Stresses in Thin Shells

This course covers the intricate calculations of stresses in thin shells, particularly those with an axis of symmetry and small wall thickness. For instance, it delves into the stress calculations in cylindrical, spherical, conical, or toroidal shells, focusing on axial and circumferential stresses. The course also explores the concept of toroidal shells, their generation, and stress calculation. It further discusses the differences in stress distribution in spherical and conical shells. The course also introduces the concept of beam on elastic foundation and its applications, such as in pipelines. It explains how different materials with varying coefficients of thermal expansion can lead to stress. The course provides an illustrative example of a semi-infinite beam subjected to concentrated load and bending moment, explaining how to calculate the deflection, slope, bending moment, and shear force. Lastly, the course applies the beam on elastic foundation analysis to pressure vessels, discussing the deformation of a cylindrical vessel subjected to radially distributed loading.