Well, if the CPU fan is not running, then there may be a power supply (or fan) problem. I doubt your issue is the monitor, though possibly the video board (integrated or otherwise) may be fubar. I assume you get no BIOS splash/boot screen?
Hi , the beeps is the BIOS device designating the first fault via POST testing of the mainboard during booting http://www.computerhope.com/beep.htm
Just define the long short sequence of beeps and consult the BIOS vendor or service manual BEEP list to define the faulty device or sub-system
If in doubt note your computer vendor and model number and BEEP sequence here, as with that information I am sure someone will be able to ascertain the POST detected fault
ps - ensure the +12v cpu power supply is connected to the socket beside the cpu