A manure spreader tank is shown in Figure P12–15. The tank is 90 in. long. The bottom ax...

A manure spreader tank is shown in Figure P12–15. The tank is 90 in. long. The bottom axle is 12 in. long measured along the tank axis direction and located in the middle. The single front end coupling is 6 in. in length measured along the axis of the tank. The pressure is a variable surface pressure extending from the top edge to bottom and given by the function shown with a maximum pressure of 11.6 psi at the center of the tank. (The density of manure is taken as 8.3 lbf/gallon or 0.0359 lbf/in.³). Other dimensions are shown in the figures. Assume the tank is made of plate steel with modulus of elasticity of 29 × 10⁶ psi and Poisson’s ratio of 0.29. Determine the von Mises stress

throughout the tank and the maximum displacement. (This problem compliments of Justin Hronek.)