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A granular soil has a saturated unit weight of 20 kN/m3 and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.
Correct answer is between '10.8,11.3'. Can you explain this answer?
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Verified Answer
A granular soil has a saturated unit weight of 20 kN/m3and an effectiv...
FOS = 1.5
If there is seepage parallel to the slope
β = 11.095°
Most Upvoted Answer
A granular soil has a saturated unit weight of 20 kN/m3and an effectiv...
Given Data:
Saturated unit weight of soil (γ_sat) = 20 kN/m3
Effective angle of shearing resistance (φ) = 30°
Unit weight of water (γ_w) = 9.81 kN/m3
Factor of safety (FS) = 1.5
Calculations:
1. Calculate the submerged unit weight of soil:
γ_sub = γ_sat - γ_w
γ_sub = 20 - 9.81
γ_sub = 10.19 kN/m3
2. Calculate the critical height of seepage (Hc):
Hc = (γ_sub / γ_w) * H
Hc = (10.19 / 9.81) * H
Hc = 1.039 * H
3. Calculate the critical slope angle (θ_c):
θ_c = tan^(-1)(γ_sub / γ_sat)
θ_c = tan^(-1)(10.19 / 20)
θ_c = tan^(-1)(0.5095)
θ_c = 26.5°
4. Calculate the safe slope angle (θ_s) using the factor of safety:
θ_s = θ_c / FS
θ_s = 26.5 / 1.5
θ_s ≈ 17.7°
Final Answer:
Therefore, the safe slope angle for a factor of safety of 1.5 is approximately 17.7°. Since the correct answer is between 10.8° and 11.3°, there might have been a calculation error or a different approach used in the solution provided.
Saturated unit weight of soil (γ_sat) = 20 kN/m3
Effective angle of shearing resistance (φ) = 30°
Unit weight of water (γ_w) = 9.81 kN/m3
Factor of safety (FS) = 1.5
Calculations:
1. Calculate the submerged unit weight of soil:
γ_sub = γ_sat - γ_w
γ_sub = 20 - 9.81
γ_sub = 10.19 kN/m3
2. Calculate the critical height of seepage (Hc):
Hc = (γ_sub / γ_w) * H
Hc = (10.19 / 9.81) * H
Hc = 1.039 * H
3. Calculate the critical slope angle (θ_c):
θ_c = tan^(-1)(γ_sub / γ_sat)
θ_c = tan^(-1)(10.19 / 20)
θ_c = tan^(-1)(0.5095)
θ_c = 26.5°
4. Calculate the safe slope angle (θ_s) using the factor of safety:
θ_s = θ_c / FS
θ_s = 26.5 / 1.5
θ_s ≈ 17.7°
Final Answer:
Therefore, the safe slope angle for a factor of safety of 1.5 is approximately 17.7°. Since the correct answer is between 10.8° and 11.3°, there might have been a calculation error or a different approach used in the solution provided.
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A granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. Can you explain this answer?
Question Description
A granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. 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 granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. 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 granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. Can you explain this answer?.
A granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. 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 granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. 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 granular soil has a saturated unit weight of 20 kN/m3and an effective angle of shearing resistance of 30°. The unit weight of water is 9.81 kN/m3. A slope is to be made on this soil deposit in which the seepage occurs parallel to the slope up to the free surface. Under this seepage condition for a factor of safety of 1.5, the safe slope angle (in degree, round off to 1 decimal place) would be ______.Correct answer is between '10.8,11.3'. Can you explain this answer?.
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