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Machining

Turning surface finish

In short

Theoretical Ra and Rz from feed and nose radius, max feed for a target Ra, N classes. Example with the default values: Theoretical Ra = 0.90 µm.

Calculation

Example calculated with the tool’s default values.

Inputs

Calculation
Feed and radius → roughness
Nose radius rε
0.8 mm
Feed f
0.15 mm/rev

Results

Theoretical Ra
0.90 µm
Theoretical Rz (peak height)
3.52 µm
f 0,150f 0,150Rz 3,52Rz 3,52rε 0,8f 0,150f 0,150Rz 3,52Rz 3,52rε 0,8
Dimensioned drawing of the example

Worked example

Every value in this section belongs to the example, calculated with the tool’s default values.

Other results of the example

ISO 1302 class
N7
  • Geometric roughness: the real surface is rougher (built-up edge, wear, vibration). Make a trial cut.

Step-by-step calculation

  1. Peak height

    Rz = f² / (8 rε) · 1000

    0.150² / (8 × 0.80) × 1000 = 3.52 µm

  2. Average roughness

    Ra = f² / (18 √3 rε) · 1000

    0.90 µm

Max feed by Ra, rε 0,8

ClassRa (µm)max f (mm/rev)
N40.2000.071
N50.4000.100
N60.8000.141
N71.6000.200
N83.2000.283
N96.3000.396
N1012.5000.558

Limits

Indicative results: they replace neither the applicable standards nor the job drawings and instructions. Check the values entered and the result before doing the work.

Sources

  • Kyocera, Technical information (2024), R7: Rz(h) = f² / (8 rε) × 10³ (link)
  • Géométrie du profil : Ra d’un profil parabolique de pas f : f² / (18 √3 rε)
  • ISO 1302 (Xometry, Matson) : Classes de rugosité N1 à N12 (link)

Updated · Publisher: The Level Code

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