Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T04:46:43.440Z Has data issue: false hasContentIssue false

The elastic stresses produced in the mid-plane of a slab by pressures applied symmetrically at its surface

Published online by Cambridge University Press:  24 October 2008

J. A. Greenwood
Affiliation:
Tube Investments Research Laboratories, Cambridge

Abstract

Formulae for the elastic stress distribution in an infinite slab due to symmetrical pressure distributions on the upper and lower faces have been given by Filon (two dimensions) and by Sneddon (axial symmetry). Few numerical values have been published except for the limiting cases of line and point loads. The stresses in the mid-plane are given here for a uniform pressure acting over circles and bands of different sizes, and the published values for a point load are shown to be wrong.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1964

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

(1)Filon, L. N. G.Philos. Trans. Boy. Soc. London, Ser. A, 201 (1903), 63155Google Scholar
(2)Frocht, M. M.Photoelasticity, Vol. II (John Wiley: 1943), 7477.Google Scholar
(3)Lebedev, N. N. and Ufliand, Ia. S.Prikl. Mat. Mekh. 22 (3) (1958), 320326Google Scholar
(4)Nelson, C. W. J.Appl. Mech. 29 (1962), 9198CrossRefGoogle Scholar
(5)Padfield, D. G. and Sida, J.Quart. J. Appl. Math. Mech. 10 (1957), 271.CrossRefGoogle Scholar
(6)Sneddon, I. N.Proc. Cambridge Philos. Soc. 42 (1946), 260271CrossRefGoogle Scholar