Subject says it all, I need to find at least 3 5/16-22 allen head cap screws, about 1.5" long. I do NOT need 5/16-24 screws and this is not a misprint, I really need 5/16-22. I think it is some english size, it's to fit the back of an english 3-jaw lathe chuck.
That would come closer to fitting a 20 TPI gauge, not a 22 TPI one. I come up with 1.1545 mm pitch as a direct conversion of 22 TPI. I agree that the 8mm is quite likely, and am now tempted to look in _Machinery's Handbook_ to see whether they document a 1.15 mm pitch.
Nope! And a quick check in the unified threads chart sows 5/16" fasteners at 18, 20, 24, 27, 28, 32, 35, 40, and 48 TPI, but no 5/16-22 listed at all.
If you really need that, perhaps it is time to single-point one on your lathe -- if you have something else to hold it while you mount the chuck.
But what were you measuring to get this 22 TPI figure?
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