Unit Weight

Written by Jerry Ratzlaff on . Posted in Geotechnical

partially saturated soil 1

Unit weight, abbreviated as \(\gamma\), is the ratio of the total weight to the total volume.

 

Unit Weight formulas

\(\large{ \gamma =  \frac{ W_t  }{ V_t }  }\)  
\(\large{ \gamma =  \frac{ G_s \;+\; S \; e }{ 1 \;+\; e }  \; \gamma_w }\)  
\(\large{ \gamma =  \frac{ G_s \; \left( 1 \;+\; w \right) }{ 1 \;+\; e } \; \gamma_w }\)  

Where:

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

\(\large{ S }\) = degree of saturation (expressed as %)

\(\large{ G_s } \) = 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