Research Article
Jun 1971
Volume Minimization of Thin Plates Subject to Constraints
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 97, Issue 3
Abstract
A thin plate of exponentially varying thickness is loaded axisymmetrically and is minimized for volume satisfying two constraints. In addition, the material is homogeneous and isotropic. Thus, minimum volume yields minimum weight. Only uniform load is considered. Such a combination of constraints may be required for pressure-sensitive devices and where clearances are tight. The state of stress in the plate remains everywehre elastic. A major contention of this paper is that volume minimization of thin plates should be considered in terms of certain classes of diametral shapes. Starting with the differential equation of equilibrium and von Mises' yield equation, the necessary mathematics is developed to effect the minimization process, and the resulting equations, containing infinite power series, are solved on the digital computer. A few representative design curves are plotted for wide ranges of values of the variables for the plate simply supported at the boundary. Sample calculations are given.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 3 • June 1971
Pages: 741 - 754
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Jun 1971
Published online: Feb 3, 2021
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Zachary Sherman, F.ASCE
Assoc. Prof., Dept. of Aerospace Engrg., The Pennsylvania State Univ., University Park, Pa.
Ping-Chun Wang, F.ASCE
Prof., Dept. of Civ. Engrg., Polytechnic Institute of Brooklyn, Brooklyn, N.Y.
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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.