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In a standard California bearing ratio test (sample height is 125 mm), the difference between the initial and final dial gauge readings is found to be 0.125 mm. What is the expansion ratio of this soil?
- a)10
- b)100
- c)0.1
- d)1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a standard California bearing ratio test (sample height is 125 mm),...
California Bearing Ratio (CBR)
- The California bearing ratio test is used to evaluate the suitability of subgrade and the material used in sub-base and base course.
- It is measured to indicate the relative strength of paving materials and not the absolute strength.
- CBR test is a strength test conducted on the soil by introducing surcharge load at the compaction rate of 1.25 mm per minute on a completely soaked soil sample passing through 20 mm sieve size.
- The test results have been correlated with the thickness of the various materials required for the flexible pavement.
δ = displacement in mm
Pδ = Load corresponding to ‘δ’ settlement
Ps = Load for standard crushed aggregate:
At 5 mm penetration Standard load Ps = 2055 kg
At 2.5 mm penetration standard load Ps = 1370 kg
Calculation:
Given data;
The sample height = 125 mm
The change in sample height = 0.125 mm
The expansion ratio of this soil is
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In a standard California bearing ratio test (sample height is 125 mm),...
Standard California Bearing Ratio Test
The California Bearing Ratio (CBR) test is a penetration test used to evaluate the strength of subgrade soil. It is commonly used in geotechnical engineering to assess the quality and load-bearing capacity of soil for road and pavement construction.
Expansion Ratio
The expansion ratio is a measure of the increase in volume or height of the soil specimen during the CBR test. It is calculated by dividing the difference between the initial and final dial gauge readings by the initial dial gauge reading, and then multiplying by 100 to express it as a percentage.
Given Information
- Sample height (H) = 125 mm
- Difference between initial and final dial gauge readings (∆h) = 0.125 mm
Calculation
The expansion ratio (ER) can be calculated using the formula:
ER = (∆h / H) * 100
Substituting the given values:
ER = (0.125 / 125) * 100
ER = 0.001 * 100
ER = 0.1
Therefore, the expansion ratio of the soil sample is 0.1 or 10%.
Interpretation
The expansion ratio of 0.1 indicates that the soil specimen expanded by 10% of its initial height during the CBR test. This expansion is typically caused by the compaction of the soil under the applied load.
Conclusion
The correct answer is option C) 0.1. The expansion ratio of the soil, calculated using the formula (∆h / H) * 100, is 0.1 or 10%.
The California Bearing Ratio (CBR) test is a penetration test used to evaluate the strength of subgrade soil. It is commonly used in geotechnical engineering to assess the quality and load-bearing capacity of soil for road and pavement construction.
Expansion Ratio
The expansion ratio is a measure of the increase in volume or height of the soil specimen during the CBR test. It is calculated by dividing the difference between the initial and final dial gauge readings by the initial dial gauge reading, and then multiplying by 100 to express it as a percentage.
Given Information
- Sample height (H) = 125 mm
- Difference between initial and final dial gauge readings (∆h) = 0.125 mm
Calculation
The expansion ratio (ER) can be calculated using the formula:
ER = (∆h / H) * 100
Substituting the given values:
ER = (0.125 / 125) * 100
ER = 0.001 * 100
ER = 0.1
Therefore, the expansion ratio of the soil sample is 0.1 or 10%.
Interpretation
The expansion ratio of 0.1 indicates that the soil specimen expanded by 10% of its initial height during the CBR test. This expansion is typically caused by the compaction of the soil under the applied load.
Conclusion
The correct answer is option C) 0.1. The expansion ratio of the soil, calculated using the formula (∆h / H) * 100, is 0.1 or 10%.
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