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True position calculator

Check a single circular feature in two dimensions after alignment to its datum reference frame. This does not evaluate axis tilt or datum shift.

Calculator

Diametrical position error
0.0001
Bonus tolerance
0
Total permitted position tolerance
0.0001
Remaining position tolerance (negative means excess)
0
Position check
Within the supplied position tolerance

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How this calculator works

Coordinate offsets define a radial distance from the basic location. Doubling that distance gives the diameter of the centred tolerance zone needed to contain the feature centre. MMC or LMC adds departure from the specified material boundary. Size limits remain independent requirements.

Formula

position = 2 sqrt[(Xactual-Xbasic)^2 + (Yactual-Ybasic)^2]; allowed = drawing tolerance + bonus. Hole MMC bonus = actual-minimum; shaft MMC bonus = maximum-actual; LMC uses the opposite boundary.

Worked example

Offsets of 0.03 mm and 0.04 mm give a 0.10 mm diametrical error. A hole from 10.00 to 10.20 mm measured at 10.10 mm adds 0.10 mm MMC bonus to the stated position tolerance.

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Frequently asked questions

Why multiply the coordinate error by two?

The radial centre offset must be expressed as the diameter of the tolerance zone.

Can bonus tolerance excuse an oversized hole?

No. A feature outside its size limits is rejected before position bonus is calculated.

Does this implement the whole GD&T standard?

No. Complex datum modifiers, projected zones, composite position and orientation along the full axis need a complete inspection method.

Sources

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