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A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kN m-1) and its acting point from the top (in m) are
- a)27.75 and 1
- b)249.75 and 1
- c)27.75 and 2
- d)249.75 and 2
Correct answer is option 'C'. Can you explain this answer?
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A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m...
The angle of shearing resistance (ϕ) is a property of the soil that represents its resistance to shearing along a failure plane. It is typically measured in degrees.
To calculate the angle of shearing resistance, we can use the formula:
tan(ϕ) = (H * γ) / (0.5 * γ * H^2)
Where:
- H is the height of the retaining wall (3 m)
- γ is the unit weight of the soil (18.5 kN/m3)
Plugging in the values, we get:
tan(ϕ) = (3 * 18.5) / (0.5 * 18.5 * 3^2)
= 55.5 / 27.75
≈ 2
Taking the inverse tangent of both sides, we find:
ϕ ≈ tan^(-1)(2)
≈ 63.4 degrees
Therefore, the angle of shearing resistance of the sandy soil is approximately 63.4 degrees.
To calculate the angle of shearing resistance, we can use the formula:
tan(ϕ) = (H * γ) / (0.5 * γ * H^2)
Where:
- H is the height of the retaining wall (3 m)
- γ is the unit weight of the soil (18.5 kN/m3)
Plugging in the values, we get:
tan(ϕ) = (3 * 18.5) / (0.5 * 18.5 * 3^2)
= 55.5 / 27.75
≈ 2
Taking the inverse tangent of both sides, we find:
ϕ ≈ tan^(-1)(2)
≈ 63.4 degrees
Therefore, the angle of shearing resistance of the sandy soil is approximately 63.4 degrees.
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A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer?
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A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer?.
A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 3 m high retaining wall supports sandy soil of unit weight 18.5 kN m-3. The angle of shearing resistance (Φ) is 30º and the surface of soil is horizontal. The magnitude of the active thrust (in kNm-1) and its acting point from the top (in m) area)27.75 and 1b)249.75 and 1c)27.75 and 2d)249.75 and 2Correct answer is option 'C'. Can you explain this answer?.
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