# How to Use a Dividing Head - The Ellis Dividing Head

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How to Use a Dividing Head:

Indexing Charts & Plate Guide

Andrew Prestridge | September 8, 2020

## What is a Dividing or Indexing Head?

Dividing Heads (often called indexing heads) are machine tools used to provide *controlled* and *repeatable* rotation to a tool or workpiece, usually as an accessory to a milling machine, grinder, or lathe. A classic and personal favorite in our machine shop is the Ellis Dividing Head, but you can also find a different manufacturer's dividing head that would fit your needs. What makes it work inside the housing is a **worm and worm gear transmission**. Regardless of the brand they usually come in **gear ratios of 40:1 or 90:1**. Electronic rotaries (with an encoder and servo, like those found in Haas mills) more often have a ratio of 60:1

*Ellis Dividing Head - annotated original image*

Dividing heads are closely related to **rotary indexers**, but with a key operational difference: Rotary indexers use a scale and show the angle of rotation (from 0 to 360 degrees), while dividing heads use pre-defined plates to rotate a fixed amount. These plates are generally circular with multiple rows of equally-spaced holes.

Using a dividing or indexing head requires you to know just how far to rotate the device for the project you're working on. Generally the indexer will jump from one hole to another, so the rotational amount is the same. However, you will need to calculate** how many full rotations**, and** how many holes** in **which circular pattern** to go just the rotation you need.

Fortunately, all of this math can be avoided by following the chart for your device.

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**Dividing Head Indexing Plates *** (40:1, 60:1, 90:1)*

*(40:1, 60:1, 90:1)*

This plate can be used either directly, or through a geared dividing mechanism. In direct indexing the workpiece and plate rotate in a 1-to-1 ratio, and holes are used directly. That is, a plate with 12 holes can divide the workpiece into 2, 3, 4, 6, or 12 equal segments. A dividing head incorporates an internal gear ratio (usually 40:1, 60:1, or 90:1) with the same plates. In doing so, the dividing head enables many more combinations than just direct indexing.

For example, imagine a plate with 15 equally-spaced holes and a dividing head with a 40:1 gear reduction. In direct indexing, a workpiece could be divided into 3, 5, or 15 equal segments. Using the dividing head, the same workpiece could be divided into 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, or 600 segments. Essentially, the dividing head acts as if it’s a direct indexer with 600 holes; 15 holes in the actual plate * 40:1 gear ratio. Let’s look at how some of these combinations are possible.

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**Dividing Head Calculator**

*Ellis Dividing Head Indexing Plate #32 - own work*

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**Dividing Head Formula **

With a 40:1 gear ratio, you’d need to turn the crank on the dividing head 40 full turns to rotate the workpiece once. To get 6 equal divisions, you’d need 40/6 = 6+2/3 = 6.66666 turns. The 6 turns are easy, but the remaining 0.66666 needs the holes on the plate.

If we multiply the partial turn by the number of holes on the plate, we’ll know exactly how far to advance the diving head: 0.66666*15 = 10 holes. Putting these together, to divide the piece into 6 segments you would rotate the dividing head 6 turns and 10 holes.

To get 75 equal segments we’ll follow the same process: 40/75 = 0.53333 turns. Now, there is no full rotation, but 0.53333*15 = 8 holes. So if we rotate the dividing head forward by 8 holes each time, it will divide the workpiece into 75 equal segments.

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**Dividing Head for Milling Machines**

A dividing head is a great add-on for a mill and opens the door to making gears, splines, bolt patterns, and much more. Most dividing heads allow you to angle the device (and your part) so you can hold your piece vertically, horizontally, or at any angle in-between. Vertical is great for drilling holes on a circle, like for a flange or connection, while horizontal helps for gear teeth and splines.

Check out our video on making a gear with the Ellis Dividing Head here:

## Dividing Head Summary

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**Rotary Indexer**

Uses continuous rotation and has a scale to read the rotation angle. Subject to measurement error at each measurement

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**Direct Indexing**

Fast rotation and simple division, but limited range of divisions per plate

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**Dividing Head**

More complicated division, but greatest number of options per plate

To the evolventdesign.com administrator, Thanks for the informative and well-written post!

Hi evolventdesign.com administrator, Thanks for the well-researched and well-written post!

Hello evolventdesign.com admin, Keep up the great work!

Jeff – thanks for keeping us honest – we fixed the calculator! We appreciate the feedback so we can supply these useful tools.

The calculator does 30 divisions @ 90:1 incorrectly! It returns TWO full turns (8 deg.) when the answer is THREE full turns (12 deg.).