Machine Design
The rated life of a bearing varies

Inversely as cube of load
Directly as load
Inversely as fourth power of load
Inversely as square of load

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

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

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