Calculate the vertical anchoring forces, Mechanical Engineering

A converging elbow (see Figure 4) turns water through an angle of 135o in a vertical plane. The flow cross-section diameter is 400 mm at the elbow inlet, section (1), and 200 mm at the elbow outlet, section (2). The elbow flow passage volume is 0.2 m3 between sections (1) and (2). The water volume flowrate is 0.4 m3/s, and the elbow inlet and outlet gauge pressures are 150 and 90 kPa, respectively. The elbow mass is 12 kg. Calculate the horizontal (x direction) and vertical (z direction) anchoring forces required to hold the elbow in place. Ignore viscous effects. (ρw=1000 kg/m3, g=9.81 m/s2)

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