How do you replace a stuck wheel stud?

There are several methods to remove a frozen bolt or stud.

The first and easiest method is to apply a penetrant (not a lubricant) and let it soak, overnight if necessary - something like PB Blaster is Excellent, and will work much better than the more popular WD-40.

If you don't have the patience for penetrants, you can try applying heat to the wheel hub with a torch. Propane will be OK, but MAPP gas is hotter and will therefore work better. Don't apply the heat to the stud, as that will expand it tighter into the hole. You want to heat the hub so the hole gets larger, freeing the stud for removal.

If the stud is still stuck and the hub must remain on the car, you can try a deadblow hammer or mallet, with several nuts turned onto the stud to protect the threads and to maximize the area you can strike with the mallet.

Lastly, you will have to remove the hub if nothing else has worked and use a shop press to press out the stud.

Good luck!