ABSTRACT
This chapter is devoted to methods for determining the deflection and stress in closed and open circular cylindrical shells, subjected to a variety of loads. To develop the relationships involving the applied-loading, cross-sectional and material properties, internal stress resultants, and deformations of a shell, the approach applied previously is repeated. For this purpose, the equations governing the stress variation within the shell are first developed. Then the deformation causing strain is related to the stress resultants through the appropriate stress–strain relationships as well as to the loading. Finally, the governing equations for deflection are solved by satisfying the edge conditions.
The inextensional-shell theory illustrated here is valid when no midsurface straining of the plate occurs due to the particular type of loading. Topics on shells made from orthotropic and composite materials are included. To complete the analysis of shell deformation and stress, critical loads must also be considered. Buckling action underscores the difference in physical behaviors of a thin shell under compression and under tension. The critical load of a cylinder subjected to axial compression is developed in Sections 15.15 and 15.16.
