BIZOMAT MAKEOS · Manufacturing

Inch Milling Setup Check (Speed, Feed, Removal Rate, Spindle Power)

For a milling cut set up in surface feet and inches per tooth, what spindle speed and table feed do I program, and does the machine have the speed and power for it?

Check of an inch-unit milling setup: spindle speed from surface speed and cutter diameter and table feed from teeth and feed per tooth (as the inch speeds and feeds tool), capped at the machine’s top speed with the surface speed and feed that result, then the metal removal rate from width and depth of cut and the spindle power from a unit power for the material, against the machine’s motor power and efficiency.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Surface speedft/minSurface speed recommended for the cutter and material.
Cutter diameterinDiameter of the cutter.
Number of teethteethNumber of cutting teeth (flutes).
Feed per toothinFeed per tooth (chip load).
Cut and machine
Width of cut (radial)inRadial width of cut.
Depth of cut (axial)inAxial depth of cut.
Unit power of the materialhp per in³/minPower to remove one cubic inch per minute of the material (from the tool or machine maker).
Spindle speed limitrpmHighest spindle speed of the machine.
Spindle motor powerhpRated spindle motor power.
Machine efficiency%Share of motor power that reaches the cutter.

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: Surface speed
Illustration: Surface speedA marker moving along a track; Surface speed is the distance it covers per unit of time.sfmdistance ÷ timeExample: 400 ft/minSurface speed
What it is
The speed at which the cutting edges pass over the work, in surface feet per minute, chosen for this cutter material and workpiece material. The tool converts it to spindle speed using the cutter diameter.
Units and format
Enter a number in ft/min: ft/min. The form accepts 0.000001 ft/min to 100000 ft/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 400 ft/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Spindle speed, table feed, removal rate and power all rise in proportion to it until the spindle speed limit is reached.
Get it right
Take it from the cutter maker’s data for your tool coating and work material; a carbide figure used with a high-speed steel cutter will burn the tool.
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: 0.5 inCutter diameter
What it is
The cutting diameter of the milling cutter or end mill, measured across the cutting edges through the axis. It turns surface speed into spindle speed and limits the width of cut.
Units and format
Enter a number in in: inches. The form accepts 0.000001 in to 1000 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.5 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger cutter needs a lower spindle speed for the same surface speed, so the table feed falls; the width of cut must not exceed it.
Get it right
Use the actual cutting diameter, not the shank diameter; a reground cutter is smaller than its nominal size.
What this means: Number of teeth
Illustration: Number of teethA row of identical items being counted; Number of teeth is how many there are.zExample: 4 teethNumber of teeth
What it is
How many cutting edges (flutes or inserts) the cutter has around its circumference. Each tooth takes one chip per revolution.
Units and format
Enter a number in teeth: a whole number of teeth. The form accepts 1 teeth to 500 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, removal rate and spindle power rise in proportion to the number of teeth.
Get it right
Count only effective teeth; on some insert cutters not every pocket cuts at full depth.
What this means: Feed per tooth
Illustration: Feed per toothA cutting tool moving along a turning workpiece; Feed per tooth is how far the tool advances for each revolution or tooth.iptadvance perrev or toothExample: 0.002 inFeed per tooth
What it is
The distance the table advances for each tooth that passes through the cut, also called chip load. It sets the chip thickness each edge takes.
Units and format
Enter a number in in: inches. The form accepts 0.000001 in to 1 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.002 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Table feed, removal rate and spindle power rise in proportion to it.
Get it right
Enter the feed per tooth, not per revolution: divide a per-revolution feed by the number of teeth.

Cut and machine

What this means: Width of cut (radial)
Illustration: Width of cut (radial)A bar with a dimension line and arrows from one end to the other, marking the length Width of cut (radial).wocExample: 0.25 inWidth of cut (radial)
What it is
How far the cutter is engaged sideways into the work, measured across the cut at right angles to the cutter axis (radial engagement or stepover).
Units and format
Enter a number in in: inches. The form accepts 0.000001 in to 1000 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.25 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and spindle power rise in proportion to it.
Get it right
It cannot exceed the cutter diameter; the tool flags a width larger than the cutter.
What this means: Depth of cut (axial)
Illustration: Depth of cut (axial)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).docoriginal surfaceExample: 0.5 inDepth of cut (axial)
What it is
How far the cutter is engaged along its own axis, measured from the cut surface to the lowest point of the cut (axial engagement).
Units and format
Enter a number in in: inches. The form accepts 0.000001 in to 1000 in. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.5 in as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Removal rate and spindle power rise in proportion to it.
Get it right
For a side cut with an end mill this is the length of flute in contact, not the depth into the side wall.
What this means: Unit power of the material
Illustration: Unit power of the materialA price tag on one unit of measure; Unit power of the material is the cost for each unit (per hour, per kilogram and so on).Kucost foreach unitExample: 1 hp per in³/minUnit power of the material
What it is
The power the spindle must deliver at the cutter to remove one cubic inch of this material per minute. It reflects how hard the material is to cut.
Units and format
Enter a number in hp per in³/min: hp per in³/min. The form accepts 0.000001 hp per in³/min to 20 hp per in³/min. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 hp per in³/min as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Spindle power needed rises in proportion to it.
Get it right
Take it from the tool or machine maker’s data for your material; the limitations note that a dull tool can need up to half as much again.
What this means: Spindle speed limit
Illustration: Spindle speed limitA turning disc with a marker; Spindle speed limit is how many full turns it makes in each minute.turns of the shaftper minutenmaxExample: 8000 rpmSpindle speed limit
What it is
The highest speed the machine spindle can run. If the speed worked out from surface speed is higher, the tool runs the spindle at this limit and recalculates the surface speed and feed.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 1000000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8000 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower limit caps the spindle speed, which lowers the table feed, removal rate and power needed.
Get it right
Use the spindle’s rated top speed, or a lower limit set by the tool holder or the cutter maker if that is lower.
What this means: Spindle motor power
Illustration: Spindle motor powerA motor driving a shaft; Spindle motor power is the rate at which it does work, energy per second.hpExample: 5 hpSpindle motor power
What it is
The rated output of the spindle drive motor, the power available before losses in the belts, gears and spindle bearings.
Units and format
Enter a number in hp: hp. The form accepts 0.000001 hp to 10000 hp. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 hp as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the continuous rating from the machine plate or manual, not a short-time peak rating.
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 the spindle drive, belts, gears and bearings.
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
Power needed at the motor is the cutting power divided by this share, so a lower efficiency raises it.
Get it right
Type the percentage itself (80 for 80 %), not a fraction; take it from the machine maker if known.

Method and formulas

  1. Speed = 12 × sfm ÷ (π D); feed = speed × teeth × feed per tooth (as the inch speeds and feeds tool).
  2. Speed capped at the machine limit; surface speed and feed recalculated at the capped speed.
  3. Removal rate = width × depth × feed; power = removal rate × unit power ÷ efficiency.
  4. Example: 3,055.8 rpm and 24.446 in/min remove 3.0558 in³/min, needing 3.8197 hp.

Limitations

  • Unit power varies with tool sharpness, rake and chip thickness; dull tools need up to half as much again.
  • Tool deflection, chatter and work holding limit the cut separately.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check an end mill setup on a small mill
  • See whether a cut needs a bigger machine
  • Work out the feed after the spindle speed is capped

Who it is for

  • Machinists
  • CNC programmers
  • Process planners

What you get

  • Spindle speed and table feed
  • Removal rate
  • Spindle power against the machine

Interpreting the result

  • When the spindle speed is capped, keep the feed per tooth and accept a lower table feed rather than raising the chip load.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1013–1017, 1084–1101. Topic reference; no source tables or recommended settings are reproduced.

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