1. The problem statement, all variables and given/known data I have attached a scanned file of the problem outline, including all known data. For the initial curve, H, (horizontal force) is constant, while for the final curve, H', is a combination of the initial H and the stress added by the point load, P. I run into issues trying to solve this problem because the addition of the point load changes Xc and Yc in ways which I can't calculate (and therefore can't define the final catenary). A good start would be calculating H', but I am also unclear how to do this since I don't know the angles at the supports. 2. Relevant equations Included in image. 3. The attempt at a solution I would even be happy with a simpler solution at first where the point load is applied at the initial Xc and Yc, allowing the catenary to be split in to two catenaries, but I don't know how the load affects the sag, or Yp, which means I don't know the co-ordinate required to split up the two curves. Really, any help is appreciated! Thanks.