Machine Design
For a bevel gear having the pitch angle θ, the ratio of formative number of teeth (TE) to actual number of teeth (T) is

1/cosθ
1/tanθ
sinθ cosθ
1/sinθ

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Machine Design
A tap bolt

Has pointed threads
Has both the ends threaded
Has a head on one end and a nut fitted to the other
Has head at one end and other end fits into a tapped hole in the other part to be joined

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Machine Design
Coaxing is the procedure of increasing

Metal hardness by surface treatment
Metal strength by cycling
Metal resistance to corrosion by coating
Fatigue limit by over-stressing the metal by successively increasing loadings

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