Postbuckling Analysis of Continuous, Elastic Systems Under Multiple Loads—Part 2: Applications

[+] Author and Article Information
R. H. Plaut

Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va. 24061

J. Appl. Mech 46(2), 398-403 (Jun 01, 1979) (6 pages) doi:10.1115/1.3424562 History: Received April 01, 1978; Revised October 01, 1978; Online July 12, 2010


In Part 1, a theoretical stability analysis of continuous, elastic systems subjected to multiple independent loads was developed. Postbuckling behavior and imperfection-sensitivity were investigated. Three examples are presented here to illustrate the procedures and results of that study. The first example consists of a cantilever subjected to a pair of concentrated axial loads, one applied at the tip and the other at midspan. In the second example, involving nonconservative loading, an axial load and a follower load are applied at the tip of a cantilever. Finally, a shallow arch under three concentrated vertical loads is considered, in order to demonstrate a case with prebuckling deformations.

Copyright © 1979 by ASME
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