The fixture shown in Figure 5 is fixed at point A and free at point C. The frame is made from a steel bar 50 mm wide and 75 mm thick. Assuming Young's modulus for steel to be 200 GPa, determine the vertical deflection at C due to the applied load of 5 kN. Use Castigliano's theorem and ignore any axial or shear deformations. A 4.5 m Figure 5 KN 1.5 m b Cross section 0 II = h K 50 mm = 75 mm

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Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?