2) In the figure below, discharge rate at point A is 20 cfs of water. Find the head loss from A to B, as well as the division of flow in each branch. Assume that friction factor is f = 0.03 for all pipes. Take these steps: 1. Ignore minor losses. Only assume friction losses. 2. Set an equation for the sum of the Qs of all branches, and simplify to only have velocities as unknowns 3. Set an equation for the head loss in each branch using D-W, and simplify to only have velocities as unknowns. Then, set the head loss in each branch equal to head loss in other branches. 4. Solve for velocities using the above equations in step 2 and 3. Note: this problem doesn't require iterations to find f (it is already given). 5. Find the total head loss from A to B using the velocities and D-W equation. The head loss from point A to point B does include hi in the two series pipes (24" and 30"), but regarding the parallel branches, carefully follow the lecture materials. Summing up the head losses in the 14", 12" and 16" pipes is not the right approach.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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2) In the figure below, discharge rate at point A is 20 cfs of water. Find the head loss from A to
B, as well as the division of flow in each branch. Assume that friction factor is f = 0.03 for all
pipes. Take these steps:
1. Ignore minor losses. Only assume friction losses.
2. Set an equation for the sum of the Qs of all branches, and simplify to only have
velocities as unknowns
3. Set an equation for the head loss in each branch using D-W, and simplify to only have
velocities as unknowns. Then, set the head loss in each branch equal to head loss in
other branches.
4. Solve for velocities using the above equations in step 2 and 3. Note: this problem
doesn't require iterations to find f (it is already given).
5. Find the total head loss from A to B using the velocities and D-W equation. The head
loss from point A to point B does include hı in the two series pipes (24" and 30"), but
regarding the parallel branches, carefully follow the lecture materials. Summing up the
head losses in the 14", 12" and 16" pipes is not the right approach.
Plan View:
L= 3000 ft, D = 14 in
А
-L = 2000 ft, D= 24 in
-L = 2000 ft, D = 12 im
L= 4000 ft, D= 30 in
L= 3000 ft, D = 16 in
B
Transcribed Image Text:2) In the figure below, discharge rate at point A is 20 cfs of water. Find the head loss from A to B, as well as the division of flow in each branch. Assume that friction factor is f = 0.03 for all pipes. Take these steps: 1. Ignore minor losses. Only assume friction losses. 2. Set an equation for the sum of the Qs of all branches, and simplify to only have velocities as unknowns 3. Set an equation for the head loss in each branch using D-W, and simplify to only have velocities as unknowns. Then, set the head loss in each branch equal to head loss in other branches. 4. Solve for velocities using the above equations in step 2 and 3. Note: this problem doesn't require iterations to find f (it is already given). 5. Find the total head loss from A to B using the velocities and D-W equation. The head loss from point A to point B does include hı in the two series pipes (24" and 30"), but regarding the parallel branches, carefully follow the lecture materials. Summing up the head losses in the 14", 12" and 16" pipes is not the right approach. Plan View: L= 3000 ft, D = 14 in А -L = 2000 ft, D= 24 in -L = 2000 ft, D = 12 im L= 4000 ft, D= 30 in L= 3000 ft, D = 16 in B
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