Simple Ring Rig

Hey,
since I’m new to rigging it turned out hard to find the right option/setting to realize what I want.

So, imagine these sticks were made of wood, and there are screws, connecting them at their tips/heads

Ho to realize this with bones? (sure, no deforming; some rotation locks, and everything works fine, except that the last bone is not ‘screwed’ to the first :confused: )
In the end, how can I rig it to the (mesh-)model?

Thanks in advance!