How do you calculate straight taper geometry?
Calculate straight taper ratio, half-angle, included angle, axial length and an optional theoretical center-offset comparison. Geometric straight-taper calculation only. No standard taper designation, fit allowance, tolerance, feeds, speeds or machine setup approval is supplied.
Which measurements should you enter?
Measure axial length rather than the sloping surface length. Large and small diameters must use the same unit as that axial length.
Which equation gives the result?
Diameter taper per length = (large − small)/axial length; half-angle = arctan((large − small)/(2 × length)); axial length from half-angle = diameter difference/(2 × tan(half-angle))
What does a worked example show?
Diameters of 40 and 30 mm across 100 mm axial length give a 0.1 diameter taper ratio. The half-angle is approximately 2.8624 degrees; the included angle is 5.7248 degrees.
Which assumptions affect the estimate?
The half-angle belongs to one side of the taper. The included angle is twice the half-angle, so substituting one for the other changes the result.
What should you verify before using the result?
The optional center offset is theoretical geometry using actual center distance. It is not machine setup approval, a fit tolerance or a standard taper designation.
How do you keep units consistent?
Select measurement units before entering dimensions. Keep density, price and product coverage units attached to their labels. The calculator converts geometry but does not invent a missing supplier value.
Which input units apply to this worksheet?
The table lists the field units and the condition in which each input is used.
| Input | Units | Condition |
|---|---|---|
| Large-end diameter | in / mm | all modes |
| Small-end diameter | in / mm | all modes |
| Axial taper length | in / mm | mode:dimensions |
| Specified half-angle in degrees | as labeled | mode:angle |
| Actual workpiece length between centers (optional) | in / mm | all modes |
How can you compare and save scenarios?
Calculate a baseline, add it to comparison and change one project value. Copy or share the result, download the order sheet or print inputs and results. Reload and clear controls return the worksheet to blank numeric inputs.
Which tools help with the next calculation?
Continue with True Position Calculator and Thread Calculator. Check scope and units before transferring the result.
