11.2 Defining the True Profile
Key Takeaways
- The true profile is the theoretically perfect contour of a feature, defined exclusively by basic (theoretically exact) dimensions — including basic radii, basic angles, basic curves, and a basic CAD model.
- Profile cannot be evaluated without a defined true profile; the tolerance zone is constructed as a uniform boundary disposed about that true profile.
- Any dimension used to define the true profile must carry a basic dimension frame (boxed value); a toleranced dimension cannot establish the true profile because its uncertainty would compound with the profile tolerance.
- On modern drawings the true profile is often conveyed by a basic 3D CAD model referenced from the drawing; the drawing supplies the basic dimensions that anchor the model to the datums.
- A common Senior trap is a drawing that defines a contour with a toleranced radius or a +/- coordinate; that dimension does not establish the true profile and the profile callout cannot be evaluated against it.
11.2 Defining the True Profile
Quick Answer: The true profile is the theoretically perfect contour of a feature, defined by basic (theoretically exact) dimensions and — on modern drawings — a basic CAD model. The profile tolerance zone is a uniform boundary disposed about the true profile, so without a defined true profile, profile cannot be evaluated. Any dimension that establishes the true profile must be basic (boxed); a toleranced dimension cannot serve that role.
What the true profile is
The true profile is the ideal geometric description of the contoured feature — the shape the surface would have if manufactured perfectly. ASME Y14.5-2009 requires the true profile to be defined by basic dimensions: dimensions enclosed in a rectangular frame (the "boxed" value), interpreted as theoretically exact. Basic dimensions carry no tolerance of their own; their function is to locate and orient the true profile relative to the datum reference frame and to define the shape of the contour itself.
A true profile may be composed of:
- Basic linear dimensions locating points, endpoints, or centers of contour elements.
- Basic radii and diameters of arcs that compose the contour (e.g., R15 basic for a blending arc).
- Basic angular dimensions defining the orientation of contour elements.
- Basic curves defined mathematically (e.g., a polynomial or spline) and referenced from the drawing.
- A basic CAD model — a 3D model designated as basic, referenced from the drawing, with selected basic dimensions on the drawing itself anchoring the model to the datums.
Relationship between true profile and tolerance zone
The profile tolerance zone is built from the true profile. For a default equal-bilateral profile of a surface of 0.2:
- The true profile is the reference surface.
- The zone is two surfaces, each 0.1 mm from the true profile, one on each side — a 0.2 mm-wide uniform boundary.
- Every point on the actual produced surface must lie within that boundary.
If the true profile is not uniquely defined, the zone is not uniquely defined, and the callout cannot be inspected. This is the root reason every dimension that defines the true profile must be basic: a toleranced dimension would describe a family of possible true profiles, and the resulting family of zones would make acceptance ambiguous.
How the true profile is established on a drawing
A typical contoured feature drawing carries:
- A profile callout in the feature control frame (e.g., profile of a surface, 0.2, referencing datums A | B | C).
- Basic dimensions in rectangular frames defining the contour — basic radii, basic coordinate points along the curve, basic angles between segments.
- Optionally, a note such as
TRUE PROFILE DEFINED BY 3D CAD MODEL — SEE DATASET XXXX, identifying the basic CAD model as the source of the contour shape. - Datum references that locate and orient the true profile to the DRF.
When a basic CAD model is used, the drawing must still carry enough basic dimensions to anchor the model to the datums and to make the profile callout unambiguous. The model alone is not enough if its relationship to the datums is not defined.
Worked example: contoured cam face
Consider a cam with a contoured face defined by three blending arcs:
- Arc 1: R10 basic, center at basic coordinates (0, 0).
- Arc 2: R25 basic, center at basic coordinates (35, 12).
- Arc 3: R10 basic, center at basic coordinates (70, 0).
- Tangent transitions between arcs are implied by basic geometry.
- The cam face is controlled by profile of a surface 0.4 referencing datums A | B | C.
The true profile is the composite curve made of the three R10, R25, R10 basic arcs joined tangentially. The profile zone is two curves (one inside, one outside) each 0.2 mm from this true profile. An inspector scans the produced cam face, compares each point to the true profile, and accepts the part only if every point lies within the 0.4-wide zone oriented and located by the A | B | C DRF.
If instead the drawing had specified R10 +/-0.1 for the first arc, that arc would not be part of the true profile. The profile callout could not be evaluated for that arc segment — the toleranced radius defines an allowed range of arc shapes, not a single ideal contour.
Senior-level traps
Trap 1: toleranced dimensions defining the contour
A drawing defines a contoured face with R15 +/-0.25 and applies profile of a surface 0.2 to the face. Which dimension controls the arc shape? Answer: the +/-0.25 radius controls the arc size directly; the profile callout does not evaluate the contour against R15, because R15 is not basic. The profile zone is not anchored to a single true profile for that arc. This is a defective drawing — the profile callout cannot do its job there.
Trap 2: missing basic dimensions for a CAD-defined profile
A drawing references a basic CAD model for the contour but provides no basic dimensions locating the model to the datums. The true profile's position is ambiguous, so the profile callout (which references datums) cannot be fully evaluated. The drawing is incomplete; basic dimensions anchoring the model to the DRF are required.
Trap 3: assuming profile controls a contour defined by toleranced dimensions
If a question asks whether a profile callout controls a feature whose shape is given by a toleranced dimension, the correct answer is no — at least not as a profile control. The toleranced dimension already controls that aspect of the shape; profile requires a basic (theoretically exact) definition of the contour.
Trap 4: confusing true profile with the actual surface
The true profile is theoretically perfect; it is the reference, not the produced feature. The actual surface is what is measured and compared to the true profile. Statements that treat the true profile as a real, measurable surface on the part are incorrect.
Summary
The true profile is the foundation of every profile callout. It is defined by basic dimensions and, where used, a basic CAD model anchored to the datums. Without a unique, basic-defined true profile, profile of a line and profile of a surface cannot be evaluated — and any toleranced dimension on the contour is a red flag that the callout is not doing what it appears to do.
A drawing shows a contoured face with R20 +/-0.15 and applies profile of a surface 0.3 to that face. Which statement is correct under ASME Y14.5-2009?
Which of the following correctly describes how a true profile is established when a drawing references a basic CAD model?
A cam face is defined by three basic arcs (R10, R25, R10) with basic center coordinates, controlled by profile of a surface 0.4 referencing A | B | C. Which statement is correct?