Machine Design
If shearing stress in nut is half the tensile stress in a bolt, then nut length should be equal to

0.75 × diameter of bolt
Diameter of bolt
1.25 × diameter of bolt
1.5 × diameter of bolt

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Machine Design
The contact ratio is the ratio of

Length of path of contact to the circular pitch
Length of arc of approach to the circular pitch
Length of arc of contact to the circular pitch
Length of arc of recess to the circular pitch

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