The pipe is made of A992 steel and is connected to the collars at A and B. When the temperature is 60F, there is no axial load in the pipe. If hot gas traveling through the pipe causes its temperature to rise by T = (40 + 15x)F, where x is in feet, determine the average normal stress in the pipe. The inner diameter is 2 in., the wall thickness is 0.15 in.

Problem 4-73The pipe is made of A992 steel and is connected to the collars at A and B. When thetemperature is 60°F, there is no axial load in the pipe. If hot gas traveling through the pipecauses its temperature to rise by T = (40 + 15x)°F, where x is in feet, determine the averagenormal stress in the pipe. The inner diameter is 2 in., the wall thickness is 0.15 in. Step-by-step solution Step 1 of 3 ^Calculate change in the length of the pipe: L T= Tdx 0Here, the linear coefficient of thermal expansion is , the algebraic change in the temperatureof the pipe is T , the algebraic change in the length of the pipe is , the length small portion Tof the pipe is dx, and the length of the pipe is L.Write the expression for the change in the length of the pipe due to average normal stress. = L F EHere, the change in the length of the pipe due to average normal stress is , tFe averagenormal stress is , and the Modulus of Elasticity of the material is E.