Difference between revisions of "Chain Length Calculation"

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(The most accurate math)
 
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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==
 +
[[Image:Chain-length-math.gif]]
 +
<br>
 
Here are some quick facts:
 
Here are some quick facts:
  
 
[[Image:Chain-math-details.gif]]
 
[[Image:Chain-math-details.gif]]
  
===The most accurate math===
 
[[Image:Chain-length-math.png]]
 
<br>
 
  
 
<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>
===Tabular Example===
+
==Considerations for Motorcycles (Simple Swingarm)==
 
[[Image:Center-to-center-table.png]]
 
[[Image:Center-to-center-table.png]]
 +
 +
==For Single Speed Mountain Bikes==
 +
 +
[[Image:Gear-choice-histogram-possible.gif]]
 +
 +
Theoretical center distance. Alfa = 1. For a good chain alfa can be in the range of 1.001 and 1.005.
 +
[[Image:Bicycle-Magic.gif]]
 +
 +
==See Also==
 +
 +
http://www.gearingcommander.com/
 +
 
[[Category:Motorcycle]]
 
[[Category:Motorcycle]]
 
[[Category:Drivetrain (Motorcycle)]]
 
[[Category:Drivetrain (Motorcycle)]]
 
[[Category:Bicycle]]
 
[[Category:Bicycle]]
 
[[Category:Drivetrain (Bicycle)]]
 
[[Category:Drivetrain (Bicycle)]]

Latest revision as of 11:15, 29 January 2008

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, 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

Chain-length-math.gif
Here are some quick facts:

Chain-math-details.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

Considerations for Motorcycles (Simple Swingarm)

Center-to-center-table.png

For Single Speed Mountain Bikes

Gear-choice-histogram-possible.gif

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

See Also

http://www.gearingcommander.com/