Question $4.$

A $400$ mm OD steel cylinder with a nominal ID $240$ mm is shrunk onto another steel cylinder of

$240$ mm OD and $140$ mm ID$.$ The radial interference $$ is $0\mathrm{.}3$ mm $.$ Use $E=200$GPa and $v=0\mathrm{.}3.$ Find

the interface pressure $P_0$ and plot the radial and tangential stresses in both cylinders. Then find the

maximum internal pressure which may be applied to the assembly if the maximum tangential stress on

the inside cylinder is to be no more than $140$ MPa $.$ ; inner cylinder to

$244$MPa,${}_r=0$ to $120\mathrm{.}3$ MPa