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Thermal Contraction Fit Residual Tool

Compare a supplied integrated contraction fraction with a measured bench length; negative contraction denotes expansion.

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Description

Compare measured final length with a supplied fractional-contraction model.

Cryogenic engineering calculations require compatible pressure, temperature, material and geometry conventions. A local heat-load, composition or contraction term assumes supplied properties and does not establish a safe system or complete thermodynamic state.

Compare measured final length with a supplied fractional-contraction model.

When to use this tool

Use Thermal Contraction Fit Residual when checking one supplied cryogenic measurement, material or load contribution.

How to use the tool and how it works

  1. Enter initialLength, suppliedFractionalContraction, measuredFinalLength. 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 predictedFinal, residual. Use the output convention below.

Compare measured final length with a supplied fractional-contraction model. Require nonnegative initial/final lengths and contraction <= 1; predictedFinal = initial*(1-contraction), residual = measured-predicted.1

Input fieldMeaning and unitsAccepted input
initialLengthInitial LengthRequired. Finite number; minimum 0.
suppliedFractionalContractionSigned supplied contraction fraction; negative values represent expansion under this model.Required. Finite number; maximum 1.
measuredFinalLengthMeasured Final LengthRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
predictedFinalPredicted FinalRequired. Finite number.
residualSigned difference in the direction defined above, using the same units as its compared quantities.Required. Finite number.
json
{
  "input": {
    "initialLength": 100,
    "suppliedFractionalContraction": 0.01,
    "measuredFinalLength": 98
  },
  "output": {
    "predictedFinal": 99,
    "residual": -1
  }
}

Limitations and assumptions

  • Negative contraction represents expansion and is allowed; no material property, temperature integration or fit safety is inferred.
  • 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. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified material properties and a complete qualified engineering assessment for practical cryogenic design, handling and operation.

References

  1. Calculation and input contract: cryogenics/thermal-contraction-fit-residual — tool.io

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