Module 2 : Solid bodies in contact with and without interactions
  Lecture 4 : Loading on an elastic half space
 

Concentrated normal force:

Let us consider the case of a concentrated normal force of intensity per unit length distributed along the axis, acting in a direction normal to the surface. The solution of such a problem was given by the stress function,

(4.10)

Using this stress function, the stress components are found out as,

(4.11)

The stress distribution is radial directed towards the point of application of the force at O.

At the surface, , the force is zero, except at the origin itself.

At the stress approaches zero.

Thus it satisfies all the boundary conditions.