Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Water flows in a triangular channel of side ...
Start Learning for Free
Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.
- a)Steep
- b)Mild
- c)Critical
- d)Cannot be determine
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Water flows in a triangular channel of side slope 1 horizontal : 1 ve...
Given data For a depth of flow of y in the channel
View all questions of this test
Area = y2
T = 2y
yn = 0.536 m
Since yn > yc the channel is a mild slope channel for this discharge.
Most Upvoted Answer
Water flows in a triangular channel of side slope 1 horizontal : 1 ve...
Given data:
Discharge, Q = 0.2 m³/s
Side slope, z = 1 horizontal : 1 vertical
Longitudinal slope, S = 0.001
Manning's n = 0.015
To determine the type of channel slope, we need to calculate the hydraulic radius of the channel and then use it to calculate the critical slope.
1. Hydraulic radius (R):
The hydraulic radius is given by the formula:
R = A/P
where,
A = cross-sectional area of flow
P = wetted perimeter
For a triangular channel, the cross-sectional area and wetted perimeter can be calculated as follows:
A = (z/2)*y^2
P = z*y + 2*(y^2 + z^2)^0.5
where,
y = depth of flow
Substituting the given values, we get:
A = (1/2)*y^2
P = y + 2*(y^2 + 1)^0.5
Therefore, the hydraulic radius is given by:
R = A/P = (1/2)*y^2 / [y + 2*(y^2 + 1)^0.5]
2. Critical slope (Sc):
The critical slope is given by the formula:
Sc = (1/n)*[(Q/R)^2]^(1/3)
Substituting the given values, we get:
Sc = (1/0.015)*[(0.2/R)^2]^(1/3)
3. Type of channel slope:
If the longitudinal slope of the channel is greater than the critical slope, then the channel is said to be steep. If the longitudinal slope is less than the critical slope, then the channel is said to be mild. If the longitudinal slope is equal to the critical slope, then the channel is said to be critical.
Comparing the longitudinal slope and critical slope values, we get:
S < />
=> 0.001 < />
Simplifying, we get:
R < 1.376="" />
From the hydraulic radius formula, we know that the hydraulic radius is directly proportional to the depth of flow (y). Therefore, for a given discharge, a smaller hydraulic radius corresponds to a deeper flow. Since the maximum depth of flow cannot exceed the height of the channel (which is 1 in this case), it follows that the hydraulic radius cannot be less than 1. Therefore, we have:
R >= 1 m
Combining the above two inequalities, we get:
1 m <= r="">< 1.376="" />
This indicates that the channel slope is mild. Therefore, the correct option is (B) Mild.
Discharge, Q = 0.2 m³/s
Side slope, z = 1 horizontal : 1 vertical
Longitudinal slope, S = 0.001
Manning's n = 0.015
To determine the type of channel slope, we need to calculate the hydraulic radius of the channel and then use it to calculate the critical slope.
1. Hydraulic radius (R):
The hydraulic radius is given by the formula:
R = A/P
where,
A = cross-sectional area of flow
P = wetted perimeter
For a triangular channel, the cross-sectional area and wetted perimeter can be calculated as follows:
A = (z/2)*y^2
P = z*y + 2*(y^2 + z^2)^0.5
where,
y = depth of flow
Substituting the given values, we get:
A = (1/2)*y^2
P = y + 2*(y^2 + 1)^0.5
Therefore, the hydraulic radius is given by:
R = A/P = (1/2)*y^2 / [y + 2*(y^2 + 1)^0.5]
2. Critical slope (Sc):
The critical slope is given by the formula:
Sc = (1/n)*[(Q/R)^2]^(1/3)
Substituting the given values, we get:
Sc = (1/0.015)*[(0.2/R)^2]^(1/3)
3. Type of channel slope:
If the longitudinal slope of the channel is greater than the critical slope, then the channel is said to be steep. If the longitudinal slope is less than the critical slope, then the channel is said to be mild. If the longitudinal slope is equal to the critical slope, then the channel is said to be critical.
Comparing the longitudinal slope and critical slope values, we get:
S < />
=> 0.001 < />
Simplifying, we get:
R < 1.376="" />
From the hydraulic radius formula, we know that the hydraulic radius is directly proportional to the depth of flow (y). Therefore, for a given discharge, a smaller hydraulic radius corresponds to a deeper flow. Since the maximum depth of flow cannot exceed the height of the channel (which is 1 in this case), it follows that the hydraulic radius cannot be less than 1. Therefore, we have:
R >= 1 m
Combining the above two inequalities, we get:
1 m <= r="">< 1.376="" />
This indicates that the channel slope is mild. Therefore, the correct option is (B) Mild.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer?
Question Description
Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? 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 Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer?.
Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? 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 Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Water flows in a triangular channel of side slope 1 horizontal : 1 vertical and longitudinal slope of 0.001. Determine the type of channel slope when a discharge of 0.2 m3 /s flows through it. Assume Manning’s n = 0.015.a) Steepb) Mildc) Criticald) Cannot be determineCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup