BIZOMAT MAKEOS · Manufacturing

Cutting Speed or Feed for Full Machine Power

How fast can this cut run before it uses all the available spindle power?

Highest cutting speed (turning) or table feed (milling) that uses the available spindle power for a given depth, feed or width of cut and specific cutting force.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
OperationchoiceTurning or milling.
Available spindle powerkWSpindle power available at the speed you will run (from the machine power curve).
Machine efficiency%Overall efficiency from motor to cutting edge.
Specific cutting force kcN/mm²Specific cutting force for the material at your chip thickness (tool supplier data).
Depth of cut (axial in milling)mmDepth of cut (turning) or axial depth (milling).
Feed (turning)mm/revFeed per revolution (turning).
Workpiece diameter (turning)mmWork diameter, to give the spindle speed (turning).
Width of cut (milling)mmRadial width of cut (milling).

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: Operation
Illustration: OperationThe options for Operation, with the one currently selected highlighted.TurningMillingExample: TurningOperation
What it is
Whether the cut is turning, where the tool finds the highest cutting speed, or milling, where it finds the highest table feed rate the power allows.
Units and format
Choose one of 2 options from the list: Turning; Milling.
Example
The form opens with “Turning” selected as a worked example. Choose the option that matches your case.
Get it right
Feed and workpiece diameter are used only for turning; width of cut only for milling.
What this means: Available spindle power
Illustration: Available spindle powerA motor driving a shaft; Available spindle power is the rate at which it does work, energy per second.PExample: 11 kWAvailable spindle power
What it is
The spindle motor power available at the speed you will run, read from the machine’s power curve or manual.
Units and format
Enter a number in kW: kilowatts. The form accepts 0.000001 kW to 10000 kW. Required: the tool does not calculate until every input is valid.
Example
The form opens with 11 kW as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum speed or feed and the removal rate are directly proportional to power.
Get it right
Many spindles deliver less than rated power at low speed; use the value at your speed.
What this means: Machine efficiency
Illustration: Machine efficiencyInput on the left and useful output on the right with the loss split off; Machine efficiency is output divided by input.inputuseful outputlossηExample: 80%Machine efficiency
What it is
The share of motor power that reaches the cutting edge after losses in belts, gears and bearings, from the machine maker or your own measurement.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 1% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 80% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum speed or feed and the removal rate are directly proportional to efficiency.
Get it right
Type the percentage itself, not a fraction: 80 for 80 %.
What this means: Specific cutting force kc
Illustration: Specific cutting force kcA pressure gauge whose needle moves with Specific cutting force kc; the needle follows the value you type.kcExample: 2000 N/mm²Specific cutting force kc
What it is
The specific cutting force: the cutting force per square millimetre of chip cross-section for this work material at your chip thickness, from tool supplier data.
Units and format
Enter a number in N/mm²: newtons per square millimetre (equal to MPa). The form accepts 0.000001 N/mm² to 10000 N/mm². Required: the tool does not calculate until every input is valid.
Example
The form opens with 2000 N/mm² as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum speed or feed and the removal rate are inversely proportional to kc.
Get it right
Use the value for your chip thickness, as kc rises for thin chips; N/mm² is the same as MPa.
What this means: Depth of cut (axial in milling)
Illustration: Depth of cut (axial in milling)A surface with a step cut into it and a dimension from the original surface down to the bottom of the step, marking Depth of cut (axial in milling).aporiginal surfaceExample: 4 mmDepth of cut (axial in milling)
What it is
The depth of cut: in turning, how far the tool cuts into the radius; in milling, the axial depth along the cutter axis.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum speed or feed is inversely proportional to the depth of cut.
Get it right
In turning this is the radial depth per side, not the change in diameter.
What this means: Feed (turning)
Illustration: Feed (turning)A cutting tool moving along a turning workpiece; Feed (turning) is how far the tool advances for each revolution or tooth.fadvance perrev or toothExample: 0.3 mm/revFeed (turning)
What it is
How far the turning tool advances along the work in one revolution of the spindle.
Units and format
Enter a number in mm/rev: millimetres per revolution. The form accepts 0.000001 mm/rev to 10 mm/rev. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3 mm/rev as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum cutting speed is inversely proportional to feed.
Get it right
Per revolution, not per minute. Used only for turning.
What this means: Workpiece diameter (turning)
Illustration: Workpiece diameter (turning)A circle with a line straight through its centre from edge to edge, marking the diameter Workpiece diameter (turning).Dmeasured acrossthe centreExample: 100 mmWorkpiece diameter (turning)
What it is
The diameter of the workpiece where it is being cut, used to turn the maximum cutting speed into a spindle speed.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 100 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The spindle speed at the power limit is inversely proportional to this diameter.
Get it right
Used only for turning. It changes the spindle speed, not the cutting speed limit.
What this means: Width of cut (milling)
Illustration: Width of cut (milling)A bar with a dimension line and arrows from one end to the other, marking the length Width of cut (milling).aeExample: 50 mmWidth of cut (milling)
What it is
The radial width of cut in milling: how much of the cutter diameter is engaged across the work, measured square to the cutter axis.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 50 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The maximum table feed is inversely proportional to the width of cut.
Get it right
Used only for milling; in full slotting it equals the cutter diameter.

Method and formulas

  1. Turning: vc = P η × 60 000 ÷ (kc ap f) (m/min); n = 1000 vc ÷ πD.
  2. Milling: vf = P η × 60 × 10⁶ ÷ (ae ap kc) (mm/min).
  3. Removal rate at the limit = P η × 60 000 ÷ kc (cm³/min) for either operation.
  4. Example: 11 kW at 80% with 4 × 0.3 mm in kc 2000 allows up to 220 m/min.

Limitations

  • The tool supplier’s speed limit and the machine’s speed and torque limits may be lower than the power limit.
  • kc changes with feed and tool wear.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Plan the fastest roughing cut a machine can take
  • Find whether a cut is power-limited or tool-limited
  • Compare machines for a job

Who it is for

  • Machinists
  • CNC programmers
  • Manufacturing engineers

What you get

  • Maximum cutting speed and spindle speed (turning)
  • Maximum table feed and removal rate (milling)

Interpreting the result

  • Run at the lower of the power-limited and tool-recommended values, with a margin for wear.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1084–1101. Topic reference; no source tables or recommended settings are reproduced.

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