— Shaft straightness (with diameter)
Axis straightness · Forma · 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 derived axis of the cylindrical element must remain within a tolerance cylinder of 0.03 mm diameter along its entire length, with respect to datum A.
What controls
Straightness applied to the derived axis (the theoretical center) of a cylindrical feature, not to its surface. With ⌀ before the value, the tolerance zone is an imaginary cylinder of that diameter within which the real axis must stay over its whole length — not a pair of planes as in line straightness. It's the correct way to control the complete axis of a shank or stud; being a feature of size, it's the only straightness that accepts Ⓜ or Ⓛ.
How to verify
On a CMM, several circular sections are taken along the axis, the center of each is computed by least squares and the deviation of the resulting axis from a fitted straight line is evaluated. In a shop without a CMM, a practical approximation is measuring runout at several axial positions with the part turning between centers: if the runout varies systematically (not randomly) along the axis, it indicates real axis curvature, not just clamping eccentricity.
tolerance zone
Imaginary cylinder with diameter equal to the tolerance value; the real shaft must be inside for its entire length.
Workshop guideline values
- General
- 0.05–0.15 mm on general machining shafts and studs.
- Accuracy
- 0.01–0.03 mm on ground shafts or guided bushings.
- High precision
- 0.003–0.008 mm on precision spindles or axes.
As a guideline: the value of the plane always rules.
Common mistakes when interpreting it
- Forget the ⌀ in front of the value: without it, the zone is a space between two planes, not a cylinder, and the acceptance criterion changes.
- Measure only the diameter of the part and assume that the straightness of the shaft is guaranteed: a shaft can meet its diameter measurement along its entire length and still be curved.
How to get it in the workshop / if it comes out of tolerance
Very common on long shafts and studs: the symbol goes in the frame with ⌀ in front of the value. A bent shaft may pass diameter but fail straightness.
The most common cause on long shafts is deflection from cutting force: reduce feed and depth of cut, use fixed or traveling steady rests, and avoid excessive overhang between chuck and tailstock. If the shaft comes out bent after hardening, it's thermal distortion: apply controlled straightening or leave stock to grind after the treatment, not before.
Alternative symbol:⌀ —
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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