I can find nothing to indicate this is a common problem.
Instead it opens up the possibility for many things.
I suggest you do a Google search for --> Canon 1100D will not power-on
My camera is no longer turning on. I have tried switching between two fully charged batteries and nothing. I have also tried plugin it into the laptop and its not registering any device, or even the fact that there is a SD card. I have also re-installed the set up disk that came in the box, allong with running the trouble shooting cd that was in there, which just uninstalled everything that had just been installed on there. Any ideas?