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A normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would be
- a)50 mm
- b)25 mm
- c)75 mm
- d)100 mm
Correct answer is option 'B'. Can you explain this answer?
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A normally consolidated clay layer settles by 25 mm when the effective...
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A normally consolidated clay layer settles by 25 mm when the effective...
Given data:
Settlement when effective stress increased from 15 to 30 kPa = 25 mm
Effective stress increased from 30 to 60 kPa
To find:
Additional settlement when effective stress increased from 30 to 60 kPa
Solution:
As per the given data,
∆σ = 30 - 15 = 15 kPa
∆H = 25 mm
Using the formula for settlement of a normally consolidated clay layer:
∆H = (C_c * ∆σ * log(1+ (σ_o' /σ_1')))/ (1+e_0')
where,
C_c = compression index
σ_o' = initial effective stress
σ_1' = final effective stress
e_0' = initial void ratio
Let's assume that the initial void ratio is constant and equal to e_0. Thus, the above equation can be simplified as:
∆H = C_c * ∆σ * log(σ_1'/σ_o')
Now, to find the additional settlement when effective stress is increased from 30 to 60 kPa:
∆σ = 60 - 30 = 30 kPa
∆H = C_c * ∆σ * log(σ_1'/σ_o')
25 = C_c * 15 * log(30/15)
C_c = 0.462
Thus, the additional settlement when effective stress is increased from 30 to 60 kPa:
∆σ = 60 - 30 = 30 kPa
∆H = C_c * ∆σ * log(σ_1'/σ_o')
∆H = 0.462 * 30 * log(60/30)
∆H = 25 mm
Therefore, the additional settlement when effective stress is increased from 30 to 60 kPa is 25 mm.
Settlement when effective stress increased from 15 to 30 kPa = 25 mm
Effective stress increased from 30 to 60 kPa
To find:
Additional settlement when effective stress increased from 30 to 60 kPa
Solution:
As per the given data,
∆σ = 30 - 15 = 15 kPa
∆H = 25 mm
Using the formula for settlement of a normally consolidated clay layer:
∆H = (C_c * ∆σ * log(1+ (σ_o' /σ_1')))/ (1+e_0')
where,
C_c = compression index
σ_o' = initial effective stress
σ_1' = final effective stress
e_0' = initial void ratio
Let's assume that the initial void ratio is constant and equal to e_0. Thus, the above equation can be simplified as:
∆H = C_c * ∆σ * log(σ_1'/σ_o')
Now, to find the additional settlement when effective stress is increased from 30 to 60 kPa:
∆σ = 60 - 30 = 30 kPa
∆H = C_c * ∆σ * log(σ_1'/σ_o')
25 = C_c * 15 * log(30/15)
C_c = 0.462
Thus, the additional settlement when effective stress is increased from 30 to 60 kPa:
∆σ = 60 - 30 = 30 kPa
∆H = C_c * ∆σ * log(σ_1'/σ_o')
∆H = 0.462 * 30 * log(60/30)
∆H = 25 mm
Therefore, the additional settlement when effective stress is increased from 30 to 60 kPa is 25 mm.
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A normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. Can you explain this answer?
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A normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. 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 normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. 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 normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. Can you explain this answer?.
A normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. 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 normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. 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 normally consolidated clay layer settles by 25 mm when the effective stress is increased from 15 to 30 kPa. If the effective stress is later increased further from 30 kPa to 60 kPa, then the additional settlement would bea)50 mmb)25 mmc)75 mmd)100 mmCorrect answer is option 'B'. Can you explain this answer?.
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