RSS Tolerance Stack Calculator
Sensitivity-weighted independent standard-deviation RSS, not worst-case tolerances or assumed confidence interval. 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
Root-sum-square stacking combines independent standard-deviation contributions.
Root-sum-square stacking combines independent standard-deviation contributions.1
It requires a statistical interpretation of each input rather than treating every drawing tolerance as one standard deviation. Use this tool to calculate RSS Tolerance Stack from the supplied measurements and assumptions.
When to use RSS Tolerance Stack Calculator
Use this tool to calculate RSS Tolerance Stack 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 RSS Tolerance Stack Calculator and understand its results
- Establish the SI units or caller unit basis, load signs, measurement interval, model conditions and independently chosen coefficients or references.
- Enter signedSensitivityCoefficients, dimensionStandardDeviations, callerIndependenceVerified, using the field meanings and rules below, then run the tool.
- Read rssStackStandardDeviation. Interpret the fields using their units, signs and evidence conventions below.
- 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 field | Meaning | Value type | Requirement |
|---|---|---|---|
| signedSensitivityCoefficients | Signed sensitivity coefficients | list of number | Required |
| dimensionStandardDeviations | Dimension standard deviations | list of number | Required |
| callerIndependenceVerified | Caller independence verified | boolean | Required |
Enter nonempty aligned finite sensitivities and nonnegative standard deviations, plus an explicit independently established independence boolean true. False fails. Return the Euclidean norm of sensitivity×standardDeviation contributions, without a coverage multiplier or nominal stack value.
stackStandardDeviation=hypot(sensitivity_i×standardDeviation_i) Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| rssStackStandardDeviation | Rss Stack Standard Deviation; follow the units, sign, ordering and evidence convention stated above | number |
{
"input": {
"signedSensitivityCoefficients": [
1,
-1
],
"dimensionStandardDeviations": [
3,
4
],
"callerIndependenceVerified": true
},
"output": {
"rssStackStandardDeviation": 5
}
}Limitations and assumptions
It requires a statistical interpretation of each input rather than treating every drawing tolerance as one standard deviation. 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 Worst-Case Tolerance Stack Calculator for this related task: Worst-case tolerance stacking propagates each signed sensitivity over its allowed deviation interval.
Use Weibull Modulus Calculator when its separate inputs and assumptions fit the question: A Weibull probability plot relates transformed cumulative probabilities to logarithmic strength.
References
-
RSS Tolerance Stack Calculator — tool.io
Similar or alternative tools
- Worst-Case Tolerance Stack Calculator
Worst-case tolerance stacking propagates each signed sensitivity over its allowed deviation interval.
- Weibull Modulus Calculator
A Weibull probability plot relates transformed cumulative probabilities to logarithmic strength.