Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/25756
Title: A new method to determine the shear coefficient of Timoshenko beam theory
Authors: Chan, KT
Lai, KF
Stephen, NG
Young, K
Issue Date: 2011
Publisher: Academic Press
Source: Journal of sound and vibration, 2011, v. 330, no. 14, p. 3488-3497 How to cite?
Journal: Journal of sound and vibration 
Abstract: The frequencies ω of flexural vibrations in a uniform beam of arbitrary cross-section and length L are analysed by expanding the exact elastodynamics equations in powers of the wavenumber q=mπ/L, where m is the mode number: ω2=A4q4A6 q6⋯. The coefficients A4 and A6 are obtained without further assumptions; the former captures EulerBernoulli theory while the latter, when compared with Timoshenko beam theory rendered into the same form, unambiguously yields the shear coefficient κ for any cross-section. The result agrees with the consensus best values in the literature, and provides a derivation of κ that does not rely on physical assumptions.
URI: http://hdl.handle.net/10397/25756
ISSN: 0022-460X
EISSN: 1095-8568
DOI: 10.1016/j.jsv.2011.02.012
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