# Weight of Soil

Written by Jerry Ratzlaff on . Posted in Geotechnical Engineering

## Weight of Soil formulas

 $$\large{ W_s = \frac{ W }{ 1 \;+\; w } }$$ $$\large{ W_s = \frac{ V_t \; \left( G_s \;+\; S \; e \right) \; \gamma_w }{1 \;+\; e } }$$

### Where:

 Units English Metric $$\large{ W_s }$$ = weight of soil $$\large{lbf}$$ $$\large{N}$$ $$\large{ S }$$ = degree of saturation $$\large{dimensionless}$$ $$\large{ G_s }$$ = specific gravity of soil $$\large{dimensionless}$$ $$\large{ W }$$ = total weight $$\large{lbf}$$ $$\large{N}$$ $$\large{ V_t }$$ = total volume of soil $$\large{ft^3}$$ $$\large{m^3}$$ $$\large{ \gamma_w }$$  (Greek symbol gamma) = unit weight of water $$\large{lbf}$$ $$\large{N}$$ $$\large{ e }$$ = void ratio $$\large{dimensionless}$$ $$\large{ w }$$ = water content $$\large{dimensionless}$$