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What bolt type please?
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beanflying:

--- Quote from: eugene on June 23, 2022, 03:33:36 pm ---I count 12 threads per cm, not 13, and it looks smaller than 5 mm diameter to me. I'm nearly certain that it's a 10-32 screw, 7/8" long. The head is smaller than a typical pan head (probably came from something mass produced.) If the space for the head is small diameter and a pan head won't fit, a fillister head might.

And I disagree that M5x0.8 and 10-32 are interchangeable. Maybe in soft plastic where you can force a new set of threads, or with narrow nuts that only have a few threads, but generally, no.

--- End quote ---

As it is likely a rolled thread it will be a smaller diameter than nominal regardless. 10-32 as a guess without is being of US origin equipment would be fairly unlikely in the UK where it is 'maybe' a 2BA (31.4 TPI - only an Englishman could make that up  :-DD )

This is really why spending $20-30 on calipers and pitch gauges make sense. Metric would still be a place to start and easy to get and try.
Benta:
Certainly not metric.
I also count 12/cm, giving a pitch of ~0.833 mm. Could be anything. The head is really odd.
What did it come out of?

EDIT: found it.
It's a Bodmer thread for old/historic optical instruments. That also explains the strange head and the thread angles.
https://www.gewinde-normen.de/en/bodmer-thread.html
TimFox:

--- Quote from: Zoli on June 23, 2022, 06:31:42 pm ---
--- Quote from: TimFox on June 23, 2022, 05:33:23 pm ---1/32 inch = 0.7938 mm
The 0.00625 mm mismatch would be one full pitch in 160 turns = 128 mm = 5 inch.

--- End quote ---
If you need to swap screw+thread that long, you have a bigger problem on your hand.
But thank you anyway to calculate the theoretical limit; I prefer the practical limit, which in real life means interchangeable for me(at least for 20mm~3/4").

--- End quote ---

That was my point.  You will never see a thread engagement of several inches, and 3/4" is rare.
eti:

--- Quote from: BrokenYugo on June 23, 2022, 05:51:41 pm ---What is it from?

Looks to me like cheap furniture hardware, which is usually metric. M5 is a good bet.

At least around me, anywhere that sells bulk hardware has a rack with nuts and studs in all the common threads, for matching up mystery parts.

--- End quote ---

It's from a frying pan (the picture) but I needed one for my saucepan, which rusted right through; thankfully I found out when it was empty, emerging from the dishwasher!

Thanks to everyone for your help. I now have a replacement from a mechanical engineer neighbour!
Benta:
I feel @eti made a fool out of everyone here. Frying pan, indeed!
You're on my block list.
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