A compound cylinder is made by shrinking a jacket on to a cylinder. For the compound cylinder,

the outer and inner radii are $100$ mm and $60$ mm$,$ and the radius at the junction is $80$ mm$.$ Before

the fluid pressure of $45$ N$/$mm$2$

is applied, the radial pressure at the junction is $15$ N$/$mm$2$

$.$

Determine the final stresses in the cylinder. Also calculate the difference in the diameters of tubes

before the jacket is shrunk on to the cylinder.