Stresses in a Circular Disk with an Eccentric Circular Hole Fixed at its Centre and under a Tangential Force on the Outer Edge

Abstract

In the previous paper the stresses in a circular disk with an eccentric circular hole under radial force were reported. This paper, however, gives a theoretical solution to a disk containing an eccentric circular hole fixed at its centre and under a tangential force on the outer edge, and the inner edge being unstressed. In this problem the bipolar coordinates are used. The Airy stress function is used as a method of solution, and the auxiliary stress function is added to the basic function which gives the stress state in the disk fixed at its centre and under a tangential force on its edge. By the numerical calculation it appears that the edge or circular hole being near the centre of disk, has larger maximum stress. The limiting case, in which the semi-infinite plate has a circular hole in the neighbourhood of its straight edge, is also discussed.