Length of Catenary/wire

[KillBill7]

I am wondering if anyone knows how to calculate the length of the wire between two points when the other variables like the tension, sag, weight of the wire are known.

 

[JAE]

Don't know if this is a help:

http://home.earthlink.net/~w6rmk/math/catenary.htm

 

[Denial]

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

http://rmniall.com