Bending of Circular Plates Under a Variable Symmetrical Load—Part I

[+] Author and Article Information
J. C. Heap

Particle Acceleration Division, Argonne National Laboratory, Argonne, Ill.

J. Eng. Ind 90(2), 268-278 (May 01, 1968) (11 pages) doi:10.1115/1.3604627 History: Received February 24, 1967; Online August 25, 2011


The basic equations of deflection, slope, and moment for a thin, flat, circular plate, under a symmetrical variable load, for a constant force divided by the square of the radial distance, have been developed. Six cases have been derived. The first four cases cover the variable load acting over the entire plate, viz., (a) fixed, supported, outer edge and fixed, inner edge, (b) simply supported, outer edge and free, inner edge, (c) simply supported, outer edge and fixed, inner edge, (d) fixed, supported, outer edge and free, inner edge; and the final two cases are for a solid plate having the acting variable load bounded by circles of an inner radius and the outer support-load-radius; i.e., (e) fixed, supported, outer edge and (f) simply supported, outer edge.

Copyright © 1968 by ASME
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