The Axially Symmetrical Deformation of a Short Circular Cylinder

Abstract

The object of this paper is to find the stresses and displacements in a short circular cylinder or a disk deformed symmetrically with respect to its axis. The surface tractions are separated into eight cases, each of which is expanded in a series of trigonometric or Bessel functions and the stress system for each case is found and combining these stress systems, the general solution has been obtained. This method is applied to a short circular cylinder, strained by surface tractions, viz., (1) a uniform pressure distributed over the middle zone of the cylindrical surface, (2) a uniform pressure distributed over a circle at the centere of each end-surface.