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Reinforced Elliptical Holes in Stressed Plates

Published online by Cambridge University Press:  28 July 2016

Raymond Hicks
Raymond Hicks*
Affiliation:
Mechanical Engineering Department, G.E.C.-Simon-Carves Atomic Energy Group
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Summary

This paper considers the problem of a reinforced elliptical hole in a plate under the action of a principal stress system of the type found in cylindrical and ellipsoidal pressure vessels. That is, stress systems in which the ratio of the principal stresses is not greater than two to one. It is shown that when the ratio of the major and minor axes of the ellipse can be chosen arbitrarily, practical reinforcements can be designed to give a maximum stress around the hole which is only slightly greater than the maximum stress in a similarly loaded plate with no hole. General expressions are obtained for the stress distribution in the plate around the hole, for the stress acting on a normal cross section of the reinforcement, and for the cross-sectional area of a reinforcement which gives a small stress concentration. These are used to find the variation in the stress distribution around the hole due to reinforcements having different cross-sectional areas when the applied principal stresses are in the ratio of two to one and Poisson's ratio for the material of the plate and reinforcement has practical values.

Type
Research Article
Information
The Aeronautical Journal , Volume 61 , Issue 562 , October 1957 , pp. 688 - 693
Copyright
Copyright © Royal Aeronautical Society 1957

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References

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