What Is Geometric Tolerance: Symbols and Datums

Geometric tolerance is a system for specifying how much a manufactured part’s shape, orientation, or position can deviate from its ideal design. Rather than relying solely on plus-or-minus size dimensions, geometric tolerancing uses a standardized set of 14 symbols to control features like flatness, hole location, and perpendicularity. The governing standard in the United States is ASME Y14.5-2018, most recently reaffirmed in 2024, while international manufacturers follow ISO 1101. Together, these standards form the language known as GD&T (Geometric Dimensioning and Tolerancing).

Why Geometric Tolerance Exists

Traditional dimensioning uses plus-or-minus values to control the size and location of features. A hole might be located at 2.000 inches ± 0.003 inches from two edges. That creates a square-shaped tolerance zone, and here’s the problem: if the hole drifts to the maximum allowed amount in both directions simultaneously, it lands in the corner of that square zone, farther from ideal than intended. In assembly, that corner case can cause interference with a fastener even though the part technically passed inspection.

Geometric tolerancing solves this by using a circular (diametric) tolerance zone instead of a square one. Converting that same ± 0.003 inch coordinate tolerance into a position tolerance yields a diameter of 0.008 inches. The circular zone captures all the functional locations and provides 57% more usable tolerance for the manufacturer. Parts that actually fit get accepted; parts that don’t get caught. This is the core logic behind the entire system: define tolerance zones that match how parts actually function, not just how they’re measured on a drawing.

In practice, the benefits are measurable. A study comparing manufacturing plants found that adopting GD&T reduced scrap rates from 4.2% to 1.1%, cut rework instances by 62%, and, when paired with automated inspection equipment, reduced inspection time by 35%.

The 14 Geometric Tolerance Symbols

Every geometric tolerance falls into one of five categories: form, orientation, location, profile, and runout. Each category controls a different aspect of a part’s geometry, and together the 14 symbols can describe virtually any manufacturing requirement.

Form Tolerances

Form tolerances control the shape of individual features. They are unique in the GD&T system because they never require a datum reference. The four form controls are:

  • Straightness: limits how much a line element or axis can deviate from being perfectly straight.
  • Flatness: requires an entire surface to lie between two parallel planes spaced apart by the tolerance value.
  • Circularity (roundness): requires any cross-section of a cylindrical or spherical feature to fall between two concentric circles.
  • Cylindricity: combines circularity and straightness, requiring an entire cylindrical surface to lie between two coaxial cylinders.

Because form tolerances evaluate a feature in isolation, they describe only the feature’s own shape. Flatness, for example, doesn’t care whether a surface is tilted relative to another surface. That job falls to orientation tolerances.

Orientation Tolerances

Orientation tolerances control the angular relationship between a feature and a reference (datum). All three require at least one datum:

  • Perpendicularity: ensures a feature maintains a 90° angle to a datum. The feature must lie between two parallel planes spaced by the tolerance value, oriented exactly perpendicular to the datum.
  • Parallelism: controls how closely a surface or axis stays parallel to a datum surface or axis.
  • Angularity: specifies any angular relationship other than 0° or 90°, using the same two-plane tolerance zone tilted to the required angle.

Location Tolerances

Location tolerances define where features must be positioned relative to datums. Position is by far the most widely used geometric tolerance. It controls the location of holes, slots, and pins using a circular tolerance zone centered on the feature’s “true position,” which is defined by basic (exact) dimensions on the drawing. The other two location controls, concentricity and symmetry, ensure that circular features share a common axis or that features are symmetrically placed about a centerline.

Profile Tolerances

Profile tolerances are versatile controls that can manage form, orientation, and location simultaneously. Profile of a line controls individual line elements along a surface, while profile of a surface controls the entire three-dimensional shape. These are especially useful for complex curved surfaces where simple form controls aren’t sufficient.

Runout Tolerances

Runout tolerances apply to parts that rotate, like shafts and pulleys. Circular runout checks the variation at individual cross-sections as the part spins one full revolution around a datum axis. If you move the indicator to a different spot along the axis, you re-zero it, so each cross-section is evaluated independently. Total runout is more restrictive: the indicator sweeps the entire surface while the part rotates, capturing variation across all cross-sections at once. Total runout catches problems like taper and waviness that circular runout might miss.

The Feature Control Frame

On an engineering drawing, geometric tolerances are communicated through a rectangular box called a feature control frame. Reading left to right, it contains: the geometric characteristic symbol (which of the 14 controls applies), the tolerance zone descriptor (whether it’s a diameter or width), the tolerance value itself, any material condition modifier, and the datum references in order of priority (primary, secondary, tertiary). Every piece of information a manufacturer or inspector needs to evaluate the tolerance is packed into this single notation.

How Datums Work

A datum is a theoretically perfect reference point, line, or plane derived from an actual feature on the part. Most geometric tolerances (everything except the four form controls) require at least one datum to anchor the measurement.

Datums are organized into a datum reference frame, which locks down all six degrees of freedom: three translations (sliding along the X, Y, and Z axes) and three rotations (spinning around each axis). A simple rectangular block illustrates this clearly. The primary datum, typically a large flat face, constrains three degrees of freedom: it prevents the part from translating along one axis and rotating about the other two. The secondary datum, an edge perpendicular to the first face, locks down two more: one translation and one rotation. The tertiary datum, a second edge, constrains the final degree of freedom, a single translation. Together, 3 + 2 + 1 = 6, and the part is fully located in space.

The order matters. The primary datum always controls the most degrees of freedom, and the tertiary controls the least. Swapping the order changes how the part is oriented during inspection, which can change whether it passes or fails.

Material Condition Modifiers

Two modifiers can dramatically change how a geometric tolerance behaves: Maximum Material Condition (MMC) and Least Material Condition (LMC).

MMC refers to the state where a feature contains the most material: the smallest hole or the largest pin within its allowed size range. When a geometric tolerance is applied at MMC, the stated tolerance value only applies when the feature is produced at that maximum-material size. As the feature departs from MMC (the hole gets bigger, or the pin gets smaller), the difference gets added to the geometric tolerance as “bonus tolerance.” The total allowable variation is greatest when the feature reaches LMC, its opposite extreme.

LMC works on the same principle in reverse. The stated tolerance applies when the feature has the least material (largest hole, smallest pin), and bonus tolerance accumulates as the feature departs toward MMC.

This matters because it reflects functional reality. A slightly undersized pin fitting into a slightly oversized hole has more room to be off-center and still assemble correctly. MMC and LMC let the tolerance system capture that relationship, giving manufacturers more room to produce acceptable parts without sacrificing function. Without these modifiers, the geometric tolerance is fixed regardless of feature size, a stricter requirement called “regardless of feature size” or RFS.

How Geometric Tolerance Differs From Size Tolerance

Size tolerance (the familiar ± value) controls only how big or small a feature is. It says nothing about whether a surface is flat, whether a hole is round, or whether two features are aligned. A shaft could be within its diameter tolerance but still be banana-shaped. Geometric tolerance fills that gap by controlling the shape, orientation, and position of features independently from their size.

The two systems work together. Size tolerance defines how large or small a feature can be. Geometric tolerance defines everything else about that feature’s geometry. In the ASME standard, Rule #1 links the two: a feature produced at its maximum material size must have perfect form. As it departs from that size, form variation is permitted up to the boundary defined by the size limits. This rule applies automatically to all features of size unless overridden on the drawing.