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An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.
(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm?
(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm?
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An embankment is proposed to construct on 10m thick clay deposit havin...
**Given data:**
- Thickness of clay deposit (h): 10 m
- Coefficient of volume compressibility (Cv): 2.7 x 10^-4 m/kN
- Increase in vertical stress (Δσ): 60 kN/m
**Calculation:**
1. Settlement of clay can be calculated using the formula:
Settlement (S) = Δσ * h / Cv
2. Substitute the given values into the formula:
S = 60 kN/m * 10 m / (2.7 x 10^-4 m/kN)
3. Convert kN/m to kPa by multiplying by 10:
S = 600 kPa * 10 m / (2.7 x 10^-4 m/kN)
4. Simplify the units:
S = 600 kPa * 10 m / 2.7 x 10^-4
5. Cancel out the units:
S = 600 * 10^3 Pa * 10 m / 2.7 x 10^-4
6. Simplify the expression by multiplying and dividing:
S = (600 * 10^3 * 10) / (2.7 x 10^-4)
7. Use the power of 10 to convert the equation:
S = (600 * 10^3 * 10) / (2.7 x 10^-4) = (600 * 10^3 * 10) / (2.7 * 10^-4)
8. Simplify the equation:
S = (600 * 10^3 * 10) / (2.7 * 10^-4) = 6 * 10^7 / (2.7 * 10^-4) = 6 * 10^7 * 10^4 / 2.7
9. Simplify the exponents:
S = 6 * 10^11 / 2.7 = 2.22 * 10^11
10. Convert the answer to mm:
S = 2.22 * 10^11 mm
**Answer:**
The settlement of clay due to the increase in vertical stress of 60 kN/m is approximately 2.22 * 10^11 mm.
- Thickness of clay deposit (h): 10 m
- Coefficient of volume compressibility (Cv): 2.7 x 10^-4 m/kN
- Increase in vertical stress (Δσ): 60 kN/m
**Calculation:**
1. Settlement of clay can be calculated using the formula:
Settlement (S) = Δσ * h / Cv
2. Substitute the given values into the formula:
S = 60 kN/m * 10 m / (2.7 x 10^-4 m/kN)
3. Convert kN/m to kPa by multiplying by 10:
S = 600 kPa * 10 m / (2.7 x 10^-4 m/kN)
4. Simplify the units:
S = 600 kPa * 10 m / 2.7 x 10^-4
5. Cancel out the units:
S = 600 * 10^3 Pa * 10 m / 2.7 x 10^-4
6. Simplify the expression by multiplying and dividing:
S = (600 * 10^3 * 10) / (2.7 x 10^-4)
7. Use the power of 10 to convert the equation:
S = (600 * 10^3 * 10) / (2.7 x 10^-4) = (600 * 10^3 * 10) / (2.7 * 10^-4)
8. Simplify the equation:
S = (600 * 10^3 * 10) / (2.7 * 10^-4) = 6 * 10^7 / (2.7 * 10^-4) = 6 * 10^7 * 10^4 / 2.7
9. Simplify the exponents:
S = 6 * 10^11 / 2.7 = 2.22 * 10^11
10. Convert the answer to mm:
S = 2.22 * 10^11 mm
**Answer:**
The settlement of clay due to the increase in vertical stress of 60 kN/m is approximately 2.22 * 10^11 mm.
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An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm?
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An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm? 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 An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm?.
An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm? 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 An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An embankment is proposed to construct on 10m thick clay deposit having the coefficient of volume compressibility as 2.7 x 10^-4m/kN. Determine the settlement of clay by the increase in vertical stress of 60 kN/m due to the construction of embankment.(A) 162 mm (B) 160 mm (C) 164 mm (D) 163 mm?.
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