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

Concentrated tangential force

A concentrated force per unit length of the -axis acts tangential to the surface and produces a stress field which is rotated through 90o . If we measure from the line of action of the force, i.e. the Ox direction, the expression for stresses are same as for the normal force,

(4.19)

Ahead of the force, in the quadrant of positive , is compressive and in the quadrant of negative , it is tensile.

The expressions for stress components in the coordinates may be obtained as,

(4.20)

The expressions for distributions of displacements remain same, except that is replaced by .

(4.21)

The surface displacements turn out to be,

(4.22)

Surface ahead of the application of force is depressed by an amount proportional to