# Soil Weight Relation

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

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