Fareed Mohmed
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Tolerances, Fits and GD&T

Which of these tolerances does the part really need, and can the shop measure the ones it keeps?

Tolerances and GD&T are how a drawing says what has to be right and what does not. Tight where the function needs it and loose everywhere else is the cheapest way to make a good part. This page has a limits calculator, an ISO 286 fit calculator that draws the hole and shaft zones, a tolerance stack-up with worst case and RSS, the 14 GD&T symbols, a builder that draws a feature control frame, and a guide to which gauge can check a given tolerance.

Control sizeControl formControl orientationControl locationInterchangeableLower cost
1Why tolerances and GD&T?

Interchangeable parts

Any part from any batch fits any mating part.

Control function, fit and alignment

Say how the part must work, not only how big it is.

Reduce manufacturing cost

Open every tolerance that does not matter.

Improve quality and reliability

Fewer surprises at assembly and in service.

Clear communication

Design, manufacturing and inspection read the drawing the same way.

Specify only what is necessary

Over-tolerancing is one of the cheapest ways to waste money.

2Limits, tolerance and deviation

Limits calculator

upper limit = nominal + upper deviation
lower limit = nominal + lower deviation
tolerance = upper limit − lower limit
TypeExample
Bilateral tolerance50 ± 0.1
Unilateral tolerance50 +0.1 / 0
Limit dimensioning49.90 to 50.10
Basic dimension (GD&T)boxed 50, with tolerance in the frame
3ISO fits: clearance, transition and interference

In the hole basis system the hole is H (lower deviation zero) and the shaft letter sets the fit. A fit is clearance if the shaft is always smaller, interference if always larger, and transition if either can happen.

ISO 286 fit calculator

ApplicationTypical fit
Free runningH8/f7, H9/d9
Sliding (easy movement)H7/g6
Location, clearanceH7/h6
Location, transition (accurate)H7/k6, H7/n6
Press fit (light interference)H7/p6
Press fit (permanent)H7/r6, H7/s6 (not in the calculator)

The calculator uses the ISO 286 tables for sizes 1 to 500 mm, hole grades H6 to H11 and shaft letters d to p. Shaft grades are limited where the standard changes the rule: k, m, n and p use grades 5 to 7. For bearing seats use the Bearing Fit Calculator. Sizes at a range boundary (for example 30 mm) fall in the lower range.

Show the IT grade values used (micrometres)
4Tolerance stack-up (chain analysis)

Stack-up calculator

PartNominal (mm)± Tol (mm)Direction
worst case: Tol = T1 + T2 + T3 ...
RSS (statistical): Tol = √(T1² + T2² + T3² ...)

Direction + adds the dimension to the chain, − subtracts it (use for a gap or clearance). Worst case means every part is at its extreme at once, so it is always safe. RSS assumes independent, centred, normally distributed dimensions, so it is more realistic for many parts but is not a guarantee. Use it only where the process is under statistical control.

5Datums and the datum reference frame
DatumRoleDegrees of freedom it removes
APrimary datum: a plane3 (one translation, two rotations)
BSecondary datum: a line or plane2
CTertiary datum: a point or plane1

Together A, B and C remove all six degrees of freedom, so every measurement starts from the same place the part is held in assembly. Choose datums from how the part mounts and locates, not from how it is easiest to measure.

6GD&T symbols

ASME Y14.5-2018 no longer uses concentricity and symmetry (position or profile are used instead). They remain in ISO 1101, so they appear here.

7Feature control frame builder

Build a frame

8Inspection: which gauge can check it?

Measurement capability

MethodTypical accuracyVerdictGood for

The verdict compares typical accuracy with the total tolerance band (2 × the value above). The ideal is a gauge ten times finer than the band; four times is the usual minimum. Accuracy figures are typical for ordinary shop equipment, so use your calibrated equipment’s own specification.

9Functional tolerancing: tolerance what matters

Do

  • Define functional datums from how the part is assembled and used.
  • Use fits for mating features and GD&T for form, orientation and location.
  • Use standard tolerance grades (ISO).
  • Perform tolerance stack-up for critical chains.
  • Specify the inspection method for critical features.

Avoid

  • Tolerance everything to the same tight value.
  • Datums chosen only for easy measurement.
  • Notes that conflict with the drawing frames.
10Try it: tolerance and GD&T checklist

Tolerance scorecard

    Remember

    Related
    HubDesign for ManufacturingThe full DFM section with a learning path.LearnDFM FundamentalsWhat DFM is, the core principles, cost drivers and a review scorecard.DesignDFM for CNC MachiningTool radius, pockets, holes, walls, machining time and tolerance checks.EstimateManufacturing Cost EstimationPart cost build-up, batch effect, make or buy and lifecycle cost.DesignDesign for Assembly (DFA)Part count, design efficiency, poka-yoke, access and the DFA impact.
    Sources and notes

    Fit values come from ISO 286 tables for 1 to 500 mm. Check any critical fit against the standard or your bearing and gauge makers. Gauge accuracy figures are typical, not guarantees.