So the focus ring is jammed ? It turns maybe 4-5mm each way ?
I had the same issue with mine a few weeks back, and fixed it pretty quickly
Simple fix - grab a small (000) sized screwdriver, peel the rubber ring off the focus dial carefully - somewhere around the lens will be hole, and a screw has backed out of the lens body far enough to jam in the hole - put the screw back in the hole properly (you may need to take it right out, line it up and screw it in again) and then replace the rubber.
I will take some pics of what I mean when I get a chance (hopefully tommorow) (will have to find my broken 16-35, or remember when I get to work)
For now - here is an example showing a 70-200 - you can see the screw quite clearly, they don't back out of the 70-200 body far enough to jam the focus ring like they do on the 16-35, but it shows how to access them anyway.

While your in there, tighten the rest of the screws too - once the focus ring is unjammed you should be able to turn it around freely, and see a few other screws to tighten.
Of course I take no responsibility if you damage your lens, camera, screwdriver or injure yourself.
If you aren't confident with your ability - send the lens to Canon