Removing the CPU will kill any possible beep codes.
First thing, system specs - including brand and model of PSU?
Then a quick check: unplug everything from the motherboard except CPU and heatsink, PSU, case speaker (if you do not have one, you really need one), and the case wiring.
Try to turn the system on. Silence indicates a problem with the PSU, motherboard, or CPU in that order.
If you do not have any motherboard LED's on, your problem is likely to be the PSU.
After that, work systematically through our standard checklist and troubleshooting thread:
http://www.tomshardware.com/forum/261145-31-read-posting-boot-problems
I mean work through, not just read over it. We spent a lot of time on this. It should find most of the problems.