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The Convolution Integral of Beam Theory

Published online by Cambridge University Press:  03 November 2016

H. H. Spencer*
Affiliation:
University of Southern California, School of Engineering, University Park, Los Angeles, California 90007, U.S.A.

Extract

It appears to have been customary, from the most ancient boo] on the subject to the most modern, to analyse the relationsh between distributed load function q, shearing force V, and bendii moment M, acting on a beam (Fig. 1) by considering the translation and rotational equilibrium of an element of the beam (Fig. 2).

Type
Research Article
Copyright
Copyright © Mathematical Association 1965 

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References

1. Rankine, W. J. M. A, Manual of Applied Mechanics, Griffin, London, 1858.Google Scholar
2. Morley, A., Strength of Materials, Longman-Green, London, 1908.Google Scholar
3. Shames, I. H., Engineering Mechanics, Prentice-Hall, New Jersey, 1958.Google Scholar