Elastic analysis of cylindrical pressure vessels with various end closures

Abstract

The well-known problem of the elastic analysis of cylindrical pressure vessels with hemispherical, torispherical and ellipsoidal heads, involving the partial differential equations for the classical theory of thin shells of revolution axisymmetric in character, is attempted here using a step-by-step integration procedure and a segmentation technique. The numerical results are obtained with a generalised computer program for a number of cases and for a given set of values of elastic moduli, Poisson's ratio and thickness/diameter ratio. The results are compared with the known results available in literature and also with the stresses predicted by the ASME Code.