Postbuckling Analysis for the Bending of a Long Beam With a Thin, Open, Circular Cross Section

[+] Author and Article Information
R. C. Benson

Department of Mechanical Engineering, University of Rochester, Rochester, N.Y. 14627

J. Appl. Mech 52(1), 129-132 (Mar 01, 1985) (4 pages) doi:10.1115/1.3168981 History: Received November 01, 1983; Revised May 01, 1984; Online July 21, 2009


A longitudinal bending moment applied to a thin, open section beam induces limit point buckling, due to a second-order effect that flattens the leaves of the cross section. It is shown here, for the case of a circular cross section, that the leaves themselves may exhibit multiple equilibrium configurations. Thus, the postbuckling behavior of the beam is not uniquely defined, and perturbations may shift the system to an unexpected loading path. In this paper, the various equilibrium configurations are examined and judged for stability. A “perfect” bifurcating geometry is identified, and a form of imperfection sensitivity is observed.

Copyright © 1985 by ASME
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