No need to hold the drill shaft
This Guy I know (I see him in the mirror every morning) read claudio's post and thought something to the tune of "well, that allen wrench trick is fine, but how do I manage to prevent the drill shaft from turning?"
What did he do? Between the installed keyless drill chuck and the drill body there was a shaft visible with two flat sides, perfect to grab with a wrench - if there was a way to get there that is. First action was to remove some kind of collar at the rear end of the drill chuck (some kind of plastic, easy to remove by letting the drill spin and use an old drill bit for some kind of lathe-like action). Now it was possible to get to the shaft, all that was needed was a wrench (about 15 mm wide) with a thickness of about 3/32". Using some steel angles clamped to the shaft in a vise didn't work, neither did some cheesy bicycle tool. Last resort was to grind a perfectly good wrench to fit in there, apply an enormous amount of force and ...
...the flat sides of the shaft where rounded?!?
That was the time this guy called ishams (planetools.com - the shop where the drill was bought from) and two minutes later the chuck exchange was complete.
So, what's the point of this post? Save yourself some time, just put the allen wrench in the chuck, hit it (the allen wrench) with a hammer (sharp blows) a few times in the right direction an the old chuck comes right off. The friction inside the drill is enough to hold the shaft.
By the way - That visible part of the shaft he tried to hold belonged to the chuck
Mario (back to building an airplane)