Research Article
Dec 1966
Structural Optimization by Nonlinear Programming
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 92, Issue 6
Abstract
Optimum structural design is formulated as a problem in nonlinear mathematical programming, i.e., a problem of selecting n design variables subject to m > n constraints such that an objective function is minimized. The design variables correspond to the geometrical or mechanical properties of the structural system, the constraints correspond to safety requirements such as limitations on stresses and deflections, and the objective function corresponds to weight or cost. The gradient projection method of nonlinear programming is described and an algorithm is presented for high-speed computation. Examples are presented in which the method is used to obtain least-weight designs of typical indeterminate rigid frames made of standard steel wide flange shapes. The examples illustrate that the programming approach affords a sound mathematical basis on which to develop rational methods of structural design.
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Published In
Journal of the Structural Division
Volume 92 • Issue 6 • December 1966
Pages: 319 - 340
Copyright
© 1966 American Society of Civil Engineers.
History
Published in print: Dec 1966
Published online: Feb 1, 2021
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Authors
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Daniel M. Brown, AM.ASCE
Asst. Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
Alfredo H.-S. Ang, AM.ASCE
Prof. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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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.