A bolt is tightened, subjecting its shank to a tensile stress of 80 kpsi and a torsional shear stress of 50 kpsi at the critical point. All other stresses are zero. The material is a brittle material with Sut = 80 kpsi and Suc =150 kpsi. Find the factor of safety at the critical point by the more conservative failure theory and determine if the bolt will fracture.

The catalogue for a refrigerant 22, four-cylinder, hermetic compressor operating at 29 r/s. a condensing temperature of 40°c and an evaporating temperature of -4°c shows a refrigeration capacity of 115 kw. at this operating point, the motor (its efficiency is 90 percent) draws 34.5 kw. the bore of the cylinders is 87 mm and the piston stroke is 70 mm. the performance data are based on 8°c of sub-cooling of the liquid leaving the condenser. compute (a) the actual volumetric efficiency and (b) the compression efficiency.