Online Tools

Taper & chamfer calculator

Calculate geometric relationships between diameter, length, angle and depth.

How to use

Calculation inputs

Calculation result

Enter the values; results update automatically.

Uses ideal straight-sided geometry. The taper ratio is (D − d) / L, not 1:n notation. Chamfer depth is radial, not the diameter difference. Tool radius and tolerances are excluded.

How to use

For taper, enter the large and small diameters and axial length in mm. For chamfer, enter radial depth in mm and the angle to the axis between 0° and 90°. Half-angle and included angle are shown separately.

Example calculation

Diameters of 40 and 20 mm over 100 mm give a half-angle of about 5.711°, included angle 11.421° and taper ratio 0.2. A 2 mm radial depth at 45° gives 2 mm axial width and a 2.828 mm face.

Calculation method

α = atan((D − d) / (2L)); β = 2α; k = (D − d) / L; w = h / tan θ; s = h / sin θ

Calculation limits

Uses ideal straight-sided geometry. The taper ratio is (D − d) / L, not 1:n notation. Chamfer depth is radial, not the diameter difference. Tool radius and tolerances are excluded.

Sources