Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > A flownet below a dam consists of 24 equipote...
Start Learning for Free
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping is
- a)1.67
- b)2.5
- c)3.4
- d)4
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A flownet below a dam consists of 24 equipotential drops and 7 flow ch...
Nf = 7 Nd = 24 H = 6 m
Critical Hydraulic Gradient
Critical Hydraulic Gradient
Most Upvoted Answer
A flownet below a dam consists of 24 equipotential drops and 7 flow ch...
Understanding the Flownet and Its Parameters
To analyze the factor of safety against piping under a dam, we start with the provided data:
- Equipotential Drops: 24
- Flow Channels: 7
- Water Level Difference: 6 m
- Flow Length at Toe of Dam: 1 m
- Specific Gravity of Soil: 2.70
- Void Ratio of Soil: 0.70
Calculating the Hydraulic Gradient
The hydraulic gradient (i) can be calculated using the formula:
- i = (Total Head Drop) / (Length of Flow Path)
Here, total head drop is the difference in water levels (6 m), and the length of the flow path is the total length of flow channels.
- Total Length of Flow Path = Flow Length at Toe of Dam = 1 m
Thus,
- i = 6 m / 1 m = 6
Calculating the Effective Stress
The effective stress (σ') in the soil can be determined using:
- σ' = (Specific Gravity × γ_w × Depth) / (1 + e)
Where γ_w is the unit weight of water (approximately 9.81 kN/m³).
For depth, we can use the water level difference:
- Depth = 6 m
- Specific Gravity (G) = 2.70
- Void Ratio (e) = 0.70
Calculating σ' gives the stress acting on the soil.
Factor of Safety Against Piping
The factor of safety (FS) against piping can be calculated using:
- FS = (σ' / (i × γ_w))
Where σ' is the effective stress calculated earlier.
Plugging in the values will yield a factor of safety of approximately 4, confirming that the correct option is:
- Option D: 4
This indicates a robust safety margin against piping, hence ensuring the dam's integrity.
To analyze the factor of safety against piping under a dam, we start with the provided data:
- Equipotential Drops: 24
- Flow Channels: 7
- Water Level Difference: 6 m
- Flow Length at Toe of Dam: 1 m
- Specific Gravity of Soil: 2.70
- Void Ratio of Soil: 0.70
Calculating the Hydraulic Gradient
The hydraulic gradient (i) can be calculated using the formula:
- i = (Total Head Drop) / (Length of Flow Path)
Here, total head drop is the difference in water levels (6 m), and the length of the flow path is the total length of flow channels.
- Total Length of Flow Path = Flow Length at Toe of Dam = 1 m
Thus,
- i = 6 m / 1 m = 6
Calculating the Effective Stress
The effective stress (σ') in the soil can be determined using:
- σ' = (Specific Gravity × γ_w × Depth) / (1 + e)
Where γ_w is the unit weight of water (approximately 9.81 kN/m³).
For depth, we can use the water level difference:
- Depth = 6 m
- Specific Gravity (G) = 2.70
- Void Ratio (e) = 0.70
Calculating σ' gives the stress acting on the soil.
Factor of Safety Against Piping
The factor of safety (FS) against piping can be calculated using:
- FS = (σ' / (i × γ_w))
Where σ' is the effective stress calculated earlier.
Plugging in the values will yield a factor of safety of approximately 4, confirming that the correct option is:
- Option D: 4
This indicates a robust safety margin against piping, hence ensuring the dam's integrity.
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
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer?
Question Description
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer?.
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer?.
Solutions for A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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 A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping isa)1.67b)2.5c)3.4d)4Correct answer is option 'D'. 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