Difference between revisions of "Chain Length Calculation"

From Pvdwiki
Jump to: navigation, search
(The most accurate math)
(For Single Speed Mountain Bikes)
Line 33: Line 33:
 
[[Image:Gear-choice-histogram-possible.gif]]
 
[[Image:Gear-choice-histogram-possible.gif]]
  
 +
Theoretical center distance. Alfa = 0.
 
[[Image:Bicycle-Magic.gif]]
 
[[Image:Bicycle-Magic.gif]]
  

Revision as of 18:29, 13 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, 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 = 0. Bicycle-Magic.gif