Question: As shown in the figure, water enters and leaves a U-shaped piece of pipe in the horizontal plane. The total absolute pressure at the flange number (1) is 200 kPa, and a mass flow of 40 kg/s is entering the pipe. On the flange number (2), the total pressure is 150 kPa and a mass flow rate of 30 kg/s is obtained from the pipe. The mass flow rate of 4 kg/s from the section (3) and 6 kg/s from the section (4) is thrown into the atmosphere at a pressure of 100 kPa. Working with relative pressures: Determine the total forces Rx and Ry at the twvo

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Question: As shown in the figure, water enters and leaves a U-shaped piece of pipe in the
horizontal plane. The total absolute pressure at the flange number (1) is 200 kPa, and a mass
flow of 40 kg/s is entering the pipe. On the flange number (2), the total pressure is 150 kPa
and a mass flow rate of 30 kg/s is obtained from the pipe. The mass flow rate of 4 kg/s from
the section (3) and 6 kg/s from the section (4) is thrown into the atmosphere at a pressure of
100 kPa. Working with relative pressures; Determine the total forces Rx and Ry at the two
flanges attached to the pipe.
Note:
(-Mass flow = Specific mass x Flow
-Flange is a construction element, generally produced as a standard, for the sealing of two
machine or installation elements.
-Sections (1) and (2) are close enough to each other.
-Kinetic energy correction factor is 1.035 and momentum flow correction coefficient is 1.025
for the fluid entering and leaving the control volume.
-Specific mass of water: pwater = 1000 kg/m3)
6 kg/s
0.05 m
0.02 m
30 kg/s
(1)
40 kg/s
0.10 m
0.03 m
4 kg/s
Transcribed Image Text:Question: As shown in the figure, water enters and leaves a U-shaped piece of pipe in the horizontal plane. The total absolute pressure at the flange number (1) is 200 kPa, and a mass flow of 40 kg/s is entering the pipe. On the flange number (2), the total pressure is 150 kPa and a mass flow rate of 30 kg/s is obtained from the pipe. The mass flow rate of 4 kg/s from the section (3) and 6 kg/s from the section (4) is thrown into the atmosphere at a pressure of 100 kPa. Working with relative pressures; Determine the total forces Rx and Ry at the two flanges attached to the pipe. Note: (-Mass flow = Specific mass x Flow -Flange is a construction element, generally produced as a standard, for the sealing of two machine or installation elements. -Sections (1) and (2) are close enough to each other. -Kinetic energy correction factor is 1.035 and momentum flow correction coefficient is 1.025 for the fluid entering and leaving the control volume. -Specific mass of water: pwater = 1000 kg/m3) 6 kg/s 0.05 m 0.02 m 30 kg/s (1) 40 kg/s 0.10 m 0.03 m 4 kg/s
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