Begins spin cycle but stops after 15-20 seconds

SOURCE: Amana Washmachine (not all water removed during spin) ALW780QAW

you may have blockage in the drain pipe several feet from washer. if you can run spin cycle with hose in different location ex. tub,sink or outdoors. if this works run long snake down washer drain pipe to clean gypsum residual.

SOURCE: smoking washer Amana NAV8800AWW

Ok, that's a different scenario. Generally, when a washer is agitating and develops an overload that stalls or overheats the motor, the problem could be caused by:
1. Too many clothes for the amount of water level selected. If clothes don't have enough water to circulate in properly, it can put excess pressure on the agitator which transfers to the gearcase, drive belt, and finally the motor. The motor is thermally protected and stops running until it cools down, then it will try to restart. In the process the drive belt could burn slightly to completely,so you may want to inspect the drive belt for burned areas.
2. Transmission malfunction, where something inside the transmission breaks due to an overload and jams a gear. End results can be the same as above.
I suspect a clothes overload may have caused the problem and once the overload is alleviated, the washer should operate normlly if the belt didn't burn,

SOURCE: won't drain or spin

Sounds like the lid switch which is only about 30.00 to fix if you do it yourself. It's a little difficult but it's much better than replacing or having someone come in and do it

SOURCE: amana nav5800aww water on floor after spin cycle

Sounds very similar to having something such as a sock or small article of clothing that is too large to be sucked down the drain hose into the pump. So what happens is it hangs around between the inner and outer drums and sometimes gets itself lodged over the drum drain hole, and can allow water to be centrifically flung over the top of the drum. Most times when the spin cycle stops, the article of clothing will dislodge and float around inside the drum only to do it again later....
If you can remove the top of the machine, you can usually see the gap between the two drums and use a piece of coathanger wire with a small hook on the end and "go fishing in the area between the two drums and close to the drain hole location... bet you'll find something in there... Let me know how it goes... and if I can help .. ken

SOURCE: Machine will not drain the tub or spin the

your problem still could be a bad lid switch not making. also, check your spin/agitate belt part #40053606. hope the attaced breakdown helps.