(Answered): A thin-walled cylindrical pressure vessel of length L. radius R and thickness t is subjected to an ...

A thin-walled cylindrical pressure vessel of length L. radius R and thickness t is subjected to an internal pressure p, a twisting moment T and a tensile axial end thrust F, as shown in the figure. The tube is linearly elastic and has a Young's modulus (or modulus of elasticity) E and Poisson's ratio v. xy Tube- Length: L Tube-Radius: R Tube-Thickness: t a. Stress state. Find the 3-D stress state of the multi-axially loaded thin-walled tube b. Strain energy density. Prove the strain energy density U, stored in the tube is F pR F pR( pR where shear modulus of elasticity (or modulus of rigidity): G 2(1+v