Circularity (Roundness) in GD&T

Circularity, also called roundness, is a GD&T form control that keeps each cross-section of a round feature between two concentric circles. Each slice is judged on its own, with no datum, so it controls out-of-round shapes such as ovals and lobes but not taper or bend.

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At a glance

Group
Form
Datum
Never
Modifiers
None (free state only)

What it controls

Picture slicing a shaft, cone or sphere perpendicular to its axis. Circularity looks at one slice at a time and asks how far the outline strays from a perfect circle. An egg-shaped slice, a three-lobed slice from centreless grinding and a slice with a flat spot are all caught.

Because every slice gets its own pair of circles, centred wherever they fit best, circularity does not care whether neighbouring slices are the same size or share a centre. A tapered pin can have perfect circularity. Control taper with size limits or cylindricity, and wobble with circular runout.

Circularity is typical on bearing journals, O-ring grooves, seal diameters and turned parts where an oval shape would leak or vibrate.

The tolerance zone

At each cross-section, the zone is the ring between two concentric circles whose radii differ by the tolerance value. Note that it is a radial value: a circularity of 0.01 means the two circles are 0.01 apart in radius, not diameter.

The circles may be any size and centred anywhere for each slice, as long as the measured outline fits between them.

Circularity tolerance zoneA cross-section of a shaft. An irregular outline sits inside a shaded ring between two concentric circles. A radial dimension shows the ring is 0.02 wide.0.02radialEach cross-section fits between two concentric circles.
Original Coplain diagram, not to scale; zones are exaggerated so they are visible.

Does it need a datum?

Circularity never references a datum. Each cross-section is compared only with its own best-fit pair of concentric circles.

Which modifiers apply

ModifierWith circularity
MMC or LMCNot allowed. Circularity always applies to surface elements, never to a feature axis.
Free stateCommon on thin-walled rings and plastic parts that go oval when unclamped. The drawing may give one value in the free state and another when restrained.
Average diameterOften paired with a free-state circularity on non-rigid parts, so size is judged from an averaged diameter.

Example feature control frame

Example feature control frameFeature control frame: circularity symbol, tolerance 0.02, no datums.0.02

Example: a Ø25 mm bearing journal with a circularity of 0.02 mm

  1. Mount the journal on a roundness machine, centre it, and trace three cross-sections.
  2. The software fits minimum-zone circles to each trace: 0.008, 0.013 and 0.011 mm radial separation.
  3. The worst section is 0.013 mm, below the 0.02 mm limit.

Result: All sections are round within 0.02 mm, so the journal passes circularity.

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

Is circularity the same as roundness?

Yes. Circularity is the ASME term and roundness is the common shop and ISO term. Both mean the same two-concentric-circles control on each cross-section.

Does circularity need a datum?

No. Circularity is a form control and is checked against the section itself.

Can circularity apply to a cone or sphere?

Yes. On a cone the sections are perpendicular to its axis. On a sphere every section through the centre is checked.

What is the difference between circularity and cylindricity?

Circularity checks one cross-section at a time. Cylindricity checks the whole surface at once between two coaxial cylinders, so it also catches taper, barrel shape and bend.

Why does my micrometer say the pin is round when the roundness machine says it is not?

A part with an odd number of lobes, typical of centreless grinding, has the same two-point diameter at every angle. Only a measurement around the full circle shows the lobes.

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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