The elastic sphere under concentrated torques

The twisted sphere

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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 £ = a about the z-axis.

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“…THE TWISTED SPHERE C. SNBLL 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.…”