Taper Calculator

Your details

The diameter at the wider end of the tapered section.
in
The diameter at the narrower end of the tapered section.
in
The axial distance between the large and small diameter measurement planes.
in
Taper per inch (TPI)Self-holding taper
0.05445

Diameter reduction per unit of axial length

Taper per foot (TPF)0.6534
Taper ratio (1:X)18.365
Half-angle1.5595deg
Included angle3.1191deg
Diameter difference0.211
Half-angle (deg)1.5595
Included angle (deg)3.1191

Half-angle of 1.56 deg - this is a self-holding (friction-lock) taper.

  • Taper per unit length is 0.05445 in/in, equivalent to 0.6534 in/ft.
  • The half-angle is 1.5595 degrees and the full included (cone) angle is 3.1191 degrees.
  • The taper ratio is 1:18.365: for every 18.4 units of axial travel, the diameter changes by 1 unit.
  • Half-angles below about 3 degrees create enough friction to hold the tool in place under load without a draw bar. Morse and Brown and Sharpe tapers fall in this range.

Next stepCompare your TPI and half-angle values against the standard taper table below to see if your workpiece matches a recognised standard such as Morse, Jacobs, or Brown and Sharpe.

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