An external pressure of 10 MPa is applied to a closed-end thick cylinder of internal diameter 160 mm and external diameter 320 mm. The maximum hoop stress permitted on the inside wall of the cylinder...

 An external pressure of 10 MPa is applied to a closed-end thick cylinder of internal diameter 160 mm
and external diameter 320 mm. The maximum hoop stress permitted on the inside wall of the cylinder
is limited to 30 MPa. The cylinder has the mechanical properties of E = 207 GPa and v = 0.3.
a) What is the maximum internal pressure that can be applied?
b) Determine the maximum shearing stress (absolute) in the cylinder.
c) Calculate the change in outside diameter when the pressures are applied