For the Pipe T shown, determine the discharge from pipe 2.5 ft/s16"33"7 ft/s6"2?

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Answered: For the Pipe T shown, determine the…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

For the Pipe T shown, determine the discharge from pipe 2.
5 ft/s
1
6"
3
3"
7 ft/s
6"
2
?

Expert Solution

Step 1: Determining velocity of flow in pipe 2

$V e l o c i t y space i n space p i p e space 1 comma space V subscript 1 equals 5 space f t divided by s V e l o c i t y space i n space p i p e space 3 comma space V subscript 3 equals 7 space f t divided by s D i a m e t e r space o f space p i p e space 1 comma space D subscript 1 equals 6 " equals 0.5 space f t D i a m e t e r space o f space p i p e space 2 comma space D subscript 2 equals 6 " equals 0.5 space f t D i a m e t e r space o f space p i p e space 3 comma space D subscript 3 equals 3 " equals 0.25 space f t Q subscript 1 equals Q subscript 2 plus Q subscript 3 A subscript 1 V subscript 1 equals A subscript 2 V subscript 2 plus A subscript 3 V subscript 3 straight pi over 4 D subscript 1 superscript 2 cross times V subscript 1 equals straight pi over 4 D subscript 2 superscript 2 cross times V subscript 2 plus straight pi over 4 D subscript 3 superscript 2 cross times V subscript 3 straight pi over 4 cross times 0.5 squared cross times 5 equals straight pi over 4 cross times 0.5 squared cross times V subscript 2 plus straight pi over 4 cross times 0.25 squared cross times 7 V subscript 2 equals 3.25 space f t divided by s$

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