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
Make M/I constant throughout the length of the leaf
Obtain variable moment of inertia (I) in each leaf

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Machine Design
According to Rankine's theory, the failure occurs at a point in a member

When the maximum shear stress in a biaxial stress system reaches the shear stress at elastic limit in a simple tension test
When the strain energy per unit volume in a biaxial stress system reaches the strain energy at the elastic limit per unit volume as determined from a simple tension test
When the maximum principal stress in a biaxial stress system reaches the elastic limit of the material in a simple tension test
When the maximum principal strain in a biaxial stress system reaches the strain at the elastic limit as determined from a simple tension test

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Machine Design
The face of the tooth is the

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

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