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Elasticity/Transversely loaded wedge

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Sample homework problems

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Wedge loaded transversely by a concentrated load

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Given:

A wedge of infinite length with a concentrated load per unit wedge thickness at the vertex. Plane stress/strain.

Wedge loaded transversely by a concentrated load

Find:

The stress field in the wedge.

Solution

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From the Flamant solution, we know that the stress field in the wedge is

The constants and can be found by using the equilibrium conditions

or,

Therefore,

Hence, the stresses are