Civil Engineering - Soil Mechanics and Foundation Engineering - Discussion
Discussion Forum : Soil Mechanics and Foundation Engineering - Section 1 (Q.No. 46)
46.
The relationship between void ratio (e) and porosity ratio (n) is :
n = 
e = 
n = 
e = n/(1 - n)
Discussion:
18 comments Page 1 of 2.
Amare yihunie said:
7 years ago
e = vv/vs.
n = vv/vt.
Where vv = volume of void,
vs = volume of solid,
vt = total volume.
But from relation vt=vv+vs.
So vs=vt-vv and vv=n*vt.
Then substitute value of vv,
e = n*vt/vs.
Again substitute value of vs enterms vs=vt-vv.
e = n*vt/(vt-vv) and also divided by vt.
e = n*(vt/vt)/((vt/vt)-(vv/vt)).
e = n/(1-vv/vt) but vv/vt = n.
There for e = n/(1-n).
n = vv/vt.
Where vv = volume of void,
vs = volume of solid,
vt = total volume.
But from relation vt=vv+vs.
So vs=vt-vv and vv=n*vt.
Then substitute value of vv,
e = n*vt/vs.
Again substitute value of vs enterms vs=vt-vv.
e = n*vt/(vt-vv) and also divided by vt.
e = n*(vt/vt)/((vt/vt)-(vv/vt)).
e = n/(1-vv/vt) but vv/vt = n.
There for e = n/(1-n).
(1)
Steve said:
7 years ago
First, e=Vv/Vs -------------> (1)
V=Vv+Vs; from here, Vs=V-Vv.
From (1) above, e=Vv/V-Vv; now dividing numerator and denominator by V knowing that Vv/V=n; where n=porosity of the soil.
Hence, e=(Vv/V)/(V/V-Vv/V),
e=n/(1-n).
V=Vv+Vs; from here, Vs=V-Vv.
From (1) above, e=Vv/V-Vv; now dividing numerator and denominator by V knowing that Vv/V=n; where n=porosity of the soil.
Hence, e=(Vv/V)/(V/V-Vv/V),
e=n/(1-n).
Nikhil said:
1 decade ago
n = vol of voids/vol of soil.
e = vol of voids/vol of soilds.
vol of soil = vol of voids +vol of soilds.
Using this formula we get e = n(1 + e).
e = vol of voids/vol of soilds.
vol of soil = vol of voids +vol of soilds.
Using this formula we get e = n(1 + e).
B. Karthik said:
1 decade ago
n = Vv/V.
e = Vv/Vs.
V = Vs+Vv.
n = Vv/(Vv+Vs).
Divide numerator and denominator by Vs.
n = (Vv/Vs)/{(Vv/Vs)+(Vs/Vs)}.
n = e/(1+e).
e = Vv/Vs.
V = Vs+Vv.
n = Vv/(Vv+Vs).
Divide numerator and denominator by Vs.
n = (Vv/Vs)/{(Vv/Vs)+(Vs/Vs)}.
n = e/(1+e).
Innobm said:
10 years ago
e = Vv/Vs.
But V = Vv+Vs, Vs = V-Vv.
e = Vv/(V-Vv).
Divide throughout by V.
e = (Vv/v)/((V-Vv)/V) as Vv/V = n.
e = n/(1-n).
But V = Vv+Vs, Vs = V-Vv.
e = Vv/(V-Vv).
Divide throughout by V.
e = (Vv/v)/((V-Vv)/V) as Vv/V = n.
e = n/(1-n).
Elio said:
5 years ago
The Relationship bw e and n= n/1-n.
n and e= e/1+e.
Ref: Khurmi.
n and e= e/1+e.
Ref: Khurmi.
TBK said:
5 years ago
e is the void ratio and n is the porosity we know that e=Vv/Vs and n=Vv/V.
So e = n/(1-n).
So e = n/(1-n).
@arun said:
1 decade ago
We get e = n(1 + e).
Than how will you get e = n/(1 - n)?
How to change sign?
Than how will you get e = n/(1 - n)?
How to change sign?
Ashok bishnoi said:
1 decade ago
1/n = (1/e)+1.
Solving above eq we get relation b/w n & e,
n = e/1+e.
Solving above eq we get relation b/w n & e,
n = e/1+e.
Kate said:
9 years ago
But when you divide it by v, wouldn't you have to divide e by v as well?
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