Symplectic Analysis of the Shear Lag Phenomenon in a T-Beam
Publication: Journal of Engineering Mechanics
Volume 141, Issue 5
Abstract
The principal purpose of this paper is to develop a new analytical method for the shear lag problem of T-beams. The flange slab of a T-beam is simplified into a plane stress plate. A system of Hamilton dual equations of the flange slab using symplectic elasticity theory can be obtained. Analytical solutions of the flange slab under uniform or linear shear force applied on the entire slab length are obtained by solving the equation. Based on the solution, the cause of the positive shear lag and negative shear lag phenomenon are studied in this paper. Theoretical research indicates that the method is superior for analyzing the shear lag phenomenon. The analytical solution has been validated by comparison with the beam solution and FEM solution of a cantilever T-beam subjected to a uniform load.
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Acknowledgments
The authors are grateful for the funding of this research contributed by a Jilin University grant and Jilin Province Transportation Science and Technology Plan Projects in China.
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Published In
Journal of Engineering Mechanics
Volume 141 • Issue 5 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 7, 2014
Accepted: Sep 15, 2014
Published online: Oct 3, 2014
Published in print: May 1, 2015
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