You split the nut with a sharp chisel. Don't worry about the stud You will have to replace both anyway, just be careful with the wheel and your fingers.
Stripping is often caused by overtightening. Breaking is usually caused when the lug nut is not tight enough and the wheel moves against the stud.
You can try welding another lug to it, or you might have to cut the stud and replace it, if worst comes to worst.
You will have to drill or cut the stud off.
Not aligning the threads up correctly and forcing the lug nut onto the wheel stud will strip the lug nut.
The lug nuts weren't tightened.
No ford and Chevy stud patteren is different.
Take them to a machine shop and have the wheel lug studs pressed out. Or using a lug nut threaded onto the very end of the lug stud (to prevent stud damage) place a socket on lugnut and hammer the stud out. After all studs are removed the rotor and the hub will seperate.
In Mr. Tire, $65.00 up.
You don't say exactly what stud. If it's a wheel stud, the old one can be pounded out, and a new one pulled into place simply by tightening the lug nut on it.
The lug nut (stud) size I have found listed are for 2002 and up Jeep Liberty-1/2x20
Measure from center of one lug (stud that the lug nut bolts on to) to the center of the lug directly across from it if you have four-, six-, or eight-lug hubs. Measure using the metric side of the ruler, in millimeters. So if you have a four-lug hub and the measurement came out to 100mm, the bolt pattern is 4 X 100, which means that you have four lugs and that the separation is 100mm. Measure from the center of one lug to the center of the third stud (the one to either side of the center opposite) if you have a five-lug hub.
The lug studs are a press fit into the flange on the hub. To remove them simply tap it out with a hammer. Be sure there is clearance behind the stud for it to come out, that is it won't hit a component behind it, If necessary rotate the flange until the stud would clear. To replace the stud push it through the hole then you can use a lug nut to pull the splines on into the hole and seat it. You will need a spacer on the stud since the threads are not usually long enough for the lug nut to get all the way to the flange. The spacer has to have a hole in it big enough to go over the threads without catching on them.