GD&T True Position: Formula, Bonus Tolerance & CMM Check

True Position in Geometric Dimensioning and Tolerancing (GD&T) defines a 2D circular or 3D cylindrical tolerance zone within which the center axis or center point of a feature is permitted to vary.

Engineering Specifications & Parameters

Symbol ⌖ True Position
Datum Reference Requires primary, secondary, and tertiary datums (e.g. |A|B|C|)
Tolerance Zone Shape Cylindrical (Diameter ⌀)
Verification Instrument Coordinate Measuring Machine (CMM) or Optical Gauge

True Position Formula

$$\text{Position Deviation } = 2 \times \sqrt{(\Delta X)^2 + (\Delta Y)^2}$$

Maximum Material Condition (MMC)

When the modifier Ⓜ (MMC) is applied, any deviation of the hole size from its smallest allowable diameter generates bonus tolerance, expanding the allowable position error without sacrificing functional assembly.

Frequently Asked Questions

How does bonus tolerance work with True Position at MMC?

If a hole specified as 10.0 (+0.2/-0.0) is machined at 10.2mm, it gains 0.2mm of bonus tolerance added directly to the allowable true position zone.