For bending only, determine the lightest-weight Shape to carry a uniform dead load of 4.5 kip/ft plus the beam self-weight and a live load of 3.5 kip/ft on a simple span of 24 ft. Consider only the limit state of yielding and use A992 steel. Design by (a) LRFD and (b) ASD.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

How to increase the thermal officiency of an ideal simple rankino cycle? among these methods, which one is the best and why?

Ahelical coil spring has a mean diameter of 50 mm, a wire diameter of 5.5 mm and is wound with a pitch of 10 mm. the spring steel has an ultimate strength of 1250 mpa. find the force needed to compress the spring solid and the wire stress in this condition. state whether the spring will return to its initial length.