CGCivil Geo Tools

Geotechnical Engineering

Unit Weight / Density Converter

Convert pcf to kN/m3 and between lb/ft3, kg/m3, Mg/m3, g/cm3, and N/m3 for soil unit weight and mass density calculations.

Engineering schematic

Mass density and unit weight

Static symbolic figure. Enter project values in the calculator fields below.

Representative material element with volume V, mass m, downward weight W equals m g, mass density rho equals m over V, and unit weight gamma equals W over V equals rho g.
Symbols
V
material volume
m
mass
W
weight force, mg
ρ
mass density, mass per volume
γ
unit weight, force per volume

Result

120 pcf = 18.8505 kn/m3

Converted

18.8505

Step-by-step calculation

  1. Converted value
    120 pcf=18.8505 kn/m3120\ \mathrm{pcf}=18.8505\ \mathrm{kn/m3}

What this means

Use consistent units throughout engineering calculations to avoid hidden conversion errors.

Assumptions

  • Standard gravity of 9.80665 m/s2 where mass and force units are related
  • No material-specific correction factor

Formula Used

γ=ρgg=9.80665 m/s2\gamma=\rho g\qquad g=9.80665\ \mathrm{m/s^2}

Step-by-Step Example

120 pcf is about 18.86 kN/m3.

Engineering Notes

  • Mass density is mass per volume, while unit weight is force per volume. They are related through gravitational acceleration.
  • Conversions between kg/m3 or Mg/m3 and force-based units use standard gravity of 9.80665 m/s2.
  • Confirm whether a project value is moist, dry, saturated, submerged, or buoyant unit weight before using it in a calculation.

FAQ

Are density and unit weight identical?

Strictly no, but engineers often convert common field values using standard weight-density relationships.

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