Stress Concentration in a Stretched Cylindrical Shell With Two Equal Circular Holes

[+] Author and Article Information
P. Seide

Department of Civil Engineering, University of Southern California, Los Angeles, Calif.

A. S. Hafiz

Bechtel Power Corporation, Norwalk, Calif.

J. Appl. Mech 42(1), 105-109 (Mar 01, 1975) (5 pages) doi:10.1115/1.3423498 History: Received August 01, 1974; Online July 12, 2010


In this investigation, the stress distribution due to uniaxial tension of an infinitely long, thin, circular cylindrical shell with two equal small circular holes located along a generator is obtained. The problem is solved by the superposition of solutions previously obtained for a cylinder with a single circular hole. The satisfaction of boundary conditions on the free surfaces of the holes, together with uniqueness and overall equilibrium conditions, yields an infinite set of linear algebraic equations involving Hankel and Bessel functions of complex argument. The stress distribution along the boundaries of the holes and the interior of the shell is investigated. In particular, the value of the maximum stress is calculated for a wide range of parameters, including the limiting case in which the holes almost touch and the limiting case in which the radius of the cylinder becomes very large. As is the case for a flat plate, the stress-concentration factor is reduced by the presence of another hole.

Copyright © 1975 by ASME
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