Gere & Goodno — Applications of Plane Stress: Problem 8.3-8

8.3-8 A circular cylindrical steel tank (see figure) contains a volatile fuel under pressure. A strain gage at point A records the longitudinal strain in the tank and transmits this information to a control room. The ultimate shear stress in the wall of the tank is 98 MPa, and a factor of safety of 2.8 is required. (a) At what value of the strain should the operators take action to reduce the pressure in the tank? (Data for the steel are modulus of elasticity \(E = 210\) GPa and Poisson’s ratio \(\nu = 0.30\).) (b) What is the associated strain in the radial direction?