Tolerance chain dimensioning
Worst-case, root-sum-square and probabilistic combination of a three-link tolerance chain (B, C, D) at a chosen reliability R.

σ0.1 mm
z-value2.328
Worst-case value of A0.5 mm
(B²+C²+D²)^0.50.3 mm
Probabilistic value of A0.2328 mm
Method & references
- Tolerance chain dimensioning — worst-case vs. root-sum-square vs. probabilistic stack-up.
The computation is a literal port of the original client-side JavaScript from /calculators/p1_1.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.