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For example, a 1 ⁄ 4-inch to 3 ⁄ 8-inch adapter allows sockets with 1 ⁄ 4-inch drive holes to attach to a 3 ⁄ 8-inch ratchet, and so on. Universal joints are two articulated socket joints (about 1 inch (25 mm) long) combined at a right angle, that allow a bend in the turning axis of the wrench and socket. They are used with extensions ...
A few sizes are close enough to interchange for most purposes, such as 19 mm (close to 3 ⁄ 4 inch (19.05 mm)), 8 mm (close to 5 ⁄ 16 inch (7.94 mm)) and 4 mm (close to 5 ⁄ 32 inch (3.97 mm)). In reality, a wrench with a width across the flats of exactly 15 mm would fit too tightly to use on a bolt with a width across the flats of 15 mm.
The Leica Thread-Mount used on rangefinder cameras and on many enlarging lenses is 1 + 17 ⁄ 32 in by 26 turns-per-inch Whitworth, an artifact of this having been developed by a German company specializing in microscopes and thus equipped with tooling capable of handling threads in inches and in Whitworth.
The major minus pitch also works for inch-based threads, but you must first determine the pitch by looking at the number of treads per inch (TPI; for example, 1 ⁄ 20 = 0.050 and 1 ⁄ 13 ≈ 0.077), and your result will only land near a tap drill size (not directly on one).
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.
For Morse taper-shank drill bits, the standard continues in 1/64 inch increments up to 1¾ inch, then 1/32 inch increments up to 2¼ inch, 1/16 inch increments up to 3 inches, 1/8 inch increments up to 3¼ inches, and a single 1/4 inch increment to 3½ inches. One aspect of this method of sizing is that the size increment between drill bits ...