Machine Design
The flank of the tooth is the

Surface of the tooth below the pitch surface
Surface of the top of the tooth
Width of the tooth measured along the pitch circle
Surface of the tooth above the pitch surface

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Machine Design
Slenderness ratio is the ratio of

Effective length of column to width of column
Width of column to depth of column
Effective length of column to least radius of gyration of the column
Maximum size of column to minimum size of column

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