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$2.(15$ pts$.)$ A cylindrical steel tank contains pressurized fuel. Strain in the axial direction $($in direction of the long axis of the tank$)$ is monitored with a strain gauge. The allowable pressure in the tank is $1600$ kPa $.$ The wall thickness is $20$ mm and the tank diameter is $1\mathrm{.}2$ m $.$ a$)$ Find the axial and hoop stresses in the tank. b$)$ At what value of the strain should the operators take action to reduce the pressure in the tank? The steel has a modulus of elasticity of $205$ GPa and Poisson's ration $0\mathrm{.}30.$