Arectangular column of length l and cross-section 2 cm x 4 cm is cemented into the ground at one end. a weight on top applies an axial force f. for this column to perform its function, it must not buckle, so buckling is considered one type of failure in this case. plot the force fcrit required to cause the column to fail, as a function of l. assume e = 10 gpa, uss = 10 mpa, uts -20 mpa, and ucs 40 mpa. hints: consider failure due to both buckling and crushing, and don't forget your stress analysis.

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.

For a gate width of 2 m into the paper, determine the force required to hold the gate abc at its location.

In the winter, in order to keep the classroom steadily at 68 f before 10 pm, heating with an average rate of 42,000 btu/hr is provided. assume the outdoor temperature maintains at 32°f, determine the electrical power (kw) required to (a) operate a reversible heat pump (b) operate a real heat pump with a cop (7) of 4.5 and (c) operate an electrical-resistance heater.