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

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