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.

An electric kettle is made out of stainless steel, weighs two pounds (when empty) and is equipped with a heating element that consumes 2 kw of electricity. assuming that the water and the kettle are at the same uniform temperature at any moment of time, calculate the shortest possible time to bring 2 quarts of water from room temperature to the onset of boiling