Abstract

In this paper, the torsion or the stretching problem for a spiral rod is treated theoretically. The equations of equilibrium expressed in terms of displacements are reduced to the forms which are independent of one co-ordinate. They are readily integrated for the particular case of small helix angle, and the corresponding displacements and stresses can be expressed in the forms which contain three arbitrary plane harmonic functions, determination of which is depending on the shape of the section. As an application of the general solution, the problem of an elliptic section is solved explicitly. The numerical results are also given.

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