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Australian Journal of Chemistry Australian Journal of Chemistry Society
An international journal for chemical science
RESEARCH ARTICLE

The Uniform Flexure of an Incomplete Tore

W Freiberger and RCT Smith

Australian Journal of Scientific Research 2(4) 469 - 482
Published: 1949

Abstract

In this paper we discuss the flexure of an incomplete tore in the plane of its circular centre-line. We reduce the problem to the determination of two harmonic functions, subject to boundary conditions on the surface of the tore which involve the first two derivatives of the functions. We point out the relation of this solution to the general solution of three-dimensional elasticity problems. The special case of a narrow rectangular cross-section is solved exactly in Appendix II.

https://doi.org/10.1071/CH9490469

© CSIRO 1949

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