Deformation and Strength of a Pressure Vessel with Elliptical Cross Section

Abstract

In the present paper, a pressure vessel with an elliptical cross section under uniform internal pressure is considered and the deformations and the stresses produced in it are discussed. As an eliptical cross section, it is conventional, in practice, to use a quasi-one connected by two circular-arcs. To obtain its exact solution the differential equation introduced by Dr. K. Mizoguchi is used and the analytical results are confirmed by the experimental ones obtained by H. Yamanaka and others. The results show that the deformations and the stresses in the vessel have very complicated features according to the forms of cross section and the lengths of shells. As pointed out by one of the authors in the previous paper, it is seen that it is not appropriate to use the energy method and the other approximate ones.