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The Jacobs Taper (abbreviated JT) is commonly used to secure drill press chucks to an arbor. The taper angles are not consistent varying from 1.41° per side for No. 0 (and the obscure # 2 + 1 ⁄ 2) to 2.33° per side for No. 2 (and No. 2 short). There are also several sizes between No. 2 and No. 3: No. 2 short, No. 6 and No. 33.
For both of these rules of thumb (85%/90% and major minus pitch), the tap drill size yielded is not necessarily the only possible one, but it is a good one for general use. The 85% and 90% rules works best in the range of 1 ⁄ 4 –1 in (6.4–25.4 mm), the sizes most important on many shop floors. Some sizes outside that range have different ...
The taper is the change in the size of the diameter as you travel down the axis of the taper. So, take 1/2 the change size (1.75") and divide that by 12", arctan of the result is 1/2 the included angle. So 16.5942899... is correct. —Preceding unsigned comment added by SamELLI (talk • contribs) 17:45, 29 April 2008 (UTC) D'oh!
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The chuck may be held against the taper with a threaded retainer ring (large thin nut), typically wrenched with a spanner wrench of the pin or hook variety. The peak of popularity for building this type of spindle nose was the 1940s and 1950s. The chuck may be held against the taper with cam-lock posts that wedge into a stuck-fast position.
Both the tool and socket have a slight taper. The contemporary square drive screw has all but replaced the Robertson screw proper and is commonly referred to as a Robertson because it has practically identical drive dimensions and the same colour identification system, but the contemporary square drive socket has parallel sides rather than tapered.
A rod with a fast taper will only flex the top 20 percent. Medium fast and medium tapers will flex approximately 30 to 60 percent of the rod respectively. If the rod has a slow taper, almost the entire rod or blank will bend or flex under pressure.
The most popular size is 8 mm which came in several variations but all 8 mm collets are interchangeable. Lorch, a German Lathe maker, started with 6 mm collets and the first Boleys used a 6.5 mm collet. 6 mm collets will fit into a 6.5 mm lathe but it is a poor practice. Another popular size is the 10 mm collet used by Clement and Levin.
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