A pipe network is shown below. For the determination of the magnitude and direction of flow in each pipe, using both the loop equation method and the node equation method, list the unknowns and the set of simultaneous equations for the solution of these unknowns. In using each method, explain if the number of unknowns equals the number of independent equations.
A pipe network is shown below. For the determination of the magnitude and direction of flow in each pipe, using both the loop equation method and the node equation method, list the unknowns and the set of simultaneous equations for the solution of these unknowns. In using each method, explain if the number of unknowns equals the number of independent equations.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A pipe network is shown below.
For the determination of the magnitude and direction of flow in each pipe, using both the loop equation
method and the node equation method, list the unknowns and the set of simultaneous equations for the
solution of these unknowns. In using each method, explain if the number of unknowns equals the
number of independent equations.
![A pipe network is shown below.
3.5 cfs
3200 ft, 10 in ø
A
7500 ft, 12 in ø
2400 ft,
8 in ø
2400 ft,
8 in ø
C
E
3200 ft, 8 in ø
4500 ft, 10 in ø
1.5 cfs
2.0 cfs
For the determination of the magnitude and direction of flow in each pipe, using both the loop equation
method and the node equation method, list the unknowns and the set of simultaneous equations for the
solution of these unknowns. In using each method, explain if the number of unknowns equals the
number of independent equations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b2b0faa-a69c-49ec-bdc4-17b77f040ccd%2F73c946f0-6233-403a-a376-9943b5216f27%2Fa1kmxds_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A pipe network is shown below.
3.5 cfs
3200 ft, 10 in ø
A
7500 ft, 12 in ø
2400 ft,
8 in ø
2400 ft,
8 in ø
C
E
3200 ft, 8 in ø
4500 ft, 10 in ø
1.5 cfs
2.0 cfs
For the determination of the magnitude and direction of flow in each pipe, using both the loop equation
method and the node equation method, list the unknowns and the set of simultaneous equations for the
solution of these unknowns. In using each method, explain if the number of unknowns equals the
number of independent equations.
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