ON THE STRESS-CONCENTRATION PROBLEM OF A CIRCULAR SHAFT WITH A SEMICIRCULAR GROOVE UNDER TENSION - AN APPLICATION OF GREEN-FUNCTIONS FOR BODY FORCE PROBLEMS OF A SOLID CYLINDER

The stress concentration problem of an elastic circular shaft with an annular groove of a semicircular form under tension is considered. The problem was treated by several authors, but it seems that these results do not always agree with one another. In the present problem, the author's results are in fairly good agreement with Sato's results analyzed by F. E. M. and measured by strain gages. It may be also said that the form factors shown conform to Neuber's results in the case of large radii of a groove compared with the radius of the shaft and also conform to Peterson's results in the case of small radii of a groove. A fundamental principle of the method of solution employed is to superpose Green's functions for axisymmetric body force problems of a solid circular cylinder. This method can be easily applied to other annular groves besides a semicircular one treated here.