I agree with the fact that it is most likely the power supply, but have also seen where if a video card goes bad or the focus is changed to the integrated video vs the video card in your video card slot, and your monitor is plugged into the video card, you might get a black screen.
If there is Hard Drive activity like it is booting up, but no screen, and your motherboard has an integrated video VGA jack, I'd try swapping your monitor over to that. Also, try removing the video card and run off of integrated if there is one.... If none of this, then 90% o fthe time, its a power supply bad, lo voltage condition on one of the regulated feeds from the power supply or amperage is low and with the load of the hardware, the voltage is below operating limits.
Dve