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Stresses in a Square Plate Having a Central Circular Hole

Published online by Cambridge University Press:  04 July 2016

C. A. O. Davies*
Affiliation:
Department of Aeronautical Engineering, University of Sydney, New South Wales

Extract

An established method is used to find the stresses in a square plate pierced by a central circular hole. Although the method is not new, the problem is a practical one which has attracted some interest and for which some excellent experimental results are available.

The general problem of a finite plate containing a circular hole was examined by Sekiya who selected various combinations of the general solutions of the biharmonic equation in polar co-ordinates such that the boundary conditions on the hole were satisfied exactly. The boundary conditions on the sides of the plate were satisfied approximately by collocation. The same approach has recently been suggested by Waters for the particular case of a stress-free hole.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Buchwald, V. T. and Davies, G. A. O.Plane Elastostatic Boundary Value Problems of Doubly Connected Regions. Quart Jnl Mech and Appl Math, Vol. 17, Pt 1, p 1, Feb 1964.Google Scholar
2.Riley, W. F., Durelli, A. J. and Theocaris, P. S. Further Stress Studies on a Square Plate with a Pressurized Central Circular Hole. Fourth Midwestern Conference on Solid Mechanics, p 91, 1959.Google Scholar
3.Sekiya, T. An Approximate Solution in the Problems of Elastic Plates with an Arbitrary External Form and a Circular Hole. Proc 5th Japan Nat Congress Appl Mechanics, p 95, 1955.Google Scholar
4.Waters, H.The Approximate Distribution of Stress in a Finite Plate having a Stress-Free Circular Cut-Out. Journal of the Royal Aeronautical Society, Vol. 68, p 204, March 1964.Google Scholar
5.Dhaliwal, R. S.Bending of a Rectilinear Regular Polygonal Plate with a Circular Hole by Concentrated Edge Couples. App Scientific Research, Section A, Vol. 13, No. 1, p 43, 1964.Google Scholar
6.Koiter, W. T.An Elementary Solution of Two Stress Concentration Problems in the Neighbourhood of a Hole. Quart App Maths, Vol. 15, No. 3, p 303, October 1957.Google Scholar
7.Muskhelishvili, N. I.Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff, Holland, 1953.Google Scholar