The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations

[+] Author and Article Information
A. Rosen, P. Friedmann

Mechanics and Structures Department, School of Engineering and Applied Science, University of California, Los Angeles, Calif. 90024

J. Appl. Mech 46(1), 161-168 (Mar 01, 1979) (8 pages) doi:10.1115/1.3424490 History: Received September 01, 1978; Revised October 01, 1978; Online July 12, 2010


The nonlinear behavior of slender and initially straight beams is investigated. A set of equilibrium equations for a beam undergoing moderate rotations and small strains is derived. The derivation includes several assumptions which are clearly stated and explained. These equations are used to investigate the deformations of a cantilevered beam which is loaded by a concentrated transverse load at the free end. The numerical results are in very good agreement with the experimental results.

Copyright © 1979 by ASME
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