Bending of Plates on an Elastic Foundation

[+] Author and Article Information
K. S. Pister, R. A. Westmann

University of California, Berkeley, Calif.

J. Appl. Mech 29(2), 369-374 (Jun 01, 1962) (6 pages) doi:10.1115/1.3640556 History: Received April 06, 1961; Online September 16, 2011


This paper discusses a two-dimensional elastostatic plate theory in which effects of both transverse shearing strain and normal strain are retained. The governing system of equations is deduced as a limiting case of results obtained for thin shells by Naghdi. As an example of a class of problems for which such effects are significant, axisymmetric bending of an infinite plate resting on an elastic half space is discussed. Illustrative numerical results are included.

Copyright © 1962 by ASME
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