Stresses in a Circular Cylindrical Shell Having Two Circular Cutouts

Abstract

Stress analysis for a circular cylindrical shell having two circular cutouts of equal size is worked out. The following four cases are treated. A circular cylindrical shell having two circular cutouts of equal size (a) in a longitudinal direction under uniform tension, (b) in a circumferential direction under uniform tension, (c) in a longitudinal direction under internal pressure and (d) in a circumferential direction under internal pressure. The method of Green's general biharmonic analysis is extended to this problem and the boundary conditions along the edge of cutouts are satisfied by the point-matching method. Numerical solutions are obtained for three kinds of diameter of circular cutout and four kinds of center-distance of the cutouts. Especially, in the cases of (a) and (b), the results are compared with those of the flat plate.