791 cfs 197.75 cfs K = 1 K=4 K = 5 197.75 cfs 395.5 cfs K = 3 K = 2

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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If the flow into and out of a two-loop pipe system are as shown in Figure. Determine the flow in each pipe using Hardy-Cross method. Value of n is 2.

791 cfs
197.75 cfs
K = 1 K=4
K = 5
197.75 cfs
395.5 cfs
K = 3
K = 2
Transcribed Image Text:791 cfs 197.75 cfs K = 1 K=4 K = 5 197.75 cfs 395.5 cfs K = 3 K = 2
Expert Solution
Step 1

Given :-

Coefficient of friction(K) in each pipes

K1=1

K2=4

K3=3

K4=4

K5=2

K6=5

n= 2 i.e. the number of iteration =2

Civil Engineering homework question answer, step 1, image 1

 

Step 2

According to Hardy cross method, 

Civil Engineering homework question answer, step 2, image 1

Where, 

K= Coefficient of friction in pipe

Q= Rate of flow in pipe

KQ2= Frictional Force

 

Step 3

Let us assume the initial flow rates in the pipe as following:-

Civil Engineering homework question answer, step 3, image 1

a) First Iteration 

Let us consider Loop 1 i.e. ABCA first

(In clockwise direction flow will be positive and in anticlockwise direction flow will be negative)

Civil Engineering homework question answer, step 3, image 2

Now, consider Loop 2 i.e. BDECB 

(In clockwise direction flow will be positive and in anticlockwise direction flow will be negative)

Civil Engineering homework question answer, step 3, image 3

 

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