Chain Length Calculation: Difference between revisions

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===Understanding the Problem===
==Understanding the Problem==


[[Image:Chain-layout-model.gif]]
[[Image:Chain-layout-model.gif]]
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This makes for some interesting math.
This makes for some interesting math.


===The most accurate math===
==The most accurate math==
[[Image:Chain-length-math.gif]]
[[Image:Chain-length-math.gif]]
<br>
<br>
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<br>
<br>


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


I will add some though, just for comparison.
I will add some though, just for comparison.


===Some Data===
==Some Data==
[[Image:Chain-data.png]]
[[Image:Chain-data.png]]
<br>
<br>
<br>
<br>
===Considerations for Motorcycles (Simple Swingarm)===
==Considerations for Motorcycles (Simple Swingarm)==
[[Image:Center-to-center-table.png]]
[[Image:Center-to-center-table.png]]



Latest revision as of 11:15, 29 January 2008

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, at maximum, 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


Here are some quick facts:



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



Considerations for Motorcycles (Simple Swingarm)

For Single Speed Mountain Bikes

Theoretical center distance. Alfa = 1. For a good chain alfa can be in the range of 1.001 and 1.005.

See Also

http://www.gearingcommander.com/