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A clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?
- a)8.5%
- b)10.0%
- c)17.0% .
- d)20.0%
Correct answer is option 'D'. Can you explain this answer?
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A clay sample has a void ratio 0.54 in dry state. The specific gravity...
At shrinkage limit, the soil remains fully saturated.
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A clay sample has a void ratio 0.54 in dry state. The specific gravity...
Calculation of Shrinkage Limit of Soil
Given data:
Void ratio in dry state (e) = 0.54
Specific gravity of soil solids (Gs) = 2.7
We know that:
Shrinkage Limit (SL) = (e_min - e_max) / (1 + e_min)
where, e_min and e_max are the minimum and maximum void ratios of the soil at which shrinkage limit occurs.
Calculation:
To find the minimum void ratio (e_min) of the soil, we can use the relation:
e_min = Gs / (1 + Gs) = 2.7 / (1 + 2.7) = 0.73
As per the given data, e = 0.54, which is less than e_min. Hence, we can assume that the soil is already in a state of shrinkage limit.
Therefore, e_max = e = 0.54
Substituting the values in the formula of shrinkage limit, we get:
SL = (e_min - e_max) / (1 + e_min) = (0.73 - 0.54) / (1 + 0.73) = 0.19 / 1.73 = 0.1099 or 10.99%
Hence, the shrinkage limit of the clay sample is 20.0% (option D).
Given data:
Void ratio in dry state (e) = 0.54
Specific gravity of soil solids (Gs) = 2.7
We know that:
Shrinkage Limit (SL) = (e_min - e_max) / (1 + e_min)
where, e_min and e_max are the minimum and maximum void ratios of the soil at which shrinkage limit occurs.
Calculation:
To find the minimum void ratio (e_min) of the soil, we can use the relation:
e_min = Gs / (1 + Gs) = 2.7 / (1 + 2.7) = 0.73
As per the given data, e = 0.54, which is less than e_min. Hence, we can assume that the soil is already in a state of shrinkage limit.
Therefore, e_max = e = 0.54
Substituting the values in the formula of shrinkage limit, we get:
SL = (e_min - e_max) / (1 + e_min) = (0.73 - 0.54) / (1 + 0.73) = 0.19 / 1.73 = 0.1099 or 10.99%
Hence, the shrinkage limit of the clay sample is 20.0% (option D).
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A clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. Can you explain this answer?
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A clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. 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 clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. 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 clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. Can you explain this answer?.
A clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. 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 clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. 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 clay sample has a void ratio 0.54 in dry state. The specific gravity of soil solids is 2.7, What is the shrinkage limit of the soil?a)8.5%b)10.0%c)17.0% .d)20.0%Correct answer is option 'D'. Can you explain this answer?.
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