The Torsion Problem of a Cylindrical Rod Composed of Semi-infinite Solid and Hollow Cylinders

Abstract

The torsion problem of a cylindrical rod, which is composed of semi-infinite solid and hollow cylinders bonded completely at each end, is studied. A stress singularity appears at the corner of the connected rod. The problem is solved by the method of series expansion in consideration of the stress singularity at the corner. The distributions of the displacements and the stresses for various ratios of the radii and for various ratios of the shear moduli are obtained.