Elasticity/Wedge with boundary tractions

Wedge with Boundary Tractions

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Elastic wedge with normal and shear surface tractions

Suppose

  • The tractions on the boundary vary as  .
  • No body forces.

Then

 

To find   plug into  .

 

If   and  ,

 

The corresponding stresses and displacements can be found from the tables associated with Michell's solution. We have to take special care for the case where  , i.e., the traction on the surface is constant.

Sample Homework Problem

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Find the stresses and displacements for a wedge loaded in constant shear   on its surface.