Shear-Flexural Buckling of Cantilever Columns under Uniformly Distributed Load
Publication: Journal of Engineering Mechanics
Volume 132, Issue 11
Abstract
Approximate buckling formulas for shear–flexural buckling of cantilever columns subjected to a uniformly distributed load are derived, based on Timoshenko’s energy method. In this method the deflection curve at buckling is approximated by a trial function. Instead of trying to describe all possible buckling modes with one trial function, two trial functions are used: one to describe shear dominated localized buckling, another to describe bending dominated global buckling. It is investigated whether the bending dominated global buckling modes can best be described using polynomial functions, trigonometric functions, or a function defined by the lateral (flexural and shear) deflection of the cantilever column under uniformly distributed lateral load. The results of the derived formulas are compared to the exact solution and other approximate buckling formulas found in the literature. Attention is drawn to the fact that the shear–flexural buckling load cannot exceed the shear buckling load.
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Acknowledgments
The writer gratefully acknowledges the work of G. J. T. Brouwers, R. Graat, J. E. Klein Gebbink, B. A. Koggel, H. J. van Lint, K. de Louw, M. Roos, H. Veugen, and C. W. Witteman, who contributed to this paper with the research carried out in their master research projects.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 11 • November 2006
Pages: 1160 - 1167
Copyright
© 2006 ASCE.
History
Received: Apr 29, 2005
Accepted: Sep 16, 2005
Published online: Nov 1, 2006
Published in print: Nov 2006
Notes
Note. Associate Editor: Hayder A. Rasheed
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