Lateral Buckling of Nonprismatic Cantilevers Using Weighted Residuals
Publication: Journal of Engineering Mechanics
Volume 119, Issue 10
Abstract
This paper presents a general weighted residual formulation (both collocation and Galerkin) for the problem of the lateral buckling of nonprismatic cantilevers. The approach is first validated against exact solutions to the linear elastic, prismatic case, and then against the available data for the elastic stability of beams with a linear taper. Complete results are given for both rectangular and inverted T sections with linear and parabolic web tapers subjected to either a distributed load or an end point load, for a number of span to depth ratios; the effect of applying the load through the top fiber, rather than the centroid, is also studied. For the limiting cases where results have been cited by others, the values obtained are shown to compare well. Finally, the technique is used to study buckling of inverted T sections when material nonlinearity is included. This is achieved by providing functional forms for the degradation of flexural and torsional stiffness with load, the aim being purely to assess the relevance of buckling as an ultimate limit state.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 10 • October 1993
Pages: 1899 - 1919
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Dec 31, 1991
Published online: Oct 1, 1993
Published in print: Oct 1993
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