Nonlinear Elastic Nonuniform Torsion
Publication: Journal of Structural Engineering
Volume 131, Issue 7
Abstract
This paper is concerned with large twist rotations of elastic thin-walled open section beams that induce additional longitudinal stresses, which exert nonlinear “Wagner” stiffening torques. The nonlinear behavior of a narrow rectangular beam is first analyzed and then extended to elastic beams of general cross section. Expressions are derived for the nonlinear Wagner section constants for narrow rectangular sections, doubly symmetric I sections, and monosymmetric equal angle sections. A general finite element method of analyzing nonlinear torsion is described, and used to develop a computer program FENLT. This program can analyze a beam of general cross section under any combination of concentrated and distributed torques and concentrated bimoments, and which may be prevented from twisting or warping at points along its length. The program is validated by comparison with closed form or numerical solutions for a number of simple examples.
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© 2005 ASCE.
History
Received: May 28, 2003
Accepted: Jan 31, 2005
Published online: Jul 1, 2005
Published in print: Jul 2005
Notes
Note. Associate Editor: Jin-Guang Teng
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