Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-17T00:56:55.419Z Has data issue: false hasContentIssue false
  • English
  • Français

Stresses Around Reinforced Elliptical Holes, with Applications to Pressure Cabin Windows

Published online by Cambridge University Press:  07 June 2016

W. H. Wittrick
W. H. Wittrick*
Affiliation:
Department of Aeronautical Engineering, University of Sydney
Get access

Extract

An analytical solution, using complex variable methods, is given for the problem of the stress distribution due to an elliptical hole, reinforced around its boundary, in a plane sheet subjected at infinity either to an arbitrary constant stress system or to a bending type stress system. Numerical results were obtained for a wide range of parameters, including three different shapes of ellipse, and ten different amounts of reinforcement. Poisson's ratio was assumed to be 1/3.

Type
Research Article
Information
Aeronautical Quarterly , Volume 10 , Issue 4 , November 1959 , pp. 373 - 400
Copyright
Copyright © Royal Aeronautical Society. 1959

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. Richards, T. H. Stress Distribution in Pressurized Cabins: an Experimental Study by Means of Xylonite Models. A.R.C. 19, 360, June 1957.Google Scholar
2. Inglis, C. E. Stresses in a Plate Due to the Presence of Cracks and Sharp Corners. Transactions of the Institution of Naval Architects, Vol. 55, p. 219, 1913.Google Scholar
3. Wells, A. A. On the Plane Stress-Distribution in an Infinite Plate with a Rim-Stiffened Elliptical Opening. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 3, p. 23, 1950.Google Scholar
4. Hicks, R. Reinforced Elliptical Holes in Stressed Plates. Journal of the Royal Aeronautical Society, Vol. 61, p. 688, October 1957.Google Scholar
5. Mansfield, E. H. Neutral Holes in Plane Sheet—Reinforced Holes which are Elastically Equivalent to the Uncut Sheet. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 6, p. 370, 1953.Google Scholar
6. Muskhelishvili, N. I. Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen, Holland, 1953.Google Scholar
7. Williams, D. Pressure-Cabin Design. A.R.C. 17,688, March 1955.Google Scholar
8. Wittrick, W. H. The Stresses Around Reinforced Elliptical Holes in Plane Sheet. Aeronautical Research Laboratories (Melbourne) Report A.R.L. S.M. 267.Google Scholar