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Machinery Repairman

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To apply the fraction 2/3 to the circle you choose,<br />

convert the fraction to a fraction that has the number<br />

of holes in the circle as a denominator. For example,<br />

if you choose the 15-hole circle, the fraction 2/3<br />

becomes 10/15. If plate 3 happens to be on the index<br />

head, multiply the denominator 3 by 13 to equal 39.<br />

In order not to change the value of the original<br />

indexing fraction, also multiply the numerator by 13.<br />

The original indexing rotation of 6 2/3 turns becomes<br />

6 26/39 turns. Thus, to mill each side of a hexagon,<br />

you must move the index crank 6 full turns and 26<br />

holes on the 39-hole circle.<br />

When there are more than 40 divisions, you may<br />

divide both the numerator and the denominator of the<br />

fraction by a common divisor to obtain an index circle<br />

that is available. For example, if 160 divisions are<br />

required, N = 160; the fraction to be used is<br />

Because there is no 160-hole circle, this fraction must<br />

be reduced. To use a 16-hole circle, divide the<br />

numerator and denominator by 10.<br />

Turn 4 holes on the 16-hole circle.<br />

It is usually more convenient to reduce the<br />

original fraction to its lowest terms and then multiply<br />

both terms of the fraction by a factor that will give a<br />

number representing a circle of holes.<br />

The following examples will further clarify the<br />

use of this formula:<br />

Example 1: Index for 9 divisions.<br />

7-13<br />

If an 18-hole circle is used, the fraction becomes<br />

4/9 × 2/2 = 8/18. For each division, turn the crank 4<br />

turns and 8 holes on an 18-hole circle.<br />

Example 2: Index for 136 divisions.<br />

There is a 17-hole circle, so for each division turn<br />

the crank 5 holes on a 17-hole circle.<br />

When setting the sector arms to space off the<br />

required number of holes on the index circle, DO<br />

NOT count the hole that the index crankpin is in.<br />

Most manufacturers provide different plates for<br />

indexing. Later model Brown and Sharpe index<br />

heads use two plates with the following circle of<br />

holes:<br />

Plate 1: 15, 16, 19, 23, 31, 37, 41, 43, 47<br />

Plate 2: 17, 18, 20, 21, 27, 29, 33, 39, 47<br />

The standard index plate supplied with the Cincinnati<br />

index head is provided with 11 different circles of<br />

holes on each side.<br />

Side 1: 24-25-28-30-34-37-38-39-41-42-43<br />

Side 2: 46-47-49-51-53-54-57-58-59-62-66<br />

ANGULAR INDEXING<br />

When you must divide work into degrees or<br />

fractions of a degree by plain indexing, remember that<br />

one turn of the index crank will rotate a point on the<br />

circumference of the work 1/40 of a revolution. Since<br />

there are 360° in a circle, one turn of the index crank<br />

will revolve the circumference of the work 1/40 of<br />

360°, or 9°. Therefore, to use the index plate and<br />

fractional parts of a turn, 2 holes in an 18-hole circle<br />

equal 1° (1/9 turn × 9°/turn), 1 hole in a 27-hole<br />

circle equals 1/3° (1/27 turn × 9°/turn), 3 holes in a<br />

54-hole circle equal 1/2° (1/18 turn × 9°/turn). To<br />

determine the number of turns and parts of a turn of<br />

the index crank for a desired number of degrees,<br />

divide the number of degrees by 9. The quotient will<br />

represent the number of complete turns and fractions<br />

of a turn that you should rotate the index crank. For<br />

example, use the following calculation to determine<br />

15° when an index plate with a 54-hole circle is<br />

available.

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