Brief Report
Oct 1973
Optimal Plastic Design for Bending and Shear
Publication: Journal of the Engineering Mechanics Division
Volume 99, Issue 5
Abstract
In optimizing flexural systems (such as beams, frames, and grillages) of continuously varying cross section, most authors assume that the specific cost of the member is a function of the bending moment only. However, the Prager-Shield theory of plastic optimal design and its extensions to multiload and multicomponent systems, partially preassigned geometry, and nonconvex cost functions can be applied readily to problems in which the specific cost depends on both bending and shear. In this note, a generalization of Heyman's method is considered but the same technique can be used for an improved optimization of grillages for which only flexure was taken into consideration in previous studies.
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Published In
Journal of the Engineering Mechanics Division
Volume 99 • Issue 5 • October 1973
Pages: 1107 - 1109
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© 1973 American Society of Civil Engineers.
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Published in print: Oct 1973
Published online: Feb 3, 2021
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Authors
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George I.N. Rozvany, M.ASCE
Reader in Engrg., Monash Univ., Clayton, Victoria, Australia
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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.