Construction / CALCULATOR

Conical Machining Taper

Conical Machining Taper: explore an explicit model with input checks, a formula and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

mm
Enter large diameter in mm.
mm
Enter small diameter in mm.
mm
Enter axial length in mm.

Formula

taper=(D−d)/L; half angle=atan((D−d)/(2L)).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Straight circular cone or frustum geometry. Does not select tool settings or tolerances.

Example Calculation

Example inputs
  • Large diameter: 40 mm
  • Small diameter: 20 mm
  • Axial length: 100 mm

Diameters 40 and 20 mm over 100 mm give taper 0.2 and half-angle about 5.7106°.

Frequently asked questions

How do I use this calculator?

Enter large diameter, small diameter, axial length. The result updates automatically. Use Reset to restore the example values.

What method does it use?

taper=(D−d)/L; half angle=atan((D−d)/(2L)).. Straight circular cone or frustum geometry. Does not select tool settings or tolerances.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.