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Analysis of a Class of Variable Thickness Reinforcement around a Circular Hole in a Flat Sheet

Published online by Cambridge University Press:  07 June 2016

E. H. Mansfield
E. H. Mansfield*
Affiliation:
Royal Aircraft Establishment, Farnborough
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Summary

This paper determines the sheet thickness variation near a circular hole to yield a constant hoop stress in a sheet subjected to uniform radial stress at infinity. A similar analysis is presented for a variable thickness sheet plus an annular reinforcement. The stresses due to the remote application of shear and uniaxial tension are also determined.

Type
Research Article
Information
Aeronautical Quarterly , Volume 21 , Issue 4 , November 1970 , pp. 303 - 312
Copyright
Copyright © Royal Aeronautical Society. 1970

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References

1. Gurney, C. An analysis of the stresses in a flat plate with a reinforced circular hole under edge forces. ARC R & M 1834, February 1938.Google Scholar
2. Mansfield, E. H. Neutral holes in plane sheet: reinforced holes which are elastically equivalent to the uncut sheet. ARC R & M 2815, September 1950.Google Scholar
3. Williams, D. The theory of aircraft structures, Chapter 9. Edward Arnold, London, 1960.Google Scholar
4. Mansfield, E. H. On the analysis of elastic plates of variable thickness. Quarterly Journal of Mechanics and Applied Mathematics, Vol. XV, Pt. 2, 1962.Google Scholar