Civil Engineering - Soil Mechanics and Foundation Engineering - Discussion
Discussion Forum : Soil Mechanics and Foundation Engineering - Section 5 (Q.No. 43)
43.
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
Discussion:
19 comments Page 1 of 2.
Abhay said:
10 years ago
Bulk mass or apparent specific gravity(Gm) = γ/γw = 1.92.
γ= (G+eSr)γw/(1+e) => γ/γw = (G+eSr)/(1+e).
We know, eSr = wG => eSr = 0.3*2.75 = 0.825.
Therefore,
1.92 = (2.75 + 0.825)/(1+e) => 1+e = 3.575/1.92.
Therefore, e = 1.862 - 1 = 0.862.
Note:
γ - The moist unit weight of the material.
γw - Unit weight of water.
G - Specific gravity of a Solid.
e - Void ratio.
Sr - Degree of saturation.
γ= (G+eSr)γw/(1+e) => γ/γw = (G+eSr)/(1+e).
We know, eSr = wG => eSr = 0.3*2.75 = 0.825.
Therefore,
1.92 = (2.75 + 0.825)/(1+e) => 1+e = 3.575/1.92.
Therefore, e = 1.862 - 1 = 0.862.
Note:
γ - The moist unit weight of the material.
γw - Unit weight of water.
G - Specific gravity of a Solid.
e - Void ratio.
Sr - Degree of saturation.
(10)
B.Singh said:
3 years ago
We know,
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).
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).
(5)
Ashutosh kumar Gautam said:
3 years ago
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).
Here, we can also work on a solution please help me all of you.
Gm= Gs/ (1+e).
Gs= Gm (1+e).
(3)
Prabhat said:
4 years ago
Soil sample is porosity 30% the specific gravities solid is 2.65 calculate words ratio dry Unit Weight Unit of solid 50% saturated and Unit Weight of completely saturated.
(3)
Amit said:
7 years ago
Gm = G (1- n ) (1+w).
Acc to this relation, the ans is .860.
Acc to this relation, the ans is .860.
(1)
Arwa said:
5 years ago
Thank you all.
(1)
Rahul said:
6 years ago
Thanks @Abhay.
(1)
Omi said:
6 years ago
G = Gm(1+e) because soil is not dry, Soil contains some water content.
Sanjay rana said:
5 years ago
Yb = (G(1+w))/(1+e)*Yw.
Surender said:
5 years ago
Thanks @Abhay.
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