Three reservoirs A, B and C are connected as shown in Figure below. The water elevations in reservoirsA, B and C are 100 m, 80 m and 60 m respectively. The three pipes connecting the reservoirs meet at junction,J. Pipe AJ is 900 m long, BJ 800m long, CJ 700m long and the diameter of all pipes equal to 850 mm. If all| pipes are made of ductile iron. Find the flow rate in each pipe. Use fequal to 0.0235 for all pipes.E.L. - 100 mE.L80 mBLAJ 900 mE.L. - 60 m'BJ 800mCLIc- 700m

Considering Major loss:- H=FLv2d2g=FLθ2d2g*(π4*d2)2 H=rθ2 θ=HR where, r=8fLπ2gD2

Answered: Three reservoirs A, B and C are…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Two new cast-iron pipes in series connect two reservoirs (Figure 1). Both pipes are 300 m long and have diameters of 0.4 m and 0.6 m, respectively. The elevation of the water surface in reservoir A is 80 m and in reservoir B is 60 m. Reservoir A has a re-entrant tube and Reservoir B has a discharge tube that extends into the reservoir. There is also a fully open globe valve in the 0.6 m diameter pipe. Find the discharge of 10oC water from reservoir A to reservoir B. Use the rigorous Darcy-Weisbach method. [Hint: v (either v1 or v2, whichever you solve for first) is a function of 2 f’s]
Situation 3: Three pipes of different lengths and diameters connected in series as shown discharge 0.160 m'/s. Determine the difference in elevation between the two reservoirs. Neglect minor losses. H What will be the diameter of a single pipe that can replace all the three Pipe1 Pipe 2 Pipe 3 pipes? It shoud carry the same discharge and incur the same total head loss. Assume that the distance between reservoir is constant. L- 800 m D- 45 cm f- 0.012 L-1500 m L- 1800m D- 90 cm D- 60 cm 1-0.012 f-0.012
Three new cast-iron pipes connected in series have diameters of 30 cm, 25 cm, and 20 cm, each being 100 m long. The largest pipe leads from a reservoir and the smallest discharges into the air. Determine the total head loss when the discharge is 200 liters per second. What must be the elevation of the outlet end of the pipe with respect to the water surface elevation in the reservoir? n for Manning’s equation is 0.013 and the minor head loss due to contraction is 35% of the velocity head on the pipe after the change in cross in the direction of flow. Draw the approximate EGL and HGL.
Three reservoirs A, B, and C are connected respectively with pipes 1, 2, and 3 joining at a common junction P. Reservoir A is at elevation 80 m, reservoir B at elevation 70 m and reservoir C is at elevation 60 m. The properties of each pipe are as follows: L = 5000 m, D = 300 mm L=4000 m, D = 250 mm Pipe 1: Pipe 2: Pipe 3: L=3500 m The flow from reservoir A to junction P is 0.045 m³/s and f for all pipes is 0.018. 1. Find the elevation of the energy grade line at P in m. A. 75.512 B. 73.805 C. 72.021 D. 74.173 2. Determine the flow on pipe 2 in m³/s. A. 0.025 B. 0.031 C. 0.029 D. 0.036 3. Compute the diameter appropriate for pipe 3 in mm. A. 175 B. 170 C. 178 D. 172
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2. Three reservoirs A, B, and C are connected respectively with pipes 1, 2, and 3 joining at a common junction P. Reservoir A is at elevation 80 m, reservoir B at elevation 70 m and reservoir C is at elevation 60 m. The properties of each pipe are as follows: Pipe 1: L = 5000 m, D = 300 mm Pipe 2: L = 4000 m, D = 250 mm Pipe 3: L = 3500 m %3D The flow from reservoir A to junction P is 0.045 m3/s and f for all pipes is 0.018. (a) Find the elevation of the energy grade line at P in m (b) Determine the flow on pipe 2 in m3/s (c) Compute the diameter appropriate for pipe 3 in mm
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3.18. Water is pumped from a supply reservoir to a ductile iron water transmission line, as shown in Figure 3.26. The high point of the transmission line is at point A, 1 km downstream of the supply reservoir, and the low point of the transmis- sion line is at point B, 1 km downstream of A. If the flowrate through the pipeline is 1 m³/s, the diameter of the pipe is 750 mm, and the pressure at A is to be 350 kPa, then: (a) esti- mate the head that must be added by the pump; (b) estimate the power supplied by the pump; and (c) calculate the water pressure at B. Supply P reservoir Elev. 7 m Pump A Elev. 10 m Elev. 4 m Transmission line B

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