Methods of Analysis for Very Thick-Walled Cylindrical Shells

Abstract

Methods of analysis are presented for very thick-walled cylindrical, isotropic shells subjected to axially symmetric lateral and in-plane loads. These methods are developed for shells with ratios of wall thickness to mean radius as large as 0.5, as well as being applicable for thin classical shells which involve Love’s First Approximation. The present methods are elasticity solutions and employ no shell theory assumptions. Explicit solutions are presented for the shell subject to in-plane loads and laterally distributed loads which are constant or varying linearly axially for various boundary conditions at the ends.