Engineering & mechanics

Open belt pitch length

Find the geometric belt length and wrap angles between two pulleys.

Open belt pitch length
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Uses the exact external-tangent geometry of an open belt around two circular pitch diameters. Centre distance must exceed the sum of the pulley radii. Returns both pulley wrap angles and the total pitch-line length. Does not include belt stretch, pretension, standard stock-size rounding or crossed-belt geometry.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

First pulley pitch diameter (mm)
100
Second pulley pitch diameter (mm)
250
Shaft centre distance (mm)
600

Example result

Open belt pitch length (mm)
1,759.16597903
Small pulley wrap (degrees)
165.638488437
Large pulley wrap (degrees)
194.361511563