A Linear Theory for Pretwisted Elastic Beams

[+] Author and Article Information
S. Krenk

Riso̸ National Laboratory, Roskilde, Denmark

J. Appl. Mech 50(1), 137-142 (Mar 01, 1983) (6 pages) doi:10.1115/1.3166980 History: Received January 01, 1982; Revised June 01, 1982; Online July 21, 2009


A linear theory for pretwisted elastic beams subjected to general loads is developed from the potential energy functional. The longitudinal strain distribution is that of a similar beam without pretwist supplemented by terms from the warping function and its longitudinal derivative. The paper contains a general system of differential equations and gives explicit solutions for homogenous extension, torsion, and bending. The theory accounts explicitly for the shear center, the elastic center, and the axis of pretwist. The resulting torsion-extension coupling is in agreement with a recent asymptotic result from three-dimensional elasticity apart from the limitation imposed by neglecting deformations of the cross sections in their own plane.

Copyright © 1983 by ASME
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