Flexure of a Circular Plate With a Ring of Holes

[+] Author and Article Information
H. Kraus

Westinghouse Electric Corporation, Bettis Atomic Power Laboratory, Pittsburgh, Pa.

J. Appl. Mech 29(3), 489-496 (Sep 01, 1962) (8 pages) doi:10.1115/1.3640594 History: Received May 05, 1961; Online September 16, 2011


The problem of the moment distribution resulting from a uniform pressure load acting over the surface of a circular plate containing a ring of equally spaced circular holes with, and without, a central circular hole is solved within the framework of the Poisson-Kirchhoff theory of plates. A general boundary condition is applied at the outer rim of the plate to make the solution valid for a range of conditions from the simply supported case to the clamped case. The edges of the perforations are allowed to be either free or to have a net shear force acting. Numerical results in the form of curves are given for typical cases, and the results of a photoelastic test are also presented.

Copyright © 1962 by ASME
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