Large Deflections of a Simply Supported Beam Subjected to Moment at One End

[+] Author and Article Information
P. Seide

Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90007

J. Appl. Mech 51(3), 519-525 (Sep 01, 1984) (7 pages) doi:10.1115/1.3167667 History: Received February 01, 1983; Revised September 01, 1983; Online July 21, 2009


The large deflections of a simply supported beam, one end of which is free to move horizontally while the other is subjected to a moment, are investigated by means of inextensional elastica theory. The linear theory is found to be valid for relatively large angles of rotation of the loaded end. The beam becomes transitionally unstable, however, at a critical value of the bending moment parameter MI L/EI equal to 5.284. If the angle of rotation is controlled, the beam is found to become unstable when the rotation is 222.65 deg.

Copyright © 1984 by ASME
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