Torsion of an Elastic Solid Cylinder with One or Two Semicircular Grooves

Abstract

The stress concentration problem of an elastic circular shaft with one or two circumferential grooves of a semicircular form under torsion is investigated in this paper. The torsion problem of an elastic circular shaft with a groove has been investigated by several authors, but it seems that these results do not always agree with one another. The present results for the problem are in fairly good agreement with Nisitani's results calculated by the so called body force method and Kato's experimental results. There are few investigations on the torsion problem of a shaft with two notches. In this paper, the effects of the distance between two grooves and the radius of semicircular grooves on the stress concentration factors are shown. The method of solution employed here is an application of Green's functions for axisymmetric torsional body force problem of a solid circular cylinder. For this purpose, Green's functions mentioned above are shown.