Calculation of Void Ratio of Soil


To calculate the void ratio of the soil, we need to use the formula:


Void Ratio (e) = Volume of Voids / Volume of Solids


We can calculate the volume of solids by dividing the mass of solids by the specific gravity of solids.


Volume of Solids = Mass of Solids / Specific Gravity of Solids


We are given the specific gravity of the soil, which is 2.70. Since the soil is assumed to be perfectly dry, the mass of water is zero. Therefore, the mass specific gravity of the soil is the same as the specific gravity of solids.


Mass Specific Gravity of Soil = Specific Gravity of Solids = 1.84


We can now calculate the volume of solids:


Volume of Solids = Mass of Solids / Specific Gravity of Solids


Since we do not know the mass of solids, we can assume a mass of 1 unit. Therefore, the volume of solids is:


Volume of Solids = 1 / 1.84 = 0.5435


To calculate the volume of voids, we can subtract the volume of solids from the total volume of the soil. Since the soil is assumed to be perfectly dry, the total volume is equal to the volume of solids.


Volume of Voids = Total Volume - Volume of Solids = Volume of Solids - Volume of Solids = 0


Therefore, the void ratio of the soil is:


Void Ratio = Volume of Voids / Volume of Solids = 0 / 0.5435 = 0


Explanation of the Result


The result of the void ratio being zero means that there are no voids in the soil. This is because we assumed the soil to be perfectly dry. In reality, soil always contains some amount of water, and therefore some amount of voids. However, if the soil is saturated, the void ratio can be very low, close to zero. This means that the soil is very dense and has very little capacity to hold water.

Gm=У/Уw
У=(Gm)(Уw)
У=1.84Уw

У=(G+Se)Уw/1+e
1.84Уw=(2.7+0.e)Уw/1+e (dry state; S=0)
1.84=2.7/1+e
1+e=2.7/1.84
1+e=1.4673
e=0.4673