Bad shutter..?
That looks like a bad shutter issue/error, but TYPICALLY the mirror would move even if the shutter was bad...
Since the mirror is not moving, it could be:
the mirror box
drive motor(the mirror and shutter share the same motor IIRC)
or it is just a coincidence that the mirror is not moving..
I hear a click, but nothing moves..
most times, to me, that would mean that something broke off, as in the little "arm" that the shutter is moved with..is there a rattle inside the camera?(more so than what would normally be heard)
I have done shutter repairs to several 40Ds, and it only cost me $50 for the new shutter...
but, if you send it to Canon, I would expect a bill of ~$200-230 or so..and it will be done right, or everything will be checked out..so I will always recommend using Canon service for things like this..
But, at ~$230, is it even worth it..? I think I would look into Canon CLP with it, or at the very least look around at other service centers for possibly lower cost(Toshio, Pro Camera Repair, etc, I have no affiliation or experience with anyone other than Canon Service Centers...)..
Tough luck..sorry!
Hope you get it back up and running.. 