Difference between revisions of "Chain Length Calculation"
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[[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. | ||
Revision as of 11:56, 5 December 2006
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.
Here are some quick facts:
The most accurate math
Another formula:
File:Emerson-ept-math.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
Tabular Example
