∠ Angularidad
Angularity · Orientación · ISO 1101 + ASME Y14.5
Search any geometric tolerance symbol by name, category or drawing example.
It covers form, orientation, location, runout and profile tolerances; datums and basic dimensions; MMC/LMC modifiers, projected zone, free state; dimensional indicators; roughness; welding; ISO 10135 casting; heat treatments; and inspection and testing (100%, sampling, FAI, NDT). Each entry explains what it controls, how to read it on the shop floor and how to verify it.
Reference guidance based on ISO 1101 and ASME Y14.5. For critical parts, always check the standard and the general note quoted on the customer's drawing.
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Example in plan
How to interpret it
The surface or element must be oriented at the basic angle indicated on the plan (for example 30°) with respect to datum A, with a tolerance band of 0.05 mm measured perpendicular to that theoretical orientation.
What controls
Controls the orientation of a feature relative to a theoretical angle (basic dimension, boxed) other than 0° or 90° to a datum — for those two specific cases parallelism and perpendicularity are used. The tolerance zone is a band oriented exactly at the basic angle: the tolerance value is always expressed in linear units (mm), like all other GD&T tolerances, never in degrees or minutes.
How to verify
Place the part on the datum and use a master angle block (or sine plate / sine bar) set exactly to the basic angle as reference; measure the gap with feeler gauges or an indicator along the inclined surface. A profile projector or optical goniometer lets you verify the real angle directly against the nominal. On a CMM the datum is built, the basic angle is defined as the theoretical reference and the linear deviation from that oriented band is evaluated, not the angle in degrees directly.
tolerance zone
Strip oriented exactly at the basic angle with respect to the datum, with a width equal to the tolerance value.
Datums and notes
Requires datum and basic angle dimension.
Workshop guideline values
- General
- 0.05–0.2 mm on chamfers and inclined faces for general machining.
- Accuracy
- 0.02–0.05 mm on parts with adjusted functional angle.
- High precision
- 0.005–0.01 mm on cams, inclined guides or precision parts.
As a guideline: the value of the plane always rules.
Common mistakes when interpreting it
- Interpret the tolerance value as if it were an angular tolerance in degrees or minutes: it is always a linear distance (mm) that measures the width of the strip, not the angle itself.
- Check the angle with a generic goniometer with no known standard: Without a calibrated reference to the exact base angle, there is no way to know if the error is in the part or the instrument.
How to get it in the workshop / if it comes out of tolerance
The basic angle is boxed (exact theoretical dimension). The angular tolerance is applied as an oriented zone. Common in functional chamfers and inclined pieces.
Verify the angle of the fixture, rotary table or tilting head with a goniometer or sine plate BEFORE launching the batch, not after the first out-of-tolerance part. Wear on a template or reference stop accumulates little by little: check it periodically in long production runs, not only at batch start.
Related symbols
What is GD&T and what is it for in the workshop?
GD&T (Geometric Dimensioning and Tolerancing), o tolerancias geométricas según ISO 1101, define cómo deben controlarse forma, orientación, ubicación y oscilación de features respecto a datums. Complementa las tolerancias dimensionales lineales y angulares: una pieza puede cumplir H7 y aun así fallar posición o perpendicularidad. En planos europeos suele citarse ISO 1101; en EE. UU., ASME Y14.5 comparte símbolos pero con matices en modificadores y reglas por defecto.
Main Categories of GD&T Symbols
Forma (⏥, ⌭, ⌒, ○)
Straightness, flatness, roundness and cylindricity control the feature's intrinsic geometry without reference to another element. They are the basis before demanding orientation or position relative to datums.
Orientation (⟂, ∥, ∠)
Perpendicularity, parallelism and angularity limit the tilt relative to a datum. Very common in assemblies with seating faces and fixing holes.
Location (⌖, ⊕, ⌯)
Position, concentricity and symmetry locate the feature in space relative to the datum system. Position with MMC and tolerance bonus is key in assemblies with pins and threads.
Oscillation and profile (↗, ⌰, ⌓)
Circular and total runout, plus line or surface profile tolerances. Runout is measured with the part between centers; 3D profile usually requires a CMM or scanning depending on complexity.
Datums y modificadores (A, Ⓜ, Ⓟ)
Datums build the reference system; the MMC, LMC or projected-zone modifiers change how conformity and tolerance bonus are computed in production and inspection.
Surface, welding and inspection
Roughness, ISO 2553 welding symbols, casting indications and NDT annotations complete the drawing's language. Each sheet states shop criteria and usual verification methods.
Frequently asked questions about GD&T
What is the difference between size tolerance and geometric tolerance?
Size tolerance (H7, ±0.1) limits the size of the feature. Geometric tolerance (⌖, ⟂, ⏥…) controls form, orientation, location or runout relative to datums. The two coexist: a hole can be within size and still fail position.
What is the tolerance bonus with MMC?
With Ⓜ in position, if a hole is larger than its MMC (minimum material), you gain extra geometric tolerance. On an axis, if it is thinner than its MMC, too. It is key for functional gauges and assembly.
Are ISO 1101 and ASME Y14.5 the same?
They share most of the base symbols, but differ in modifiers, default rules and some practices (concentricity/symmetry, all over, simultaneous requirement). Always look at the standard cited on the plan.
Do I need CMM to inspect GD&T?
It depends on the symbol: runout and some shapes are measured with comparator and centers; 3D position and profile usually require CMM or coordinate system. The tab for each symbol indicates common methods.
What is a datum and why does the A-B-C order matter?
A datum is a physical reference on the drawing (face, axis, centre) from which the tolerance is measured. The A-B-C order defines how the coordinate system is built: first the base is fixed, then the direction and finally the lateral position. Changing the order changes the interpretation.
What does the circle with M, L or P next to the tolerance mean?
They are tolerance-zone modifiers: MMC (Ⓜ) allows bonus tolerance, LMC (Ⓛ) is used for least-material conditions on the feature, and the projected tolerance zone (Ⓟ) extends the control in depth (typical for threads or dowel pins).
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