A simply supported beam is loaded by a couple M as shown. The beam is 2m long and of square cross section 50 mm on a side. If the maximum permissible deflection in the beam is 5mm, and the allowable stress is 150 MPa, find the maximum allowable load M. Use E=200GPa. ​

Steam enters a converging nozzle at 3.0 mpa and 500°c with a at 1.8 mpa. for a nozzle exit area of 32 cm2, determine the exit velocity, mass flow rate, and exit mach number if the nozzle: negligible velocity, and it exits (a) is isentropic (b) has an efficiency of 94 percent