BIZOMAT MAKEOS · Manufacturing

Centerless Grinding Through-Feed Rate

How fast do parts pass through this centerless grinder, and how many per minute?

Axial through-feed rate of a centerless grinder from the regulating wheel diameter, speed and inclination angle, with work rotation speed and parts per minute.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Regulating wheel diametermmCurrent regulating wheel diameter.
Regulating wheel speedrpmRegulating wheel speed.
Regulating wheel inclination°Inclination of the regulating wheel axis (typically 1–6° for through-feed).
Work diametermmDiameter of the part being ground.
Part lengthmmLength of each part.
Gap between partsmmGap between parts as they feed through (0 for end-to-end feeding).
Feed efficiency (slip allowance)%Allowance for slip between wheel and work (about 90–98%).

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: Regulating wheel diameter
Illustration: Regulating wheel diameterA circle with a line straight through its centre from edge to edge, marking the diameter Regulating wheel diameter.Drmeasured acrossthe centreExample: 250 mmRegulating wheel diameter
What it is
The present diameter of the regulating wheel, the rubber-bonded wheel that controls the work’s rotation and axial feed.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Through-feed rate rises in proportion to the wheel diameter.
Get it right
Measure the current diameter; it reduces as the wheel is dressed.
What this means: Regulating wheel speed
Illustration: Regulating wheel speedA turning disc with a marker; Regulating wheel speed is how many full turns it makes in each minute.turns of the shaftper minutenrExample: 40 rpmRegulating wheel speed
What it is
The rotational speed of the regulating wheel, not of the grinding wheel.
Units and format
Enter a number in rpm: revolutions per minute. The form accepts 0.000001 rpm to 10000 rpm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 40 rpm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Through-feed rate rises in proportion to the regulating wheel speed.
Get it right
Do not enter the grinding wheel speed; the regulating wheel turns much more slowly.
What this means: Regulating wheel inclination
Illustration: Regulating wheel inclinationTwo lines meeting at a point with an arc between them, marking the angle Regulating wheel inclination.αExample: 3°Regulating wheel inclination
What it is
The angle the regulating wheel axis is tilted from the grinding wheel axis, which turns part of the wheel speed into axial feed.
Units and format
Enter a number in °: degrees of angle. The form accepts 0.1° to 10°. Required: the tool does not calculate until every input is valid.
Example
The form opens with 3° as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Through-feed rises with the sine of the angle, so a larger tilt feeds faster.
Get it right
Read it from the machine’s inclination scale for the current setup.
What this means: Work diameter
Illustration: Work diameterA circle with a line straight through its centre from edge to edge, marking the diameter Work diameter.dwmeasured acrossthe centreExample: 20 mmWork diameter
What it is
The diameter of the part being ground, used to work out how fast the part spins.
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 20 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Work rotation speed falls in inverse proportion to the work diameter; through-feed does not change.
What this means: Part length
Illustration: Part lengthA bar with a dimension line and arrows from one end to the other, marking the length Part length.LExample: 80 mmPart length
What it is
The length of each part along its axis as it passes through the grinder, used with the gap to count parts per minute.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 100000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 80 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
What this means: Gap between parts
Illustration: Gap between partsTwo parts separated by a small gap with a dimension across the gap, marking Gap between parts.gExample: 5 mmGap between parts
What it is
The space between the end of one part and the start of the next as they feed through; zero for parts fed end to end.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 5 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger gap lowers the parts per minute at the same through-feed rate.
What this means: Feed efficiency (slip allowance)
Illustration: Feed efficiency (slip allowance)Input on the left and useful output on the right with the loss split off; Feed efficiency (slip allowance) is output divided by input.inputuseful outputlossηExample: 95%Feed efficiency (slip allowance)
What it is
An allowance for the work moving slower than the theoretical feed because it slips against the regulating wheel, expressed as the share of theoretical feed achieved.
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 95% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Through-feed and parts per minute rise in direct proportion.
Get it right
Type the percentage (95 for 95 %). Calibrate it from measured output on your machine.

Method and formulas

  1. Through-feed f = π Dr nr sin(α) × efficiency.
  2. Work speed ≈ Dr nr cos(α) ÷ dw.
  3. Parts per minute = f ÷ (part length + gap).
  4. Example: a 250 mm wheel at 40 rpm and 3° feeds 1,562 mm/min, about 18.376 parts/min.

Limitations

  • Slip depends on wheel condition, work rest and coolant; measure actual output to refine the efficiency.
  • Stock removal per pass and number of passes are not considered.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Set regulating wheel speed and angle for a production rate
  • Estimate output of a through-feed job
  • Check work speed

Who it is for

  • Grinding machinists
  • Manufacturing engineers

What you get

  • Through-feed rate
  • Work rotation speed
  • Parts per minute

Interpreting the result

  • Increase the angle for faster feed; reduce it for finer finish and better roundness.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1259–1261. Topic reference; no source tables or recommended settings are reproduced.

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Open the Centerless Grinding Through-Feed Rate calculator