ANALYSIS OF S-S SHORT CYLINDRICAL SHELLS UNDER INTERNAL HYDROSTATIC PRESSURE USING POLYNOMIAL SERIES SHAPE FUNCTION

Abstract

A new approach to the analysis of S-S short cylindrical shells subject to internal hydrostatic pressure is presented. Short cylindrical shells with both ends simply supported (S-S) loaded with axisymmetric internal hydrostatic pressure was considered. By satisfying the boundary conditions of S-S short cylindrical shell in the general polynomial series shape function, a particular shape function for the shell was obtained. This shape function was substituted into the total potential energy functional of conservation of work principle, and by minimizing the functional; the unknown coefficient of the particular polynomial shape function was obtained. Bending moments, shear forces and deflections of the shell were determined, and used in plotting graphs for a range of aspect ratios, 1 ≤ L/r ≤ 4. Stresses and deflections at various points of the shell were determined for different cases. Considering case one, with aspect ratio 1, maximum values of deflection, rotation, bending moment and shear force were m, -3.29878 radians, KNm and KN respectively. Thus we observed that the stresses and strains along the S-S short cylindrical reservoir vary inversely as the aspect ratio.