Elasticity/Transversely loaded wedge

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