Abstract
The Cartesian coördinate system (x,y) is clearly particularly suited to the problem of determining the stresses in a rectangular body whose boundaries are defined by equations of the form x = a,y = b. A wide range of such problems can be treated using stress functions which are polynomials in x, y. In particular, polynomial solutions can be obtained for’ Strength of Materials’ type beam problems in which a rectangular bar is bent by an end load or by a distributed load on one face.
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Notes
Notice however that the terms in (5.61) degenerate to trivial polynomial forms for i = 0. It is therefore generally necessary to include a low degree polynomial in the stress function to describe the uniform component in the tractions.
I.N. Sneddon, Fourier Transforms, McGraw-Hill, New York, 1951.
A. Erdelyi, ed., Tables of Integral Transforms, Bateman Manuscript Project, California Institute of Technology, Vol.1, McGraw-Hill, New York, 1954.
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© 1992 Springer Science+Business Media Dordrecht
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Barber, J.R. (1992). Problems in Rectangular Coördinates. In: Elasticity. Solid Mechanics and Its Applications, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2454-6_5
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DOI: https://doi.org/10.1007/978-94-011-2454-6_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-1610-7
Online ISBN: 978-94-011-2454-6
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