In-Plane Nonlinear Buckling Analysis of Deep Circular Arches Incorporating Transverse Stresses
Publication: Journal of Engineering Mechanics
Volume 134, Issue 5
Abstract
Large discrepancies exist among current classical theories for the in-plane buckling of arches that are subjected to a constant-directed radial load uniformly distributed around the arch axis. Discrepancies also exist between the classical solutions and nonlinear finite-element results. A new theory is developed in this paper for the nonlinear analysis of circular arches in which the nonlinear strain-displacement relationship is based on finite displacement theory. In the resulting variational equilibrium equation, the energy terms due to both nonlinear shear and transverse stresses are included. This paper also derives a set of linearized equations for the elastic in-plane buckling of arches, and presents a detailed analysis of the buckling of deep circular arches under constant-directed uniform radial loading including the effects of shear and transverse stresses, and of the prebuckling deformations. The solutions of the new theory agree very well with nonlinear finite-element results. Various assumptions often used by other researchers, in particular the assumption of inextensibility of the arch axis, are examined. The discrepancies among the current theories are clarified in the paper.
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Acknowledgments
The work in this paper has been supported by the Australian Research Council through Discovery Projects awarded to the second, third, and fourth writers, and partly through a Federation Fellowship awarded to the third writer.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 134 • Issue 5 • May 2008
Pages: 362 - 373
Copyright
© 2008 ASCE.
History
Received: Dec 19, 2005
Accepted: Jun 26, 2007
Published online: May 1, 2008
Published in print: May 2008
Notes
Note. Associate Editor: Khaled W. Shahwan
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