Moisture Unit Weight

Saturated unit weight, abbreviated as \(\large{ \gamma_m } \), is the total weight of soil per volume of soil or when the soil voids are filled with water and no air.

 

Moisture Unit Weight formula

\(\large{ \gamma_m =  \frac{ W_t }{ V }    }\)
\(\large{ \gamma_m =  \frac{ W_s \;+\; W_w }{ V }    }\)
\(\large{ \gamma_m =  \frac{ \left( 1 \;+\; w \right) \; G_s \; \gamma_w  }{ 1\;+\;e }    }\)

Where:

\(\large{ \gamma_m } \)  (Greek symbol gamma) = moisture unit weight

\(\large{ w } \) = moisture content

\(\large{ G_s }\) = specific gravity of soil and rock

\(\large{ W_t } \) = total weight of soil

\(\large{ \gamma_w }\)  (Greek symbol gamma) = unit weight of water

\(\large{ e }\) = void ratio

\(\large{ V } \) = volume of soil