Nonlinear Bending and Collapse of Long, Thin, Open Section Beams and Corrugated Panels

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

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

J. Appl. Mech 51(1), 141-145 (Mar 01, 1984) (5 pages) doi:10.1115/1.3167558 History: Received January 01, 1983; Revised June 01, 1983; Online July 21, 2009


Long, thin, open section beams and corrugated panels undergo a cross section flattening when bent longitudinally. This leads to a “soft” nonlinear moment-curvature response and geometrical instability. The problem is analyzed by means of a closed, convergent sequence of algebraic and integral equations which are tractable on modern microcomputers. The shape of the cross section is unrestricted, save that it be thin, symmetrical, and not self-penetrating. Results for circular section and angle section beams are obtained and compared with the existing literature. Example results for a wide, corrugated panel are also obtained. Bifurcations in the deformed cross section are found to occur.

Copyright © 1984 by ASME
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