A ductile AISI 1030 hot-rolled steel bar is stressed. Using the distortion-energy and maximum-shear-stress theories determine the factors of safety for the following plane stress states: a) σx = 20 ksi, σy = 15 ksi
b) σx = 15 ksi, σy = −20 ksi
c) σx = 20 ksi, τxy = −15 ksi
d) σx = −10 ksi, σy = 15 ksi, τxy = −10 ksi
e) σx= −24 ksi, σy = −20 ksi, τxy = −15 ks

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.