Axisymmetric deformation of a thick circular glass-reinforced plastic cylinder with stiffening ribs

Abstract

The state of stress of a circular glass-reinforced cylinder strengthened with equally spaced stiffening ribs has been investigated for uniform axisymmetric and longitudinal loads of intensity p. A system of equilibrium equations is obtained for the shell on the assumption that Hooke's law is valid and that the angles of rotation and shear are commensurable for deformation of an element of the structure. A solution of this system is given for boundary conditions that take into account the compatibility of strains of shell and ribs. As a result of an analysis of the solution the limits of applicability of the theory of thin shells to this type of structure are determined, the effect of anisotropy of the material is estimated, and recommendations are made regarding the choice of optimal reinforcing schemes for cylindrical shells.