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If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3?
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If the value of the coefficient of earth pressure at rest (k0) Is foun...
Calculation of Ratio of Coefficient of Passive Earth Pressure to Active Earth Pressure when k0 = 0.5
Explanation:
Coefficient of Active Earth Pressure (Ka) is given by
Ka = (1 - sinϕ)/(1 + sinϕ)
Coefficient of Passive Earth Pressure (Kp) is given by
Kp = (1 + sinϕ)/(1 - sinϕ)
Where ϕ is the angle of internal friction of the soil.
Given, k0 = 0.5
Coefficient of Earth Pressure at Rest (k0) is given by
k0 = sinϕ
From the given data, we can calculate the value of ϕ as follows:
ϕ = sin-1(k0) = sin-1(0.5) = 30°
Now, we can calculate the values of Ka and Kp as follows:
Ka = (1 - sinϕ)/(1 + sinϕ) = (1 - sin30°)/(1 + sin30°) = 2/3
Kp = (1 + sinϕ)/(1 - sinϕ) = (1 + sin30°)/(1 - sin30°) = 3
Therefore, the ratio of coefficient of passive earth pressure to active earth pressure is:
Kp/Ka = 3/(2/3) = 9
Hence, the correct option is 2) 9.
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Explanation:
Coefficient of Active Earth Pressure (Ka) is given by
Ka = (1 - sinϕ)/(1 + sinϕ)
Coefficient of Passive Earth Pressure (Kp) is given by
Kp = (1 + sinϕ)/(1 - sinϕ)
Where ϕ is the angle of internal friction of the soil.
Given, k0 = 0.5
Coefficient of Earth Pressure at Rest (k0) is given by
k0 = sinϕ
From the given data, we can calculate the value of ϕ as follows:
ϕ = sin-1(k0) = sin-1(0.5) = 30°
Now, we can calculate the values of Ka and Kp as follows:
Ka = (1 - sinϕ)/(1 + sinϕ) = (1 - sin30°)/(1 + sin30°) = 2/3
Kp = (1 + sinϕ)/(1 - sinϕ) = (1 + sin30°)/(1 - sin30°) = 3
Therefore, the ratio of coefficient of passive earth pressure to active earth pressure is:
Kp/Ka = 3/(2/3) = 9
Hence, the correct option is 2) 9.
Note: HTML tags cannot be used in plain text responses.
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If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3?.
If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the value of the coefficient of earth pressure at rest (k0) Is found to be 0.5 , then what will be ratio of coefficient of passive earth pressure to active earth pressure ? 1) 1/9 2) 9 3) 3 4) 1/3?.
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