The Effect of Lateral Hydrostatic Pressure on the Instability of Elastic Solids, Particularly Beams and Plates

[+] Author and Article Information
Arnold D. Kerr

Department of Aeronautics and Astronautics, New York University, New York, N. Y.

Sam Tang

Division of Interdisciplinary Studies and Research in Engineering, State University of New York, Buffalo, N. Y.

J. Appl. Mech 33(3), 617-622 (Sep 01, 1966) (6 pages) doi:10.1115/1.3625129 History: Received June 08, 1964; Revised July 26, 1965; Online September 15, 2011


The instability of a rectangular solid in plane strain subjected axially to a constant pressure p and laterally to a constant hydrostatic pressure q is investigated; a modification of the problem is treated in reference [1] in which the lateral load q was assumed to be constant directional. It was found that, unlike the constant directional q, the hydrostatic pressure q stabilizes the solid, but with increasing q/p, the destabilizing effect due to the caused deformations predominates. It is also shown that a number of investigators, who concluded that beams will not buckle when q = p, based their conclusions on formulations which are not valid in this range and that their conclusions are not correct.

Copyright © 1966 by ASME
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