Dry Unit Weight

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

partially saturated soil 1Dry unit weight, abbreviated as \( \gamma_d \), is the ratio of the weight of soil to the volume of soil or when the soil voids are filled with air and no water. 

 

Dry Unit Weight formulas

\(\large{ \gamma_d =  \frac{ W_s }{ V_t }    }\)   
\(\large{ \gamma_d =  \frac{ G_s \; \gamma_w  }{ V_t }    }\)  
\(\large{ \gamma_d =  \frac{ G_s \; \gamma_w }{ e \;+\;1 }    }\)  
\(\large{ \gamma_d =  \frac{ Y }{ 1 \;+\; w }  }\)   

Where:

 Units English Metric
\(\large{ \gamma_d } \)  (Greek symbol gamma) = dry unit weight \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{N}{m^3} }\)
\(\large{ Y } \) = bulk density \(\large{\frac{lbm}{ft^3}}\) \(\large{\frac{kg}{m^3}}\)
\(\large{ G_s }\) = specific gravity of soil \(\large{dimensionless}\)
\(\large{ \gamma_w }\)  (Greek symbol gamma) = unit weight of water \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{N}{m^3} }\)
\(\large{ e } \) = void ratio \(\large{dimensionless}\)
\(\large{ V_t } \) = total volume of soil \(\large{ft^3}\) \(\large{m^3}\)
\(\large{ w } \) = water content \(\large{dimensionless}\)
\(\large{ W_s } \) = weight of soil \(\large{lbf}\) \(\large{N}\)

 

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Tags: Weight Equations Soil Equations Geotechnical Equations