Chain Length Calculation: Difference between revisions

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[[Image:Chain-layout-model.gif]]
[[Image:Chain-layout-model.gif]]


A chainwheel is not round. Rather, it is a polygon with facet lenth of the chain pitch. The chain leaves the chainwheel, on average, tangent to the pitch diameter. The chain then travels in a (theoretically) straight line to the other chainwheel, meeting it in a similar fashion.
This makes for some interesting math.


===The most accurate math===
===The most accurate math===

Revision as of 00:03, 5 December 2006

Understanding the Problem

A chainwheel is not round. Rather, it is a polygon with facet lenth of the chain pitch. The chain leaves the chainwheel, on average, tangent to the pitch diameter. The chain then travels in a (theoretically) straight line to the other chainwheel, meeting it in a similar fashion.

This makes for some interesting math.

The most accurate math



Some Approximations

Some Data



Tabular Example