The Stresses in a Hollow Ovaloid Cylinder under an Internal Pressure

Abstract

In the present paper, as a two dimensional problem of elasticity, the problem of the stress distribution in a hollow ovaloid cylinder is solved under the condition of internal pressure. As an example of the present analysis, first, the values of stresses at any point in a hollow ovaloid cylinder under the condition of locally distributed internal pressure were obtained numerically and, finally, the state of stress at any point in the cylinder was clarified. Thus, the values of stresses obtained here were compared with the results of the photo-elastic investigation on an elliptical chain link due to E. G. Coker and L. N. G. Filon and discussed anew somewhat in detail. As another similar example, the values of stresses at any point in an infinite plate having an ovaloid hole under the same condition of loading mentioned above were obtained numerically and the state of stress etc. at any point in the plate was also clarified.