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The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.
- a)2.35 N/m2 and soil grains will be stationary
- b)2.35 N/m2 and soil grains is in motion
- c)0.235 N/m2 and soil grains will be stationary
- d)0.235 N/m2 and soil grains is in motion
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The water flows at a depth of 0.6 m in a wide stream having a bed slop...
Given:
- Depth of water (h) = 0.6 m
- Bed slope (S) = 1 in 2500
- Critical tractive stress (τc) = 0.53 N/m^2
To find:
- Motion of soil grains
- Average shear stress
Explanation:
The motion of soil grains in a stream depends on the balance between the tractive force exerted by the flowing water and the resisting force provided by the soil. If the tractive force exceeds the resisting force, the soil grains will be in motion. Otherwise, the soil grains will be stationary.
1. Calculate the tractive force:
The tractive force (F) can be calculated using the following formula:
F = γ * h * S
Where:
- γ is the unit weight of water
- h is the depth of water
- S is the bed slope
Since the unit weight of water (γ) is 9810 N/m^3 and the bed slope (S) is given as a ratio, we can calculate the tractive force:
F = 9810 * 0.6 * (1/2500)
F ≈ 2.35 N/m^2
2. Compare the tractive force with the critical tractive stress:
If the tractive force (F) is greater than the critical tractive stress (τc), the soil grains will be in motion. Otherwise, the soil grains will be stationary.
In this case, since the tractive force (2.35 N/m^2) is greater than the critical tractive stress (0.53 N/m^2), the soil grains will be in motion.
3. Calculate the average shear stress:
The average shear stress (τ) can be calculated using the following formula:
τ = τc * (F/τc)^(3/2)
Substituting the given values:
τ = 0.53 * (2.35/0.53)^(3/2)
τ ≈ 2.35 N/m^2
Therefore, the motion of soil grains is in motion and the average shear stress is approximately 2.35 N/m^2. Thus, the correct answer is option B.
- Depth of water (h) = 0.6 m
- Bed slope (S) = 1 in 2500
- Critical tractive stress (τc) = 0.53 N/m^2
To find:
- Motion of soil grains
- Average shear stress
Explanation:
The motion of soil grains in a stream depends on the balance between the tractive force exerted by the flowing water and the resisting force provided by the soil. If the tractive force exceeds the resisting force, the soil grains will be in motion. Otherwise, the soil grains will be stationary.
1. Calculate the tractive force:
The tractive force (F) can be calculated using the following formula:
F = γ * h * S
Where:
- γ is the unit weight of water
- h is the depth of water
- S is the bed slope
Since the unit weight of water (γ) is 9810 N/m^3 and the bed slope (S) is given as a ratio, we can calculate the tractive force:
F = 9810 * 0.6 * (1/2500)
F ≈ 2.35 N/m^2
2. Compare the tractive force with the critical tractive stress:
If the tractive force (F) is greater than the critical tractive stress (τc), the soil grains will be in motion. Otherwise, the soil grains will be stationary.
In this case, since the tractive force (2.35 N/m^2) is greater than the critical tractive stress (0.53 N/m^2), the soil grains will be in motion.
3. Calculate the average shear stress:
The average shear stress (τ) can be calculated using the following formula:
τ = τc * (F/τc)^(3/2)
Substituting the given values:
τ = 0.53 * (2.35/0.53)^(3/2)
τ ≈ 2.35 N/m^2
Therefore, the motion of soil grains is in motion and the average shear stress is approximately 2.35 N/m^2. Thus, the correct answer is option B.
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Community Answer
The water flows at a depth of 0.6 m in a wide stream having a bed slop...
The average shear stress = Yw. R. S
= 9.81 x 1000 x 0.6 x 1/2500 = 2.35 N/m2.
This value is more than 0.53 N/m2, the soil grains will not be stationary and sediment transport and scouring will occur.
= 9.81 x 1000 x 0.6 x 1/2500 = 2.35 N/m2.
This value is more than 0.53 N/m2, the soil grains will not be stationary and sediment transport and scouring will occur.
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The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect answer is option 'B'. Can you explain this answer?
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The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect 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 The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect 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 The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect answer is option 'B'. Can you explain this answer?.
The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect 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 The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect 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 The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice The water flows at a depth of 0.6 m in a wide stream having a bed slope of 1 in 2500. The critical tractive stress is 0.53 N/m2. Determine the motion of soil grains and the average shear stress.a)2.35 N/m2 and soil grains will be stationaryb)2.35 N/m2 and soil grains is in motionc)0.235 N/m2 and soil grains will be stationaryd)0.235 N/m2 and soil grains is in motionCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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