# Dry Unit Weight

Dry unit weight, abbreviated as \( \gamma_d \), is the ratio of the weight of soil to the volume of soil or when the soil voids are filled with air and no water.

## Dry Unit Weight formulas

\(\large{ \gamma_d = \frac{ W_s }{ V_t } }\) | |

\(\large{ \gamma_d = \frac{ G_s \; \gamma_w }{ V_t } }\) | |

\(\large{ \gamma_d = \frac{ G_s \; \gamma_w }{ e \;+\;1 } }\) | |

\(\large{ \gamma_d = \frac{ Y }{ 1 \;+\; w } }\) |

### Where:

Units |
English |
Metric |

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

\(\large{ Y } \) = bulk density | \(\large{\frac{lbm}{ft^3}}\) | \(\large{\frac{kg}{m^3}}\) |

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

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

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

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

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

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

Tags: Weight Equations Soil Equations Geotechnical Equations