Asteel plate is to be attached to a support with three bolts. the plate is 50 mm wide and 11.2 mm thick and the yield strength of the steel is 250 mpa. the ultimate bearing strength of the bolts is 540 mpa. a factor of safety of 1.67 with respect to yield is required for the plate. a factor of safety of 4.0 with respect to the ultimate bearing strength is required for the bolts. determine the minimum bolt diameter required to develop the full strength of the plate. (note: consider only the gross cross-sectional area of the plate)

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.