Research Article
Dec 1976
Minimum Reinforcement of Nonuniform Plates
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 6
Abstract
Considerable attention has been given to the plastic design of plates and grillages of uniform depth for minimum reinforcement material consumption, but very little has been given to nonuniform depth structures. This paper attempts to fill some of this gap. It will be shown that the optimality conditions for plates of nonuniform thickness can be derived quite simply from the Marcal-Prager-Shield associated structure optimization theory. These conditions are applied to an axisymmetric plate or grillage with predefined thickness variation, a square simply supported flat plate with differing reinforcement depths and to the more practical problem of an infinite flat plate with drop panels, supported on finite columns. Some remarks about the practical application of the results close the paper.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 6 • December 1976
Pages: 943 - 955
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Dec 1976
Published online: Feb 3, 2021
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Authors
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Robert E. Melchers
Lect., Dept. of Civ. Engrg., Monash Univ., Victoria, Australia
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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.