Difference between revisions of "Chain Length Calculation"

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(The most accurate math)
(Understanding the Problem)
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[[Image:Chain-layout-model.gif]]
 
[[Image:Chain-layout-model.gif]]
  
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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.
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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

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

Chain-length-math.png

Some Approximations

Some Data

Chain-data.png

Tabular Example

Center-to-center-table.png