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Relative Compaction (Percent Proctor)

Also known as percent proctor · compaction test

R=γd,fieldγd,max×100R = \frac{\gamma_{d,field}}{\gamma_{d,max}}\times 100

Worked example: 17.8 of 18.9 kN/m³ → R = 94.2% — press Try an example to run it live, then adjust anything.

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Relative Compaction (Percent Proctor) explained

γd,fieldγd,maxR

Every earthwork specification in the world is written as a percentage of Proctor: 95% standard Proctor under a road embankment, 98% modified under a structural pad. The reference is the peak of the compaction curve Ralph Proctor published in 1933, and the field number comes from a sand cone, a rubber balloon or a nuclear gauge. A fill placed at 17.8 kN/m³ against an 18.9 kN/m³ maximum is 17.8 ÷ 18.9 × 100 = 94.2% — a failing test on a 95% spec, and a truck goes back over it. In imperial work a 95% requirement on a 118 pcf Proctor means at least 0.95 × 118 = 112.1 pcf in the ground.

The trap is which Proctor. Standard (ASTM D698, 12 400 ft·lbf/ft³) and modified (D1557, 56 250 ft·lbf/ft³) give maximum dry densities that can differ by 10 pcf or more, so 95% of the wrong one is a different fill entirely. The second trap is the "wrong Proctor curve": one maximum belongs to one material, and the moment the borrow pit changes soil, the reference curve must too — the classic dispute where a contractor is failing tests on a perfectly good silt because the file curve came from the sand next door. Values above 100% are common and legitimate, not an error.

Relative Compaction (Percent Proctor) formula

R=γd,fieldγd,max×100R = \frac{\gamma_{d,field}}{\gamma_{d,max}}\times 100
Where
  • RR= Relative compaction (%)
  • γd,field\gamma_{d,field}= Field dry unit weight (kN/m³)
  • γd,max\gamma_{d,max}= Maximum dry unit weight (kN/m³)

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