Kept drilling today with fractional bits up to the final drill with a 1/2 in. The bolt threads never did release but I got the remaining bolt steel thin enough that I should be able to clean the steel out of the threads with a tap. Ran out of daylight (hence the lousy photo) so will be chasing threads tomorrow, testing with the bolt as I go.
I'm afraid to say I see the light at the end of the tunnel...for fear it's an oncoming train.
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When you say you were going to chase the threads to clean the remaining steel out, are you using a M14x1.5 chaser or an actual tap?
I haven't drilled a bolt out before. I imagine you need the larger cut outs / clean outs in the tap, vs the narrow cut outs in a chase?

Yeah the horizontal aspect is a slight issue there.I kept thinking of a way to use weld to the bolt and not damage the threads. Here it is.
use a piece pipe to protect the threads. Then just stack a bead until it’s out of the hole. It may work better in a vertical position. I’m not going to try it first on my shock bolt.
Bolt buster or one of the many knock-offs can be quite effective, especially when red locktite is involved.Any reports of anyone using an induction heater on the exposed end of the threaded frame insert.
Wondering if that could better expand the insert faster than the broken bolt, allowing for better luck with using a bolt extractor? Or will that not get the heat deep enough into the insert to do any good?
or maybe some sort of cartridge/core heater after drilling the initial pilot hole through the bolt, effectively heating the entire length of the bolt (there is 40 to 45mm of bolt remaining in the threads when these break).
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I haven't used one, but from videos it looks like it is great on an exposed thread/nut. Not sure it will work deep enough (65 mm?) into the insert to get the end of the threads??Bolt buster or one of the many knock-offs can be quite effective, especially when red locktite is involved.

I would have used my butane kitchen torch before bought that.yeah - i was wondering if a 120v cartridge heater might be worthwhile in this kind of situation.
Drill through 1/4", insert 1/4" x 2 inch rod ... as long as decent surface area contact, this would get the whole bolt stub to temp more efficiently than playing around with a hand held canister torch from outside the frame. That rubberized corrosion coating likes to flash and smoke pretty good ... plus the brake lines in that area.
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Not true. I did work on magnetic fields some time ago and the fundamentals are that the field strength is significantly higher inside a coil than outside. Furthermore, the field strength is a function of coil current x coil turns so changing the wire diameter will affect the current such that the applied voltage will need to be changed to compensate. Furthermore, changing the turns affects the coil induction and raises back-EMF issues so it is not a simple electrical consideration. The power frequency of 100kHz and upwards is not easily obtained from the home workshop junk box either.An induction heater coil will work inside a metal object just as well as outside.
Not true. I did work on magnetic fields some time ago and the fundamentals are that the field strength is significantly higher inside a coil than outside. Furthermore, the field strength is a function of coil current x coil turns so changing the wire diameter will affect the current such that the applied voltage will need to be changed to compensate. Furthermore, changing the turns affects the coil induction and raises back-EMF issues so it is not a simple electrical consideration. The power frequency of 100kHz and upwards is not easily obtained from the home workshop junk box either.
If you desire to use electricity to heat this broken bolt then you may do better by passing a high electrical current through the target however attaching the cables could be problematic. I have successfully done this in practice for a gas analysing oven but in a situation where cable attachment was practical. The transformer used supplied about 1.5 volts at 250 amps.
I'm sorry, I used the wrong expression. I should have said "field intensity" not "field strength". And that is the essence… it is the field intensity applied to the bolt stub that will raise its temperature to satisfaction, not the wider distribution of the external field applying to the surrounding material which is then being dissipated to a greater mass and loss. The intent is to heat the interface between the bolt and spigot not the whole mass.the total magnetic flux outside a coil has to be the same as inside.