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Catenary calculation

I have a catenary wire with the following known factors:

  • P: horizontal force in wire
  • u: weight/mtr
  • s: catenary length
  • v: height difference between y1, y2

From statics follows: y= a cosh (x/a) with a= P/u

From this I can use the method displayed here to calculate h: horizontal difference between x1 and x2 using Newton’s method.

But I’m not interested in h, I want to determine the x1, x2 and y1, y2. But how do I get there?


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