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Cutting Parameters

Helical Interpolation Calculator

Helical interpolation lets an end mill bore a hole larger than itself. Enter hole diameter, tool diameter, pitch and feed rate to get the helical path radius and the feed the control needs.

Input Parameters

Results

Helical Path Radius (mm)—
Program Feed (mm/min)—
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Helical interpolation formula

Helical interpolation (helical boring) combines circular interpolation with a simultaneous Z-axis feed to create or enlarge bores with a single tool. The tool follows a helical path — a circle with a vertical pitch per revolution.

Frequently asked questions

When should I use helical interpolation vs a boring head?

Helical interpolation is faster for roughing bores and works with standard end mills. Use it for bores that don't require boring-head precision, or to rough out a bore before finishing. For tolerances under IT7, finish with a boring head or reamer.

What is the minimum bore size for helical interpolation?

The bore must be at least 1.05× the tool diameter to allow the tool to enter. For practical cutting, bore should be at least 1.2× tool diameter. Below that, the tool rubs on the bore wall and chip evacuation is poor.

How do I program helical interpolation in G-code?

G02/G03 with X, Y, Z, I, J (or R) on the same line. Example: G03 X0 Y0 Z-2.0 I10 J0 F500 — makes one full helix of 2 mm depth with 10 mm radius. Use multiple lines to stack helices for deeper bores.

How to use this Helical Interpolation Calculator

Enter the bore diameter, tool diameter, depth per revolution, and ramp angle. The calculator shows the helical path radius and the compensated feed rate to maintain the correct chip load at the tool centre.

Common mistakes to avoid

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MILLING A BORE BY INTERPOLATION? An interpolated bore depends on the cutter's true diameter, not the nominal one — worth confirming with the supplier. See what to confirm before a milling cutter order.

Need end mills for helical interpolation?

Helical interpolation keeps the cutter in continuous contact, so runout and corner geometry decide whether you hold the bore tolerance. Send the bore diameter, tool diameter and material.

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