Equations developed to describe the static response of thick, orthotropic, circular cylindrical shells to arbitrary loads are systematically applied to a number of specific problems and the results are compared to the results in the theory of elasticity. The results show that the proposed shell equations can be applied with a reasonable degree of confidence to shells with a thickness to mean radius ratio ha as large as 15, and in some instances to thicker shells. The accuracy achieved in determining the stress and displacement of the shells at the loaded surfaces shows that the proposed shell equations are particularly well suited for interaction problems. This justifies their use for describing the structural behavior of the core of a thick sandwich shell. Finally, strong evidence for the validity of the basic assumptions of the shell theory considered are provided by the comparisons in the report.