Theoretical Elastic Stress Distributions Arising from Discontinuities and Edge Loads in Several Shell-type Structures

The deformation and complete stress distribution are determined for each of the following edge-loaded thin shells: (1) a right circular cylinder, (2) a frustum of a right circular cone, and (3) a portion of a sphere. The locations of maximum circumferential and meridional stresses are also found. Equations are developed for discontinuity shear and moment at the following junctions: (1) axial change of thickness in a circular cylinder, (2) axial change of thickness in a cones, (3) change of thickness in a portion of a sphere, (4) a cylinder and a cone, (5) a cylinder and a portion of a sphere, (6) a cylinder and a flat head, and (7) a cone and a portion of a sphere.