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The twisted sphere

Published online by Cambridge University Press:  26 February 2010

C. Snell
C. Snell
Affiliation:
Department of Civil and Municipal Engineering, University College, London.
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Extract

The problem of the isotropic elastic sphere under the application of equal and opposite point couples ±N at its poles has been treated by M. Sadowsky [1] and by A. Huber [2]. The object of this note is to obtain their results by elementary means.

The problem is an example of the torsion of a shaft of varying circular section, the surface of the shaft being obtained by rotating a curve ξ = α about the z-axis.

Type
Research Article
Information
Mathematika , Volume 4 , Issue 2 , December 1957 , pp. 162 - 165
Copyright
Copyright © University College London 1957

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References

1.Sadowsky, M., Naval Research Project, Tech. Report, No. 12 (1955), Rensselaer Polytechnic Inst., Troy, N.Y.Google Scholar
2.Huber, A., Quart. of Applied Math., 013 (1955), 98–102.CrossRefGoogle Scholar
3.Higgins, T. J., Experimental Stress Analysis, 003 (1945), 94.Google Scholar
4.Jeffery, G. B., Phil. Trans. Royal Soc. (A), 221 (1921), 265–293.Google Scholar