# Moisture Unit Weight

Written by Jerry Ratzlaff on . Posted in Geotechnical

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