# Unit Weight

Unit weight, abbreviated as \(\gamma\), is the ratio of the total weight to the total volume.

## Unit Weight formulas |
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\(\large{ \gamma = \frac{ W_t }{ V_t } }\) \(\large{ \gamma = \frac{ G_s \;+\; S \; e }{ 1 \;+\; e } \; \gamma_w }\) \(\large{ \gamma = \frac{ G_s \; \left( 1 \;+\; w \right) }{ 1 \;+\; e } \; \gamma_w }\) |
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Symbol |
English |
Metric |

\(\large{ \gamma }\) (Greek symbol gamma) = unit weight | \(\large{ \frac{lbm}{ft^3} }\) | \(\large{ \frac{N}{m^3} }\) |

\(\large{ S }\) = degree of saturation (expressed as %) | \(\large{dimensionless}\) | |

\(\large{ G_s } \) = specific gravity of soil | \(\large{dimensionless}\) | |

\(\large{ V_t } \) = total volume of soil | \(\large{ft^3}\) | \(\large{m^3}\) |

\(\large{ W_t }\) = total weight of soil | \(\large{lbf}\) | \(\large{N}\) |

\(\large{ \gamma_w }\) (Greek symbol gamma) = unit weight of water | \(\large{ \frac{lbm}{ft^3} }\) | \(\large{ \frac{N}{m^3} }\) |

\(\large{ e }\) = void ratio | \(\large{dimensionless}\) |