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A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2 to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2 to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?
Take initial coefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2 to 0.60 kgf/cm2 to be 12 m2/year.
- a)4.5 m2/year (decrease)
- b)3.22 m2/year (increase)
- c)12 m2/year (increase)
- d)3.22 m2/year (decrease)
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A clayey soil sample in a consolidometer test showed decrease in void ...
Coefficient of compressibility (av)=
Δe = change in void ratio
increase in effective stressCoefficient of volume compressibity
e0 = initial void ratio
Also,
k = cvmvγw
k = permeability of soil Sample
cv = coefficient of consolidation
mv = coefficient of volume compressibility
Calculation:
Δe1 = 1.15 – 1.05
Δe1 = 0.10
Δσ1 = 0.60 – 0.30
Δσ1 = 0.30 kgf/cm2
= 3.80×10−3cm2/sec k = 3.80 × 10–3 × 0.155 × γw
Now,
Δe2 = 1.10 × 0.10 = 0.11
Δσ2 = 0.80 – 0.30
Δσ2 = 0.50
As permeability of both the sample is Sames,
So,
3.80×10−3×0.155=cv2×0.122
cv2=4.83×10−3cm2/sec
cv2=15.22m2/ year
Change in coefficient of consolidation:
Δcv=cv2−cv1
Δcv = 15.22 – 12
Δcv = 3.22 m2/year
Most Upvoted Answer
A clayey soil sample in a consolidometer test showed decrease in void ...
Given data:
Initial void ratio (e1) = 1.15
Final void ratio (e2) at pressure P1 = 0.30 kgf/cm2= 1.15 – 1.05 = 0.10
Final void ratio (e3) at pressure P2 = 0.60 kgf/cm2= 1.15 – 0.10 = 1.05
Final void ratio (e4) at pressure P3 = 0.80 kgf/cm2= e3 – (10/100) e3 = 1.05 – 0.105 = 0.945
Coefficient of consolidation (Cv) at pressure P1 to P2 = 12 m2/year
Calculation:
Change in void ratio between pressure P2 and P3 = e3 – e4 = 1.05 – 0.945 = 0.105
Time required for change in void ratio from e3 to e4 can be calculated as follows:
tv = (h2^2 – h1^2) / [2.303 L Cv (e3 – e4)]
Where,
h1 = height of soil sample at pressure P3
h2 = height of soil sample at pressure P2
L = length of soil sample
tv = time required for change in void ratio from e3 to e4
From the given data,
h1 – h2 = change in height = 0.10 cm
L = 4 cm (considering the dimension of soil sample to be 4 cm x 4 cm x 4 cm)
Cv = 12 m2/year
tv = (0.10^2) / [2.303 x 4 x 12 x (1.05 – 0.945)] = 0.125 year
Change in coefficient of consolidation can be calculated as follows:
Cv2 – Cv1 = [(log10 (t2/t1)] / [(e3 – e4) (log10 h2/h1)]
Where,
Cv1 = initial coefficient of consolidation = 12 m2/year
t1 = time required for change in void ratio from e1 to e2
t2 = time required for change in void ratio from e3 to e4
From the given data,
t1 = (h2^2 – h1^2) / [2.303 L Cv (e1 – e2)]
= (0.10^2) / [2.303 x 4 x 12 x (1.15 – 1.05)]
= 0.0125 year
t2 = 0.125 year (calculated above)
Cv2 – 12 = [(log10 (0.125/0.0125)] / [(1.05 – 0.945) (log10 0.60/0.30)]
Cv2 = 15.22 m2/year
Therefore, the change in coefficient of consolidation observed during the test will be 3.22 m2/year (increase) (Option B).
Initial void ratio (e1) = 1.15
Final void ratio (e2) at pressure P1 = 0.30 kgf/cm2= 1.15 – 1.05 = 0.10
Final void ratio (e3) at pressure P2 = 0.60 kgf/cm2= 1.15 – 0.10 = 1.05
Final void ratio (e4) at pressure P3 = 0.80 kgf/cm2= e3 – (10/100) e3 = 1.05 – 0.105 = 0.945
Coefficient of consolidation (Cv) at pressure P1 to P2 = 12 m2/year
Calculation:
Change in void ratio between pressure P2 and P3 = e3 – e4 = 1.05 – 0.945 = 0.105
Time required for change in void ratio from e3 to e4 can be calculated as follows:
tv = (h2^2 – h1^2) / [2.303 L Cv (e3 – e4)]
Where,
h1 = height of soil sample at pressure P3
h2 = height of soil sample at pressure P2
L = length of soil sample
tv = time required for change in void ratio from e3 to e4
From the given data,
h1 – h2 = change in height = 0.10 cm
L = 4 cm (considering the dimension of soil sample to be 4 cm x 4 cm x 4 cm)
Cv = 12 m2/year
tv = (0.10^2) / [2.303 x 4 x 12 x (1.05 – 0.945)] = 0.125 year
Change in coefficient of consolidation can be calculated as follows:
Cv2 – Cv1 = [(log10 (t2/t1)] / [(e3 – e4) (log10 h2/h1)]
Where,
Cv1 = initial coefficient of consolidation = 12 m2/year
t1 = time required for change in void ratio from e1 to e2
t2 = time required for change in void ratio from e3 to e4
From the given data,
t1 = (h2^2 – h1^2) / [2.303 L Cv (e1 – e2)]
= (0.10^2) / [2.303 x 4 x 12 x (1.15 – 1.05)]
= 0.0125 year
t2 = 0.125 year (calculated above)
Cv2 – 12 = [(log10 (0.125/0.0125)] / [(1.05 – 0.945) (log10 0.60/0.30)]
Cv2 = 15.22 m2/year
Therefore, the change in coefficient of consolidation observed during the test will be 3.22 m2/year (increase) (Option B).
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Community Answer
A clayey soil sample in a consolidometer test showed decrease in void ...
Coefficient of compressibility (av)=
Δe = change in void ratio
increase in effective stressCoefficient of volume compressibity
e0 = initial void ratio
Also,
k = cvmvγw
k = permeability of soil Sample
cv = coefficient of consolidation
mv = coefficient of volume compressibility
Calculation:
Δe1 = 1.15 – 1.05
Δe1 = 0.10
Δσ1 = 0.60 – 0.30
Δσ1 = 0.30 kgf/cm2
= 3.80×10−3cm2/sec k = 3.80 × 10–3 × 0.155 × γw
Now,
Δe2 = 1.10 × 0.10 = 0.11
Δσ2 = 0.80 – 0.30
Δσ2 = 0.50
As permeability of both the sample is Sames,
So,
3.80×10−3×0.155=cv2×0.122
cv2=4.83×10−3cm2/sec
cv2=15.22m2/ year
Change in coefficient of consolidation:
Δcv=cv2−cv1
Δcv = 15.22 – 12
Δcv = 3.22 m2/year
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A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer?
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A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. 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 clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. 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 clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer?.
A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. 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 clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. 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 clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer?.
Solutions for A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
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Here you can find the meaning of A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A clayey soil sample in a consolidometer test showed decrease in void ratio from 1.15 to 1.05 when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2. If the same soil shows 10% more decrease in void ratio when the pressure was increased from 0.30 kgf/cm2to 0.80 kgf/cm2, then change in coefficient of consolidation observed during the test will be?Take initialcoefficient of consolidation observed from test when the pressure was increased from 0.30 kgf/cm2to 0.60 kgf/cm2to be 12 m2/year.a)4.5 m2/year (decrease)b)3.22 m2/year (increase)c)12 m2/year (increase)d)3.22 m2/year (decrease)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
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