The "fan going like heck" indicates your computer gets power but can't go any further. Most common culprits are a faulty Ram stick or videocard.
As Torquila said, reseat the Ram. Also, try with only one Ram stick at a time. If that doesn't help, try with another video card if you have one, even a built-in one on the motherboard will do. If you don't have one, try without the vidcard. You can try booting also without Ram. You are likely to hear beeps, indicating the motherboard is able to recognize a missing vidcard or missing Ram.