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Mechanics of Solids and Materials by Vlado Lubarda, Robert Asaro

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Problem 13.7. Derive the displacement components of the points on the plane z = 0 due to the vertical concentrated force acting on the boundary of the half-space (Fig. 13-4).

Figure 13-4. The vertical concentrated force on the boundary of the half-space.

Solution: The Love’s function for the Boussinesq problem of concentrated force on a semi-infinite body is

The corresponding displacement field is determined from

which gives

The displacements ...

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