Angularity (GD&T)

Angularity is a GD&T orientation control that holds a surface, axis or centre plane at a stated basic angle to a datum. The zone is two parallel planes, the tolerance apart, tilted at that exact angle, so the result is a fixed width in millimetres or inches rather than a plus-or-minus angle.

Last updated

At a glance

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

What it controls

Angularity says: this inclined face must lie between two parallel planes set at exactly the basic angle (for example 30°) to datum A. Because the zone is a constant width, the allowed angular error gets smaller as the face gets longer, which is usually what the function needs.

It also controls flatness of the face, since every point must be inside the two planes. It does not control where the face is; that is the job of size dimensions, position or profile of a surface.

Strictly, perpendicularity and parallelism are angularity at 90° and 0°. Use those symbols for those angles, and angularity for everything else.

The tolerance zone

For a surface, the zone is two parallel planes, the tolerance value apart, inclined at the basic angle to the datum. The angle itself carries no tolerance; it is shown in a box as a basic dimension.

For an axis, the zone is either two parallel planes or, with a diameter symbol, a cylinder inclined at the basic angle.

Angularity tolerance zoneA block resting on datum A with an inclined top face. Two parallel dashed lines tilted at a basic 30 degrees to datum A bound the inclined face, 0.1 apart.30°Atwo parallel planes 0.1 apart,at exactly 30° (basic) to datum A
Original Coplain diagram, not to scale; zones are exaggerated so they are visible.

Does it need a datum?

Angularity always needs at least one datum, because an angle has to be measured from something. A secondary datum is added when the rotation of the zone around the primary datum matters.

Which modifiers apply

ModifierWith angularity
MMC or LMCAllowed when applied to the axis or centre plane of a feature of size, such as an angled hole.
Tangent plane (T)Checks only the plane touching the high points, so form error is ignored. Useful for faces that bolt to another part.
Diameter symbolFor an angled axis with a cylindrical zone.

Example feature control frame

Example feature control frameFeature control frame: angularity symbol, tolerance 0.1, datum A.0.1A

Example: a 30° chamfer face, 40 mm long, angularity 0.1 mm to datum A

  1. Set a sine bar to 30° with gauge blocks on the surface plate (A), so a perfect face would read level.
  2. Rest the part on the sine bar with datum A down and sweep an indicator along the 40 mm face. Readings range from −0.03 to +0.05 mm.
  3. Angularity = 0.05 − (−0.03) = 0.08 mm, inside 0.1. For comparison, 0.1 mm over 40 mm is an angle error of about 0.14°.

Result: The face passes angularity. The basic 30° angle has no ± of its own; the 0.1 mm band does all the work.

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 angularity need a datum?

Yes, always. An angle must be measured relative to a datum feature.

Why is angularity a distance and not an angle?

The zone is two parallel planes a fixed distance apart. That gives the same allowed movement at the end of the face whatever its length, which matches how most assemblies work.

Can angularity be used for 90°?

Technically yes, but perpendicularity is the symbol meant for 90°, and parallelism for 0°.

Does angularity control flatness?

Yes. All points of the face must be within the zone, so the face can be no less flat than the angularity value.

How do you check angularity?

Set the basic angle on a sine bar so the face reads level, then indicate across it; or measure it on a CMM relative to the datum.

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

COPLAIN AI PLATFORM

Generate yours automatically from your existing docs

Coplain turns your sine bar setup, gauge block stack and check steps into a picture-led job aid for angled features.

Generate yours automatically with Coplain →

Related Tools & Templates