A composite aluminium alloy ( E= 72GPa and v = 0.33 ) cylinder is made up of an inner cylinder with inner and outer diameters of 80 and 120mm, respectively, and outer cylinder with inner and outer diameters of and 120 and 240mm, respectively. The composite cylinder is subjected to an internal pressure of 160MPa.
What the shrinkage pressure must be if the hoop stress at the inside of the composite cylinder is equal to 130MPa. Draw the stress distribution along the walled thickness and discuss whether the composite with the applied pressure is safe or not by using von-Mises and Tresca theory.