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Elasticity/Wedge with boundary tractions

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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.