The fan belt is smoking, it's a brand new fan belt, just got it yesterday. The car also seemed to be doing a "chugging" like sound, as if a pump is broken or something.

SOURCE: Broken Cylinder head valves

sounds like your timing belt may have slipped or snapped a ceased timing belt adjuster could cause this check your timing belt and adjuster and all belt adjustment pulleys before you fix the valves otherwise its bound to happen againalso make sure your engine oil is full

SOURCE: Serpentine belt in a 1995 Mercury sable

I have the same car and last night my belt slipped off. The top small pulley backed it's self out. The problem is in most cars the pulleys are reverse threaded so this wont happen, in ours not so much. The pully spins loose with the turn of the belt so it has to be tightened way down. IT's a pain. Here is a diagram I found and You need a 15mm wrench, which doesn't just come in most sets. Good Luck

The book says "Using a 15 mm socket or wrench on bolt attaching drive belt tensioner pulley, rotate drive belt tensioner clockwise. Make sure spring keeper engages into slot." I would put a socket on the 15 mm pulley bolt and a long handle for leverage. Thats one tight spring.

SOURCE: vibration from fan

Make sure that you have everything you installed flush with mounting surfaces. Are all of the fan blades intact? Unless something bent the fan (unusual) it should be good, but if you need to, get another from a junkyard and try it!

SOURCE: Just replaced the water pump (brand new) and

You've probably replaced it with the wrong pump. The pump can look the same but if you remove it again and look closely you'll see that it spins in the opposite direction. Take it back to the parts store and tell them to try again.

SOURCE: broken fan belt

if you dont have the diagram on the car then you will need the manual from a local auto parts place.