# Soil Weight Relation

The density of the material is the ratio of the amount of matter in an object compared to its volume.

### Soil weight Relation formula

\(\large{ \gamma_t = \frac{W_s + W_w}{V_s + V_v} }\)

\(\large{ \gamma = \gamma_s \;-\; \gamma_w }\)

\(\large{ \gamma_d = \frac{W_s}{V} }\)

\(\large{ \gamma_s = \frac{W_s}{V_s} }\)

\(\large{ w = \frac{W_w}{W_s} }\)

Where:

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

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

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

\(\large{ \gamma_s }\) (Greek symbol gamma) = saturated unit weight or bulk density

\(\large{ w }\) = water content

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

\(\large{ V }\) = total volume of air, soil solids, and water

\(\large{ V_s }\) = volume of soil solids

\(\large{ V_w }\) = volume of water

\(\large{ W }\) = total weight of soil solids and water

\(\large{ W_a }\) = weight of air

\(\large{ W_s }\) = weight of soil solids

\(\large{ W_w }\) = weight of water

Tags: Equations for Liquid Equations for Weight Equations for Soil