On the Behavior of Pretwisted Beams With Irregular Cross-Sections

[+] Author and Article Information
J. B. Kosmatka

Department of Applied Mechanics and Engineering Science, University of California, San Diego, La Jolla, CA 92093

J. Appl. Mech 59(1), 146-152 (Mar 01, 1992) (7 pages) doi:10.1115/1.2899420 History: Received September 15, 1989; Revised April 30, 1990; Online March 31, 2008


An analytical model is developed to study the extension-bending-torsion coupling behavior of an initially twisted elastic beam with an irregular cross-section. The determination of the complete displacement field requires solving a coupled two dimensional boundary value problem in a curvilinear coordinate system for the local deformations in the section plane and warping out of the section plane. The principle of minimum potential energy is applied to a discretized representation of the cross-section (Ritz method) to calculate solutions to this problem. Numerical results illustrate the pronounced effects pretwist, initial twist axis location, and in-plane deformation have on the behavior of solid and single and multi-celled sections, including airfoil sections.

Copyright © 1992 by The American Society of Mechanical Engineers
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