Buckling of Shallow Arches with Supports that Stiffen when Compressed
Publication: Journal of Engineering Mechanics
Volume 116, Issue 4
Abstract
The snap-through instability of a uniform, shallow, elastic arch is considered. The arch has a sinusoidal shape and is subjected to a uniformly distributed load. As the load is increased, the flexural resistance of the supports is assumed to increase. In order to model this behavior, rotational springs act at the immovable arch ends, and their stiffnesses are assumed to be linear functions of the compressive thrust induced by the load. The effect of this support stiffening on the critical load is investigated. Both symmetric and asymmetric supports are treated. The critical load may be increased significantly due to support stiffening, especially if the initial flexural resistance is low.
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References
1.
Fung, Y. C., and Kaplan, A. (1952). “Buckling of low arches or curved beams of small curvature.” Technical Note 2840, Nat. Advisory Council for Aeronautics, Washington, D.C.
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Plaut, R. H. (1989). “Column buckling when support stiffens under compression.” J. Appl. Mech. Trans. ASME, 56(2), 484.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 4 • April 1990
Pages: 973 - 976
Copyright
Copyright © 1990 ASCE.
History
Published online: Apr 1, 1990
Published in print: Apr 1990
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