Shear Coefficients for Timoshenko Beam Theory-Reference-Cited by-同舟云学术

Shear Coefficients for Timoshenko Beam Theory

Published:2000-08-15 Issue:1 Volume:68 Page:87-92
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Hutchinson J. R.¹

Affiliation:

1. Department of Civil and Environmental Engineering, University of California, Davis, CA 95616

Abstract

The Timoshenko beam theory includes the effects of shear deformation and rotary inertia on the vibrations of slender beams. The theory contains a shear coefficient which has been the subject of much previous research. In this paper a new formula for the shear coefficient is derived. For a circular cross section, the resulting shear coefficient that is derived is in full agreement with the value most authors have considered “best.” Shear coefficients for a number of different cross sections are found.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/68/1/87/5467028/87_1.pdf

Reference16 articles.

1. Timoshenko, S. P. , 1921, “On the Correction for Shear of the Differential Equation for Transverse Vibrations of Bars of Prismatic Bars,” Philos. Mag., 41, pp. 744–746.

2. Kaneko, T. , 1975, “On Timoshenko’s Correction for Shear in Vibrating Beams,” J. Phys. D 8, pp. 1927–1936.

3. Timoshenko, S. P. , 1922, “On the Transverse Vibrations of Bars of Uniform Cross Section,” Philos. Mag., 43, pp. 125–131.

4. Cowper, G. R. , 1966, “The Shear Coefficient in Timoshenko’s Beam Theory,” ASME J. Appl. Mech., 33, pp. 335–340.

5. Hutchinson, J. R. , 1981, “Transverse Vibrations of Beams, Exact Versus Approximate Solutions,” ASME J. Appl. Mech., 48, pp. 923–928.

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