Three Dimensional Stress State in an Internally-pressurized Hollow Cylinder with a Reinforcing Ring

Abstract

An internally-pressurized hollow cylinder with a reinforcing ring is studied within the framework of the three dimensional elasticity theory, and the effects of the ring width and the cylinder thickness on the stresses and deformations as well as contact pressure are examined. We assume no shear stresses in the contact zone. The use of Dougall's stress function and method of Fourier transforms then leads to a dual integral equation, which is reduced to simultaneous algebraic equations by use of a series expansion method.