Machine Design
The ends of the leaves of a semi-elliptical leaf spring are made triangular in order to

Permit each leaf to act as an overhanging beam
Have variable bending moment (M) in each leaf
Obtain variable moment of inertia (I) in each leaf
Make M/I constant throughout the length of the leaf

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Machine Design
Slenderness ratio is the ratio of

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

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