I see a number of people viewed this post and no one replied yet...
So, I'll take a stab at it to get it going.
Your motherboard should normally beep when you boot up and when everything is fine most motherboards beep once. If you still hear beeps then you might want to find your manual or search online for what the series of beep mean. This probably means one of the main boot up components is not working properly (my guess would be overheated or power surge without knowing more detail).
Does sound like there is nothing wrong with PSU so the other approach would to test your RAM, CPU, and maybe your gfx card by swapping it with a compatible working system. If you have integrated video then try plugging in another working card into non-working system (to save a bit of work and guessing). You need RAM, CPU, and graphics card all working to boot up system.
Hope that helps.