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The flexure and torsion of aeolotropic beams

Published online by Cambridge University Press:  24 October 2008

A. E. Green
A. E. Green
Affiliation:
The UniversityDurham
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Extract

Many writers have studied special cases of the Saint-Venant torsion and flexure problem for an isotropic beam of constant cross-section. An excellent summary of this work has been given by Stevenson (4) who also greatly extended the field of application of the theory by showing that the general Saint-Venant problem can be reduced to the solution of boundary problems involving six simple ‘canonical’ flexure functions. Miss Rosa Morris (2, 3) has applied the Saint-Venant theory, as extended by Stevenson, to the solution of the flexure and torsion problem for beams possessing two fairly general types of cross-section, her results including many previous solutions as special cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 43 , Issue 1 , January 1947 , pp. 68 - 74
Copyright
Copyright © Cambridge Philosophical Society 1947

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References

REFERENCES

(1)Love, A. E. H.The mathematical theory of elasticity, 4th ed. (Cambridge, 1934).Google Scholar
(2)Morris, R. M.Proc. London Math. Soc. 46 (1940), 81.CrossRefGoogle Scholar
(3)Morris, R. M.Proc. London Math. Soc. 49 (1945), 1.Google Scholar
(4)Stevenson, A. C.Philos. Trans. A, 237 (1938), 161.Google Scholar