Question
Download Solution PDFIn a liquid limit test, the moisture content at 10 blows was 70% and at 100 blows was 20%. The liquid limit of the soil is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The Liquid Limit (LL) is the water content at which a soil changes from the plastic to liquid state. It is defined as the water content at which the soil gives a closure of the groove at 25 blows in the Casagrande apparatus.
To find LL from two known water contents and number of blows, we use the standard formula:
\( w = w_1 + \left( \frac{w_2 - w_1}{\log N_2 - \log N_1} \right) \cdot (\log 25 - \log N_1) \)
Given:
- At 10 blows, moisture content
- At 100 blows, moisture content
- Required: moisture content at 25 blows (Liquid Limit)
Step-by-step Calculation:
- \( \log_{10}(10) = 1 \)
- \( \log_{10}(100) = 2 \)
- \( \log_{10}(25) = 1.3979 \)
Substitute in the formula:
\( w = 70 + \left( \frac{20 - 70}{2 - 1} \right) \cdot (1.3979 - 1) \)
\( w = 70 + (-50) \cdot 0.3979 \)
\( w = 70 - 19.895 = 50.1\% \)
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