Spatial Stability of Shear Deformable Nonsymmetric Thin-Walled Curved Beams: A Centroid-Shear Center Formulation
Publication: Journal of Engineering Mechanics
Volume 132, Issue 12
Abstract
An improved shear deformable curved beam theory to overcome the drawback of currently available beam theories is newly proposed for the spatially coupled stability analysis of thin-walled curved beams with nonsymmetric cross sections. For this, the displacement field is introduced considering the second order terms of semitangential rotations. Next the elastic strain energy is newly derived by using transformation equations of displacement parameters and stress resultants and considering shear deformation effects due to shear forces and restrained warping torsion. Then the potential energy due to initial stress resultants is consistently derived with accurate calculation of the Wagner effect. Finally, equilibrium equations and force–deformation relations are obtained using a stationary condition of total potential energy. The closed-form solutions for in-plane and out-of-plane buckling of curved beams subjected to uniform compression and pure bending are newly derived. Additionally, finite-element procedures are developed by using curved beam elements with arbitrary thin-walled sections. In order to illustrate the accuracy and the practical usefulness of this study, closed-form and numerical solutions for spatial buckling are compared with results by available references and ABAQUS’ shell elements.
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Acknowledgments
This work is a part of a research project supported by Korea Ministry of Construction and Transportation through Korea Bridge Design and Engineering Research Center at Seoul National University. The writers wish to express their gratitude for the financial support.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 12 • December 2006
Pages: 1313 - 1325
Copyright
© 2006 ASCE.
History
Received: Dec 18, 2002
Accepted: Jun 7, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006
Notes
Note. Associate Editor: Hayder A. Rasheed
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