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Drawing interpretationReading time 14 min

The first step in reading GD&T is finding the datum

The easiest thing to skip on a drawing is one of those little boxes divided into two or three cells. They are not annotations. They are the test of whether the part will actually assemble, and they fill the hole that size tolerance on its own can never close.

01Why size tolerance alone is not enough

Measure a shaft anywhere along its length and every reading falls inside Ø20 h7. Sounds fine. But if the whole shaft is bent, it still will not go into the hole. That is not hypothetical, it is the fundamental limit of size tolerance: a two-point measurement only constrains how far apart two opposing points are. It says nothing about whether the body is bent, whether a face is skewed, or whether a hole has drifted.

Geometric tolerancing (GD&T) exists to close that gap. It does not constrain size; it constrains the form of the feature itself, its orientation and location relative to datums, and its runout when rotated. ISO 1101 and ASME Y14.5 are the two mainstream standards. The symbols are broadly the same, but they differ importantly on the envelope principle and on defaults.

02The three sections of the feature control frame

A standard feature control frame reads left to right in three sections, each answering one question.

CellContentsAnswers
FirstGeometric characteristic symbolWhat is being controlled, parallelism? position? cylindricity?
SecondTolerance value (may carry Ø and modifiers)How much deviation is allowed, and what shape the tolerance zone is
Third onwardDatum letters (one to three)What it is measured relative to
The three sections. After the third cell there may be several datums, and their order carries meaning.

The Ø in front of the tolerance value is not decoration

Position called out as “0.1” and as “Ø0.1” are two different things. Without the Ø the tolerance zone is a pair of parallel planes 0.1 apart, constraining one direction only. With the Ø it becomes a cylinder 0.1 in diameter, constraining two directions at once. Hole position almost always needs the Ø, because a hole can drift in any direction and boxing it between two planes makes no sense.

Modifiers after the value

SymbolNameMeaning
Maximum material requirement (MMR)The closer the feature is to maximum material, the more tolerance it may take
Least material requirement (LMR)The closer the feature is to least material, the more tolerance it may take
Free stateA non-rigid part is measured with no external force applied
Projected tolerance zoneThe zone extends outside the part, to control interference once a bolt is fitted
Envelope requirementSize and form considered together (must be stated explicitly under ISO)
The common modifiers. Ⓜ is the one most often used in practice, and the one most often overlooked.

03Fourteen symbols, four families

The geometric characteristics defined in ISO 1101 fall into four families, and the dividing line is simple: does it need a datum.

FamilySymbol and nameDatum required
FormStraightness, flatness, roundness, cylindricity, line profile, surface profileNo (profile may or may not)
OrientationParallelism, perpendicularity, angularityYes
LocationPosition, concentricity / coaxiality, symmetryYes
RunoutCircular runout, total runoutYes
The four families. Parallelism without a datum is meaningless, parallel to what?

Form: the feature judged against itself

Straightness controls how straight a line is, flatness how flat a face is, roundness how round a cross-section is, and cylindricity controls roundness and straightness together, it is the composite of roundness, straightness and the parallelism of the cylindrical surface. None of these needs a datum, because what they compare against is the feature's own ideal shape.

Orientation and location: tolerances of relationship

Parallelism, perpendicularity and angularity control angular relationships; position, coaxiality and symmetry control positional ones. Note that the position tolerance zone is centred on the ideal location defined by theoretically exact dimensions (TEDs, the dimensions in boxes). Boxed dimensions carry no tolerance of their own, all of it is carried by the position callout.

Runout: rotate it and watch the indicator

Circular runout means setting the part on its datum axis, turning it one revolution with the indicator fixed in one place, and reading the swing. Total runout moves the indicator along the generator line while rotating, controlling the whole surface. Runout includes both form error and eccentricity, which makes it the closest thing to a direct answer to “will it wobble once it is fitted”.

04Datums: the order decides how the part is set up

Datums A, B and C are ordered, and the order describes the sequence of seating and clamping. This is what beginners most often get wrong: the letters in the datum cells are not arbitrary.

  1. The primary datum is usually the largest, most stable supporting face. The part seats against it first, theoretically on three points, removing three degrees of freedom.
  2. The secondary datum then removes rotation and one translation, theoretically on two points.
  3. The tertiary datum locks the last degree of freedom, on one point.

In other words, a datum system is a description of how the part is to be set up for inspection. Write A|B|C as B|A|C and the numbers you measure are no longer the numbers the designer intended, because the part sits on the fixture in a completely different attitude.

05How to measure it: from dial indicators to CMMs

How a geometric tolerance is measured depends on what it constrains.

PropertiesCommon methodsWatch out for
FlatnessSurface plate and indicator, optical flat, CMM scanToo few points and you will understate the error
RoundnessRoundness tester (rotating spindle), vee block and indicatorThe vee-block method distorts on odd-lobed forms
Parallelism / perpendicularitySquare and indicator, CMMThe datum surface must be established first
PositionCMM, functional gauge (go gauge)With Ⓜ applied, a functional gauge is the most direct check
Circular runoutBench centres and indicatorHow the datum axis is set up matters a great deal
There is no single correct method, but it must be consistent with the datum system on the drawing.
A CMM can measure most geometric characteristics in a single setup, provided the datums have been established correctly.
A CMM can measure most geometric characteristics in a single setup, provided the datums have been established correctly.Wikimedia Commons・Example of a Cylindrical Coordinate Measuring Machine・CC BY-SA 4.0

06Three mistakes you will see often

  • An orientation tolerance with no form tolerance. Parallelism does limit flatness as a side effect, but if flatness is what the design actually cares about it should be called out separately so the number means something.
  • A datum chosen off the machined surfaces. Datums should sit on features that clamp stably and relate to function. Put one on a rough cast face and measurement repeatability will be poor.
  • Position without the Ø. A hole pattern position tolerance without Ø controls one direction only, and in practice that is almost always a mistake on the drawing.