Chain Length Calculation: Difference between revisions
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==Understanding the Problem== | |||
[[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, | 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. | This makes for some interesting math. | ||
==The most accurate math== | |||
[[Image:Chain-length-math. | [[Image:Chain-length-math.gif]] | ||
<br> | <br> | ||
Here are some quick facts: | |||
[[Image: | |||
[[Image:Chain-math-details.gif]] | |||
<br> | <br> | ||
==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== | |||
[[Image:Chain-data.png]] | [[Image:Chain-data.png]] | ||
<br> | <br> | ||
<br> | <br> | ||
== | ==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
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.
