Saturated Unit Weight

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

partially saturated soil 1Saturated 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

 

Tags: Equations for Weight Equations for Soil