Thick Circular Cylindrical Shell under Shear Deformation

Abstract

The problem of a circular cylindrical shell, subjected to a shear deformation produced by two parallel rigid plates fixed at its edges, is treated by applying the approximate thick shell theory presented by the author. The theory is developed by the introduction of a quantity which is expressed as a couple of transverse shear stresses about a coordinate line on the middle surface. The results of applying this theory are compared with the solutions using the classical thin shell theory restricted by the kirchhoff hypothesis. It is shown that the effect of transverse shear deformation is not small when the thickness of the shell is comparatively large, and that, due to the curvature of the shell, the transverse shear stress through the thickness attains its maximum value at the surface which largely deviates from the middle surface.