First-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns
Publication: Journal of Engineering Mechanics
Volume 136, Issue 5
Abstract
In this work, closed-form expressions for the buckling loads of a weakened column with different boundary conditions are presented. The cracked-column model is based on the well-known method consisting of dividing the column into two segments connected by a rotational linear spring whose flexibility is related to the crack size and the geometry of the cross section. For the formulation of closed-form expressions, the perturbation method is used and the results are compared with those found by directly solving the eigenvalue problem.
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© 2010 ASCE.
History
Received: Nov 20, 2008
Accepted: Oct 6, 2009
Published online: Oct 8, 2009
Published in print: May 2010
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