Transactions of the Japan Society of Mechanical Engineers
Online ISSN : 2185-9485
Print ISSN : 0029-0270
ISSN-L : 0029-0270
On the General Solution of the Torsion Problem of a Cylinder (3rd Report)
Hajimu OKUBO
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1952 Volume 18 Issue 65 Pages 15-19

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Abstract

The object of the paper is to find a solution for the torsion problem of a shaft with longitudinal notches. Formerly, Shepherd obtained a solution for a circular section with one notch and that with two, using elliptic functions. In the way employed by him, calculations become very troublesome. We find a solution for a shaft with m notches in a simple form, using elementary functions. As an application of the solution, we introduced an approximate solution for a circular section with shallow notches of any form.

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