Hostname: page-component-5c6d5d7d68-wtssw Total loading time: 0 Render date: 2024-08-09T15:27:37.038Z Has data issue: false hasContentIssue false
  • English
  • Français

Plate-Reinforced Holes

Published online by Cambridge University Press:  07 June 2016

G. A. O. Davies
G. A. O. Davies*
Affiliation:
Department of Aeronautics, Imperial College
Get access

Summary

The problem considered is the theoretical analysis and design of reinforcement around holes in plane sheets subjected to prescribed stresses at infinity. The reinforcement is taken to be an extensive thin plate attached to the sheet rather than the usual “compact bead” placed around the inside of the hole. The optimum design of the hole and the reinforcement is treated in two ways, firstly as an attempt to produce a “neutral hole” and secondly, to achieve the smallest stress concentration with the minimum amount of reinforcement. It is found in two cases that the plate-reinforcement can be as efficient as the bead but that, for both types, the validity of the theory is doubtful just when they are most efficient.

Type
Research Article
Information
Aeronautical Quarterly , Volume 18 , Issue 1 , February 1967 , pp. 43 - 54
Copyright
Copyright © Royal Aeronautical Society. 1967

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. 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, Part 1, p. 23, 1950.CrossRefGoogle Scholar
2. 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, Part 3, p. 370, 1953.CrossRefGoogle Scholar
3. Hicks, R. Reinforced elliptical holes in stressed plates. Journal of the Royal Aeronautical Society, Vol. 61, p. 688, October 1957.CrossRefGoogle Scholar
4. Wittrick, W. H. The stresses around reinforced elliptical holes in plane sheet. Aero Research Laboratories (Melbourne), Report S.M. 267, May 1959.Google Scholar
5. Wittrick, W. H. Analysis of stress concentrations at reinforced holes in infinite sheets. Aeronautical Quarterly, Vol. XI, p. 233, August 1960.CrossRefGoogle Scholar
6. Houghton, D. S. and Rothwell, A. The effect of curvature on the stress concentration around holes in shells. College of Aeronautics Report No. 156, May 1962.Google Scholar
7. Van Dyke, P. Stresses about a circular hole in a cylindrical shell. AIAA Second Aerospace Sciences Meeting, Paper No. 65-140, 1965.CrossRefGoogle Scholar
8. Suzuki, Shin-Ichi. Stress measurements in a plate containing a reinforced circular hole using a photo-elastic method. International Journal of Mechanical Sciences, Vol. 6, December 1964.CrossRefGoogle Scholar
9. Buchwald, V. T. and Davies, G. A. O. Plane elastostatic boundary value problems of doubly connected regions. I. Quarterly Journal of Mechanics and Applied Mathematics, Vol. 17, Part 1, p. 1, 1964.CrossRefGoogle Scholar
10. Muskhelishvtli, N. I. Some basic problems of the mathematical theory of elasticity. P. Noordhoff, Groningen, 1953.Google Scholar
11. Sheremetev, M. P. Influence on a uniformly stressed plane field of an elastic ring which is welded into a curvilinear hole. Ukr. Mat. Zh. No. 3, Kiev, 1949.Google Scholar