In CNC machining and precision manufacturing, dimensional tolerance, geometric tolerance and surface roughness determine whether a part can meet its functional and quality requirements. These specifications control different characteristics, but their values must be coordinated to avoid unnecessary machining difficulty, inspection cost or contradictory drawing requirements.
This practical guide explains their relationships and how to select GD&T characteristics, tolerance principles, datum features and economical tolerance values.

1. Relationship Between Tolerance and Surface Roughness
1.1 Form vs. Dimensional Tolerance
Practical references use form tolerance at about 50% of dimensional tolerance for general manufacturing, 20% for instrument manufacturing and 70% for heavy manufacturing.
1.2 Form vs. Orientation or Location
Orientation and location error may include form error. Therefore, the corresponding orientation or location tolerance is generally larger than the form tolerance.
1.3 Form vs. Surface Roughness
For general-accuracy machining, surface roughness is often referenced at about one-fifth to one-quarter of the form tolerance.
2. Practical Numerical Relationships
| Relative geometric accuracy | Form tolerance relationship | Surface roughness reference |
|---|---|---|
| Medium | Tf = 60% of dimensional tolerance | Ra less than or equal to 0.05 IT |
| Higher | Tf = 40% of dimensional tolerance | Ra less than or equal to 0.025 IT |
| High | Tf = 25% of dimensional tolerance | Ra less than or equal to 0.012 IT |
| Ultra-high | Tf is below 25% of dimensional tolerance | Ra less than or equal to 0.15 Tf |
Here, Ra is arithmetic average surface roughness, IT is the dimensional tolerance value used in the relationship, and Tf is form tolerance. Another economical starting reference is dimensional tolerance at approximately three to four times the roughness value.
3. How to Select Geometric Tolerance Characteristics
3.1 Use Comprehensive Control
Choose a GD&T characteristic that controls the required function without adding redundant requirements. This can simplify both the drawing and inspection.
3.2 Consider Measurement
When several controls satisfy the function, select the one that is easier to measure. Radial runout may sometimes replace coaxiality, but it also includes cylindrical surface form error and may need a slightly larger value.
4. Selecting the Appropriate Tolerance Principle
4.1 Independency Principle
Use when dimensional and geometric accuracy differ significantly or must be satisfied independently, including some motion and sealing requirements.
4.2 Envelope Requirement
Use primarily when the nature of a fit must be strictly controlled.
4.3 Maximum Material Requirement
MMR is commonly applied to features of size when assembly is the main functional requirement.
4.4 Least Material Requirement
LMR helps guarantee minimum wall thickness, strength or another minimum-material condition.
4.5 Reciprocity Requirement
It may be combined with maximum or least material requirements to use the available tolerance zone more fully without compromising function.
5. How to Select Datum Features for GD&T
5.1 Datum Location
Prefer functional mounting surfaces, stable and rigid features, accurately machined surfaces and references shared by design, machining, assembly and inspection.
5.2 Number of Datums
Orientation controls often need one datum. Location controls may require one, two or three datums to constrain the necessary degrees of freedom.
5.3 Datum Priority
Define the reference order clearly as primary datum, secondary datum and tertiary datum. Each progressively constrains the remaining motion.
6. How to Select Geometric Tolerance Values
Select the most economical tolerance that satisfies part function. Consider manufacturing capability, geometry, rigidity and inspection capability.
| Relationship | Practical guidance |
|---|---|
| Form vs. position or orientation | Form tolerance should normally be smaller. |
| Form vs. dimensional tolerance | Form tolerance is normally smaller for the same feature. |
| Flatness vs. parallelism | Flatness should normally be smaller than parallelism relative to a datum. |
| Parallelism vs. distance tolerance | Parallelism should normally be smaller. |
| Ra vs. form tolerance | Ra is often about 20% to 25% of form tolerance as a starting reference. |
7. When to Relax Geometric Tolerance Grades
A tolerance may sometimes be selected one or two grades less stringent when function still permits it. Examples include holes compared with shafts, long slender features, widely separated axes, broad surfaces and line-to-line or line-to-surface controls. The goal is to avoid cost without functional benefit.
8. Unspecified Geometric Tolerances
8.1 General Classes
The cited GB/T 1184-1996 guidance provides H, K and L classes for unspecified straightness, flatness, perpendicularity, symmetry and circular runout.
8.2 Circularity and Cylindricity
Unspecified circularity equals diameter tolerance but should not exceed unspecified radial runout. No separate unspecified cylindricity value is defined in the cited guidance.
8.3 Parallelism and Coaxiality
Unspecified parallelism uses the larger applicable dimensional or form tolerance. Where necessary, unspecified coaxiality may follow unspecified circular runout.
8.4 Other Controls
Profile, angularity and position are controlled by applicable dimensional tolerances. No general unspecified total-runout value is given in the cited guidance.
9. Indicating Unspecified Tolerances on Drawings
When using the cited GB/T 1184-1996 unspecified tolerances, state the standard and class in the title block or technical requirements, for example: GB/T 1184-K.
Dimensional Tolerance and GD&T FAQ
Is surface roughness the same as form tolerance?
No. Surface roughness describes fine surface texture, while form tolerance controls larger-scale geometric deviation.
Should form tolerance be smaller than dimensional tolerance?
Generally yes for the same feature, unless a specific functional requirement establishes another relationship.
How many datums does a position tolerance need?
It depends on the degrees of freedom to control. A hole pattern often uses a primary, secondary and tertiary datum reference frame.
Are the numerical ratios universal rules?
No. They are practical starting references. Final specifications must follow function, fit, process capability, inspection capability and cost.
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