Problem 3: Spherical Pressure Vessel

A thin-walled spherical vessel contains a pressure p and has an inner radius r and a wall thickness t. It is

made of an isotropic, homogeneous material that behaves in a linear-elastic manner. Determine the following

as a function of the pressure (p), the geometric dimensions (r, t) and the materials constants (E, v) involved:

a) Change in radius Ar

b) Change in wall thickness At

For spherical pressure vessel: 6=6=pr/2t, ₂~0