Difference between revisions of "Chain Length Calculation"
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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'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== | |
[[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
Contents
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.
