CE340 Homework#7 Due Friday, March 9th
Review sections 6.1 – 6.4. Complete the following:
1. Water flows as two free jets from the tee attached to the pipe as shown in Fig. 7-1. The
exit speed is 15 m/s. Neglecting graving of water within the portion of the pipe,
determine the x and y components of the force that the pipe exerts on the tee at the
flange junction.
Ans: Fx = 72 kN, ←; Fy = 67.4 kN, ↑.
Fig. 7-1
2. A converging elbow (Fig. 7-2) turns water through an angle of 135° in a vertical plane.
The flow cross section diameter is 400 mm at the elbow inlet, section (1), and 200 mm
at the outlet, section (2). The elbow flow passage volume is 0.2 m3 between sections (1)
and (2). The water flow rate is 0.4 m3/s and the inlet and outlet pressures are,
respectively, 150 kPa and 90 kPa. The elbow mass is 12 kg. Calculate the horizontal (x-
direction) and vertical (z-direction) anchoring forces required to hold the elbow in place.
Ans: Fx = 25.7 kN, ←; Fz = 89.2 kN, ↓.
Fig. 7-2
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