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Product Stackup One Tolerance Contribution Tool

Calculate product stackup one tolerance contribution from explicit caller-supplied inputs.

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Description

Multiply nonnegative halfTolerance by abs(sensitivity) for worstCaseContribution and square sensitivity × halfTolerance for squaredRssContribution.

A tolerance allowance bounds a geometric variation under a declared sensitivity and combination rule. Worst-case bounds and statistical root-sum-square terms need different assumptions.

Multiply nonnegative halfTolerance by abs(sensitivity) for worstCaseContribution and square sensitivity × halfTolerance for squaredRssContribution.

When to use this tool

Use Product Stackup One Tolerance Contribution when you need one explicit tolerance contribution or worst-margin calculation.

How to use the tool and how it works

  1. Enter sensitivity, halfTolerance. 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 worstCaseContribution, squaredRssContribution. Use the output convention below.

Multiply nonnegative halfTolerance by abs(sensitivity) for worstCaseContribution and square sensitivity × halfTolerance for squaredRssContribution.1

Input fieldMeaning and unitsAccepted input
sensitivitySensitivityRequired. Finite number.
halfToleranceHalf ToleranceRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
worstCaseContributionWorst Case ContributionRequired. Finite number.
squaredRssContributionSquared sensitivity-times-half-tolerance contribution; statistical assumptions are separate.Required. Finite number.
json
{
  "input": {
    "sensitivity": 2,
    "halfTolerance": 0.1
  },
  "output": {
    "worstCaseContribution": 0.2,
    "squaredRssContribution": 0.04000000000000001
  }
}

Limitations and assumptions

  • Sensitivity converts input variation to the output basis; a half-tolerance is not automatically a standard deviation and statistical RSS needs justified distributions and independence.
  • 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

Build the complete tolerance model and justify distributions, dependencies, and operating conditions before using an aggregate limit.

References

  1. Calculation and input contract: industrial-design/product-stackup-one-tolerance-contribution — tool.io

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