True Position Calculator

Free True Position Calculator — compute GD&T positional tolerance from measured X, Y (and optional Z) deviations against the basic location.

808.1K uses Updated · 2026-05-11 Runs locally · zero upload
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How to Use True Position Calculator

The True Position Calculator matches the typical CMM workflow.

  1. Choose 2D or 3D — Most position callouts are 2D (X, Y). Use 3D for spherical zones.
  2. Enter basic location — The nominal coordinates from the drawing.
  3. Enter measured location — The actual coordinates from your inspection report.
  4. Enter tolerance — The position tolerance from the feature control frame.
  5. (Optional) Enter MMC bonus — Add bonus if a material condition modifier applies.
  6. Read the result — True position, deviation, allowed tolerance and pass / fail.

Formula & Theory — True Position Calculator

The True Position Calculator implements the standard ASME Y14.5 formula:

ΔX  = X_actual - X_basic
ΔY  = Y_actual - Y_basic
ΔZ  = Z_actual - Z_basic   (3D only)
TP  = 2 × √(ΔX² + ΔY² + ΔZ²)
Pass if TP ≤ Tolerance + Bonus
SymbolMeaning
ΔX/Y/ZDeviation from basic dimension
TPTrue position value (zone diameter)
BonusMMC / LMC bonus tolerance

Position vs concentricity

True position is the modern, default replacement for older callouts such as concentricity and symmetry because it works with virtual condition and allows bonus tolerance.

Use Cases for True Position Calculator

  • CMM inspection — Translate raw deviations into the GD&T-compliant zone value.
  • First article inspection — Generate quick pass / fail decisions on AS9102 or PPAP reports.
  • Engineering review — Verify whether a borderline feature actually passes after MMC bonus.
  • Quality training — Teach the difference between deviation and zone diameter.
  • Reverse engineering — Quantify how far a “good” sample drifts from nominal.
  • Documentation — Capture the calculation in inspection reports without manual arithmetic errors.

The True Position Calculator removes a frequent source of inspection mistakes and ensures consistent reporting across teams.

Frequently asked questions about True Position Calculator

How does the True Position Calculator work?

It computes the deviation from the basic location, then applies the GD&T formula: TP = 2 × √(ΔX² + ΔY² + ΔZ²). The calculator compares TP with the tolerance to give a pass / fail verdict.

Why multiply by 2?

Position tolerance defines a cylindrical (or spherical) tolerance zone. The tolerance value is the diameter of that zone, so the radial deviation is multiplied by 2 to compare against it directly.

Can I include MMC bonus?

Yes. Enter the actual feature size and material condition modifier to add a bonus tolerance to the allowable. The True Position Calculator handles that adjustment.

Is my data stored?

No. All calculations happen in your browser; nothing is sent to a server.