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Soil testing guide

The Proctor test: how it works and how to read the curve

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Key takeaways

  • Wet density (pcf) = (net wet mass g ÷ 453.592) ÷ mold volume ft³; dry = wet ÷ (1 + w/100).
  • Fit a 2nd-order curve for 3 points and a 3rd-order curve for 4 or more; the peak is MDD.
  • If the peak sits at the edge of the data, add a point on that side instead of reporting it.
  • No real point should plot on or above the zero air voids line.

Try it: proctor curve calculator

The same calculator as the free tool. Runs in your browser; nothing is saved.

Open the full proctor curve calculator page

Every field compaction result is a comparison, and the Proctor test supplies the number it is compared against. Compact the same soil at several moisture contents with a fixed amount of effort, plot dry density against moisture, and the peak of that curve gives the maximum dry density (MDD) and optimum moisture content (OMC). Nuclear gauge and sand cone results are then reported as a percentage of that MDD. If the Proctor is wrong, every compaction test that references it is wrong too, which is why it deserves careful attention in a small lab.

What is a Proctor test?

The test establishes how dense a particular soil can get under a defined compactive effort, and at what moisture that happens. Earthwork specifications usually require field density to reach a stated percentage of the laboratory maximum, often with a moisture window around optimum. The Proctor result is the reference for both.

There are two common procedures: Standard (ASTM D698) and Modified (ASTM D1557). They differ in compaction energy, and the project specification decides which one applies. A separate guide compares them.

Moisture-density curveDry density rises to a peak at optimum moisture and falls on the wet side, below the zero air voids line.Moisture content, %Dry density, pcfZero air voidsMDDOMC
A moisture-density curve: the fitted peak gives MDD and OMC, and the zero air voids line sits above every valid point.

What equipment does a Proctor test need?

A mold of known volume (the 4-in mold is 1/30 ft³ and the 6-in mold is 0.075 ft³), a rammer of the mass and drop height for the method, a collar, a straightedge, a balance, moisture cans and a drying oven, and sieves to prepare the material. The mold volume should be verified rather than assumed; it goes straight into every density.

How is a Proctor test performed?

Prepare the soil as the method requires and split it into portions. Bring each portion to a different moisture content so the points cover both sides of the expected optimum. Compact each portion in the mold in the required number of layers with the required number of blows, trim it flush, and weigh the mold and soil. Take a moisture sample from the compacted specimen and dry it.

For each point you end up with three numbers: mass of mold plus wet soil, mass of mold, and moisture content. Those are enough to calculate a point on the curve.

How do you calculate dry density for each point?

Net wet mass is the mold plus soil minus the mold. Wet density in pcf is the net wet mass in grams divided by 453.592 (to get pounds) and then divided by the mold volume in cubic feet. For the 1/30 ft³ mold that is the same as multiplying the net grams by about 0.06614. Dry density is the wet density divided by (1 + w/100), where w is the moisture content in percent.

Report densities to 0.1 pcf and moisture to 0.1 %, but keep full precision in the calculations underneath.

How do you find optimum moisture content and MDD from the curve?

Plot dry density against moisture and fit a smooth curve. A least-squares fit is a reliable way to do this: second order when you have three points, third order when you have four or more. The highest point of the fitted curve is the MDD, and the moisture at that peak is the OMC.

Check where the peak falls. If it lands at the driest or wettest point you tested, the true maximum may lie outside your data. The right response is to add a point on that side, not to report the edge value. Also draw the zero air voids line, γd = (Gs × 62.4) ÷ (1 + (w/100) × Gs). It shows the highest dry density physically possible at each moisture for an assumed specific gravity Gs. Real points sit below it. A point on or above the line points to a weighing error, a moisture error, or a Gs that is too low for the material.

The wet side of the curve tends to run roughly parallel to the zero air voids line. A wet-side point that drifts toward or across the line is another sign to recheck the data.

What formulas are used?

  1. 01Wet density (pcf) = (net wet mass g ÷ 453.592) ÷ mold volume (ft³); for 1/30 ft³ ≈ net g × 0.06614
  2. 02Dry density = wet density ÷ (1 + w/100)
  3. 03Fit: 2nd order for 3 points, 3rd order for 4+; peak = MDD, moisture at peak = OMC
  4. 04Zero air voids γd = (Gs × 62.4) ÷ (1 + (w/100) × Gs)

What does a worked example look like?

Inputs

One point in the 4-in mold (1/30 ft³): mold plus wet soil 3,900 g, mold 2,000 g, moisture 12.0 %. Specific gravity for the zero air voids line: 2.70.

Result

Net wet mass 1,900 g. Wet density 125.7 pcf. Dry density 112.2 pcf. Zero air voids at 12.0 % moisture: 127.3 pcf, so the point sits 15.1 pcf below the line, as it should.

Calculated by the same tested functions as the ProofGrit free calculators.

How is the Proctor result used in the field?

Field density tests compare in-place dry density with the Proctor MDD for the same material. Percent compaction is dry density ÷ MDD × 100. A specification might also set a moisture window around OMC, so the OMC is used as well. Both numbers travel with the Proctor's lab number, the method and the material description.

If the fill changes, the reference should change too. A Proctor run on one soil type does not describe a different borrow source, even if it looks similar. Matching every field test to the right Proctor is one of the main record-keeping jobs of a soils lab.

What are the most common Proctor test mistakes?

All points on one side of optimum. Without a bracketed peak, the curve is guessing.

Assuming a mold volume instead of verifying it.

Taking the moisture sample from the leftover loose soil instead of the compacted specimen.

Reporting a peak at the edge of the data.

Ignoring a point above the zero air voids line rather than investigating it.

Which standards cover the Proctor test?

ASTM D698 covers Standard Proctor and ASTM D1557 covers Modified Proctor. AASHTO publishes its own compaction methods, T 99 and T 180, which many state DOT specifications reference. Field tests that use the Proctor include ASTM D6938 (nuclear gauge) and ASTM D1556 (sand cone).

See the standards index for every standard covered on this site.

Standard and Modified Proctor at a glance
ItemStandard (ASTM D698)Modified (ASTM D1557)
Rammer5.5 lb10 lb
Drop12 in18 in
Layers35
Blows per layer25 (4-in mold), 56 (6-in mold)25 (4-in mold), 56 (6-in mold)

Frequently asked questions

How many points does a Proctor curve need?

At least three for a fit, and four or more for a better one. Aim to have points clearly on both the dry and wet side of the peak.

What Gs should I use for the zero air voids line?

A measured specific gravity for the material if you have one. Calculators commonly default to 2.70 as a starting point, but a measured value is better.

Can I override the fitted MDD?

Some labs do when the fit is clearly distorted, but an override should always come with a written reason that a reviewer can see.

Why does my curve have no clear peak?

Usually because all points fall on one side of optimum. Add points at drier or wetter moisture contents and refit.

Is the Proctor the same as a field density test?

No. The Proctor is a laboratory reference. Field tests such as the nuclear gauge or sand cone measure the compacted fill and compare it with the Proctor.

How ProofGrit helps

The free ProofGrit Proctor curve calculator accepts points as masses or as wet densities, fits the curve with the second or third order rule above, reports MDD and OMC, draws the zero air voids line for your Gs, and warns about edge peaks and points above the line. It runs in the browser and does not save your data.

This guide is a plain-English summary. Always follow the current standard and your project specifications.