A thick$-$walled cylinder has an inside diameter of $200mm.$ The cylinder is subjected to an internal pressure of $150\frac{N}{m}{m}^2.$ Determine the wall thickness according to the energy of distortion theory of elastic failure and the increase in the inside diameter caused by the internal pressure. $E=72G\frac{N}{m^2}$GPa, $y=250\frac{N}{m}{m}^2$ and $,v=033.($ use lame's equation$)$