Analysis of C-F Short Cylindrical Shells under Internal Hydrostatic Pressure using Polynomial Series Shape Function

The analysis of short cylindrical shells with one end clamped and the other end free (C-F) under internal hydrostatic pressure was presented. The study was carried out through a theoretical formulation based on polynomial series and application of conservation of work principle. By satisfying the boundary conditions of the C-F short cylindrical shell, a particular shape function was obtained which was substituted into the total potential energy functional of the conservation of work principle and minimized to obtain the unknown coefficient. Aspect ratios considered were in the range 1< L/r <4, stresses and strains at various points of the C-F short cylindrical shell were determined. The most critical case 1, deflection, rotation, shear force and bending moment were 6.62898 * 10,-8.28623 * 10,-119.8900, -359.06997 respectively.It was observed that as the aspect ratio increases, the stresses and strains decreases in magnitude.