True Position Calculator
Calculate diametrical position error from measured coordinates. Enter deviations or actual coordinates, select material condition (RFS / MMC / LMC), and get instant pass/fail verdicts for ASME Y14.5 GD&T position tolerances.
Position Tolerance Calculator
Enter deviations or coordinates to compute true position.
True Position = 2 × √(ΔX² + ΔY²) = 0.108 mm
True Position: Multi-Mode Calculator
Calculate true position from coordinate deviations, actual coordinates, or with MMC/LMC bonus tolerance using three different input modes.
TP = 2 × √(0.045² + 0.030²) = 0.108 mm | Total allowed = 0.330 mm | 32.8% used
How to Calculate True Position
True position is computed from the radial distance between the nominal target and the actual measured point, multiplied by 2 to convert to the diametrical zone that GD&T specifies.
Worked Example: MMC Bonus Calculation
A drawing calls for a hole at nominal position X = 25.0 mm, Y = 40.0 mm, with a position tolerance of Ø 0.15 Ⓜ (at MMC). The hole’s MMC size is 10.0 mm, and the actual hole measures 10.18 mm. The CMM reports the hole center at X = 25.045 mm, Y = 39.970 mm.
Material Conditions Explained
Maximum Material Condition Ⓜ
For a hole, MMC is the smallest diameter. Bonus = actual Ø − MMC Ø. A hole drilled larger earns bonus tolerance. This is the most cost-effective modifier for production parts.
Bonus = Actual − MMCRegardless of Feature Size
No symbol means RFS. The position tolerance is fixed and does not change with feature size. This is the default per ASME Y14.5 and the most conservative condition.
No bonus toleranceLeast Material Condition Ⓛ
For a hole, LMC is the largest diameter. Bonus applies when the hole is smaller than LMC. Used when minimum wall thickness or edge distance is critical.
Bonus = LMC − ActualWhy GD&T Position Beats ± Tolerancing
A Ø position tolerance creates a circular zone with about 57% more area than an equivalent ± square zone. More parts pass inspection.
A hole drilled oversize earns bonus tolerance on top of the circular zone. Combined effect can double or triple acceptable position error.
GD&T position controls the cylindrical clearance zone that actually matters for assembly. ± tolerances do not reflect the true functional requirement.
True Position in CNC Inspection
True position is the most commonly inspected GD&T characteristic in CNC machining because it directly controls whether parts assemble correctly. Here is how it fits into the inspection process.
A CMM probes the feature at multiple points, computes a best-fit circle, and reports the center coordinates. The ΔX and ΔY values go directly into the true position formula. For First Article Inspection (FAI) per AS9102 or PPAP, every position callout must be reported with nominal, measured, deviations, computed true position, bonus, and pass/fail status.
CMM Measurement
A Coordinate Measuring Machine probes the feature at multiple points, computes a best-fit circle, and reports center coordinates. The ΔX and ΔY values feed directly into the true position formula.
- Multi-point probing
- Best-fit circle calculation
- Direct ΔX / ΔY output
First Article Inspection
Per AS9102 (aerospace) or PPAP (automotive), the FAI report must list every position callout with nominal, measured, ΔX/ΔY, computed true position, bonus, total allowed, and pass/fail status.
- AS9102 compliant reporting
- Full traceability
- Every feature documented
Process Monitoring
Inspectors flag results above 80% of tolerance as requiring process attention, tool wear or fixture drift may push the next part over the line. Continuous monitoring reduces scrap.
- Trend analysis
- Tool wear detection
- Process capability tracking
What Passes Audit: The 80% Rule
A true position result at 95% of the allowed tolerance technically passes, but seasoned engineers flag anything above 80% as requiring process attention. Measurement uncertainty, tool wear, or fixture drift may push the next part over the line. For production runs, target position error below 60% of tolerance to maintain robust process capability and avoid first-article rejection.
True Position FAQs
True position is a geometric tolerance defined in ASME Y14.5 that controls the location of a feature, typically a hole, slot, boss, or pin, relative to specified datums. It is expressed as a diametrical tolerance zone (preceded by the Ø symbol) within which the feature’s center must lie. True position is calculated as 2 × √(ΔX² + ΔY²), converting the radial deviation into the diametrical value that is compared against the Ø tolerance in the feature control frame.
True position = 2 × √(ΔX² + ΔY²), where ΔX and ΔY are the measured deviations from the nominal target in X and Y. If you have coordinates rather than deviations, ΔX = measured X − nominal X. For 3D true position (including the Z-axis), the formula extends to 2 × √(ΔX² + ΔY² + ΔZ²). The result is a diametrical value that you compare directly to the Ø tolerance in the feature control frame.
MMC bonus tolerance is additional position tolerance earned when a feature’s actual size deviates from its Maximum Material Condition. For a hole at MMC (smallest allowable diameter), bonus = actual hole diameter − MMC diameter. A 10.0 mm MMC hole that actually measures 10.2 mm earns 0.2 mm of bonus tolerance. Combined with the stated position tolerance, the total allowed can be substantially larger than the number printed in the feature control frame. Bonus tolerance under MMC is the single most cost-reducing concept in GD&T for CNC machined parts.
RFS (Regardless of Feature Size, no symbol in the feature control frame) means the position tolerance is fixed, the feature gets no bonus regardless of its actual size. MMC (Maximum Material Condition, Ⓜ symbol) awards bonus tolerance when the feature deviates from its maximum-material extreme: a hole larger than MMC, or a shaft smaller than MMC. LMC (Least Material Condition, Ⓛ symbol) awards bonus when the feature deviates from its least-material extreme. RFS is the default and most conservative; MMC is the most commonly specified on production parts for cost reduction; LMC is used when minimum wall thickness or edge distance controls the design.
Yes, but you will scrap more parts. ± coordinate tolerancing creates a square zone. GD&T position creates a circular (cylindrical) zone of equivalent functional fit that is about 57% larger in area. A hole that falls in the corner of the square zone, within both ± limits, can still be outside the cylindrical position zone at the same nominal tolerance value. Conversely, GD&T position accepts parts in the corners of its cylindrical zone that would fail ± inspection. GD&T position is the functionally correct callout for assembly-critical features and almost always reduces manufacturing cost compared to equivalent ± tolerances.
A standard CNC machining process can routinely hold position tolerances of Ø0.1 mm (0.004″) to Ø0.2 mm (0.008″) at RFS. With MMC on holes, the bonus tolerance often adds another 0.05–0.15 mm of allowance, making these callouts comfortably achievable in production. Tolerances of Ø0.05 mm (0.002″) and tighter require precision fixturing, temperature-controlled inspection, and in many cases, boring or jig grinding rather than standard drilling, significantly increasing cost. For position tolerances tighter than Ø0.05 mm, consult your machine shop during design to confirm feasibility before releasing the drawing.
From Callout to Certified Part
When your drawing is dimensioned, toleranced, and ready for production, Baetro machines your parts to the position tolerances on your print and verifies every feature with in-house CMM inspection. Upload your CAD file for an instant quote with live pricing and free DFM review.
In-house CMM inspection
±0.001″ tolerance capability
AS9102 FAI available
