Machine Design
Slenderness ratio is the ratio of

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

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Machine Design
Castle nut is a locking device in which

One smaller nut is tightened over main nut and main nut tightened against smaller one by loosening, creating friction jamming
A hard fibre or nylon cotter is recessed in the nut and becomes threaded as the nut is screwed on the bolt causing a tight grip
A slot is cut partly is middle of nut and then slot reduced by tightening a screw
Through slots are made at top and a cotter pin is passed through these and a hole in the bolt, and cotter pin spitted and bent in reverse direction at other end

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