The Strongest Circular Arch—A Perturbation Solution

[+] Author and Article Information
C.-H. Wu

Department of Materials Engineering, University of Illinois at Chicago Circle, Chicago, Ill.

J. Appl. Mech 35(3), 476-480 (Sep 01, 1968) (5 pages) doi:10.1115/1.3601238 History: Received December 21, 1967; Revised May 07, 1968; Online September 14, 2011


We consider the problem of determining that shape of circular arch which has the largest critical buckling pressure of all circular arches of given radius, central angle, and volume. The problem is formulated exactly and solved approximately by a perturbation procedure with the corresponding column problem as the fundamental solution. This latter problem was solved exactly by Keller and Tadjbakhsh and Keller. For hinged-hinged circular arches having rectangular cross sections of constant width, the best shaping is found to increase the buckling pressure by approximately 40 percent over that of a uniform arch.

Copyright © 1968 by ASME
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