When you say the monitor and video card are good, I'm assuming that you have checked them on another computer.
Do you get any POST beeps from your PC's speaker during boot-up?
Recheck your cable connections between the monitor.
Make sure the video card is properly seated on the MB.
Assuming the video related hardware is good, there are several other things that could cause a failure to boot:
Bad CPU
Bad RAM chips
Bad power supply
Failed CPU fan
Failed power supply fan
You can verify the operation of the fans by simply opening the case and watching/listening.
You have to decide how much time and energy you want to put into trying to solve this problem based on how important this computer is to you (and whether youcan afford a new one).