Posted by Chris Trice on 21/12/2018 02:33:36:
Tubal Cain's book "Drills, Taps And Dies" has interesting historical information about early thread development …
Not read that one but none of the other books I have give a theoretical explanation for the various thread angles used. Or if they do it's in the maths and goes over my head.
Whitworth adopted 55 degrees as a result of sampling British industry best practice circa 1840. He measured thread samples from across the trade and averaged their measurements. Then he rationalised the results and wrote his famous standard. 55 degrees seems to have evolved for practical rather than theoretical reasons. It's a heavy engineering thread well suited to cast-iron and the other softish materials of the time.
Later, the British Association standardised threads for instrument work. They appear to have adopted 47.5 degrees based on Swiss practice. No clue as to why the Swiss chose 47.5 but it may have been for practical reasons. As much instrument and clock work was done in Brass, it could be that 47.5 suits that material. It seems strange that the BA thread angle is such an odd number – what's wrong with 48 degrees?
About 1865 Sellers in the USA reviewed the Whitworth Standard against American needs and decided it could be simplified to speed production. At the same time he switched to a 60 degree thread. My theory is that by 1865 improvements in materials made 60 degrees a stronger general solution for most fasteners than 55 degrees. Later the Sellers thread was adopted as the US standard thread. In the same period metric threads went the same way. Again, it's not clear to me why metric settled on 60 degrees rather than any other angle.
The relationship between thread angle and the strength of materials may be related to the requirement that the male threads of fasteners should fail before females. It is easier to replace a stripped bolt than to drill out a broken stud left inside a casting and then retap the hole. Not sure the idea holds water, because male and female have the same angle, and therefore the same strength. Or do they?
I think thread angles were decided more for practical and experimental reasons than theory. Other aspects of thread design have a more obvious mathematical rationale. Like much of engineering 'practical bloke' was first to find what worked, and his solution was later refined and improved by brainy chaps.
Dave
Edited By SillyOldDuffer on 21/12/2018 11:45:07