Volumetric Shrinkage Calculator

Extract actual three-axis volume shrinkage, not sum of radial/tangential strains or assumed isotropic coefficient. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

Volumetric wood shrinkage compares dry and green specimen volumes under specified conditions.

Volumetric wood shrinkage compares dry and green specimen volumes under specified conditions.1

Three-dimensional measurements retain anisotropy in the volume product, and expansion would produce a negative signed shrinkage. Use this tool to calculate volumetric shrinkage from the supplied measurements and assumptions.

When to use Volumetric Shrinkage Calculator

Use this tool to calculate volumetric shrinkage from the supplied measurements and assumptions. Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.

How to use Volumetric Shrinkage Calculator and understand its results

  1. Establish the species/site, survey protocol, units, sampled area or exposure, and the independently chosen reference or model.
  2. Enter observedGreenDimensionsMm, observedDryDimensionsMm, using the field meanings and rules below, then run the tool.
  3. Read observedVolumetricShrinkageFractions. 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
observedGreenDimensionsMmObserved green dimensions mmlist of list of numberRequired
observedDryDimensionsMmObserved dry dimensions mmlist of list of numberRequired

Enter aligned matrices of green and dry dimensions with exactly three positive length measurements per row. Multiply each row to obtain volume on one consistent unit basis, then return 1−dryVolume/greenVolume. The result is a fraction, not a percentage; larger dry volume produces a negative value and is not rejected.

shrinkageFraction_i=1−product(dryDimensions_i)/product(greenDimensions_i)

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

Output fieldMeaningValue type
observedVolumetricShrinkageFractionsObserved Volumetric Shrinkage Fractions; follow the units, sign, ordering and evidence convention stated abovelist of number
json
{
  "input": {
    "observedGreenDimensionsMm": [
      [
        10,
        20,
        30
      ],
      [
        20,
        20,
        20
      ]
    ],
    "observedDryDimensionsMm": [
      [
        9,
        18,
        27
      ],
      [
        20,
        20,
        20
      ]
    ]
  },
  "output": {
    "observedVolumetricShrinkageFractions": [
      0.271,
      0
    ]
  }
}

Limitations and assumptions

Three-dimensional measurements retain anisotropy in the volume product, and expansion would produce a negative signed shrinkage. 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 Tangential Shrinkage Calculator for this related task: Tangential shrinkage compares dimensions measured along the tangential wood direction.

Use Radial Shrinkage Calculator when its separate inputs and assumptions fit the question: Radial shrinkage compares dimensions along the radial wood direction.

References

  1. Volumetric Shrinkage Calculator — tool.io

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