Contrary to what was said above multiple chimes on a mac pro is not a indication of bad ram on a mac pro. Bad ram indications by POST are 1 and 3 flash sequences of the light on the power button. I'm not saying you don't have bad ram, only that multiple beeps is not the indicator.
If the power button does indicate a ram problem you should see a lit diagnostic led near the dimm slot(s) that are a problem. There's also another bank of diagnostic leds on the motherboard as well. I suggest you look inside when this problem occurs and look for lit diagnostic leds.
Note, when pushing the power button the diagnostic leds near the dimms will flash momentarily. That is normal.
It sounds to me the if you are hearing repeated beeps, that possibly the machine is trying to boot, the boot fails, and then tries to reboot again, etc.
This maybe be due to a disk problem, or a corrupt version of the OS. So you should see if you can boot from your installer dvd (a failure doing this probably does mean a hardware problem) and run disk utility to repair the boot drive.