Line Load on Cylindrical Shell With End Plates

Abstract

The elastic static stresses and displacements in a shell with end plates are determined when a circular cylinder is subjected to a uniform line load along a generator. The method of solution is the superposition of a particular solution in which the shell’s response is computed for simply supported end conditions and a complementary solution in which the true end plate reactions are imposed on the ends of the cylinder. Examination of the end conditions reveals that the assumptions Nx = w = 0 (no axial force and no radial displacement) are generally justified whereas the assumptions Mx = 0 and v = 0 (no axial moment and no circumferential displacement) will usually lead to considerable relative errors in the axial bending stresses and the circumferential membrane stresses, respectively.