Apiping installation is used to transport water from a reservoir (location 1) to a point of use (location 2) 50 meters above. the absolute pressure of water at the inlet of the installation is 100 kpa; the gauge pressure measured right before the point of use is 500 kpa. if the pump is rated to utilize 20kw, determine the volumetric flow rate. assume that because the piping at locations (1) and (2) have the same diameter the average velocities of water are equal and the density of water is 1000 kg/m^3.

Acantilever of 3 m length with a t-shaped cross-section is loaded by three concentrated loads: w,-80 n at the free end, w 30 n, and w,-60 n at a distance of 1 m from the free end. all loads are applied at the outer edges of the flange as indicated in the sketch below. (a)-determine the maximum torsional shear stresses in the flange and in the web at distances 0.5 m and 2.5 m from the free end (sections i and ii marked in the sketch) b)- determine thefh end cross section assuming a shear modulus of 210 gpa.