Answer:
Explanation:
Given that,
Moisture content w = 16%
The in situ moist unit weight of soil: γ(in situ) = 17.3 kN/m³
Specific gravity of the soil
G(s) = 2.72
Minimum dry unit weight of the soil
γd(compacted) = 18.1 kN/m³
Moisture content remains the same
w = 16%
Question:
How much cubic meters of soil are necessary from the excavation site to create 2000 m³ of compacted fill?
Now, let's work out the in situ dry unit weight γd(in-situ) with the formula:
γd(in-situ) = γ(in-situ) / [1 + (w/100)]
γd(in-situ) = 17.3 / [1 + (16/100)]
γd(in-situ) = 17.3 / (1 + 0.16)
γd(in-situ) = 17.3 / 1.16
γd(in-situ) = 14.89 kN/m³
To find out the Volume of soil to be excavated (Vex):
Let the Volume to be excavated = V
We will use the relationship:
V = V(fill) × γd(compacted) / γd(in situ)
Given that, V(fill) = 2000 m³
V(fill) is the compacted fill volume.
Therefore, we have:
V = V(fill) × γd(compacted) / γd(in situ)
Vex = 2000 × 18.1 / 14.89
Vex = 2423.34 m³
Thus, the soil volume to be excavated equals 2423.34 m³.