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On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m?
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Calculation of Slope for Critical Flow in a Rectangular Channel
To determine the slope of a rectangular channel that will result in critical flow at a normal depth of 1.2 m, the following steps can be taken:
Step 1: Identify the necessary information
In this problem, the following information is given:
- Width of the rectangular channel (B) = 3 m
- Manning's roughness coefficient (n) = 0.014
- Normal depth (y) = 1.2 m
Step 2: Calculate the hydraulic radius (R)
The hydraulic radius of a rectangular channel can be calculated using the following formula:
R = (B x y) / (2 x y)
Substituting the given values, we get:
R = (3 x 1.2) / (2 x 1.2) = 1.5 m
Step 3: Calculate the critical depth (yc)
The critical depth of flow in a rectangular channel can be calculated using the following formula:
yc = B / (2.8 x (n)^0.5)
Substituting the given values, we get:
yc = 3 / (2.8 x (0.014)^0.5) = 1.52 m
Step 4: Determine the slope (S)
The slope of the rectangular channel can be calculated using the following formula:
S = (yc - y) / L
where L is the length of the channel.
Since the length of the channel is not given, we can assume a value of 100 m.
Substituting the given and assumed values, we get:
S = (1.52 - 1.2) / 100 = 0.0032 or 0.32%
Therefore, the slope of the rectangular channel that will result in critical flow at a normal depth of 1.2 m is 0.32%.
To determine the slope of a rectangular channel that will result in critical flow at a normal depth of 1.2 m, the following steps can be taken:
Step 1: Identify the necessary information
In this problem, the following information is given:
- Width of the rectangular channel (B) = 3 m
- Manning's roughness coefficient (n) = 0.014
- Normal depth (y) = 1.2 m
Step 2: Calculate the hydraulic radius (R)
The hydraulic radius of a rectangular channel can be calculated using the following formula:
R = (B x y) / (2 x y)
Substituting the given values, we get:
R = (3 x 1.2) / (2 x 1.2) = 1.5 m
Step 3: Calculate the critical depth (yc)
The critical depth of flow in a rectangular channel can be calculated using the following formula:
yc = B / (2.8 x (n)^0.5)
Substituting the given values, we get:
yc = 3 / (2.8 x (0.014)^0.5) = 1.52 m
Step 4: Determine the slope (S)
The slope of the rectangular channel can be calculated using the following formula:
S = (yc - y) / L
where L is the length of the channel.
Since the length of the channel is not given, we can assume a value of 100 m.
Substituting the given and assumed values, we get:
S = (1.52 - 1.2) / 100 = 0.0032 or 0.32%
Therefore, the slope of the rectangular channel that will result in critical flow at a normal depth of 1.2 m is 0.32%.
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On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m?
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On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m?.
On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On what slope a 3 m wide rectangular channel (n= 0.014) should be constructed so that critical flow will occur at a normal depth of 1.2 m?.
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