On the Flexural-Torsional Behavior of a Straight Elastic Beam Subject to Terminal Moments

[+] Author and Article Information
Z. Tan, J. A. Witz

Department of Mechanical Engineering, University College London, London, WC1E 7JE, U.K.

J. Appl. Mech 60(2), 498-505 (Jun 01, 1993) (8 pages) doi:10.1115/1.2900821 History: Received August 26, 1991; Revised January 16, 1992; Online March 31, 2008


This paper discusses the large-displacement flexural-torsional behavior of a straight elastic beam with uniform circular cross-section subject to arbitrary terminal bending and twisting moments. The beam is assumed to be free from any kinematic constraints at both ends. The equilibrium equation is solved analytically with the full expression for curvature to obtain the deformed configuration in a three-dimensional Cartesian coordinate system. The results show the influence of the terminal moments on the beam’s deflected configuration.

Copyright © 1993 by The American Society of Mechanical Engineers
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