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Drawing interpretationReading time 14 min

How to Read GD&T: Start With the Datums

A shaft can meet its diameter tolerance and still be too bent to fit. GD&T tells you what the size callout cannot: how straight, square or accurately placed a feature must be. Start with the datum references—they tell you how the part is meant to be checked.

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01Why size tolerance is not enough

Suppose every two-point diameter reading on a shaft falls within Ø20 h7. The shaft can still be bowed enough to jam in its mating hole. Diameter tells you the distance between opposing points; it does not, by itself, tell you whether the shaft is straight, a face is square or a hole is correctly located.

Geometric dimensioning and tolerancing (GD&T) adds those missing controls. It specifies a feature's form, its orientation or location relative to datums, and, for rotating parts, its runout. ISO 1101 and ASME Y14.5 use similar symbols, but not always the same default rules. Check which standard the drawing names before interpreting a callout.

02Read the feature control frame

Read a feature control frame from left to right. Each compartment answers a different question.

Cell Contents Answers
First Geometric characteristic symbol What property is controlled?
Second Tolerance value (may carry Ø and modifiers) How much variation is allowed, and in what kind of zone?
Third onward Datum letters (one to three) Which references establish the measurement?
A frame may reference more than one datum. Their order matters.

Ø changes the tolerance zone

A position tolerance of 0.1 and one of Ø0.1 are not interchangeable. Without Ø, the zone is between two parallel planes 0.1 apart. With Ø, it is a cylinder 0.1 in diameter around the true position. For a hole whose axis can shift in any radial direction, that cylindrical zone is usually what the designer intends.

Modifiers after the value

Symbol Name Meaning
Ⓜ Maximum material requirement (MMR) Departure from maximum material size may allow bonus tolerance
Ⓛ Least material requirement (LMR) Departure from least material size may allow bonus tolerance
Ⓕ Free state A non-rigid part is measured with no external force applied
Ⓟ Projected tolerance zone The zone extends outside the part, to control interference once a bolt is fitted
Ⓔ Envelope requirement Size and form considered together (must be stated explicitly under ISO)
Common modifiers. Ⓜ is easy to miss and can change the acceptance limit.

03Four families of controls

The common controls fall into four families. A useful first question is whether the control needs a datum reference.

Family Symbol and name Datum required
Form Straightness, flatness, roundness, cylindricity, line profile, surface profile No (profile may or may not)
Orientation Parallelism, perpendicularity, angularity Yes
Location Position, concentricity / coaxiality, symmetry Yes
Runout Circular runout, total runout Yes
Form is usually judged on the feature itself. Orientation, location and runout need a reference.

Form: judge the feature itself

Straightness, flatness, roundness and cylindricity describe the shape of a feature. Cylindricity controls the entire cylindrical surface, not just one cross-section. These controls normally need no datum because the comparison is against an ideal form of the feature itself.

Orientation and location: judge a relationship

Parallelism, perpendicularity and angularity describe how one feature is oriented to a datum. Position describes where a feature is relative to a datum system. Its ideal location comes from theoretically exact dimensions (TEDs), shown in boxes; the position callout supplies the allowable variation.

Runout: rotate the part

For circular runout, rotate the part about the datum axis and read an indicator at one cross-section. For total runout, sweep the indicator across the surface as the part turns. Both readings can reflect form error and eccentricity, making runout useful when the question is whether an assembled rotating part will wobble.

04Datum order and part setup

Datum letters are not an unordered list. A primary, secondary and tertiary datum establish a reference frame in that order. The sequence determines how the part is located for inspection.

  1. The primary datum establishes the first reference, often a stable mounting face. In the familiar 3-2-1 example, three contacts constrain three degrees of freedom.
  2. The secondary datum constrains two more degrees of freedom, often with two contacts.
  3. The tertiary datum constrains the remaining degree of freedom, often with one contact.

This 3-2-1 model is a useful way to picture the setup, though actual datum simulators depend on the features and the governing standard. Reversing A|B|C to B|A|C can change the reference frame and therefore the reported measurement.

05Choosing a measurement method

Choose a method that measures the specified characteristic and recreates the drawing's datum setup.

Characteristic Common methods Watch out for
Flatness Surface plate and indicator, optical flat, CMM scan Too few points and you will understate the error
Roundness Roundness tester (rotating spindle), vee block and indicator The vee-block method distorts on odd-lobed forms
Parallelism / perpendicularity Square and indicator, CMM The datum surface must be established first
Position CMM, functional gauge (go gauge) With Ⓜ applied, a functional gauge is the most direct check
Circular runout Bench centres and indicator How the datum axis is set up matters a great deal
Different tools can work; the datum setup and sampling strategy must still match the callout.
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 common mistakes

  • Using orientation to express a form requirement. Parallelism also limits flatness, but if the functional requirement is flatness itself, call it out explicitly.
  • Choosing an unstable datum feature. A rough cast face may not locate the part repeatably. Select references that reflect assembly function and can be simulated consistently.
  • Omitting Ø from a hole-position callout. A zone between two planes controls only one direction. If radial location matters, confirm that the intended zone is cylindrical.