Bulk Unit Weight
Bulk Unit weight formulas
| \(\large{ \gamma_t = \frac{ W }{ V } }\) | |
| \(\large{ \gamma_t = \frac{W_s \;+\; W_w}{V_s \;+\; V_v} }\) | |
| \(\large{ \gamma_t = \frac{ \gamma_w \; V_w \;+\; \gamma_s \; V_s }{ V_v \;+\; V_s } }\) | |
| \(\large{ \gamma_t = \frac{ \gamma_w \; V_w \;+\; G_s \; \gamma_w \; V_s }{ V_v \;+\; V_s } }\) | |
| \(\large{ \gamma_t = \frac{ V_w \;+\; G_s \; V_s }{ V_v \;+\; V_s } \; \gamma_w }\) | |
| \(\large{ \gamma_t = \frac{ S \; V_v \;+\; G_s \; V_s }{ V_v \;+\; V_s } \; \gamma_w }\) | |
| \(\large{ \gamma_t = \frac{ S \; e \;+\; G_s }{ e \;+\; 1 } \; \gamma_w }\) | |
| \(\large{ \gamma_t = \frac{ \left(G_s \;+\; S \; e \right) \; \gamma_w }{ e \;+\; 1 } }\) | |
| \(\large{ \gamma_t = \frac{ \left(G_s \;+\; S \; w \right) \; \gamma_w }{ e \;+\; 1 } }\) |
Where:
\(\large{ \gamma_t }\) (Greek symbol gamma) = bulk unit weight
\(\large{ S }\) = degree of saturation
\(\large{ G_s }\) = specific gravity of soil
\(\large{ \gamma_s }\) (Greek symbol gamma) = unit weight of solid
\(\large{ \gamma_w }\) (Greek symbol gamma) = unit weight of water
\(\large{ e }\) = void ratio
\(\large{ V_s }\) = volume of soil solid
\(\large{ V_v }\) = volume of voids
\(\large{ V_w }\) = volume of water
\(\large{ w }\) = water content
\(\large{ W_s } \) = weight of soil
\(\large{ W_w }\) = weight of water