Axial forces in a catenary

[victor.ramirez.arq (Víctor Ramírez)]

I’m using Hooke’s Law and the GH definition Daniel Piker posted on this thread for calculating the axial forces in a catenary cable that is only supporting its own weight. Do you think I’m obtaining the right values by adding the components shown in this picture?

And also, if I want to add a point load to the catenary, do you think the following axial force values truly correspond to the way tension forces would be distributed on a cable in real life?

Thanks for your attention! Here’s my GH definition: Axial forces in catenary.gh (25.8 KB)

Analysis of catenary

Any way to materialize a catenary into a cable with its material properties, such as cross-section area, E-modulus, etc… and then apply a point load at any given point and see deformation?