Difference between revisions of "Chain Length Calculation"

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(The most accurate math)
(Some Approximations)
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===Some Approximations===
 
===Some Approximations===
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I'm not a big fan of approximations. Spreadsheets exist for a reason.
 +
 +
I will add some though, just for comparison.
  
 
===Some Data===
 
===Some Data===

Revision as of 00:17, 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
Another formula:
File:Emerson-ept-math.gif

Some Approximations

I'm not a big fan of approximations. Spreadsheets exist for a reason.

I will add some though, just for comparison.

Some Data

Chain-data.png

Tabular Example

Center-to-center-table.png