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Length of Catenary/wire
- Thread starter KillBill7
- Start date
Don't know if this is a help:
If the two end points of the catenary are at the same height it can be shown that the length around the curve is given by
L[1 + (8/3)r^2 - (224/45)r^4 + ...]
where
L is the horizontal distance between the two end points
r = sag ratio = sag/L
For sag ratios up to 0.3 this formula has an error of less than 1%, but it deteriorates rapidly for larger sag ratios.
If your case does not have its end points at the same height, you can use a spreadsheet I have developed, downloadable from
L[1 + (8/3)r^2 - (224/45)r^4 + ...]
where
L is the horizontal distance between the two end points
r = sag ratio = sag/L
For sag ratios up to 0.3 this formula has an error of less than 1%, but it deteriorates rapidly for larger sag ratios.
If your case does not have its end points at the same height, you can use a spreadsheet I have developed, downloadable from
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