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The maximum dry density of a soil sample by the compaction test is 1.65 gm/l at an optimum moisture content of 20 percent Find the theoretical maximum dry density of the sample if the specific gravity of soil solids is 2.6 ?
Ans is 1.71 gm/l?
Ans is 1.71 gm/l?
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The maximum dry density of a soil sample by the compaction test is 1.6...
Calculation of Theoretical Maximum Dry Density
Given:
- Maximum dry density (𝜌d,max) = 1.65 gm/l
- Optimum moisture content (OMC) = 20%
- Specific gravity of soil solids (Gs) = 2.6
To find: Theoretical maximum dry density (𝜌d,max)
Formula used:
𝜌d,max = (Gs × γw) / (1 + e)
where, γw = unit weight of water = 1 gm/l
e = void ratio
where, γw = unit weight of water = 1 gm/l
e = void ratio
Solution:
Given maximum dry density (𝜌d,max) = 1.65 gm/l
Given optimum moisture content (OMC) = 20%
Given specific gravity of soil solids (Gs) = 2.6
Let us assume that the soil sample is fully saturated i.e., e = 1
Substituting the given values in the formula:
𝜌d,max = (2.6 × 1) / (1 + 1) = 1.3 / 2 = 0.65 gm/l
Now, we know that the maximum dry density (𝜌d,max) occurs at the minimum void ratio (emin).
From the compaction test, we know that the maximum dry density (𝜌d,max) occurs at 20% moisture content. Hence, we can assume that the void ratio at this moisture content is the minimum void ratio (emin).
Let us assume that the void ratio at 20% moisture content is e = 0.8
Substituting the given values in the formula:
𝜌d,max = (2.6 × 1) / (1 + 0.8) = 2.6 / 1.8 = 1.44 gm/l
Therefore, the theoretical maximum dry density (𝜌d,max) of the soil sample is 1.44 gm/l.
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The maximum dry density of a soil sample by the compaction test is 1.65 gm/l at an optimum moisture content of 20 percent Find the theoretical maximum dry density of the sample if the specific gravity of soil solids is 2.6 ?Ans is 1.71 gm/l?
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The maximum dry density of a soil sample by the compaction test is 1.65 gm/l at an optimum moisture content of 20 percent Find the theoretical maximum dry density of the sample if the specific gravity of soil solids is 2.6 ?Ans is 1.71 gm/l? 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 The maximum dry density of a soil sample by the compaction test is 1.65 gm/l at an optimum moisture content of 20 percent Find the theoretical maximum dry density of the sample if the specific gravity of soil solids is 2.6 ?Ans is 1.71 gm/l? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum dry density of a soil sample by the compaction test is 1.65 gm/l at an optimum moisture content of 20 percent Find the theoretical maximum dry density of the sample if the specific gravity of soil solids is 2.6 ?Ans is 1.71 gm/l?.
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