# Saturated Unit Weight

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

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

## Saturated Unit Weight formulas

 $$\large{ \gamma_{sat} = \frac{ W_t }{ V_t } }$$ $$\large{ \gamma_{sat} = \frac{ W_s \;+\; W_w }{ V_s \;+\; V_v } }$$ $$\large{ \gamma_{sat} = \frac{ G_s \; \gamma_w \;+\; e\; \gamma_w }{ 1 \;+\; e } }$$ $$\large{ \gamma_{sat} = \frac{ \left( G_s \;+\; e \right) \; \gamma_w }{ 1\;+\;e } }$$

### Where:

$$\large{ \gamma_{sat} }$$  (Greek symbol gamma) = saturated unit weight

$$\large{ G_s }$$ = specific gravity of soil

$$\large{ V_t }$$ = total volume of soil

$$\large{ W_t }$$ = total weight of soil

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

$$\large{ e }$$ = void ratio