Asolid shaft of diameter 1.5" is loaded in bending with a moment of 5000 lb-in, torsion with a torque of 8000 lb-in and an axial force of 6000 lb. for a 40 ksi yield stress in tension, determine the safety factor using the von mises criteria.

Refrigerant-134a enters the compressor of a refrigerator as superheated vapor at 0.14 mpa and -10°c at a rate of 0.05 ka/s and leaves at 0.8 mpa and 50°c. the refrigerant is cooied in the condenser to 0.72 mpa and 26'c. it is then throttled to 0.15 mpa. sketch the t-s diagram for the system and evaluate: 6) the rate of heat removai from the refrigerated space (kw), it) the power input to the compressor (kw), ii) the isentropic efficiency of the compressor (%), and iv) the cop of the refrigerator.