Rectangular Plates on Unilateral Edge Supports: Part 1—Theory and Numerical Analysis

[+] Author and Article Information
J. P. Dempsey, Hui Li

Department of Civil and Environmental Engineering, Clarkson University, Potsdam, N.Y. 13676

J. Appl. Mech 53(1), 146-150 (Mar 01, 1986) (5 pages) doi:10.1115/1.3171702 History: Received March 01, 1985; Revised June 01, 1985; Online July 21, 2009


The corners of a simply supported, laterally loaded rectangular plate must be anchored to prevent them from lifting off the supports. If no such anchors are provided, and the supports are unilateral or capable of exerting forces in one direction only, parts of the plate will bend away from the supports upon loading. The loss of contact when uplift of laterally loaded rectangular plates is not prevented is examined in this paper. Arbitrary centrally symmetric loading is considered. Finite integral transforms convert the coupled dual-series equations that result from the Levy-Nadai approach to two coupled singular integral equations. Different solution methods are applicable for sagged and unsagged supports; these two numerical approaches are discussed in detail.

Copyright © 1986 by ASME
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