OK, so this is the best I could do without breaking the needle. The needle measures 35 thou with a target length of 1/4 inch. Anything smaller than that broke off before I could get to length. This is two passes.
For some reason the needle looks bent in the photo but it isn't.
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So I tried again with a very sharp HSS tool. This is 20 thou.
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And here is 15 thou.
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Trying for 10, but not doing well
This is 12. Very hard to hit target. Again, Photo is misleading.
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Tried and tried. Giving up on 10 for now. Usually breaks at about 150 thou length. Good thing I have bags of 1/4 inch screws. Might try honing the cutting edges a bit later. Also compressed air to clear chips.
I have zero idea how anyone could use a steady on this task. You even look at that needle and it breaks!