Brief Report
Dec 1977
Optimal Plastic Design: Allowance for Self-Weight
Publication: Journal of the Engineering Mechanics Division
Volume 103, Issue 6
Abstract
One of the most useful tools in structural optimization is the Prager-Shield condition which requires the strain rates to be everywhere equal to the gradient of the specific cost function. With a view to optimizing structures for a combination of applied loads and self-weight (body-forces), a simple modification of the aforementioned criterion is introduced. A generalization of Heyman.s theorem is then obtained by applying the proposed extended theory to beams and beam layouts. The importance of the method presented is obvious because the neglect of structural weight renders most optimal solutions somewhat unpractical. It is found that certain properties of these modified optimal solutions are independent of the type of applied loads, provided that the latter are non-negative. Allowance for self-weight has been considered by Maier, Srinivasan, and Save and Barnett and Chern.
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Published In
Journal of the Engineering Mechanics Division
Volume 103 • Issue 6 • December 1977
Pages: 1165 - 1170
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Dec 1977
Published online: Feb 3, 2021
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Authors
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George I.N. Rozvany, F.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.