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Prop Resin Cast Volume Shrink Term Tool

Uniform isotropic linear retention model; mold volume compensates its cube.

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Description

Uniform isotropic linear retention model; mold volume compensates its cube.

A production plan combines stage geometry, cue times, movement distances, material dimensions, and explicit scheduling or accounting rules. Signed margins reveal surplus or deficit under the chosen model. Physical clearances, execution variability, and governing requirements can require checks beyond one arithmetic term.

Uniform isotropic linear retention model; mold volume compensates its cube.

When to use this tool

Use Prop Resin Cast Volume Shrink Term when you need this specific stage, cue, material, timing, count, or fee term under supplied production assumptions.

How to use the tool and how it works

  1. Enter finishedVolume, linearRetention. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read moldVolume, excessVolume. Use the output convention below.

For nonnegative finishedVolume and linearRetention in (0,1] return moldVolume=finishedVolume/linearRetention^3 and excessVolume=moldVolume-finishedVolume.1

Input fieldMeaning and unitsAccepted input
finishedVolumeFinished VolumeRequired. Finite number; minimum 0.
linearRetentionRetained linear dimension fraction in (0,1], cubed for volume.Required. Finite number; maximum 1; strictly above 0.
Output fieldInterpretationReturned shape
moldVolumeMold VolumeRequired. Finite number.
excessVolumeExcess VolumeRequired. Finite number.
json
{
  "input": {
    "finishedVolume": 64,
    "linearRetention": 0.8
  },
  "output": {
    "moldVolume": 124.99999999999997,
    "excessVolume": 60.99999999999997
  }
}

Limitations and assumptions

  • LinearRetention is the dimensionless fraction remaining on each axis, not a volumetric shrinkage percentage. The model assumes uniform isotropic shrinkage and does not specify resin chemistry, handling safety, or actual cure performance.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Signed zero is exported as zero.

Alternative or Complementary methods

Use a complete production schedule or equipment/layout assessment when one margin is insufficient. Check units, timing conventions, tolerances, and physical constraints before combining terms.

References

  1. Calculation and input contract: performing-arts/prop-resin-cast-volume-shrink-term — tool.io

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