beam is required to carry a uniform dead load of 3.4 kip/ft plus its self-weight, and a concentrated dead load of 12 kips and a concentrated live load of 20 kips, both at the center of a 40 ft span. For bending only, determine the least-weight W-shape to carry the load. Consider only the limit state of yielding and use A992 steel. Design by (a) LRFD and (b) ASD.

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

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.

Acompressor receives the shaft work to decrease the pressure of the fluid. a)- true b)- false