Prebuckling Deflections and Lateral Buckling. I: Theory
Publication: Journal of Structural Engineering
Volume 118, Issue 11
Abstract
When the ratio of the minor axis flexural stiffness to the major axis flexural stiffness is large, classic analysis may lead to inaccurate predictions of the lateral buckling loads of beams and beam‐columns because the effects of prebuckling deformations are not considered. The energy equation for the elastic lateral buckling of monosymmetric beam‐columns that includes the effects of prebuckling deformations is derived, and the buckling differential equilibrium equations are obtained. A finite element algorithm for the prediction of the lateral buckling loads of monosymmetric beam‐columns that includes the effects of prebuckling deformations is developed from the energy equation. This includes the effects of second‐order moments due to the prebuckling displacements and the axial loads. An iterative procedure for determining the lateral buckling loads is recommended. The finite element results, given in a companion paper, show that the classic predictions of the lateral buckling loads of beams and beam‐columns are generally conservative, but that the predictions by a linearized procedure are overestimated. The predictions by the recommended nonlinear iteration procedure agree well with the experimental results.
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Published In
Journal of Structural Engineering
Volume 118 • Issue 11 • November 1992
Pages: 2949 - 2966
Copyright
Copyright © 1992 ASCE.
History
Published online: Nov 1, 1992
Published in print: Nov 1992
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