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Angularity GD & T

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GD&T Symbol:

Relative to Datum: Yes

MMC or LMC applicable: Yes (Uncommon)

Drawing Callout:

Description:

Angularity is the symbol that describes the specific orientation of one feature to another at a referenced angle. It can
reference a 2D line referenced to another 2D element, but more commonly it relates the orientation of one surface plane
relative to another datum plane in a 3-Dimensional tolerance zone. The tolerance does not directly control the angle
variation and should not be confused with an angular dimension tolerance such as ± 5°. In fact the angle for now
becomes a Basic Dimension, since it is controlled by your geometric tolerance. The tolerance indirectly controls the
angle by controlling where the surface can lie based on the datum. See the tolerance zone below for more details.

Maximum material condition or axis control can also be called out for angularity although the use in design and
fabrication is very uncommon since gauging a hole or pin at an angle is difficult. When angularity is called out on an axis,
the tolerance zone now becomes a cylinder around the referenced axis at an angle to the datum. The page on
Perpendicularity goes into this type of reference in further detail since it is more common with perpendicularity.

GD&T Tolerance Zone:

Two parallel planes or lines which are oriented at the specified angle in relation to a datum. All points on the referenced
surface must fall into this tolerance zone.

Angularity does not directly control the angle of the referenced surface; it controls the envelope (like flatness) that the
entire surface can lie.

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Gauging / Measurement:
Angularity is measured by constraining a part, usually with a sine bar, tilted to the reference angle, so that the reference
surface is now parallel to the granite slab. By setting the part at an angle the flatness can now be measured across the now
horizontal reference surface. The entire variation must not fall outside the tolerance zone.

Relation to Other GD&T Symbols:

Perpendicularity and Parallelism are actually refined forms of Angularity. Perpendicularity describes angularity at 90° and
parallelism describes it at 0°. All of these are profiles of orientation and are used in the exact same way. They also can be
used with control of an axis under maximum material condition, although perpendicularity is usually the only one you will
ever see with this callout.

Orientation GD&T Symbols are also closely related to flatness when the surfaces are is flat planes. When you call out any
of the orientation symbols, flatness is implied (you are measuring a surface variation between two parallel planes =
Flatness) However the biggest difference is that orientation callouts are measured with respect to a datum, where flatness
is not.

When Used:

Angularity helps control any feature that is at an angle to another datum surface. Anytime you have a critical feature
which mates with other part at an angle, angularity can be used to help control the angle and flatness of the mating
surfaces. Many stamped parts that have bent features use angularity to ensure that the 3D surface formed by the stamping
operation that is formed always is controlled and encased in a tolerance zone.

Example:

If you have a stamped part that had to hook into another part at an angle of 30 degrees, you would want to call out
angularity on the “bent” feature to ensure that it is always at its proper orientation. If you did not use angularity you would
have to both tighten the angle tolerance of the part and the thickness tolerance of the referenced surface.

Angularity example 1: Tightening the angle and/or the thickness are required if angularity is not called out.
Angularity example 2: A simple call to angularity now ensures that the stamped surface now has both proper angle and
flatness. The angle must be a basic dimension, but now allows your part thickness to open up more. (Note this drawing is
unconstrained and would need additional size dimensions to be accurate.)

Remember – You are not controlling the angle with angularity – you are controlling the surface to fall within the
specified dimensional tolerance in millimeters!

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