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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.
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J. R. Hutchinson (Tue,) studied this question.
www.synapsesocial.com/papers/69dccb622e182f147e1332cb — DOI: https://doi.org/10.1115/1.1349417
J. R. Hutchinson
Journal of Applied Mechanics
University of California, Davis
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