MENTAL MODEL · M9065

Tolerance Analysis

SystemsHigh supportSystems Theory

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Updated 2026-08-15

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INTRODUCTION

English translation pending.

CORE DEFINITION

Tolerance analysis examines how the permitted variations of individual components combine along a chain of related dimensions and whether the total stays inside the allowable range for the assembly or system. It uses worst-case addition, root-sum-square statistics, or Monte Carlo simulation depending on the confidence required. The qualification is that each method assumes a different distribution of variation, so the model chosen must match how the parts are actually produced.

SCAFFOLDING EFFECT

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Reduce cognitive load

- Use Chain Mapping: identify which dimensions and parameters combine into the overall result. - Use Stacking Model Choice: select worst-case or statistical addition according to the risk acceptable.

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Anchor fast decisions

Each component stays inside its own specification, yet the assembly result is the sum of those deviations. When the sum exceeds the allowance, parts that all passed inspection fail together, so the tolerance of the whole must be computed rather than inferred from the tolerance of the parts.

MINIMUM ACTION

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Practice this model in one real situation:

Map the chain of dimensions that combine into the result. 2. Choose among worst-case, statistical, or simulation stacking methods. 3. Compute the accumulated variation across the whole chain. 4. Compare that total with the overall allowance for the assembly. 5. Tighten the components that contribute most or redesign the chain.

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Source support: Explicit

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en.wikipedia.orghttps://en.wikipedia.org/wiki/Tolerance_analysisZH · Explicit
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