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[SOLUTION] PI = LL − PL PI = 49.10 − 23.13 PI = 25.97 ▣ 4. Determine the liquidity index if ω = 0.38. [SOLUTION] LI = ω − PL PI LI = 38 − 23.13 25.97 LI = 57.26% ▣ 5. In a liquid limit test using cup apparatus, the following data were taken: Sample Water Content No. of blows 1 41.80% 39 2 43.50% 23 3 44.30% 20 4 45.50% 13 What is the liquid limit? [SOLUTION] In a cup apparatus, the liquid limit is the water content at 25 blows. Use logarithmic interpolation. log 25 − log 23 log 39 − log 23 = LL − 43.50 41.80 − 43.50 LL = 43.23 SITUATION 2. For a sample of soil, the following grain size characteristics are given. Liquid limit = 24% Plastic Limit = 19% Uniformity coefficient = 5.5 Coefficient of curvature = 4.0 Sieve No. Percent Passing 4 98 10 90 20 64 40 38
80 18 200 4 Determine the following. ▣ 6. Group symbol using USCS. [SOLUTION] Since F200 > 50% since the passing at Sieve 200 is 4%, then it is COARSE-GRAINED Since more than 50% of coarse fractions is smaller than Sieve 4, then it is SAND Since Sieve 200 is less than 5%, then it is CLEAN SAND Cu = 5.5 < 6, Cc = 4.0 > 3 Then the classification is SP (POORLY GRADED SAND) ▣ 7. Group classification using AASHTO. [SOLUTION] Since the Sieve 200 passing is less than 35%, then it is GRANULAR MATERIAL Since Sieve 40 passing is less than 50% and Sieve 200 is less than 25% Plasticity index is 5 which is less than 6, then it is A-1-b ▣ 8. Determine the group index. [SOLUTION] Since the soil is A-1-b, then it is automatically 0. SITUATION 3. A sample of soil has the following grain-size characteristics: Size (mm) Percent Passing 2 100 0.075 74 0.05 60 0.005 32 0.002 15 Determine the following: ▣ 9. Percentage of silt.
[SOLUTION] Since 2 mm sieve is of 100% passing, then there is no gravel in the soil. %silt = 60% − 15% = 45% ▣ 10. Determine the classification of the soil using the USDA chart. [SOLUTION] %Sand = 40% %Clay = 15% Therefore, the classification is LOAM. ▣ 11. Activity classification if the plasticity index is 34%. [SOLUTION] A = PI %Clay A = 34 15 A = 2.27 ▣ 12. In a specific gravity test the following data were recorded: Mass of pycnometer jar = 530 g

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