Relationship between Unit weight, Porosity, Moisture Content and
Specific gravity
e = Vv
* Assume volume of
the soil solids (Vs) = 1
Ws = Gs γw
Sr= Vw / Vv
γw = Ww / Vw
Gs = Ws / γw
Ws = Ww / w
γw = wGs γw / Vw
w = Ww / Ws
Sr= wGs / e
Av= Va / (1+e)
Av= e(1 – Sr) / 1+e
Av= (e – wGs) / 1+e
Av= n (1 – Sr)
*n= e/(1+e)
*If soil is fully saturated;
e=wGs
γsat= W / V
γsat = (Gs+Sre)γw/(1+e)
γsat = (Gs+e)γw / (1+e)
n = Vv / V
Ws = Gs γw (1-n)
Assume the total
volume is Vt = 1
w = Ww / Gs γw (1-n)
γw = wGs γw (1-n) / Vw
Vw = wGs (1-n)
TRISTAN ELIJAH PUDIN
A21EA0190
K2S2