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[1] [25] 7.5 threads per inch were selected not just as a compromise between the 6, 7, and 8 threads per inch then in use, but because tools and methods had been developed to facilitate the conversion of existing 7 tpi and 8 tpi threads to 7.5 tpi threads, for couplings with an outside diameter ranging from 3 inches to 3 1/8 inches to the new ...
The major minus pitch technique also works for inch-based threads, but you must first calculate the pitch by converting the fraction of threads-per-inch (TPI) into a decimal. For example, a screw with a pitch of 1/20 in (20 threads per inch) has a pitch of 0.050 in and a 1 ⁄ 13 in pitch (13 threads per inch) has a pitch of 0.077 in.
The rate of taper is 1:20 on diameter, in other words 0.600" on diameter per foot, .050" on diameter per inch. Tapers range from a Number 2 to a Number 20. The diameter of the big end in inches is always the taper size divided by 8, the small end is always the taper size divided by 10 and the length is the taper size divided by 2.
For example, factory and aftermarket receivers using the Remington 700 footprint are produced with various types of action threads, all with a 26.99 mm (1 + 1 ⁄ 16 in) diameter, but with a pitch of either a 1.588 mm (16 TPI, Remington standard), 1.411 mm (18 TPI) or 1.270 mm (20 TPI, Savage standard).
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The outermost 1 ⁄ 8 and the innermost 1 ⁄ 4 of the height H of the V-shape are cut off from the profile. The major diameter D maj is the diameter of the screw measured from the outer edge of the threads. The minor diameter D min (also known as the root diameter) is the diameter of the screw measured from the inner edge of the threads. The ...
where is the tap drill size, is the major diameter of the tap (e.g., 3 ⁄ 8 in for a 3 ⁄ 8-16 tap), and / is the thread pitch (1 ⁄ 16 inch in the case of a 3 ⁄ 8-16 tap). For a 3 ⁄ 8-16 tap, the above formula would produce 5 ⁄ 16, which is the correct tap drill diameter. The above formula ultimately results in an approximate 75% thread.
The threads 11 on rod 4 have one pitch (e.g. 25 tpi, blue), while the threads 10 in the barrel 1 have another (e.g. 20 tpi, orange). A full turn of the thimble 12 rotates the nut sleeve 13 and its two threads ( 20 tpi outside and 25 tpi inside ) to move the rod 1 / 20 - 1 / 25 = 0.01 in (0.25 mm) relative to the barrel.