Research Article
Jan 1974
Minimum Weight Design of Stress Limited Trusses
Publication: Journal of the Structural Division
Volume 100, Issue 1
Abstract
A procedure based on the force method of analysis and using linear programming is presented for a minimum weight optimum design of stress limited indeterminate trusses. The problem is initially cast as a linear optimization problem considering only equilibrium conditions and stress limits. Thereafter, additional approximate linear conditions are annexed to the initial formulation and the solution is repeated yielding a more nearly compatible design. The process is then repeated refining these additional conditions in each iteration until a compatible design is obtained. The simplex method is used to solve the linear programming problem in each iteration cycle. The relatively simple mathematical programming formulation is shown to be efficient as well as having the ability to modify the configuration of the structure by vanishing unnecessary members. A computer program based on this method and the results of some examples are presented.
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Published In
Journal of the Structural Division
Volume 100 • Issue 1 • January 1974
Pages: 97 - 107
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Jan 1974
Published online: Feb 1, 2021
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Authors
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Behrooz Farshi, AM.ASCE
Civ. Engr., Los Angeles, Calif.
Lucien A. Schmit Jr., F.ASCE
Prof. of Engrg., UCLA, Los Angeles, Calif.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.