Lucky, sounds like fun. Even in our higher mechanics course (M4 OCR) we don't cover anything like that I think.
Closest we've come was some extension showing how the cosh curve (reversed catenary) was in lowest energy state (as if hung).
And that was way off piste.
I vaguely remember covering lines of force in arches & catenaries in AS / A level maths
This looks like it might help:
http://engineeringwiki.org/wiki/Arch_Structures