Lateral–Torsional Buckling of Singly Symmetric Tapered Beams: Theory and Applications
Publication: Journal of Engineering Mechanics
Volume 131, Issue 6
Abstract
A general variational formulation to analyze the elastic lateral–torsional buckling (LTB) behavior of singly symmetric thin-walled tapered beams is presented, numerically implemented, validated and illustrated. It (1) begins with a precise geometrical definition of a tapered beam; (2) extends the kinematical assumptions traditionally adopted to study the LTB of prismatic beams; (3) includes a careful derivation of the beam total potential energy; and (4) employs Trefftz’s criterion to ensure the beam adjacent equilibrium. In order to validate and illustrate the application and capabilities of the proposed formulation, several numerical results are presented, discussed and, when possible, also compared with values reported by other authors. These results (1) are obtained by means of the Rayleigh–Ritz method, using trigonometric functions to approximate the beam critical buckling mode, and (2) concern the critical moments of doubly and singly symmetric web-tapered I-section simply supported beams and cantilevers acted by point loads. In particular, one shows that modeling a tapered beam as an assembly of prismatic beam segments is conceptually inconsistent and may lead to rather inaccurate (safe or unsafe) results. Finally, it is worth mentioning that the paper includes a state-of-the-art review concerning one-dimensional analytical formulations for the LTB behavior of tapered beams.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 6 • June 2005
Pages: 586 - 597
Copyright
© 2005 ASCE.
History
Received: May 25, 2003
Accepted: Mar 26, 2004
Published online: Jun 1, 2005
Published in print: Jun 2005
Notes
Note. Associate Editor: Hayder A. Rasheed
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