GD&T Calculator: Geometric Dimensioning & Tolerancing Guide
GD&T (Geometric Dimensioning and Tolerancing) is an international symbolic language used in engineering drawings to define part geometry and tolerances. Following ASME Y14.5 and ISO 1101 standards, calculating true position, flatness, circularity, concentricity and bonus tolerance is at the core of quality control.
π How to Use This Calculator
- Select the GD&T characteristic, True Position, Flatness, Circularity, Concentricity or Cylindricity.
- Enter the feature's nominal and actual measured coordinates.
- Specify the geometric tolerance zone value and datums.
- View true deviation, bonus tolerance (MMC/LMC) and pass/fail status results.
π Formula & Working Principle
True Position = 2 Γ β((ΞX)Β² + (ΞY)Β²) (add ΞZΒ² for 3D). Bonus Tolerance = Feature tolerance + |Actual Size β MMC size|. Total Tolerance = Geometric tolerance + Bonus tolerance.
π‘ Worked Example
Hole nominal position: X=50, Y=30. Actual: X=50.3, Y=30.2. Deviation = 2Γβ(0.3Β²+0.2Β²) = 2Γ0.361 = 0.72 mm. If Γ0.5 tolerance specified: 0.72 > 0.5 β FAIL.
β Frequently Asked Questions (FAQ)
Q: What are MMC and LMC?
MMC (Maximum Material Condition), smallest hole, largest shaft. LMC (Least Material Condition), the opposite. The MMC modifier allows bonus tolerance while maintaining interchangeability.
Q: What is a datum?
A datum is a theoretically exact reference plane, axis or point from which features are located. A datum simulator (gauge, plate) is used during part inspection.
Q: What is the difference between True Position and Concentricity?
True Position measures the axis relative to its nominal location (via CMM). Concentricity checks the locus of median points of diametrically opposite surfaces, now largely obsolete, with True Position or Coaxiality preferred.
Q: Does GD&T allow more or fewer tolerances?
GD&T typically allows more tolerance (realistic and functional), coordinate tolerancing misses the diagonal direction of a circular zone, whereas GD&T uses the full cylindrical tolerance zone.
Q: How is GD&T inspection done on a CMM?
Touch datum features with the CMM probe β establish the coordinate system β measure target features β the software automatically reports any GD&T violations.