BIZOMAT MAKEOS · Manufacturing

Radial Chip-Thinning Feed

How does reduced radial engagement change feed per tooth?

Calculate a geometric chip-thinning correction for a 90° peripheral cutter and supplied maximum chip thickness.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Cutter diametermmEffective diameter of a cylindrical cutter with a 90° entering angle.
Radial width of cutmmActual radial engagement on a straight peripheral pass, greater than zero and no greater than the diameter.
Specified maximum chip thicknessmmValidated target maximum chip thickness from supplier data or an approved process.
Spindle speedrpmProposed speed checked against machine, cutter and workholding limits.
Effective cutting teethteethEffective cutting teeth used in the feed calculation.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Cutter diameter
Illustration: Cutter diameterA circle with a line straight through its centre from edge to edge, marking the diameter Cutter diameter.Dmeasured acrossthe centreExample: 10 mmCutter diameter
What it is
The cutting diameter of the end mill or side cutter with a square (90°) entering angle.
Units and format
Enter a number in mm: millimetres. The form accepts 0.001 mm to 1000000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
For a fixed width of cut, a larger diameter lowers the engagement ratio and, below half engagement, raises the feed multiplier.
Get it right
Use the actual cutting diameter, not the shank diameter, for reduced-neck or undersize tools.
What this means: Radial width of cut
Illustration: Radial width of cutA surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Radial width of cut.aeoriginal surfaceExample: 1 mmRadial width of cut
What it is
How far the cutter engages into the side of the material, measured across the cutter at right angles to the feed direction (often called ae or stepover).
Units and format
Enter a number in mm: millimetres. The form accepts 0.001 mm to 1000000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Below half the diameter, a smaller width gives a thinner chip and so a higher feed multiplier.
Get it right
Do not confuse with axial depth of cut along the cutter; it must not exceed the cutter diameter.
What this means: Specified maximum chip thickness
Illustration: Specified maximum chip thicknessThe cross-section of a plate or wall with a dimension across its thickness, marking Specified maximum chip thickness.hexsection through the materialExample: 0.05 mmSpecified maximum chip thickness
What it is
The maximum chip thickness you want each tooth to cut, taken from the tool supplier’s data or a proven process.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 100 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.05 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Feed per tooth and table feed are directly proportional to this value.
Get it right
Do not enter the catalogue feed per tooth for full slotting unless the supplier states it as the chip thickness.
What this means: Spindle speed
Illustration: Spindle speedA turning disc with a marker; Spindle speed is how many full turns it makes in each minute.turns of the shaftper minutenExample: 2000 rpmSpindle speed
What it is
The rotational speed of the spindle and cutter you plan to run.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.001 rpm to 1000000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2000 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Table feed is directly proportional to spindle speed.
Get it right
Check it against the machine, tool and workholding limits before using the feed.
What this means: Effective cutting teeth
Illustration: Effective cutting teethA gear with its teeth around the rim; Effective cutting teeth is the number of teeth.zteeth countedaround the rimExample: 4 teethEffective cutting teeth
What it is
The number of cutting edges on the cutter that actually cut in each revolution.
Units and format
Enter a number in teeth: a whole number of teeth. The form accepts 1 teeth to 1000 teeth. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 teeth as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Table feed is directly proportional to the number of teeth.
Get it right
Count only effective edges; some cutters have unequal or non-cutting flutes.

Method and formulas

  1. Let r = width/diameter. Below r = 0.5, factor = 2√[r(1 − r)]; at or above 0.5, factor = 1.
  2. Feed per tooth = maximum chip thickness/factor. Table feed = feed per tooth × teeth × RPM.
  3. Example: 1 mm engagement on a 10 mm cutter gives factor 0.6. A 0.05 mm chip requires 0.083333 mm/tooth, giving 666.667 mm/min with 4 teeth at 2000 rpm.

Limitations

  • Straight peripheral milling with a 90° entering angle only. Ball-nose, round-insert, high-feed and changing-engagement paths need other models.
  • Very small engagement can request very high feed. Machine dynamics and tool limits still govern.
  • No suitable chip thickness is selected and no machine program is issued.
  • Default values are worked examples, not recommended settings or material properties.

Typical uses

  • radial engagement
  • chip thinning
  • feed per tooth

Who it is for

  • CNC programmers
  • Manufacturing engineers

What you get

  • Chip-thickness factor
  • Corrected feed per tooth
  • Calculated table feed

Interpreting the result

  • Check corners, entry and increased engagement across the whole path.
  • Compare the calculation with supplier limits, then validate the process.

References

  • Sandvik Coromant: Milling formulas and definitions — https://www.sandvik.coromant.com/en-gb/knowledge/machining-formulas-definitions/milling-formulas-definitions
  • Harvey Performance: How to combat chip thinning — https://www.harveyperformance.com/in-the-loupe/combat-chip-thinning/

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Open the Radial Chip-Thinning Feed calculator