{ "problem_id": "auto_problem_092", "description": "Truss optimization problem (ground structure variant 92)", "topology": { "joints": [ { "id": 0, "position": [ 0.0, 0.0, 0.0 ], "support": "pinned" }, { "id": 1, "position": [ 2.4255116151968124, 0.0, 0.0 ], "support": null }, { "id": 2, "position": [ 4.851023230393625, 0.0, 0.0 ], "support": null }, { "id": 3, "position": [ 7.276534845590437, 0.0, 0.0 ], "support": "roller_y" }, { "id": 4, "position": [ 0.0, 3.592234099139299, 0.0 ], "support": null }, { "id": 5, "position": [ 2.4255116151968124, 3.592234099139299, 0.0 ], "support": null }, { "id": 6, "position": [ 4.851023230393625, 3.592234099139299, 0.0 ], "support": null }, { "id": 7, "position": [ 7.276534845590437, 3.592234099139299, 0.0 ], "support": null } ], "members": [ { "joints": [ 0, 1 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.020879239660943894, "t": 0.0030726155346458496 } }, { "joints": [ 1, 2 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.02097612691712676, "t": 0.0030868735868206892 } }, { "joints": [ 2, 3 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.01618179011699016, "t": 0.002381332869359618 } }, { "joints": [ 4, 5 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.0144772538686604, "t": 0.002130491141354461 } }, { "joints": [ 6, 7 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.015069577420492995, "t": 0.0022176582305996617 } }, { "joints": [ 0, 4 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.019530559219594092, "t": 0.0019217834048374754 } }, { "joints": [ 1, 5 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.022635407208752314, "t": 0.003331055390524833 } }, { "joints": [ 2, 6 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.01704722106229774, "t": 0.0025086907909073765 } }, { "joints": [ 3, 7 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.020314149075330586, "t": 0.002989456083438177 } }, { "joints": [ 1, 6 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.021849997228880712, "t": 0.0032154734562969516 } }, { "joints": [ 2, 5 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.025506185864763657, "t": 0.003753522838488951 } }, { "joints": [ 2, 7 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.023217962810541476, "t": 0.0034167850157851144 } }, { "joints": [ 3, 6 ], "material": "A36_Steel", "shape": { "type": "Pipe", "r": 0.02493699518517472, "t": 0.0036697600122232023 } } ] }, "loading": [ { "joint": 5, "force": [ 0.0, -43485.87160225974, 0.0 ] } ], "goals": { "minimum_fos_buckling": 1.5, "minimum_fos_yielding": 1.5, "maximum_mass": 224.58605764448393 }, "optimization": { "shape": "Pipe", "shape_params": { "r": { "min": 0.005, "max": 0.15, "initial": 0.03 }, "t": { "min": 0.001, "max": 0.02, "initial": 0.005 } } }, "_metadata": { "optimal_mass": 204.16914331316718, "generation_method": "ground_structure_lp", "degradation_steps": 5 } }