Semianalytical Solution of Rectangular Plates
Publication: Journal of Engineering Mechanics
Volume 123, Issue 7
Abstract
A general procedure is developed for the static analysis of a single transversely loaded rectangular plate. Boundary displacements are expressed as linear functions plus sine series, and boundary normal moments by sine series. Unknown coefficients are determined to make stationary a modified total potential energy principle, which is shown to be equivalent to a weighted integral method. The procedure enables any rectangular plate with uniform boundary conditions on each side, with or without corner displacements, to be analyzed. Equations obtained using the method are identical to those obtained for solving a number of well-known plate problems that have been treated in a range of ways, and in a sense the method unifies those procedures. The method also enables additional cases to be treated in a semianalytical manner. As an example, a cantilever plate is treated in some detail.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 7 • July 1997
Pages: 669 - 677
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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