Perpendicularity (GD&T)

Perpendicularity is a GD&T orientation control that keeps a surface, axis or centre plane at exactly 90° to a datum. For a surface the zone is two parallel planes square to the datum; for a hole or pin axis it is usually a cylinder, and it can take MMC for bonus tolerance.

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At a glance

Group
Orientation
Datum
Required
Modifiers
MMC/LMC on axis; Ⓣ; Ⓟ

What it controls

On a face, perpendicularity is squareness: the face must fit between two parallel planes that are at 90° to datum A and the tolerance apart. It also limits the flatness of the face.

On a hole or pin, the frame sits under the diameter dimension and controls the axis. The zone is a cylinder, perpendicular to the datum, as long as the feature. This is how you make sure a dowel pin stands square or a bore lines up with a bearing face.

Perpendicularity does not locate anything. A square hole can still be in the wrong place; position controls that, and a position tolerance referencing the same primary datum also controls perpendicularity within its value.

The tolerance zone

For a surface: two parallel planes at 90° to the datum, the tolerance value apart. For an axis with a diameter symbol: a cylinder of that diameter, at 90° to the datum, the length of the feature.

The zone may move sideways to suit the part, since only orientation is controlled.

Perpendicularity tolerance zoneA block resting on datum A with a vertical side face. Two vertical dashed lines 0.05 apart, square to datum A, bound the side face, which leans slightly inside them.0.05Azone at 90°to datum A
Original Coplain diagram, not to scale; zones are exaggerated so they are visible.

Does it need a datum?

Perpendicularity always needs a datum, usually a flat face. A second datum is added when the direction of tilt matters, for example a face that must be square to both a base and a side.

Which modifiers apply

ModifierWith perpendicularity
MMC or LMCAllowed when applied to a feature of size (hole, pin, slot). The tolerance grows by the departure from that material condition.
Zero at MMCA tolerance of 0 at MMC means all the tolerance comes from the size: a common way to guarantee assembly.
Tangent plane (T)For surfaces: only the plane through the high points is checked.
Projected tolerance zone (P)Projects the axis zone above a threaded or press-fit hole, where the mating part actually sits.

Example feature control frame

Example feature control frameFeature control frame: perpendicularity symbol, diameter 0.05 at maximum material condition, datum A.Ø0.05MA

Example: a Ø10.00–10.10 mm hole, perpendicularity Ø0.05 at MMC to face A

  1. MMC of the hole is its smallest size, 10.00 mm. The stated Ø0.05 applies at that size.
  2. The hole measures 10.06 mm, so bonus = 10.06 − 10.00 = 0.06 mm. Allowed perpendicularity = 0.05 + 0.06 = Ø0.11 mm.
  3. A CMM aligned to datum A measures the hole axis as tilted within a Ø0.08 mm cylinder.

Result: 0.08 ≤ 0.11, so the hole passes. At 10.00 mm it would have failed against the base Ø0.05.

How it is inspected

Common mistakes

How it relates to neighbouring symbols

Every GD&T symbol page: GD&T symbols chart

Calculators and further reading

Frequently asked questions

Does perpendicularity need a datum?

Yes. It always references at least one datum, the feature the controlled surface or axis must be square to.

What is the difference between perpendicularity and squareness?

They mean the same thing. Squareness is the common shop word; perpendicularity is the GD&T term.

Can perpendicularity use MMC?

Yes, when it controls the axis or centre plane of a feature of size. The tolerance then grows as the feature departs from MMC.

Does perpendicularity control flatness?

For a surface, yes. All points must lie inside the two planes, so flatness can be no worse than the perpendicularity value.

How is perpendicularity of a hole measured?

On a CMM, or with a gauge pin in the hole and an indicator at two heights while the part stands on the datum face.

Sources

  1. ASME Y14.5-2018 Dimensioning and Tolerancing, ASME
  2. ASME Y14.5-2009 Dimensioning and Tolerancing (for drawings made to the earlier edition), ASME
  3. ISO 1101 Geometrical product specifications (GPS) — Geometrical tolerancing, ISO

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