As shown in the figure, water enters and exits a U-shaped piece of pipe located in the horizontal plane. (1) the total absolute pressure in flange number is 200 kPa and there is a mass flow rate input of 40 kg/sec into the pipe. In flange (2), the total pressure is 150 kPa and there is a mass flow rate output of 30 kg/sec from the pipe. 4 kg/sec from section (3) and 6 kg/s from section (4) are discharged into the atmosphere at a pressure of 100 kPa. By working with relative pressures; Determine the total Rx and Ry forces on the two flanges connected to the pipe. (Answer: Rx = 1545,7 N (←) and Ry = 91,96 N (↑)) Note: -Mass flow rate = Specific mass x Flow rate. -Specific mass of water : ?w=1000 ??/?3 -A flange is a construction element that is usually produced as a standard for the sealed joining of two machine or installation elements. -The sections (1) and (2) are close enough to each other. -The momentum flow correction coefficient for the fluid entering and exiting the control volume is 1.025.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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As shown in the figure, water enters and exits a U-shaped piece of pipe located in the horizontal plane. (1) the total absolute pressure in flange number is 200 kPa and there is a mass flow rate input of 40 kg/sec into the pipe. In flange (2), the total pressure is 150 kPa and there is a mass flow rate output of 30 kg/sec from the pipe. 4 kg/sec from section (3) and 6 kg/s from section (4) are discharged into the atmosphere at a pressure of 100 kPa. By working with relative pressures; Determine the total Rx and Ry forces on the two flanges connected to the pipe. (Answer: Rx = 1545,7 N (←) and Ry = 91,96 N (↑))
Note:
-Mass flow rate = Specific mass x Flow rate.

-Specific mass of water : ?w=1000 ??/?3
-A flange is a construction element that is usually produced as a standard for the sealed joining of two machine or installation elements.
-The sections (1) and (2) are close enough to each other.
-The momentum flow correction coefficient for the fluid entering and exiting the control volume is 1.025.

 

30 kg/s
1x
X
40 kg/s
0.05 m
0.10 m
(2)
(1)
(3)
4 kg/s
6 kg/s
0.02 m
0.03 m
Transcribed Image Text:30 kg/s 1x X 40 kg/s 0.05 m 0.10 m (2) (1) (3) 4 kg/s 6 kg/s 0.02 m 0.03 m
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