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RESEARCH PAPERS

Stresses and Deflections in an Elastically Restrained Circular Plate Under Hydrostatic Normal Pressure Over a Segment

[+] Author and Article Information
W. A. Bassali

University of Alexandria, Alexandria, Egypt

N. O. M. Hanna

Ein Shams University, Cairo, Egypt

J. Appl. Mech 28(1), 91-102 (Mar 01, 1961) (12 pages) doi:10.1115/1.3640473 History: Received October 20, 1959; Online September 16, 2011

Abstract

This paper is concerned with the application of complex variable analysis to establish exact expressions for the small deflections occurring in a thin isotropic circular plate subject to hydrostatic transverse pressure distributed over a segment of the plate. The general boundary conditions taken at the edge of the plate include those for the simply supported and rigidly clamped boundaries as particular cases. In the latter case the solution is obtained in a closed form. Explicit formulas are given for the boundary values of the bending and twisting moments and shearing forces. Expressions are also developed for the corresponding values on the axis of symmetry. When the hydrostatic pressure extends over a half of the plate or over the entire plate, the problem is investigated in detail and numerical results are presented in the form of tables and graphs. The results obtained are of practical significance in connection with the design of cylindrical tanks and boilers.

Copyright © 1961 by ASME
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