Research Article
Feb 1963
Stability of Equilateral Triangular Plates
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 89, Issue 1
Abstract
Critical values of the middle plane forces for equilateral triangular plates that are determined for the clamped and simply supported edge conditions and for the cases of force parallel or perpendicular to a base show that accurate values for the lower modes of buckling may be obtained with relatively coarse grids and extrapolations. In certain cases, the pattern of convergence of the extrapolated values indicates the possibility of establishing bounds on the critical load values. In computing these, values, finite difference approximations to the governing differential equations are used. Four different approximations to the biharmonic operator are used, and solutions for the critical loads and corresponding mode shapes using several different grid spacings are obtained. The extrapolated values of the buckling loads may also be found. The use of successively finer grids results in convergence for the values of lowest critical load.
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Published In
Journal of the Engineering Mechanics Division
Volume 89 • Issue 1 • February 1963
Pages: 37 - 56
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Feb 1963
Published online: Feb 3, 2021
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Authors
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William A. Bradley, M.ASCE
Prof., Dept. of Metallurgy, Mechanics and Materials Science, Michigan State Univ. East Lansing, Mich.
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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.
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.