Answer:
Explanation:
Given that,
Moist content w = 16%
The in situ moist unit weight of the 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
Moist content is same as above
w = 16%
Question
how many cubic meters of soil from the excavation site are needed to produce 2000 m³ of compacted fill?
Let determine the in situ dry unit weight γd(in-situ) using the relation
γd(in-situ) = γ(in-situ) / [1 + (w/100)]
γd(in-situ) = 17.3/ [1 + (18/100)]
γd(in-situ) = 17.3 / ( 1 + 0.18)
γd(in-situ) = 17.3 / 1.18
γd(in-situ) = 14.66 kN/m³
To determine the Volume of the soil to be excavated (Vex)
Let the Volume to be excavated = V
We can use the relation
V=V(fill) × γd(compacted) / γd(in situ)
Given that, V(fill) = 2000m³
V(fill) is the volume of the compacted fill
Therefore,
V=V(fill) × γd(compacted) / γd(in situ)
Vex = 2000 × 18.1 / 14.66
Vex = 2469.13 m³
So, the excavated volume of the soil is 2469.13 m³
