Probability interval of shaft diameter tolerances

Converts a uniform manufacturing tolerance field into an equivalent normal-distribution tolerance interval at a chosen confidence level.

✓ validated against legacyoriginal: /calculators/c1_2.htm
Probability interval of shaft diameter tolerances — original diagram from /calculators/c1_2.htm
z-value1.6445
Tolerance interval, ±T, with R% probability0.01096328228776301 mm

Method & references

  • Uniform-to-normal tolerance interval conversion (uniform distribution approximated by a ±3σ interval).

The computation is a literal port of the original client-side JavaScript from /calculators/c1_2.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Probability interval of shaft diameter tolerances — Engineering ABC