Lateral-Torsional Buckling Analysis of Arches Having In-Plane Rotational End Restraints under Uniform Radial Loading
Publication: Journal of Engineering Mechanics
Volume 139, Issue 11
Abstract
In many cases, an arch may have in-plane elastic end restraints provided by the connected structures or elastic foundations, which may influence the elastic lateral-torsional buckling of the arch. However, little research of the lateral-torsional buckling of arches with elastic end restraints has been reported in the open literature. This paper analytically investigates the lateral-torsional buckling of pin-ended circular arches having in-plane elastic rotational end restraints under a uniform radial load. The analytical solutions for the prebuckling behavior of such an arch show that the uniform radial load produces combined axial compressive and bending actions in the arch and that the axial compressive force produced by the uniform radial load is approximately uniform along the arch axis. It is found that the stiffness of elastic rotational end restraints has significant effects on the magnitude and distribution of the axial compressive forces and bending moments. The axial compressive force decreases with an increase of the stiffness of rotational end restraints. The analytical solution for the lateral-torsional buckling load of the arch is derived, which accounts for the effects of rotational end restraints. It is found that the effects of the stiffness of rotational end restraints on the lateral-torsional buckling load are profound. The buckling load increases with an increase of the stiffness of the end restraints. It is demonstrated by comparisons with the finite-element results that the analytical solution provides good predictions for the lateral-torsional buckling load of both shallow and deep arches having in-plane rotational end restraints.
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Acknowledgments
This work has been supported by the Australian Research Council through Discovery Projects (Nos. DP1097096 and DP1096454) awarded to the authors and an Australian Laureate Fellowship (No. FL100100063) awarded to the second author.
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Published In
Journal of Engineering Mechanics
Volume 139 • Issue 11 • November 2013
Pages: 1602 - 1609
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Oct 11, 2012
Accepted: Jan 30, 2013
Published online: Feb 1, 2013
Published in print: Nov 1, 2013
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