A circular rotating shaft is subjected to a static bending moment M and a torque that varies from a value of zero to T. Apply the energy of distortion theory together with soderberg's relation to obtain the following expression for the required shaft radius: r=[T/(pi*sigma cr)*((sigma cr/ sigma yp)*(16(M/T)^2+3)^.5+(3)^.5)]^1/3

A2-m rigid tank initially contains saturated water vapor at 100 kpa. the tank is connected to a supply line through a valve. steam is flowing in the supply line at 600 kpa and 300 c. the valve is opened, and steam is allowed to enter the tank until the pressure in the tank reaches the line pressure, at which point the valve is closed. a thermometer placed in the tank indicates that the temperature at the final state is 200°c. determine (a) the mass of steam that has entered the tank (b) the amount of heat transfer.