How to replace fan motor

As this is a car forum I assume you mean a switch for a 3-speed heater fan?

I have been a repairer for 45 years and in that time I have never needed to replace a heater fan switch - they are usually very reliable. I have replaced multiple fuses, a few motor resistors and even a few fan motors (most are repairable).
Often, because the motor is exposed to damp and (often) dust the bearings dry out and become tight and the motor slows and consumes more current. This heats the motor and the connectors in the circuit, especially at the motor. The heat often causes the thermal fuse to fail (if fitted).

The fan motors on these are cheaply made. You either have a fan that is shorting or a loose/bare wire. Check for loose/bare wires first, if there are none, then replace the fan.

id find blower motor and hit it with a hammer if it turn on its bad also look at the wire to the resistor they melt down if its bad put new connector and resistor in iv done a few

The Blower wheel fan ....where is your question.....?..Yes it can be changed without replacing motor...Very delicate ..be careful while changing it...If fan isn't running it could be a Relay,Resistor,Or faulty motor....Also faulty fan control panel....I don't recommend trying to replace the fan alone..If fan is damaged it can also cause abnormal wear to motor....replace the complete fan/motor assembly...

I would suggest that the electric fan motor is shorted out, unplug the motor and see if the short goes away, if it does replace the fan motor.

IASounds like the radiator fan motor is bad (not uncommon for a chrysler product)
You can replace the fan motor (DIY) for around $100 (oreily autoparts) or the the entire fan assembly for around $300 (DYI) .
Replacing the fan motor will take about 2-3 hours.....taking out the fan assembly will consume most of your time.
hoppe this helps.

More then likely will have to replace fan motor, fan motor is weak and asking for to many amps to work, and that will over load and blow the fuse, if it was wiring the fuse would blow right away, replace fan motor.

Is the water pump leaking coolant? If not, then why do you think it's bad?

If the engine is overheating, there are several other things to look at before you consider the replacing the water pump.

Are the fans electric motor driven, or fan belt driven? If fan belt driven, replace the fan clutch. If electric motor driven, check the fan control module and/or fan motors to make sure all is good there. Fan control module tend to fail in weird ways, so if nothing is wrong with the motors, replace the module.

Always, always, replace a thermostat that has overheated. Once overheated, they consistently fail. Make sure you properly refill the radiator with coolant after the stat is changed.

Check that the bottom radiator hose does not collapse.

Check the radiator for corrosion. Boil the radiator out, or have it done, or replace the radiator.

If this occurs in all positions, check fuse, check for power at the fan motor, if power in all positions replace motor. if no power at fan and fuse is good, check blower motor resistor and blower motor control switch. Replace as required

This sounds like the cooling fan motor was the real problem, when it does this the motor is partially shorted, this overheats the new fan relay and will burn it out, I think most likely they should have caught this when the fan relay was replaced, now the motor and the relay should be replaced, as the new relay may be damaged. Also make sure the electrical connector to the fan motor is not burnt, if it is then replace it along with the motor.