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Shearing displacement of a rectangular plate

Published online by Cambridge University Press:  24 October 2008

E. H. Mann
E. H. Mann
Affiliation:
Girton CollegeCambridge
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Extract

A solution is given of a problem already solved by Inglis, a rectangular plate stressed by the uniform longitudinal relative displacement of two opposite edges, the other pair of sides remaining free. The method used here yields a more accurate solution with greater rapidity than did the previous paper. The general form of the solution is given for a plate of any dimensions, and a plate of sides in the ratio 2:1 is considered in more detail. An approximate solution is obtained by taking four terms of an infinite series, and the consequent errors discussed and compared with those of Inglis.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 2 , April 1949 , pp. 258 - 262
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Bragg, W. L.Proc. Roy. Soc. A, 190 (1947), 474.Google Scholar
(2)Coker, E. G.Proc. Roy. Soc. A, 86 (1912), 291.Google Scholar
(3)Inglis, C. E.Proc. Roy. Soc. A, 103 (1923), 598.Google Scholar
(4)Pickett, J. S.J. Appl. Mech. 11 (1944), A 176.Google Scholar