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Here's your basic thread profile, taken from Machinery's Handbook , 20th edition, page 1275. Using basic trigonometry, tan( 30 ) = (p/2) / H, so H = p/( 2 * tan( 30 )), or H = 0.866 p

Since the typical tool is a sharp pointed V, the threads we create will extend all the way to the points (at the bottom). Bigger...

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