Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T21:54:51.807Z Has data issue: false hasContentIssue false
  • English
  • Français

Variably Reinforced Circular Holes in Stressed Plates

Published online by Cambridge University Press:  07 June 2016

Raymond Hicks
Raymond Hicks*
Affiliation:
G.E.C. Simon-Carves Atomic Energy Group
Get access

Summary

Expressions are obtained for the radial, tangential, and shear stresses in an infinite plate containing a variably reinforced circular hole. The variation in the cross-sectional area of the reinforcement is chosen so that the maximum tensile resistance of the reinforcement occurs at points around the hole where the stresses in the plate tend to be high. It is shown that when the reinforcement has a given weight, the effect of varying its cross section is to reduce the stress concentration in the plate.

The following particular applied stress systems are considered:—

  1. (i) Uniform tension or compression in one direction.

  2. (ii) Uniform shear.

  3. (iii) Unequal principal stresses.

For the particular cases of uniform end loading and unequal applied stresses in the ratio 2:1, data have been obtained which enable the designer to determine the stress distribution in plates with reinforcements having a reasonably wide range of practical dimensions.

Type
Research Article
Information
Aeronautical Quarterly , Volume 9 , Issue 3 , August 1958 , pp. 213 - 231
Copyright
Copyright © Royal Aeronautical Society. 1958

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. Kirsch, G. Theorie der Elastizitat Bedurfrisse der Festigkeitslehre. Verein Deutscher Ingenieure, Vol. 42, p. 113. 1898.Google Scholar
2. Timoshenko, S. Stresses in a Plate with a Circular Hole. Bulletin of the Polytechnic Institute, Kiew, 1907.Google Scholar
3. Timoshenko, S. and Goodier, J. N. Theory of Elasticity. McGraw-Hill, New York, 1940.Google Scholar
4. Gurney, C. An Analysis of the Stresses in a Flat Plate with a Reinforced Circular Hole under Edge Forces. R. & M. 1834, 1938.Google Scholar
5. Timoshenko, S. Stresses on a Plate with a Circular Hole. Journal of the Franklin Institute, Vol. 197, p. 508, 1924.CrossRefGoogle Scholar
6. Beskin, L. Strengthening of Circular Holes in Plates under Edge Loads. Journal of Applied Mechanics, p. A–140, September 1944.CrossRefGoogle Scholar
7. Mansfield, E. H. Neutral Holes in Plane Sheet. Quarterly Journal of Mechanics and Applied Mathematics, Vol. VI, Part 3, 1953.Google Scholar
8. Mansfield, E. H. Optimum Designs for Reinforced Circular Holes. A.R.C. Current Paper 239, 1956.Google Scholar
9. 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. III, Part I, 1950. Google Scholar
10. Hicks, R. Reinforced Elliptical Holes in Stressed Plates. Journal of the Royal Aeronautical Society, Vol. 61, p. 688, October 1957.CrossRefGoogle Scholar
11. Reissner, H. and Morduchow, M. Reinforced Circular Cut-Outs in Plate Sheets, N.A.C.A. T.N. 1852, April 1949. Google Scholar