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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
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Paper 25

In-Plane Buckling of Shear-Deformable Columns with Variable Cross-Sections

L.J. Su and M.M. Attard

School of Civil and Environmental Engineering, The University of New South Wales, Sydney, Australia

Full Bibliographic Reference for this paper
L.J. Su, M.M. Attard, "In-Plane Buckling of Shear-Deformable Columns with Variable Cross-Sections", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 25, 2014. doi:10.4203/ccp.106.25
Keywords: buckling, variable cross-sections, shear effects, hyperelastic modeling, tensor notation, finite strain..

In this paper, a finite strain elastic in-plane buckling analysis is presented for variable cross-sectional columns taking account of the effects of shear deformations which are incorporated based on the Timoshenko beam hypothesis. The constitutive relationship for stresses and finite strains is defined from a consistent finite strain hyperelastic neo-Hookean formulation. The non-Cartesian tensor notation is introduced to establish the physical relationships with simplicity. The generalized equilibrium equations for variable cross-sectional columns are developed from the virtual work equation by applying Ritz variational technique. The buckling equations are derived for tapered cantilever columns. The critical load solutions obtained from the numerical approach using the derived buckling equations are in excellent agreement with the results of ANSYS analysis. The behavior of normalized buckling loads agree well with the research results in the classical literature. The shear deformation effects are shown to have a very significant effect on the buckling capacity of columns with lower slenderness as well as those with weak shear rigidity.

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