Hey All/David,

I am using an inverted catenary to form the basis of an arch structure. However, I am trying to figure out how to define height of the catenary arch.

Currently, the catenary grasshopper component has inputs:

A (pt A)

B (pt B)
L (length)

G (direction of gravity vector)

HOWEVER, since I'm not dealing with relaxed fabric or chains with a fixed length, specifying L has little meaning to me. Rather, I'm trying to set height H of the arch. Since this isn't an option to input into the component, I've been trying to figure out a way to solve for the appropriate L such that the resulting catenary has the correct H.

Since the truly mathematical way to do this involves numerical integration, I'm wondering how the catenary component finds the curve's shape (so that I can reverse engineer this) and/or what an appropriate solution of height to length would be?

Thanks!

Michael M.

P.S. I have found a discussion similar to this at

http://www.grasshopper3d.com/forum/topics/catenary-arch-from-maximum

where a solution was claimed and a screenshot of it's effects shown. However, the script/example was never posted and so I still don't have a working solution, only a claim that it's possible.