Machine Design
A plate with an elliptical hole in the centre, with semi-major axis (a) perpendicular to the direction of loading and semi-minor axis (b) along the direction of loading, is subjected to a pull P. The maximum stress induced at the edge of the hole is equal to (where σ = Stress for a plate with no hole i.e. nominal stress)

σ [1 + (b/3a)]
σ [1 + (2a/b)]
σ [1 + (3a/b)]
σ [1 + (b/2a)]

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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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