Proctor Optimum Check

Extract actual sampled Proctor density maxima/ties, not an assumed interpolated optimum or compaction approval. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.

Description

A sampled Proctor comparison identifies the highest submitted dry-density point.

A sampled Proctor comparison identifies the highest submitted dry-density point.1

A sampled maximum is distinct from a fitted continuous optimum or a verified laboratory standard procedure. Use this tool to calculate proctor Optimum Check from the supplied measurements and assumptions.

When to use Proctor Optimum Check

Use this tool to calculate proctor Optimum Check from the supplied measurements and assumptions. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.

How to use Proctor Optimum Check and understand its results

  1. Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
  2. Enter measuredMoistureFractions, measuredDryDensitiesKgM3, observedFieldMoistureFraction, using the field meanings and rules below, then run the tool.
  3. Read bestObservedMoistureFractions, maximumObservedDryDensityKgM3, signedFieldMoistureMinusBest. Interpret the fields using their units, signs and evidence conventions below.
  4. If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
Input fieldMeaningValue typeRequirement
measuredMoistureFractionsMeasured moisture fractionslist of numberRequired
measuredDryDensitiesKgM3Measured dry densities kg m3list of numberRequired
observedFieldMoistureFractionObserved field moisture fractionnumberRequired

Enter strictly increasing sampled moisture fractions in [0,1], aligned positive dry densities and field moisture in [0,1]. Return all samples with the maximum density, that density and field minus each best moisture fraction. No fitted continuous optimum or compaction acceptance rule is installed.

bestMoistures={w_i:density_i=maxDensity}; differences=fieldMoisture−bestMoistures

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
bestObservedMoistureFractionsBest Observed Moisture Fractions; follow the units, sign, ordering and evidence convention stated abovelist of number
maximumObservedDryDensityKgM3Maximum Observed Dry Density Kg M3; follow the units, sign, ordering and evidence convention stated abovenumber
signedFieldMoistureMinusBestSigned Field Moisture Minus Best; follow the units, sign, ordering and evidence convention stated abovelist of number
json
{
  "input": {
    "measuredMoistureFractions": [
      0.1,
      0.2,
      0.3
    ],
    "measuredDryDensitiesKgM3": [
      1000,
      1200,
      1100
    ],
    "observedFieldMoistureFraction": 0.22
  },
  "output": {
    "bestObservedMoistureFractions": [
      0.2
    ],
    "maximumObservedDryDensityKgM3": 1200,
    "signedFieldMoistureMinusBest": [
      0.01999999999999999
    ]
  }
}

Limitations and assumptions

A sampled maximum is distinct from a fitted continuous optimum or a verified laboratory standard procedure. Interpretation depends on the units, sampling scope and exact model described above.

All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.

Alternative or Complementary methods

Use Immediate Foundation Settlement Calculator for this related task: Immediate elastic settlement depends on pressure, footing width and a soil stiffness model.

Use Pavement Rutting Model Calculator when its separate inputs and assumptions fit the question: Layer rutting can be modeled by multiplying thickness by permanent strain.

References

  1. Proctor Optimum Check — tool.io

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