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

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.