Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory
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VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 133, Issue 8
Abstract
A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young’s modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the opposite trends for agreement between Timoshenko and Euler–Bernoulli theories.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 8 • August 2007
Pages: 957 - 961
Copyright
© 2007 ASCE.
History
Received: Mar 7, 2006
Accepted: Dec 5, 2006
Published online: Aug 1, 2007
Published in print: Aug 2007
Notes
Note. Associate Editor: Bojan B. Guzina
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