Typically, truss elements are used for such applications but you could also use beams. The difference is that beams have bending stiffness while trusses don’t. The connection can indeed be tricky and might be easier with beams than with trusses. Tie constraint should handle the connection. Check this thread for some examples:
I was able to validate a catenary problem with beam elements some weeks ago.
I failed on my first attempt when I tried with truss and only tension.
There is a post in the forum with the reference to the files.
I recommend you using a strip (flat beam). Respect the overall section to recover the right stresses but reconfigure the shape to minimize the bending resistance. Don’t go too thin in thickness or it will fail. Start with some pre-shape and add damping in case you go to dynamic.
Prepare some hot Tea and patience if you go to nonlinear dynamics. Find a link to a vid with the result.