Specific Gravity of Soil

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

partially saturated soil 1Specific gravity of soil, abbreviated as \(SG_s\), a dimensionless number, the mass of solids in the soil compared to the mass of water at the same volume.

 

Specific Gravity of soil formulas

\(\large{ SG_s = \frac{ \rho_s }{ \rho_w }  }\)

\(\large{ SG_s = \frac{ M_s }{ V_s \; \rho_w }   }\)

\(\large{ SG_s = \frac{ W_s }{ V_s } \; \gamma_w  }\) 

Symbol English Metric
\(\large{ SG_s }\) = specific gravity of soil \(\large{dimensionless}\)
\(\large{ \rho_s }\)  (Greek symbol rho) = density of soil \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{kg}{m^3} }\)
\(\large{ \rho_w }\)  (Greek symbol rho) = density of water \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{kg}{m^3} }\)
\(\large{ M_s }\)  = mass of soil \(\large{lbm}\) \(\large{kg}\)
\(\large{ \gamma_w }\)  (Greek symbol gamma) = unit weight of water \(\large{ \frac{lbm}{ft^3} }\) \(\large{ \frac{N}{m^3} }\)
\(\large{ V_s } \) = volume of solid soil \(\large{ft^3}\) \(\large{m^3}\)
\(\large{ W_s } \) = weight of soil \(\large{lbf}\) \(\large{N}\)

 

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Tags: Weight Equations Soil Equations