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Soil Mechanics and Foundation Engineering - Engineering

Q1:

A soil sample of mass specific gravity 1.92, has a moisture content 30%. If the specific gravity of solids is 2.75, the void ratio, is

A 0.858

B 0.860

C 0.862

D 0.864

ANS:C - 0.862

γb/γw = Gm = 1.92.
γb = Gm x γw = 1.92 x 9.8 = 18.816.

Again, We know,

γd = γb / (1+w) = 18.816 / (1+0.3) = 14.473.

We also know,

γd = (G x γw) / (1+e).

(1+e) = (Gs x γw)/γd.
= (2.75 x 9.8) / (14.473),
= 1.862,
(1+e) = 1.862.

e = 1.862 - 1 = 0.862 (Answer). Gs=Gm (1+e).

Here, we can also work on a solution please help me all of you.

Gm= Gs/ (1+e).
Gs= Gm (1+e).