.27 kg\n Factor of Safety: 1.39\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.2679375409829, "fos_buckling": 1.3899699678282094, "fos_yielding": 5.531875520644001, "deflection": 0.001701362862732097, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.136)" }, "parent_node_id": "node_3231", "improvement_over_parent": null }, "node_3233": { "node_id": "node_3233", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0689780822785, "fos_buckling": 1.5515653836509415, "fos_yielding": 6.315727168648337, "deflection": 0.0014906547709916584, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3232", "improvement_over_parent": null }, "node_3234": { "node_id": "node_3234", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3233", "improvement_over_parent": null }, "node_3235": { "node_id": "node_3235", "content": "INITIAL DESIGN (Trace 467)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n Mass: 105.83 kg\n Factor of Safety: 0.23\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 105.82864381521709, "fos_buckling": 0.23037924618984246, "fos_yielding": 1.8423134505121213, "deflection": 0.006511019822289563, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3236": { "node_id": "node_3236", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 120.57 kg\n Factor of Safety: 0.23\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.56903575372203, "fos_buckling": 0.2301902841704946, "fos_yielding": 1.8408023453425453, "deflection": 0.006088293912027772, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002938)" }, "parent_node_id": "node_3235", "improvement_over_parent": null }, "node_3237": { "node_id": "node_3237", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 134.04 kg\n Factor of Safety: 0.25\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 134.04333182955327, "fos_buckling": 0.25194859857876684, "fos_yielding": 2.0432371745888362, "deflection": 0.005484899221480271, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.120)" }, "parent_node_id": "node_3236", "improvement_over_parent": null }, "node_3238": { "node_id": "node_3238", "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 135.94 kg\n Factor of Safety: 0.25\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.9438311699646, "fos_buckling": 0.2518953989334359, "fos_yielding": 2.0428057393928145, "deflection": 0.005485760801543122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.451)" }, "parent_node_id": "node_3237", "improvement_over_parent": null }, "node_3239": { "node_id": "node_3239", "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 137.41 kg\n Factor of Safety: 0.25\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.41145926896093, "fos_buckling": 0.25185433178860916, "fos_yielding": 2.0424726955996064, "deflection": 0.005468286464021423, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.323)" }, "parent_node_id": "node_3238", "improvement_over_parent": null }, "node_3240": { "node_id": "node_3240", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 170.33 kg\n Factor of Safety: 0.30\n Max Deflection: 4.43e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.3259621020407, "fos_buckling": 0.30060104106246877, "fos_yielding": 2.522755989839101, "deflection": 0.004427078863577327, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.263)" }, "parent_node_id": "node_3239", "improvement_over_parent": null }, "node_3241": { "node_id": "node_3241", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.18 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.18385303040455, "fos_buckling": 1.5520934777870754, "fos_yielding": 6.319440956636593, "deflection": 0.0014898793215896507, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)" }, "parent_node_id": "node_3240", "improvement_over_parent": null }, "node_3242": { "node_id": "node_3242", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3241", "improvement_over_parent": null }, "node_3243": { "node_id": "node_3243", "content": "INITIAL DESIGN (Trace 468)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n Mass: 97.26 kg\n Factor of Safety: 0.37\n Max Deflection: 4.20e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 97.26189706759031, "fos_buckling": 0.36608669341354155, "fos_yielding": 4.153980832541807, "deflection": 4203182004927.9644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3244": { "node_id": "node_3244", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 108.37 kg\n Factor of Safety: 0.08\n Max Deflection: 1.11e+13 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 108.37368453963802, "fos_buckling": 0.07812230062472897, "fos_yielding": 0.8695691094330843, "deflection": 11137815162051.752, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002467)" }, "parent_node_id": "node_3243", "improvement_over_parent": null }, "node_3245": { "node_id": "node_3245", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 122.26 kg\n Factor of Safety: 0.66\n Max Deflection: 2.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.26405535012555, "fos_buckling": 0.6612074506495411, "fos_yielding": 3.3042443343744217, "deflection": 0.0029850678937850842, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002758)" }, "parent_node_id": "node_3244", "improvement_over_parent": null }, "node_3246": { "node_id": "node_3246", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 137.22 kg\n Factor of Safety: 0.73\n Max Deflection: 2.66e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 137.22021292486292, "fos_buckling": 0.7319619053272085, "fos_yielding": 3.7027421066113586, "deflection": 0.0026631741679808353, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.131)" }, "parent_node_id": "node_3245", "improvement_over_parent": null }, "node_3247": { "node_id": "node_3247", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 140.41 kg\n Factor of Safety: 0.73\n Max Deflection: 2.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.40767126563836, "fos_buckling": 0.7320979768491979, "fos_yielding": 3.702086209279455, "deflection": 0.0025294501177775502, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001886)" }, "parent_node_id": "node_3246", "improvement_over_parent": null }, "node_3248": { "node_id": "node_3248", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n\nPerformance:\n Mass: 156.72 kg\n Factor of Safety: 1.25\n Max Deflection: 1.93e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.72404404683687, "fos_buckling": 1.2474263741836624, "fos_yielding": 4.874912025739174, "deflection": 0.0019304555599850373, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003192)" }, "parent_node_id": "node_3247", "improvement_over_parent": null }, "node_3249": { "node_id": "node_3249", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1319849589372, "fos_buckling": 1.5518693125248872, "fos_yielding": 6.318585378879978, "deflection": 0.0014902064280305335, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3248", "improvement_over_parent": null }, "node_3250": { "node_id": "node_3250", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3249", "improvement_over_parent": null }, "node_3251": { "node_id": "node_3251", "content": "INITIAL DESIGN (Trace 469)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3252": { "node_id": "node_3252", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 171.56 kg\n Factor of Safety: 1.03\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.55625606418494, "fos_buckling": 1.0325122230532406, "fos_yielding": 5.250344987994438, "deflection": 0.0018082111669884978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_3251", "improvement_over_parent": null }, "node_3253": { "node_id": "node_3253", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 173.86 kg\n Factor of Safety: 1.03\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.86208496543014, "fos_buckling": 1.0325122230532406, "fos_yielding": 5.250344987994438, "deflection": 0.0018082111669884978, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.252)" }, "parent_node_id": "node_3252", "improvement_over_parent": null }, "node_3254": { "node_id": "node_3254", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 190.11 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.10743120642724, "fos_buckling": 1.0306268118278998, "fos_yielding": 5.289666442896364, "deflection": 0.001620965688515085, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)" }, "parent_node_id": "node_3253", "improvement_over_parent": null }, "node_3255": { "node_id": "node_3255", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 205.70 kg\n Factor of Safety: 1.39\n Max Deflection: 1.49e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.70225127682104, "fos_buckling": 1.3870628455838647, "fos_yielding": 6.376583366488412, "deflection": 0.0014895010975390446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_3254", "improvement_over_parent": null }, "node_3256": { "node_id": "node_3256", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3255", "improvement_over_parent": null }, "node_3257": { "node_id": "node_3257", "content": "INITIAL DESIGN (Trace 470)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 157.93 kg\n Factor of Safety: 0.61\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.92533041699835, "fos_buckling": 0.6132230748881706, "fos_yielding": 4.326425655425191, "deflection": 0.0022811759220357016, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3258": { "node_id": "node_3258", "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0022)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0030)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 159.94 kg\n Factor of Safety: 0.62\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.93955670929319, "fos_buckling": 0.6173381475784483, "fos_yielding": 4.316010698168162, "deflection": 0.0022776955960051425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.205)" }, "parent_node_id": "node_3257", "improvement_over_parent": null }, "node_3259": { "node_id": "node_3259", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 176.87 kg\n Factor of Safety: 0.67\n Max Deflection: 2.06e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 176.8674407349332, "fos_buckling": 0.6746425929568293, "fos_yielding": 4.766291236402255, "deflection": 0.002062371743654143, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.116)" }, "parent_node_id": "node_3258", "improvement_over_parent": null }, "node_3260": { "node_id": "node_3260", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 190.74 kg\n Factor of Safety: 1.03\n Max Deflection: 1.56e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.73779860589107, "fos_buckling": 1.0255009502898467, "fos_yielding": 6.183260928691052, "deflection": 0.0015566439973345213, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_3259", "improvement_over_parent": null }, "node_3261": { "node_id": "node_3261", "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0078)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 1.04\n Max Deflection: 1.43e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.138961748634, "fos_buckling": 1.0361873715204046, "fos_yielding": 5.935011913211136, "deflection": 0.0014263835876889052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.456)" }, "parent_node_id": "node_3260", "improvement_over_parent": null }, "node_3262": { "node_id": "node_3262", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0078)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 212.00 kg\n Factor of Safety: 1.29\n Max Deflection: 1.38e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 212.00483793704748, "fos_buckling": 1.2901976703439209, "fos_yielding": 6.001757601327152, "deflection": 0.001384470157244316, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_3261", "improvement_over_parent": null }, "node_3263": { "node_id": "node_3263", "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0078)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0051)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 215.57 kg\n Factor of Safety: 1.27\n Max Deflection: 1.37e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 215.56951742269123, "fos_buckling": 1.2746221743090824, "fos_yielding": 6.009531524541299, "deflection": 0.001371072946391446, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.188)" }, "parent_node_id": "node_3262", "improvement_over_parent": null }, "node_3264": { "node_id": "node_3264", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3263", "improvement_over_parent": null }, "node_3265": { "node_id": "node_3265", "content": "INITIAL DESIGN (Trace 471)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 128.70 kg\n Factor of Safety: 0.74\n Max Deflection: 2.36e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.70088715334498, "fos_buckling": 0.7444488956574411, "fos_yielding": 3.6324066997180053, "deflection": 0.0023598677799762102, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3266": { "node_id": "node_3266", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 153.35 kg\n Factor of Safety: 0.87\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.3459293863704, "fos_buckling": 0.8668870696427607, "fos_yielding": 4.316944135852832, "deflection": 0.0019859271073714066, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.206)" }, "parent_node_id": "node_3265", "improvement_over_parent": null }, "node_3267": { "node_id": "node_3267", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 188.54 kg\n Factor of Safety: 1.03\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 188.53998220949558, "fos_buckling": 1.0305572550113191, "fos_yielding": 5.288459607156707, "deflection": 0.001621407831820219, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.252)" }, "parent_node_id": "node_3266", "improvement_over_parent": null }, "node_3268": { "node_id": "node_3268", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.13480227988939, "fos_buckling": 1.5519034473596747, "fos_yielding": 6.3187732838479205, "deflection": 0.0014901799509986478, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_3267", "improvement_over_parent": null }, "node_3269": { "node_id": "node_3269", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3268", "improvement_over_parent": null }, "node_3270": { "node_id": "node_3270", "content": "INITIAL DESIGN (Trace 472)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 88.18 kg\n Factor of Safety: 0.59\n Max Deflection: 3.58e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 88.17792403156484, "fos_buckling": 0.5913119869881573, "fos_yielding": 2.82805271697557, "deflection": 0.0035836828901976703, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3271": { "node_id": "node_3271", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0012)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0015)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n\nPerformance:\n Mass: 96.41 kg\n Factor of Safety: 0.59\n Max Deflection: 3.33e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 96.40543221103925, "fos_buckling": 0.5902353921628849, "fos_yielding": 2.8228632233827904, "deflection": 0.003325563575657207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002154)" }, "parent_node_id": "node_3270", "improvement_over_parent": null }, "node_3272": { "node_id": "node_3272", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n\nPerformance:\n Mass: 126.19 kg\n Factor of Safety: 0.74\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 126.18545333846146, "fos_buckling": 0.7440709498637171, "fos_yielding": 3.6800242010792017, "deflection": 0.0025510342302473795, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_3271", "improvement_over_parent": null }, "node_3273": { "node_id": "node_3273", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0016)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n Mass: 139.85 kg\n Factor of Safety: 0.80\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 139.854801809254, "fos_buckling": 0.8011722090504475, "fos_yielding": 4.124068791671646, "deflection": 0.002141624674748229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002940)" }, "parent_node_id": "node_3272", "improvement_over_parent": null }, "node_3274": { "node_id": "node_3274", "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 180.26 kg\n Factor of Safety: 1.00\n Max Deflection: 1.67e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 180.25603806977676, "fos_buckling": 1.0039230674525546, "fos_yielding": 5.288836703076274, "deflection": 0.001669423577518342, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.316)" }, "parent_node_id": "node_3273", "improvement_over_parent": null }, "node_3275": { "node_id": "node_3275", "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0088)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 198.74 kg\n Factor of Safety: 1.00\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.7405924759614, "fos_buckling": 1.0019260609114267, "fos_yielding": 5.278044732550719, "deflection": 0.0015178929907048945, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.642)" }, "parent_node_id": "node_3274", "improvement_over_parent": null }, "node_3276": { "node_id": "node_3276", "content": "MODIFICATION: Increase 11 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0088)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 205.62 kg\n Factor of Safety: 1.00\n Max Deflection: 1.46e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.62013396954876, "fos_buckling": 0.9997057029963091, "fos_yielding": 5.272039069253541, "deflection": 0.0014597859895936042, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.370)" }, "parent_node_id": "node_3275", "improvement_over_parent": null }, "node_3277": { "node_id": "node_3277", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0088)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0058)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 221.21 kg\n Factor of Safety: 1.18\n Max Deflection: 1.34e-03 m\n Status: INFEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 221.21495403994257, "fos_buckling": 1.176724699750313, "fos_yielding": 5.904475604210527, "deflection": 0.0013391645034253816, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_3276", "improvement_over_parent": null }, "node_3278": { "node_id": "node_3278", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3277", "improvement_over_parent": null }, "node_3279": { "node_id": "node_3279", "content": "INITIAL DESIGN (Trace 473)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 120.61 kg\n Factor of Safety: 0.72\n Max Deflection: 2.71e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.60554422764149, "fos_buckling": 0.7167317150393101, "fos_yielding": 2.2497823952580687, "deflection": 0.002708719823464667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3280": { "node_id": "node_3280", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0011)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0027)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0023)]\n\nPerformance:\n Mass: 130.80 kg\n Factor of Safety: 0.95\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 130.79647782932662, "fos_buckling": 0.9470101344814846, "fos_yielding": 2.17341239483087, "deflection": 0.002524987874919904, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002303)" }, "parent_node_id": "node_3279", "improvement_over_parent": null }, "node_3281": { "node_id": "node_3281", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 153.78 kg\n Factor of Safety: 1.09\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.77792544273905, "fos_buckling": 1.0910065418549322, "fos_yielding": 2.561678566949771, "deflection": 0.002151190303362681, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.188)" }, "parent_node_id": "node_3280", "improvement_over_parent": null }, "node_3282": { "node_id": "node_3282", "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0040)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0027)]\n\nPerformance:\n Mass: 154.72 kg\n Factor of Safety: 1.21\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.72111553317754, "fos_buckling": 1.211124159409894, "fos_yielding": 3.267886024814899, "deflection": 0.0020498616635208906, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.325)" }, "parent_node_id": "node_3281", "improvement_over_parent": null }, "node_3283": { "node_id": "node_3283", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 201.56 kg\n Factor of Safety: 1.50\n Max Deflection: 1.58e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 201.56302796148887, "fos_buckling": 1.501326796535159, "fos_yielding": 4.269144003882572, "deflection": 0.0015800766534229845, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.332)" }, "parent_node_id": "node_3282", "improvement_over_parent": null }, "node_3284": { "node_id": "node_3284", "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.32 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.32101975607517, "fos_buckling": 1.553108767143981, "fos_yielding": 6.323342886412099, "deflection": 0.0014888531700025169, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.580)" }, "parent_node_id": "node_3283", "improvement_over_parent": null }, "node_3285": { "node_id": "node_3285", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3284", "improvement_over_parent": null }, "node_3286": { "node_id": "node_3286", "content": "INITIAL DESIGN (Trace 474)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0017)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 110.57 kg\n Factor of Safety: 0.74\n Max Deflection: 3.10e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 110.57178315913217, "fos_buckling": 0.7377278606401656, "fos_yielding": 3.500011089000799, "deflection": 0.003096992762249953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3287": { "node_id": "node_3287", "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0027)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 111.48 kg\n Factor of Safety: 0.74\n Max Deflection: 3.09e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.48195632220579, "fos_buckling": 0.7376530143474517, "fos_yielding": 3.4996559948414956, "deflection": 0.003091252695498935, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.203)" }, "parent_node_id": "node_3286", "improvement_over_parent": null }, "node_3288": { "node_id": "node_3288", "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 118.24 kg\n Factor of Safety: 0.83\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.23781831178641, "fos_buckling": 0.8330336971977825, "fos_yielding": 3.497022519350964, "deflection": 0.002766564669372035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.406)" }, "parent_node_id": "node_3287", "improvement_over_parent": null }, "node_3289": { "node_id": "node_3289", "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 120.57 kg\n Factor of Safety: 0.83\n Max Deflection: 2.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 120.57174484782497, "fos_buckling": 0.8330336971977825, "fos_yielding": 3.497022519350964, "deflection": 0.002766564669372035, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.484)" }, "parent_node_id": "node_3288", "improvement_over_parent": null }, "node_3290": { "node_id": "node_3290", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n\nPerformance:\n Mass: 132.33 kg\n Factor of Safety: 0.70\n Max Deflection: 2.68e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.3256131583019, "fos_buckling": 0.6950069337119631, "fos_yielding": 3.492450224794391, "deflection": 0.002682238980115288, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002619)" }, "parent_node_id": "node_3289", "improvement_over_parent": null }, "node_3291": { "node_id": "node_3291", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n\nPerformance:\n Mass: 155.96 kg\n Factor of Safety: 0.80\n Max Deflection: 2.28e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.9642299625505, "fos_buckling": 0.8017858091622713, "fos_yielding": 4.106454331197635, "deflection": 0.0022799847285740324, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.193)" }, "parent_node_id": "node_3290", "improvement_over_parent": null }, "node_3292": { "node_id": "node_3292", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 182.80 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.80190557553837, "fos_buckling": 0.9165805055478529, "fos_yielding": 4.799986701711176, "deflection": 0.0019493969973904443, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3291", "improvement_over_parent": null }, "node_3293": { "node_id": "node_3293", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.050297082455, "fos_buckling": 1.5508305327177896, "fos_yielding": 6.317509131682537, "deflection": 0.0014908829664626577, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_3292", "improvement_over_parent": null }, "node_3294": { "node_id": "node_3294", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3293", "improvement_over_parent": null }, "node_3295": { "node_id": "node_3295", "content": "INITIAL DESIGN (Trace 475)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 159.54 kg\n Factor of Safety: 1.19\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.53999728136452, "fos_buckling": 1.1897878862346363, "fos_yielding": 5.2025934145382795, "deflection": 0.0018446791228235973, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3296": { "node_id": "node_3296", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.28 kg\n Factor of Safety: 1.37\n Max Deflection: 1.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.27909910259547, "fos_buckling": 1.3682232711444897, "fos_yielding": 6.183503168311113, "deflection": 0.0015523601183750535, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.211)" }, "parent_node_id": "node_3295", "improvement_over_parent": null }, "node_3297": { "node_id": "node_3297", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 198.14 kg\n Factor of Safety: 1.52\n Max Deflection: 1.51e-03 m\n Status: FEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 198.14497529100896, "fos_buckling": 1.5177666743492377, "fos_yielding": 6.253754490464359, "deflection": 0.0015090714549901372, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)" }, "parent_node_id": "node_3296", "improvement_over_parent": null }, "node_3298": { "node_id": "node_3298", "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 203.24 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 203.24030295521396, "fos_buckling": 1.534553721073635, "fos_yielding": 6.248435163136466, "deflection": 0.0014898047072835342, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(14, thickness, 1.284)" }, "parent_node_id": "node_3297", "improvement_over_parent": null }, "node_3299": { "node_id": "node_3299", "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0043)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0053)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 205.92 kg\n Factor of Safety: 1.53\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.92363690259705, "fos_buckling": 1.53163443945499, "fos_yielding": 6.2365483574374885, "deflection": 0.0014835121184532606, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.193)" }, "parent_node_id": "node_3298", "improvement_over_parent": null }, "node_3300": { "node_id": "node_3300", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3299", "improvement_over_parent": null }, "node_3301": { "node_id": "node_3301", "content": "INITIAL DESIGN (Trace 476)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 147.02 kg\n Factor of Safety: 0.80\n Max Deflection: 1.17e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.01600373953627, "fos_buckling": 0.8016703658848143, "fos_yielding": 6.209309734903838, "deflection": 1168772834708.229, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3302": { "node_id": "node_3302", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.45 kg\n Factor of Safety: 0.40\n Max Deflection: 3.55e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.44953528842262, "fos_buckling": 0.40083518294240716, "fos_yielding": 3.104654867451919, "deflection": 3554585205832.9478, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003301)" }, "parent_node_id": "node_3301", "improvement_over_parent": null }, "node_3303": { "node_id": "node_3303", "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 167.33 kg\n Factor of Safety: 0.27\n Max Deflection: 2.05e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.32600881180167, "fos_buckling": 0.2672234552949381, "fos_yielding": 2.069769911634612, "deflection": 2045114430631.2383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.259)" }, "parent_node_id": "node_3302", "improvement_over_parent": null }, "node_3304": { "node_id": "node_3304", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 182.92 kg\n Factor of Safety: 0.92\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 182.92082888219548, "fos_buckling": 0.9170766233933105, "fos_yielding": 4.802308478435139, "deflection": 0.001948092212279138, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)" }, "parent_node_id": "node_3303", "improvement_over_parent": null }, "node_3305": { "node_id": "node_3305", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1692203891121, "fos_buckling": 1.5521414319581375, "fos_yielding": 6.3199576683988, "deflection": 0.0014899172019353984, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)" }, "parent_node_id": "node_3304", "improvement_over_parent": null }, "node_3306": { "node_id": "node_3306", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3305", "improvement_over_parent": null }, "node_3307": { "node_id": "node_3307", "content": "INITIAL DESIGN (Trace 477)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0012)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0017)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0015)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 111.07 kg\n Factor of Safety: 0.17\n Max Deflection: 7.28e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 111.07482419427816, "fos_buckling": 0.16581742775462593, "fos_yielding": 1.2770924724553698, "deflection": 0.007278825159699927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3308": { "node_id": "node_3308", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 127.69 kg\n Factor of Safety: 0.19\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.68804383055773, "fos_buckling": 0.18831513057213087, "fos_yielding": 1.4689797469745005, "deflection": 0.006337399837944052, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.160)" }, "parent_node_id": "node_3307", "improvement_over_parent": null }, "node_3309": { "node_id": "node_3309", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 154.12 kg\n Factor of Safety: 1.07\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.11869284606092, "fos_buckling": 1.0708007291853852, "fos_yielding": 4.803384774815096, "deflection": 0.0019519596097805295, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004101)" }, "parent_node_id": "node_3308", "improvement_over_parent": null }, "node_3310": { "node_id": "node_3310", "content": "MODIFICATION: Increase 8 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0019)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 155.12 kg\n Factor of Safety: 1.08\n Max Deflection: 1.95e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.12011894672116, "fos_buckling": 1.084010886818088, "fos_yielding": 4.808469298310405, "deflection": 0.0019477363880620808, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.209)" }, "parent_node_id": "node_3309", "improvement_over_parent": null }, "node_3311": { "node_id": "node_3311", "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 158.58 kg\n Factor of Safety: 1.13\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.5751587050804, "fos_buckling": 1.133345746842125, "fos_yielding": 4.912609785536029, "deflection": 0.0019058376947930329, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.502)" }, "parent_node_id": "node_3310", "improvement_over_parent": null }, "node_3312": { "node_id": "node_3312", "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n\nPerformance:\n Mass: 159.35 kg\n Factor of Safety: 1.27\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.34574878225504, "fos_buckling": 1.2653259365351932, "fos_yielding": 4.954963256428197, "deflection": 0.001899181154554839, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.372)" }, "parent_node_id": "node_3311", "improvement_over_parent": null }, "node_3313": { "node_id": "node_3313", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.200644459904, "fos_buckling": 1.5524994207718983, "fos_yielding": 6.320473494690042, "deflection": 0.0014896519455563852, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.309)" }, "parent_node_id": "node_3312", "improvement_over_parent": null }, "node_3314": { "node_id": "node_3314", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3313", "improvement_over_parent": null }, "node_3315": { "node_id": "node_3315", "content": "INITIAL DESIGN (Trace 478)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 127.53 kg\n Factor of Safety: 0.81\n Max Deflection: 2.41e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.5304060511024, "fos_buckling": 0.807953114795419, "fos_yielding": 3.9635313349671244, "deflection": 0.0024128462595742425, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3316": { "node_id": "node_3316", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nPerformance:\n Mass: 152.72 kg\n Factor of Safety: 0.94\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 152.72044616497578, "fos_buckling": 0.9426174736554896, "fos_yielding": 4.737414082909549, "deflection": 0.002019418748683101, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.214)" }, "parent_node_id": "node_3315", "improvement_over_parent": null }, "node_3317": { "node_id": "node_3317", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 166.67 kg\n Factor of Safety: 0.96\n Max Deflection: 2.02e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.67345088197013, "fos_buckling": 0.9622114198818266, "fos_yielding": 4.690110425949307, "deflection": 0.0020208005914631806, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003225)" }, "parent_node_id": "node_3316", "improvement_over_parent": null }, "node_3318": { "node_id": "node_3318", "content": "MODIFICATION: Increase 13 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n\nPerformance:\n Mass: 172.01 kg\n Factor of Safety: 0.97\n Max Deflection: 2.00e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 172.0055190928746, "fos_buckling": 0.9664134324724681, "fos_yielding": 4.680334941938423, "deflection": 0.0020019476278296177, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.328)" }, "parent_node_id": "node_3317", "improvement_over_parent": null }, "node_3319": { "node_id": "node_3319", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0049)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0032)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n\nPerformance:\n Mass: 184.42 kg\n Factor of Safety: 1.42\n Max Deflection: 1.65e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 184.4156150861826, "fos_buckling": 1.416540000926121, "fos_yielding": 5.66077101200396, "deflection": 0.001652915475960644, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003341)" }, "parent_node_id": "node_3318", "improvement_over_parent": null }, "node_3320": { "node_id": "node_3320", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0055)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.55\n Max Deflection: 1.48e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 206.0018744477622, "fos_buckling": 1.54998491240592, "fos_yielding": 6.311417263577733, "deflection": 0.001483010053240651, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.129)" }, "parent_node_id": "node_3319", "improvement_over_parent": null }, "node_3321": { "node_id": "node_3321", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3320", "improvement_over_parent": null }, "node_3322": { "node_id": "node_3322", "content": "INITIAL DESIGN (Trace 479)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0022)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 122.52 kg\n Factor of Safety: 0.81\n Max Deflection: 2.54e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.52179809533692, "fos_buckling": 0.8068984643211601, "fos_yielding": 2.709094043944753, "deflection": 0.0025442948863455207, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3323": { "node_id": "node_3323", "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0021)]\n\nPerformance:\n Mass: 157.03 kg\n Factor of Safety: 1.01\n Max Deflection: 1.99e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.02883458862266, "fos_buckling": 1.0104437627553444, "fos_yielding": 3.4769362355373024, "deflection": 0.0019916574949100743, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.302)" }, "parent_node_id": "node_3322", "improvement_over_parent": null }, "node_3324": { "node_id": "node_3324", "content": "MODIFICATION: Increase 15 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 163.16 kg\n Factor of Safety: 1.19\n Max Deflection: 1.94e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.1589154209192, "fos_buckling": 1.192373314163663, "fos_yielding": 3.470498980626541, "deflection": 0.0019379695074635253, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.621)" }, "parent_node_id": "node_3323", "improvement_over_parent": null }, "node_3325": { "node_id": "node_3325", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 198.16 kg\n Factor of Safety: 1.41\n Max Deflection: 1.60e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.16181334200672, "fos_buckling": 1.414575719986609, "fos_yielding": 4.224063810146515, "deflection": 0.001600518708955008, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.235)" }, "parent_node_id": "node_3324", "improvement_over_parent": null }, "node_3326": { "node_id": "node_3326", "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 201.59 kg\n Factor of Safety: 1.50\n Max Deflection: 1.58e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 201.58977815165872, "fos_buckling": 1.4965662160961937, "fos_yielding": 4.232716040030033, "deflection": 0.0015820144903898323, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.211)" }, "parent_node_id": "node_3325", "improvement_over_parent": null }, "node_3327": { "node_id": "node_3327", "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.40 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.4018685936474, "fos_buckling": 1.5535458753582219, "fos_yielding": 6.327197968754812, "deflection": 0.0014882561872220385, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.597)" }, "parent_node_id": "node_3326", "improvement_over_parent": null }, "node_3328": { "node_id": "node_3328", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3327", "improvement_over_parent": null }, "node_3329": { "node_id": "node_3329", "content": "INITIAL DESIGN (Trace 480)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 154.98 kg\n Factor of Safety: 1.24\n Max Deflection: 2.03e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.98063672200095, "fos_buckling": 1.2384662816853154, "fos_yielding": 3.3139185196140972, "deflection": 0.002034412117752479, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3330": { "node_id": "node_3330", "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 157.22 kg\n Factor of Safety: 1.21\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.22116839880468, "fos_buckling": 1.2081458046952673, "fos_yielding": 4.883322038154746, "deflection": 0.0019136022105054509, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.597)" }, "parent_node_id": "node_3329", "improvement_over_parent": null }, "node_3331": { "node_id": "node_3331", "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 158.94 kg\n Factor of Safety: 1.26\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.94281874634856, "fos_buckling": 1.2624685866988383, "fos_yielding": 4.94302633052901, "deflection": 0.0019040032459932397, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.292)" }, "parent_node_id": "node_3330", "improvement_over_parent": null }, "node_3332": { "node_id": "node_3332", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.12139268450946, "fos_buckling": 1.5518629707808094, "fos_yielding": 6.318555441296555, "deflection": 0.0014902892822348506, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_3331", "improvement_over_parent": null }, "node_3333": { "node_id": "node_3333", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3332", "improvement_over_parent": null }, "node_3334": { "node_id": "node_3334", "content": "INITIAL DESIGN (Trace 481)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (12 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3335": { "node_id": "node_3335", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n Mass: 109.31 kg\n Factor of Safety: 0.43\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.31168969546792, "fos_buckling": 0.4338233256027586, "fos_yielding": 2.381675567828371, "deflection": 0.005529466441052372, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002515)" }, "parent_node_id": "node_3334", "improvement_over_parent": null }, "node_3336": { "node_id": "node_3336", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n\nPerformance:\n Mass: 123.56 kg\n Factor of Safety: 0.65\n Max Deflection: 3.26e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 123.56187022373267, "fos_buckling": 0.6548657250591824, "fos_yielding": 2.887160197745785, "deflection": 0.003261049024191189, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002763)" }, "parent_node_id": "node_3335", "improvement_over_parent": null }, "node_3337": { "node_id": "node_3337", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0017)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n\nPerformance:\n Mass: 132.86 kg\n Factor of Safety: 0.65\n Max Deflection: 2.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.86289934597423, "fos_buckling": 0.6535282772782529, "fos_yielding": 3.5901603681703422, "deflection": 0.002620243043225947, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002452)" }, "parent_node_id": "node_3336", "improvement_over_parent": null }, "node_3338": { "node_id": "node_3338", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0021)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 162.99 kg\n Factor of Safety: 0.78\n Max Deflection: 2.14e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.99039744731107, "fos_buckling": 0.7762553633527227, "fos_yielding": 4.403639673865346, "deflection": 0.0021430971706337953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_3337", "improvement_over_parent": null }, "node_3339": { "node_id": "node_3339", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 198.05 kg\n Factor of Safety: 0.91\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.04894816927145, "fos_buckling": 0.9076839522312776, "fos_yielding": 5.351345847634219, "deflection": 0.0017705720738429576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.236)" }, "parent_node_id": "node_3338", "improvement_over_parent": null }, "node_3340": { "node_id": "node_3340", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 202.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.54e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.2003232161933, "fos_buckling": 1.5475932509687844, "fos_yielding": 4.979638185192395, "deflection": 0.001542761222800923, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3339", "improvement_over_parent": null }, "node_3341": { "node_id": "node_3341", "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.07 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0669496785686, "fos_buckling": 1.55153785342723, "fos_yielding": 6.316956206860034, "deflection": 0.0014906449671528632, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.332)" }, "parent_node_id": "node_3340", "improvement_over_parent": null }, "node_3342": { "node_id": "node_3342", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3341", "improvement_over_parent": null }, "node_3343": { "node_id": "node_3343", "content": "INITIAL DESIGN (Trace 482)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 144.11 kg\n Factor of Safety: 0.92\n Max Deflection: 2.50e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.11390334700295, "fos_buckling": 0.9184370213978765, "fos_yielding": 3.9150914914912236, "deflection": 0.002503818991580696, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3344": { "node_id": "node_3344", "content": "MODIFICATION: Increase 2 thickness by 55%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 145.43 kg\n Factor of Safety: 0.92\n Max Deflection: 2.47e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.4345275629444, "fos_buckling": 0.9183696481641543, "fos_yielding": 3.91480429447286, "deflection": 0.0024691548464289993, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.553)" }, "parent_node_id": "node_3343", "improvement_over_parent": null }, "node_3345": { "node_id": "node_3345", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 162.69 kg\n Factor of Safety: 1.08\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.6912571414084, "fos_buckling": 1.0826784684588793, "fos_yielding": 4.263917519246942, "deflection": 0.0019832493067610036, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003390)" }, "parent_node_id": "node_3344", "improvement_over_parent": null }, "node_3346": { "node_id": "node_3346", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 200.47 kg\n Factor of Safety: 1.28\n Max Deflection: 1.62e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.47154296523505, "fos_buckling": 1.2849738604083865, "fos_yielding": 5.232731981303058, "deflection": 0.0016165661266764999, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.255)" }, "parent_node_id": "node_3345", "improvement_over_parent": null }, "node_3347": { "node_id": "node_3347", "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n\nPerformance:\n Mass: 204.30 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.30241364906848, "fos_buckling": 1.5529309636873334, "fos_yielding": 6.323919706708959, "deflection": 0.0014889619953674985, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)" }, "parent_node_id": "node_3346", "improvement_over_parent": null }, "node_3348": { "node_id": "node_3348", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3347", "improvement_over_parent": null }, "node_3349": { "node_id": "node_3349", "content": "INITIAL DESIGN (Trace 483)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 135.87 kg\n Factor of Safety: 0.56\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 135.87019429453665, "fos_buckling": 0.5553917030398694, "fos_yielding": 3.9988866138541135, "deflection": 0.0025612406581889094, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3350": { "node_id": "node_3350", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0021)]\n\nPerformance:\n Mass: 145.25 kg\n Factor of Safety: 1.00\n Max Deflection: 2.04e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.2548398787098, "fos_buckling": 1.000816056836499, "fos_yielding": 4.734933521699824, "deflection": 0.0020417876561910652, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002111)" }, "parent_node_id": "node_3349", "improvement_over_parent": null }, "node_3351": { "node_id": "node_3351", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0031)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0021)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 151.17 kg\n Factor of Safety: 1.20\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 151.1698705779189, "fos_buckling": 1.2026950695192153, "fos_yielding": 4.754956257418407, "deflection": 0.001982011746968671, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002086)" }, "parent_node_id": "node_3350", "improvement_over_parent": null }, "node_3352": { "node_id": "node_3352", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 167.17 kg\n Factor of Safety: 1.31\n Max Deflection: 1.80e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.16938386693752, "fos_buckling": 1.3121615028156337, "fos_yielding": 5.248554420970663, "deflection": 0.001795692660858836, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.114)" }, "parent_node_id": "node_3351", "improvement_over_parent": null }, "node_3353": { "node_id": "node_3353", "content": "MODIFICATION: Increase 12 thickness by 27%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0040)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0024)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n\nPerformance:\n Mass: 170.70 kg\n Factor of Safety: 1.30\n Max Deflection: 1.78e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 170.70256386019517, "fos_buckling": 1.301317155249792, "fos_yielding": 5.230779152811536, "deflection": 0.0017821604192695122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.266)" }, "parent_node_id": "node_3352", "improvement_over_parent": null }, "node_3354": { "node_id": "node_3354", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0029)]\n M15: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n\nPerformance:\n Mass: 205.46 kg\n Factor of Safety: 1.51\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 205.4572445097715, "fos_buckling": 1.50756132389637, "fos_yielding": 6.274580826708712, "deflection": 0.0014861983858373983, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.224)" }, "parent_node_id": "node_3353", "improvement_over_parent": null }, "node_3355": { "node_id": "node_3355", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3354", "improvement_over_parent": null }, "node_3356": { "node_id": "node_3356", "content": "INITIAL DESIGN (Trace 484)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 140.90 kg\n Factor of Safety: 0.74\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.89959082495244, "fos_buckling": 0.742217500572103, "fos_yielding": 3.4702320546129966, "deflection": 0.0027942299325458926, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3357": { "node_id": "node_3357", "content": "MODIFICATION: Increase 5 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 142.89 kg\n Factor of Safety: 0.74\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.8889687839224, "fos_buckling": 0.7422175005721038, "fos_yielding": 3.4857343740458924, "deflection": 0.0027929934713762116, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.353)" }, "parent_node_id": "node_3356", "improvement_over_parent": null }, "node_3358": { "node_id": "node_3358", "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 143.63 kg\n Factor of Safety: 0.74\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.62966807945156, "fos_buckling": 0.742157253476891, "fos_yielding": 3.4953443626151093, "deflection": 0.0027924398870662883, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.355)" }, "parent_node_id": "node_3357", "improvement_over_parent": null }, "node_3359": { "node_id": "node_3359", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 146.85 kg\n Factor of Safety: 0.86\n Max Deflection: 2.31e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.85494592585965, "fos_buckling": 0.8578711142322456, "fos_yielding": 4.065781964261731, "deflection": 0.0023127244832548666, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001910)" }, "parent_node_id": "node_3358", "improvement_over_parent": null }, "node_3360": { "node_id": "node_3360", "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n\nPerformance:\n Mass: 148.61 kg\n Factor of Safety: 0.86\n Max Deflection: 2.30e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 148.6071309570371, "fos_buckling": 0.8552485081402467, "fos_yielding": 4.071735447385871, "deflection": 0.0022986154677661235, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(7, thickness, 1.220)" }, "parent_node_id": "node_3359", "improvement_over_parent": null }, "node_3361": { "node_id": "node_3361", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0031)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n\nPerformance:\n Mass: 159.38 kg\n Factor of Safety: 1.25\n Max Deflection: 1.90e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.38395539676233, "fos_buckling": 1.253636991270767, "fos_yielding": 4.932773394193319, "deflection": 0.0019008771140585467, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002869)" }, "parent_node_id": "node_3360", "improvement_over_parent": null }, "node_3362": { "node_id": "node_3362", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0041)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.94 kg\n Factor of Safety: 1.54\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.93771663270076, "fos_buckling": 1.5410756813790767, "fos_yielding": 6.314550010372869, "deflection": 0.0014858029771701114, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.314)" }, "parent_node_id": "node_3361", "improvement_over_parent": null }, "node_3363": { "node_id": "node_3363", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3362", "improvement_over_parent": null }, "node_3364": { "node_id": "node_3364", "content": "INITIAL DESIGN (Trace 485)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 131.29 kg\n Factor of Safety: 0.66\n Max Deflection: 3.44e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.2920555078999, "fos_buckling": 0.6630195663136893, "fos_yielding": 3.46686792729438, "deflection": 3441932913293.5537, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3365": { "node_id": "node_3365", "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n Mass: 132.53 kg\n Factor of Safety: 0.91\n Max Deflection: 1.92e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.5256800691372, "fos_buckling": 0.9138933493898941, "fos_yielding": 4.853615098212132, "deflection": 1915640916042.613, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.255)" }, "parent_node_id": "node_3364", "improvement_over_parent": null }, "node_3366": { "node_id": "node_3366", "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n Mass: 146.22 kg\n Factor of Safety: 0.76\n Max Deflection: 2.24e+12 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 146.21528226648672, "fos_buckling": 0.7556783163395895, "fos_yielding": 5.354983673578857, "deflection": 2240221105126.561, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.112)" }, "parent_node_id": "node_3365", "improvement_over_parent": null }, "node_3367": { "node_id": "node_3367", "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 165.78 kg\n Factor of Safety: 0.18\n Max Deflection: 1.38e+13 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 165.77829450598134, "fos_buckling": 0.17612353821098847, "fos_yielding": 0.7761637168629799, "deflection": 13801497489119.082, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.147)" }, "parent_node_id": "node_3366", "improvement_over_parent": null }, "node_3368": { "node_id": "node_3368", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.09 kg\n Factor of Safety: 0.91\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.08848172938428, "fos_buckling": 0.9101883125867264, "fos_yielding": 5.035076417140556, "deflection": 0.0021277622073954225, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)" }, "parent_node_id": "node_3367", "improvement_over_parent": null }, "node_3369": { "node_id": "node_3369", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 190.24 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.23985677630614, "fos_buckling": 1.0497060012287316, "fos_yielding": 5.243415887963521, "deflection": 0.0017906932609600059, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3368", "improvement_over_parent": null }, "node_3370": { "node_id": "node_3370", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M7: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M8: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.110214647264, "fos_buckling": 1.5517096390967418, "fos_yielding": 6.317760446691495, "deflection": 0.0014903131601813598, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_3369", "improvement_over_parent": null }, "node_3371": { "node_id": "node_3371", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3370", "improvement_over_parent": null }, "node_3372": { "node_id": "node_3372", "content": "INITIAL DESIGN (Trace 486)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 128.67 kg\n Factor of Safety: 0.66\n Max Deflection: 2.85e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.6738928449724, "fos_buckling": 0.6634147200809773, "fos_yielding": 2.6637325571796544, "deflection": 0.0028511040000663212, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3373": { "node_id": "node_3373", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n\nPerformance:\n Mass: 143.06 kg\n Factor of Safety: 0.73\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 143.05665669726858, "fos_buckling": 0.730467012558601, "fos_yielding": 2.966655563484612, "deflection": 0.0025652551998946393, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.121)" }, "parent_node_id": "node_3372", "improvement_over_parent": null }, "node_3374": { "node_id": "node_3374", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n\nPerformance:\n Mass: 154.68 kg\n Factor of Safety: 0.73\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 154.68418975656704, "fos_buckling": 0.7295241868433444, "fos_yielding": 3.011648937846236, "deflection": 0.0024617046784191385, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002589)" }, "parent_node_id": "node_3373", "improvement_over_parent": null }, "node_3375": { "node_id": "node_3375", "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0020)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n\nPerformance:\n Mass: 157.25 kg\n Factor of Safety: 0.73\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.24539586170687, "fos_buckling": 0.7293168368641433, "fos_yielding": 3.0107929479340636, "deflection": 0.002334186665508953, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.618)" }, "parent_node_id": "node_3374", "improvement_over_parent": null }, "node_3376": { "node_id": "node_3376", "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n\nPerformance:\n Mass: 159.14 kg\n Factor of Safety: 0.84\n Max Deflection: 2.20e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 159.13603427997202, "fos_buckling": 0.8382079462154624, "fos_yielding": 4.257575184308632, "deflection": 0.00220195836490466, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(4, thickness, 1.449)" }, "parent_node_id": "node_3375", "improvement_over_parent": null }, "node_3377": { "node_id": "node_3377", "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n\nPerformance:\n Mass: 162.32 kg\n Factor of Safety: 0.84\n Max Deflection: 2.13e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 162.32007344587407, "fos_buckling": 0.8386991577936951, "fos_yielding": 4.2553205035909984, "deflection": 0.002132104486780215, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.256)" }, "parent_node_id": "node_3376", "improvement_over_parent": null }, "node_3378": { "node_id": "node_3378", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0040)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n\nPerformance:\n Mass: 181.13 kg\n Factor of Safety: 1.38\n Max Deflection: 1.68e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 181.13475393210868, "fos_buckling": 1.3835722078964554, "fos_yielding": 5.515989199217263, "deflection": 0.0016796953034099813, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003722)" }, "parent_node_id": "node_3377", "improvement_over_parent": null }, "node_3379": { "node_id": "node_3379", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0046)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n\nPerformance:\n Mass: 204.52 kg\n Factor of Safety: 1.53\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.51632460370743, "fos_buckling": 1.5274110832643226, "fos_yielding": 6.215087215220366, "deflection": 0.0014914976858892508, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.142)" }, "parent_node_id": "node_3378", "improvement_over_parent": null }, "node_3380": { "node_id": "node_3380", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3379", "improvement_over_parent": null }, "node_3381": { "node_id": "node_3381", "content": "INITIAL DESIGN (Trace 487)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0016)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0036)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 133.15 kg\n Factor of Safety: 0.37\n Max Deflection: 6.21e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 133.15197016101345, "fos_buckling": 0.3687387172623056, "fos_yielding": 1.7063875517964646, "deflection": 0.0062113819104598865, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3382": { "node_id": "node_3382", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 155.35 kg\n Factor of Safety: 0.42\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.35478697966246, "fos_buckling": 0.42082334988940023, "fos_yielding": 1.9914816646750149, "deflection": 0.005340205117266165, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.179)" }, "parent_node_id": "node_3381", "improvement_over_parent": null }, "node_3383": { "node_id": "node_3383", "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 157.23 kg\n Factor of Safety: 0.42\n Max Deflection: 5.04e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 157.2320007982662, "fos_buckling": 0.42069196477324633, "fos_yielding": 2.812200906864497, "deflection": 0.005042799565293439, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.443)" }, "parent_node_id": "node_3382", "improvement_over_parent": null }, "node_3384": { "node_id": "node_3384", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 196.90 kg\n Factor of Safety: 0.51\n Max Deflection: 4.05e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 196.9018136034704, "fos_buckling": 0.5062322989272595, "fos_yielding": 3.5028340051790408, "deflection": 0.004053587570024081, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_3383", "improvement_over_parent": null }, "node_3385": { "node_id": "node_3385", "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19733965667336, "fos_buckling": 1.5522949024660986, "fos_yielding": 6.320716561972745, "deflection": 0.0014896535537395903, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)" }, "parent_node_id": "node_3384", "improvement_over_parent": null }, "node_3386": { "node_id": "node_3386", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3385", "improvement_over_parent": null }, "node_3387": { "node_id": "node_3387", "content": "INITIAL DESIGN (Trace 488)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0029)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0020)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0015)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 101.46 kg\n Factor of Safety: 0.45\n Max Deflection: 3.60e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 101.45975952803491, "fos_buckling": 0.45103506076665695, "fos_yielding": 1.8402313760146296, "deflection": 0.0036017741522326487, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3388": { "node_id": "node_3388", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 125.95 kg\n Factor of Safety: 0.55\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 125.94961838167711, "fos_buckling": 0.5538145256791899, "fos_yielding": 2.290828673306443, "deflection": 0.002903384778881315, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.256)" }, "parent_node_id": "node_3387", "improvement_over_parent": null }, "node_3389": { "node_id": "node_3389", "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0014)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0019)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 127.77 kg\n Factor of Safety: 0.55\n Max Deflection: 2.90e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 127.76597368701516, "fos_buckling": 0.5541987368599568, "fos_yielding": 2.290078884917299, "deflection": 0.002903326906007594, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(6, thickness, 1.351)" }, "parent_node_id": "node_3388", "improvement_over_parent": null }, "node_3390": { "node_id": "node_3390", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0023)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 149.88 kg\n Factor of Safety: 0.64\n Max Deflection: 2.48e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 149.87996254536563, "fos_buckling": 0.6437332603912858, "fos_yielding": 2.694149149531074, "deflection": 0.0024759991092021404, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.186)" }, "parent_node_id": "node_3389", "improvement_over_parent": null }, "node_3391": { "node_id": "node_3391", "content": "MODIFICATION: Increase 12 thickness by 53%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 155.72 kg\n Factor of Safety: 0.86\n Max Deflection: 2.33e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 155.7150752281078, "fos_buckling": 0.8621377124879586, "fos_yielding": 2.774781340323474, "deflection": 0.002334203043073834, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(12, thickness, 1.531)" }, "parent_node_id": "node_3390", "improvement_over_parent": null }, "node_3392": { "node_id": "node_3392", "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0030)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 158.22 kg\n Factor of Safety: 0.90\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.22468915936264, "fos_buckling": 0.8988052354264722, "fos_yielding": 4.37351222635238, "deflection": 0.002147214640881164, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(0, thickness, 1.656)" }, "parent_node_id": "node_3391", "improvement_over_parent": null }, "node_3393": { "node_id": "node_3393", "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 190.21 kg\n Factor of Safety: 1.05\n Max Deflection: 1.79e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 190.21092420495276, "fos_buckling": 1.049740572397541, "fos_yielding": 5.245405871789363, "deflection": 0.0017909009042747133, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.222)" }, "parent_node_id": "node_3392", "improvement_over_parent": null }, "node_3394": { "node_id": "node_3394", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n\nPerformance:\n Mass: 204.08 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.08128207591062, "fos_buckling": 1.5515254384844874, "fos_yielding": 6.320171605135814, "deflection": 0.001490495619922596, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)" }, "parent_node_id": "node_3393", "improvement_over_parent": null }, "node_3395": { "node_id": "node_3395", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3394", "improvement_over_parent": null }, "node_3396": { "node_id": "node_3396", "content": "INITIAL DESIGN (Trace 489)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n\nPerformance:\n Mass: 107.75 kg\n Factor of Safety: 0.45\n Max Deflection: 3.32e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.74565696051089, "fos_buckling": 0.44954756042116245, "fos_yielding": 3.245219332861701, "deflection": 0.0033206658561084593, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3397": { "node_id": "node_3397", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0016)]\n\nPerformance:\n Mass: 116.17 kg\n Factor of Safety: 0.78\n Max Deflection: 2.55e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.16646274915271, "fos_buckling": 0.7801333029701258, "fos_yielding": 3.74395208132907, "deflection": 0.0025531387251406493, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001633)" }, "parent_node_id": "node_3396", "improvement_over_parent": null }, "node_3398": { "node_id": "node_3398", "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0013)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 117.85 kg\n Factor of Safety: 0.78\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.85438402716827, "fos_buckling": 0.7827772251771937, "fos_yielding": 3.7411112374459976, "deflection": 0.002524003292596383, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.209)" }, "parent_node_id": "node_3397", "improvement_over_parent": null }, "node_3399": { "node_id": "node_3399", "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0008)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 118.74 kg\n Factor of Safety: 0.78\n Max Deflection: 2.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 118.73580816290553, "fos_buckling": 0.7792252446468086, "fos_yielding": 3.7439314767567407, "deflection": 0.0025197909218554163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(8, thickness, 1.244)" }, "parent_node_id": "node_3398", "improvement_over_parent": null }, "node_3400": { "node_id": "node_3400", "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0020)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0014)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0019)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0022)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0031)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0021)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0020)]\n\nPerformance:\n Mass: 119.59 kg\n Factor of Safety: 0.91\n Max Deflection: 2.51e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.5902271250374, "fos_buckling": 0.9122864694276634, "fos_yielding": 3.7982497992459323, "deflection": 0.002505064711371456, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(3, thickness, 1.629)" }, "parent_node_id": "node_3399", "improvement_over_parent": null }, "node_3401": { "node_id": "node_3401", "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0041)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 156.46 kg\n Factor of Safety: 1.16\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.4616192096967, "fos_buckling": 1.1554228837296492, "fos_yielding": 4.948910990792743, "deflection": 0.001923150629924988, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.330)" }, "parent_node_id": "node_3400", "improvement_over_parent": null }, "node_3402": { "node_id": "node_3402", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 201.00 kg\n Factor of Safety: 1.43\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.99913227440928, "fos_buckling": 1.4259699552653045, "fos_yielding": 6.326108876049285, "deflection": 0.001504945174463941, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.312)" }, "parent_node_id": "node_3401", "improvement_over_parent": null }, "node_3403": { "node_id": "node_3403", "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.21 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.2060772580144, "fos_buckling": 1.5524658956677868, "fos_yielding": 6.321542264687204, "deflection": 0.0014896157402301319, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.206)" }, "parent_node_id": "node_3402", "improvement_over_parent": null }, "node_3404": { "node_id": "node_3404", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3403", "improvement_over_parent": null }, "node_3405": { "node_id": "node_3405", "content": "INITIAL DESIGN (Trace 490)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 147.58 kg\n Factor of Safety: 0.77\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.5769487882324, "fos_buckling": 0.7735843634582068, "fos_yielding": 3.941960278958437, "deflection": 0.002415976937867688, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3406": { "node_id": "node_3406", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 164.96 kg\n Factor of Safety: 1.10\n Max Deflection: 1.84e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 164.95653701474313, "fos_buckling": 1.0997894325299433, "fos_yielding": 5.192315607128916, "deflection": 0.0018441329003034328, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003416)" }, "parent_node_id": "node_3405", "improvement_over_parent": null }, "node_3407": { "node_id": "node_3407", "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 166.36 kg\n Factor of Safety: 1.17\n Max Deflection: 1.82e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 166.36354549914617, "fos_buckling": 1.1686967995841027, "fos_yielding": 5.188283168308204, "deflection": 0.0018201325486203214, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.603)" }, "parent_node_id": "node_3406", "improvement_over_parent": null }, "node_3408": { "node_id": "node_3408", "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n\nPerformance:\n Mass: 167.01 kg\n Factor of Safety: 1.32\n Max Deflection: 1.81e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 167.00789100115705, "fos_buckling": 1.3163343125747118, "fos_yielding": 5.189477003587559, "deflection": 0.0018136903057636843, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.252)" }, "parent_node_id": "node_3407", "improvement_over_parent": null }, "node_3409": { "node_id": "node_3409", "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n\nPerformance:\n Mass: 204.12 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.1192190095627, "fos_buckling": 1.551836861493805, "fos_yielding": 6.318437700707247, "deflection": 0.0014902674902068397, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.244)" }, "parent_node_id": "node_3408", "improvement_over_parent": null }, "node_3410": { "node_id": "node_3410", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3409", "improvement_over_parent": null }, "node_3411": { "node_id": "node_3411", "content": "INITIAL DESIGN (Trace 491)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n\nPerformance:\n Mass: 109.73 kg\n Factor of Safety: 0.03\n Max Deflection: 1.26e+14 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 109.7309588553114, "fos_buckling": 0.031360445610181385, "fos_yielding": 0.09702046460787249, "deflection": 125953192785179.72, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3412": { "node_id": "node_3412", "content": "MODIFICATION: Add member connecting joints 3 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0019)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 122.74 kg\n Factor of Safety: 0.63\n Max Deflection: 2.74e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.74047885839897, "fos_buckling": 0.628706984227236, "fos_yielding": 4.012569159706951, "deflection": 0.002736632976827924, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002573)" }, "parent_node_id": "node_3411", "improvement_over_parent": null }, "node_3413": { "node_id": "node_3413", "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0023)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0033)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0023)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0014)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0026)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 124.27 kg\n Factor of Safety: 0.63\n Max Deflection: 2.73e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 124.26803380288462, "fos_buckling": 0.62860132764043, "fos_yielding": 4.011894832281982, "deflection": 0.0027276521740893615, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(10, thickness, 1.182)" }, "parent_node_id": "node_3412", "improvement_over_parent": null }, "node_3414": { "node_id": "node_3414", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0018)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 158.28 kg\n Factor of Safety: 0.77\n Max Deflection: 2.15e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.28378683179565, "fos_buckling": 0.7715321827620978, "fos_yielding": 5.074568467258594, "deflection": 0.002150276284861473, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.294)" }, "parent_node_id": "node_3413", "improvement_over_parent": null }, "node_3415": { "node_id": "node_3415", "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 163.10 kg\n Factor of Safety: 0.77\n Max Deflection: 2.11e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.10326938246925, "fos_buckling": 0.7703149957482033, "fos_yielding": 5.066562710690729, "deflection": 0.0021056584960163576, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.656)" }, "parent_node_id": "node_3414", "improvement_over_parent": null }, "node_3416": { "node_id": "node_3416", "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 0.91\n Max Deflection: 1.73e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.94251175066913, "fos_buckling": 0.9073209095865501, "fos_yielding": 6.1659271614897895, "deflection": 0.0017253882943662933, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.248)" }, "parent_node_id": "node_3415", "improvement_over_parent": null }, "node_3417": { "node_id": "node_3417", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 204.09 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.09388679759098, "fos_buckling": 1.5516639541329296, "fos_yielding": 6.31761736080491, "deflection": 0.0014904186505448804, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3416", "improvement_over_parent": null }, "node_3418": { "node_id": "node_3418", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3417", "improvement_over_parent": null }, "node_3419": { "node_id": "node_3419", "content": "INITIAL DESIGN (Trace 492)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0048)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0033)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0030)]\n\nPerformance:\n Mass: 163.94 kg\n Factor of Safety: 0.72\n Max Deflection: 1.98e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 163.94151836853155, "fos_buckling": 0.7164482849639509, "fos_yielding": 5.558357853472077, "deflection": 0.001977183434342099, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3420": { "node_id": "node_3420", "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 183.37 kg\n Factor of Safety: 0.79\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 183.36860550113084, "fos_buckling": 0.7872370355462717, "fos_yielding": 6.192298493742595, "deflection": 0.0017717112330368765, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.130)" }, "parent_node_id": "node_3419", "improvement_over_parent": null }, "node_3421": { "node_id": "node_3421", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 200.98 kg\n Factor of Safety: 1.42\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 200.97721127111964, "fos_buckling": 1.4242051648583502, "fos_yielding": 6.326572785767553, "deflection": 0.0015050298357600122, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_3420", "improvement_over_parent": null }, "node_3422": { "node_id": "node_3422", "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.47\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 204.2528845835414, "fos_buckling": 1.4679245811547088, "fos_yielding": 6.3283098930751045, "deflection": 0.0014953715147849505, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.209)" }, "parent_node_id": "node_3421", "improvement_over_parent": null }, "node_3423": { "node_id": "node_3423", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3422", "improvement_over_parent": null }, "node_3424": { "node_id": "node_3424", "content": "INITIAL DESIGN (Trace 493)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 131.06 kg\n Factor of Safety: 0.69\n Max Deflection: 2.46e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 131.0628001910773, "fos_buckling": 0.6860099995153248, "fos_yielding": 4.031953761453194, "deflection": 0.0024635708921118744, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3425": { "node_id": "node_3425", "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0024)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0023)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0026)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0023)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0025)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0029)]\n\nPerformance:\n Mass: 132.13 kg\n Factor of Safety: 0.69\n Max Deflection: 2.42e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 132.12574645452008, "fos_buckling": 0.6857697838075603, "fos_yielding": 4.42810373930959, "deflection": 0.0024155348932950156, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(1, thickness, 1.244)" }, "parent_node_id": "node_3424", "improvement_over_parent": null }, "node_3426": { "node_id": "node_3426", "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0029)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0032)]\n\nPerformance:\n Mass: 147.39 kg\n Factor of Safety: 0.75\n Max Deflection: 2.17e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 147.38807135289437, "fos_buckling": 0.7519939656400643, "fos_yielding": 4.924739886944744, "deflection": 0.002169452153481938, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.124)" }, "parent_node_id": "node_3425", "improvement_over_parent": null }, "node_3427": { "node_id": "node_3427", "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 186.59 kg\n Factor of Safety: 0.91\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 186.59097165800176, "fos_buckling": 0.9102166611722817, "fos_yielding": 6.18680355758336, "deflection": 0.001721867250542531, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.292)" }, "parent_node_id": "node_3426", "improvement_over_parent": null }, "node_3428": { "node_id": "node_3428", "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19957742799056, "fos_buckling": 1.5523146264366359, "fos_yielding": 6.320814703035855, "deflection": 0.0014896339759010516, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)" }, "parent_node_id": "node_3427", "improvement_over_parent": null }, "node_3429": { "node_id": "node_3429", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3428", "improvement_over_parent": null }, "node_3430": { "node_id": "node_3430", "content": "INITIAL DESIGN (Trace 494)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n\nPerformance:\n Mass: 107.25 kg\n Factor of Safety: 0.81\n Max Deflection: 2.79e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 107.24903464192201, "fos_buckling": 0.8053847394636967, "fos_yielding": 3.046855679422351, "deflection": 0.0027891752497280742, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3431": { "node_id": "node_3431", "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0015)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n\nPerformance:\n Mass: 116.62 kg\n Factor of Safety: 0.88\n Max Deflection: 2.57e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 116.6215738995582, "fos_buckling": 0.8834230309811383, "fos_yielding": 3.6768935023149765, "deflection": 0.0025725409172244087, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002061)" }, "parent_node_id": "node_3430", "improvement_over_parent": null }, "node_3432": { "node_id": "node_3432", "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0019)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0013)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0018)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0021)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0016)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0019)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0030)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0020)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0023)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0021)]\n\nPerformance:\n Mass: 117.78 kg\n Factor of Safety: 0.97\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.77903804488716, "fos_buckling": 0.9723447142621288, "fos_yielding": 3.6784829285176817, "deflection": 0.002557236644924901, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.230)" }, "parent_node_id": "node_3431", "improvement_over_parent": null }, "node_3433": { "node_id": "node_3433", "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0023)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0016)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0022)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0025)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0019)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0022)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0035)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0024)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0028)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0025)]\n\nPerformance:\n Mass: 138.76 kg\n Factor of Safety: 1.12\n Max Deflection: 2.18e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 138.7572184097483, "fos_buckling": 1.1233678548781358, "fos_yielding": 4.324261168206402, "deflection": 0.002175879642745997, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.189)" }, "parent_node_id": "node_3432", "improvement_over_parent": null }, "node_3434": { "node_id": "node_3434", "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0046)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0036)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n\nPerformance:\n Mass: 178.62 kg\n Factor of Safety: 1.39\n Max Deflection: 1.70e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.62226710460413, "fos_buckling": 1.3922289850967933, "fos_yielding": 5.543740504660653, "deflection": 0.0016980329047184804, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.311)" }, "parent_node_id": "node_3433", "improvement_over_parent": null }, "node_3435": { "node_id": "node_3435", "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M13: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M14: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M15: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n\nPerformance:\n Mass: 204.47 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.46866227674496, "fos_buckling": 1.5539627252539494, "fos_yielding": 6.329043229169961, "deflection": 0.001487788157799514, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.159)" }, "parent_node_id": "node_3434", "improvement_over_parent": null }, "node_3436": { "node_id": "node_3436", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3435", "improvement_over_parent": null }, "node_3437": { "node_id": "node_3437", "content": "INITIAL DESIGN (Trace 495)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0025)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0024)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0027)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0020)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0024)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0038)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0026)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0030)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 145.05 kg\n Factor of Safety: 0.92\n Max Deflection: 2.07e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 145.05337736994397, "fos_buckling": 0.9151359949723098, "fos_yielding": 4.650674199157255, "deflection": 0.0020700624607338856, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3438": { "node_id": "node_3438", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0029)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0047)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0032)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0037)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0027)]\n\nPerformance:\n Mass: 175.49 kg\n Factor of Safety: 1.09\n Max Deflection: 1.72e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 175.49233827770308, "fos_buckling": 1.0851024641100202, "fos_yielding": 5.606654369847806, "deflection": 0.0017171993987908961, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.227)" }, "parent_node_id": "node_3437", "improvement_over_parent": null }, "node_3439": { "node_id": "node_3439", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 198.55 kg\n Factor of Safety: 1.21\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 198.5476685134579, "fos_buckling": 1.2088472651796027, "fos_yielding": 6.326143014199144, "deflection": 0.0015219403015956617, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.144)" }, "parent_node_id": "node_3438", "improvement_over_parent": null }, "node_3440": { "node_id": "node_3440", "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 199.60 kg\n Factor of Safety: 1.35\n Max Deflection: 1.51e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 199.5988864902677, "fos_buckling": 1.3537943381689297, "fos_yielding": 6.328239997078896, "deflection": 0.0015131314582796191, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(5, thickness, 1.372)" }, "parent_node_id": "node_3439", "improvement_over_parent": null }, "node_3441": { "node_id": "node_3441", "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.22 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.21862858029195, "fos_buckling": 1.5524140904746988, "fos_yielding": 6.3213180471675114, "deflection": 0.001489575228049156, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.323)" }, "parent_node_id": "node_3440", "improvement_over_parent": null }, "node_3442": { "node_id": "node_3442", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3441", "improvement_over_parent": null }, "node_3443": { "node_id": "node_3443", "content": "INITIAL DESIGN (Trace 496)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0022)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0015)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0024)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0018)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0021)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0024)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0023)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0026)]\n\nPerformance:\n Mass: 117.22 kg\n Factor of Safety: 0.64\n Max Deflection: 3.11e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 117.21897526935804, "fos_buckling": 0.6368434734761059, "fos_yielding": 3.1695499869260937, "deflection": 0.0031121567836044166, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3444": { "node_id": "node_3444", "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0027)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0022)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0026)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0029)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0028)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0033)]\n\nPerformance:\n Mass: 142.65 kg\n Factor of Safety: 0.76\n Max Deflection: 2.56e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 142.65061792298815, "fos_buckling": 0.7571066065773308, "fos_yielding": 3.8471355438699337, "deflection": 0.0025629840826240442, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.233)" }, "parent_node_id": "node_3443", "improvement_over_parent": null }, "node_3445": { "node_id": "node_3445", "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 178.64 kg\n Factor of Safety: 0.91\n Max Deflection: 2.05e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 178.64499750045786, "fos_buckling": 0.9132772906460286, "fos_yielding": 4.800120419034665, "deflection": 0.0020529769131537455, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.277)" }, "parent_node_id": "node_3444", "improvement_over_parent": null }, "node_3446": { "node_id": "node_3446", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n\nPerformance:\n Mass: 193.75 kg\n Factor of Safety: 0.91\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 193.74760639762448, "fos_buckling": 0.9087859891332937, "fos_yielding": 6.176153288028515, "deflection": 0.001749847789327445, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002939)" }, "parent_node_id": "node_3445", "improvement_over_parent": null }, "node_3447": { "node_id": "node_3447", "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 197.90 kg\n Factor of Safety: 1.30\n Max Deflection: 1.53e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.89898144454634, "fos_buckling": 1.2965764142591465, "fos_yielding": 6.289219243883228, "deflection": 0.0015277203293428136, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)" }, "parent_node_id": "node_3446", "improvement_over_parent": null }, "node_3448": { "node_id": "node_3448", "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0060)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0029)]\n M15: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n\nPerformance:\n Mass: 205.78 kg\n Factor of Safety: 1.32\n Max Deflection: 1.50e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 205.77915910693778, "fos_buckling": 1.3174528157696312, "fos_yielding": 6.281431685663697, "deflection": 0.0015015421259137927, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.447)" }, "parent_node_id": "node_3447", "improvement_over_parent": null }, "node_3449": { "node_id": "node_3449", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3448", "improvement_over_parent": null }, "node_3450": { "node_id": "node_3450", "content": "INITIAL DESIGN (Trace 497)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n\nPerformance:\n Mass: 129.04 kg\n Factor of Safety: 0.82\n Max Deflection: 1.42e+12 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 129.0390341218095, "fos_buckling": 0.8246737902616094, "fos_yielding": 4.139539823269226, "deflection": 1424415815419.6267, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3451": { "node_id": "node_3451", "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n\nPerformance:\n Mass: 140.70 kg\n Factor of Safety: 0.21\n Max Deflection: 2.99e+12 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 140.6996855172793, "fos_buckling": 0.20616844756540234, "fos_yielding": 1.5523274337259598, "deflection": 2991152264091.427, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003123)" }, "parent_node_id": "node_3450", "improvement_over_parent": null }, "node_3452": { "node_id": "node_3452", "content": "MODIFICATION: Add member connecting joints 2 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n\nPerformance:\n Mass: 158.57 kg\n Factor of Safety: 0.89\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 158.5692631362986, "fos_buckling": 0.8920788460435735, "fos_yielding": 4.4615672475860775, "deflection": 0.0019215779898031457, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003520)" }, "parent_node_id": "node_3451", "improvement_over_parent": null }, "node_3453": { "node_id": "node_3453", "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0028)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0034)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0031)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0035)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0030)]\n\nPerformance:\n Mass: 171.68 kg\n Factor of Safety: 1.35\n Max Deflection: 1.77e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 171.68137970312495, "fos_buckling": 1.3471043498585504, "fos_yielding": 5.332093470659187, "deflection": 0.0017652732126209154, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003015)" }, "parent_node_id": "node_3452", "improvement_over_parent": null }, "node_3454": { "node_id": "node_3454", "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M14: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M15: J1-J6 [A36_Steel, Pipe(r=0.0219, t=0.0036)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.19431976412938, "fos_buckling": 1.55228411368036, "fos_yielding": 6.320677266541461, "deflection": 0.0014897385111675477, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.208)" }, "parent_node_id": "node_3453", "improvement_over_parent": null }, "node_3455": { "node_id": "node_3455", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3454", "improvement_over_parent": null }, "node_3456": { "node_id": "node_3456", "content": "INITIAL DESIGN (Trace 498)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0024)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 115.50 kg\n Factor of Safety: 0.24\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 115.49697759486766, "fos_buckling": 0.2393579011002323, "fos_yielding": 1.9249530666750807, "deflection": 0.006041313113008536, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3457": { "node_id": "node_3457", "content": "MODIFICATION: Increase 11 thickness by 30%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0024)]\n\nPerformance:\n Mass: 119.03 kg\n Factor of Safety: 0.24\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 119.02900810871813, "fos_buckling": 0.23921677858925067, "fos_yielding": 1.9238181377295884, "deflection": 0.006001602826748195, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.300)" }, "parent_node_id": "node_3456", "improvement_over_parent": null }, "node_3458": { "node_id": "node_3458", "content": "MODIFICATION: Increase 13 thickness by 28%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n\nPerformance:\n Mass: 122.24 kg\n Factor of Safety: 0.24\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 122.24340598871292, "fos_buckling": 0.2391740009880592, "fos_yielding": 1.923474113679327, "deflection": 0.005994210263222465, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(13, thickness, 1.282)" }, "parent_node_id": "node_3457", "improvement_over_parent": null }, "node_3459": { "node_id": "node_3459", "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0026)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0018)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0025)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0028)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0025)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0028)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0027)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0032)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0031)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0021)]\n\nPerformance:\n Mass: 128.21 kg\n Factor of Safety: 0.24\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 128.21141698550338, "fos_buckling": 0.23901528873797104, "fos_yielding": 1.9221977253456988, "deflection": 0.005823935866198406, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002106)" }, "parent_node_id": "node_3458", "improvement_over_parent": null }, "node_3460": { "node_id": "node_3460", "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (15 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n\nPerformance:\n Mass: 144.70 kg\n Factor of Safety: 0.26\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 144.70478124301292, "fos_buckling": 0.26472763488731266, "fos_yielding": 2.165480546770125, "deflection": 0.005169461693178885, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.139)" }, "parent_node_id": "node_3459", "improvement_over_parent": null }, "node_3461": { "node_id": "node_3461", "content": "MODIFICATION: Add member connecting joints 0 and 5\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0030)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0020)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0032)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0029)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0031)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0031)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0036)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0035)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0024)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0045)]\n\nPerformance:\n Mass: 173.70 kg\n Factor of Safety: 1.36\n Max Deflection: 1.75e-03 m\n Status: INFEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 173.70439999703004, "fos_buckling": 1.3626731911656889, "fos_yielding": 5.429810050344099, "deflection": 0.001749027006953163, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004532)" }, "parent_node_id": "node_3460", "improvement_over_parent": null }, "node_3462": { "node_id": "node_3462", "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 202.97 kg\n Factor of Safety: 1.54\n Max Deflection: 1.50e-03 m\n Status: FEASIBLE", "depth": 6, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 202.9727704800468, "fos_buckling": 1.5404840717912989, "fos_yielding": 6.325065080786951, "deflection": 0.00150181713795676, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.185)" }, "parent_node_id": "node_3461", "improvement_over_parent": null }, "node_3463": { "node_id": "node_3463", "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M10: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n M14: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M15: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n\nPerformance:\n Mass: 204.25 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 7, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.25003162481818, "fos_buckling": 1.552898227033422, "fos_yielding": 6.3216830781170845, "deflection": 0.0014892663962329884, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(2, thickness, 1.399)" }, "parent_node_id": "node_3462", "improvement_over_parent": null }, "node_3464": { "node_id": "node_3464", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 8, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3463", "improvement_over_parent": null }, "node_3465": { "node_id": "node_3465", "content": "INITIAL DESIGN (Trace 499)\n\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0022)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 153.97 kg\n Factor of Safety: 0.92\n Max Deflection: 1.92e-03 m\n Status: INFEASIBLE", "depth": 0, "node_type": "state", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 153.97058074563066, "fos_buckling": 0.9158270465300185, "fos_yielding": 5.048098871062391, "deflection": 0.0019201965547530682, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": null, "parent_node_id": null, "improvement_over_parent": null }, "node_3466": { "node_id": "node_3466", "content": "MODIFICATION: Increase 11 thickness by 32%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0017)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 156.96 kg\n Factor of Safety: 0.91\n Max Deflection: 1.91e-03 m\n Status: INFEASIBLE", "depth": 1, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 156.95520007365374, "fos_buckling": 0.9137972802062834, "fos_yielding": 5.132395658388852, "deflection": 0.0019078420276075552, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(11, thickness, 1.316)" }, "parent_node_id": "node_3465", "improvement_over_parent": null }, "node_3467": { "node_id": "node_3467", "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0028)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0019)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0026)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0030)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0023)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0043)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0030)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0029)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0034)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0022)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 1.06\n Max Deflection: 1.88e-03 m\n Status: INFEASIBLE", "depth": 2, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 160.05695242216694, "fos_buckling": 1.0590578788258025, "fos_yielding": 5.137594775097196, "deflection": 0.0018767335168245667, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(9, thickness, 1.562)" }, "parent_node_id": "node_3466", "improvement_over_parent": null }, "node_3468": { "node_id": "node_3468", "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0028)]\n\nPerformance:\n Mass: 197.90 kg\n Factor of Safety: 1.27\n Max Deflection: 1.52e-03 m\n Status: INFEASIBLE", "depth": 3, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": false, "mass": 197.90430470621243, "fos_buckling": 1.2737261879536077, "fos_yielding": 6.324370794417045, "deflection": 0.001524690215585931, "is_feasible": false, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(all_members, thickness, 1.259)" }, "parent_node_id": "node_3467", "improvement_over_parent": null }, "node_3469": { "node_id": "node_3469", "content": "MODIFICATION: Increase 15 thickness by 47%\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0042)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.00 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 4, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.0029197892025, "fos_buckling": 1.551086776895656, "fos_yielding": 6.3146757171061605, "deflection": 0.0014911399454673646, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "SCALE_PARAM(15, thickness, 1.471)" }, "parent_node_id": "node_3468", "improvement_over_parent": null }, "node_3470": { "node_id": "node_3470", "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0035)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0024)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0200, t=0.0033)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0038)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0028)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0034)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0322, t=0.0054)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0223, t=0.0037)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0036)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0043)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0042)]\n\nPerformance:\n Mass: 204.17 kg\n Factor of Safety: 1.55\n Max Deflection: 1.49e-03 m\n Status: FEASIBLE", "depth": 5, "node_type": "modification_result", "metadata": null, "correctness_score": 1.0, "is_on_solution_path": true, "mass": 204.16914331316718, "fos_buckling": 1.5521429793743111, "fos_yielding": 6.319963969116309, "deflection": 0.0014899150964439284, "is_feasible": true, "joint_positions": null, "member_dimensions": null, "modification_action": { "raw": "OPTIMAL_STATE" }, "parent_node_id": "node_3469", "improvement_over_parent": null } }, "edges": [ { "from_node": "node_0", "to_node": "node_1", "edge_type": "modification", "reasoning": "Add member connecting joints 4 and 5", "metadata": null, "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001996)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_1", "to_node": "node_2", "edge_type": "modification", "reasoning": "Increase all_members thickness by 21%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)", "action_type": null, 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"grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_16", "to_node": "node_17", "edge_type": "modification", "reasoning": "Optimal solution", "metadata": null, "grammar_action": "OPTIMAL_STATE", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_18", "to_node": "node_19", "edge_type": "modification", "reasoning": "Increase all_members thickness by 16%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_19", "to_node": "node_20", "edge_type": "modification", "reasoning": "Increase 8 thickness by 19%", "metadata": null, "grammar_action": "SCALE_PARAM(8, thickness, 1.190)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_20", "to_node": "node_21", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_21", "to_node": "node_22", "edge_type": "modification", "reasoning": "Increase all_members thickness by 24%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_22", "to_node": "node_23", "edge_type": "modification", "reasoning": "Add member connecting joints 0 and 5", "metadata": null, 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null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_34", "to_node": "node_35", "edge_type": "modification", "reasoning": "Increase all_members thickness by 32%", "metadata": null, "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_35", "to_node": "node_36", "edge_type": "modification", "reasoning": "Increase 0 thickness by 53%", "metadata": null, "grammar_action": "SCALE_PARAM(0, thickness, 1.531)", "action_type": null, "target_member": null, "parameter_name": null, "old_value": null, "new_value": null, "scale_factor": null }, { "from_node": "node_36", "to_node": "node_37", "edge_type": "modification", "reasoning": "Add member connecting joints 1 and 4", 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