Site investigation · Laboratory: compaction & field density
Density index (max/min dry density) calculator
Density index of a sand from its maximum and minimum index densities and the field dry density.
Standard: AS 1289.5.5.1 · AS 1289.5.6.1 · ASTM D4253/D4254
Open the live calculator → All site investigation calculators
Inputs in the worked example
The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.
| Input | Value | Unit |
|---|---|---|
| Maximum dry density | 1.78 | t/m³ |
| Minimum dry density | 1.45 | t/m³ |
| Field dry density | 1.66 | t/m³ |
| Particle density Gs | 2.65 | |
| Required density index | 70 | % |
Worked example — results
| Result | Value | Unit |
|---|---|---|
| Density index ρmax(ρ − ρmin)/(ρ(ρmax − ρmin)) | 68.24 | % |
| e max | 0.828 | |
| e min | 0.489 | |
| Field void ratio | 0.596 | |
| Density description | dense |
- ✗ Density index ≥ required
Method, formulas and assumptions
- Density index ρmax(ρ − ρmin)/(ρ(ρmax − ρmin)) = 100*1.78*(1.66-1.45)/(1.66*(1.78-1.45)) = 68.237 %
- e max = 2.65/1.45-1 = 0.82759
- e min = 2.65/1.78-1 = 0.48876
- Field void ratio = 2.65/1.66-1 = 0.59639
- Density description = IF(68.237<15,"very loose",IF(68.237<35,"loose",IF(68.237<65,"medium dense",IF(68.237<85,"dense","very dense")))) = dense
Related site investigation calculators
- Compaction curve (standard / modified) — Moisture–density points to MDD and OMC with zero-air-voids and 80 % saturation lines, plus field density…
- California Bearing Ratio (lab) — Load–penetration curve to CBR at 2.5 and 5.0 mm, with swell and pavement subgrade notes.
- Field density: core cutter — Bulk and dry density from a driven core cutter, with relative compaction against the laboratory MDD.
- Field density: sand replacement — Hole volume from calibrated sand, then bulk density, dry density and relative compaction.
- Nuclear gauge density lot assessment — Lot of nuclear gauge tests: dry density, relative compaction, characteristic value (mean − k·s) and moisture…
- Relative compaction & moisture variation — Density ratio and moisture variation from field and laboratory results against a specification window.
- CBR soaked swell & moulding conditions — Swell during soaking, moulding density ratio and moisture ratio for a CBR specimen.
For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.