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### Division of Lengths and Spacing Formulas and Calculators

Manufacturing Processes and Design

Division of Lengths, Composite Length Formulas and Calculators

The following formulas will determine spacing requirements for selected applications.

Where the edge distance is equal to the spacing formula:

P = l / ( n + 1 )
Eq. 1

Where:

l = Total length,
n = Number of holes or features

Where the edge distance is not equal to the spacing formula:

p = [ l - ( a + b ) ] / ( n + 1 )
Eq. 2

Where:

l = total length
p = spacing
n = number of holes
a, b = edge distances

When subdividing into pieces spacing formula:

Number of pieces formula:

Z = l / ( ls + s )
Eq. 3

or

ls = l / Z - s
Eq. 3a

Remaining length formula:

lr = l - Z · ( ls + s )
Eq. 4

Where:

l = total length
p = spacing
Z = number of pieces
ls = piece length
lr = remaining piece length
s = saw cutting length (kerf)

References:

Mechanical and Metal Trades Handbook, 2nd Edition
2010
Ulrich Fischer, Roland Gomeringer, Max Heinzler, Roland Kilgus, Friedrich Naher, Stefan Oesterle, Heinz Paetzold, Andreas Stephan

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