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

Concentrated normal force (contd...)

Then we can integrate the vertical component of the force over a semi-circle of radius , and equate it to the applied force . Hence we have,

(4.12)

from which we can easily obtain the constant . T

The radial stress component is obtained as,

(4.13)

Note that if we introduce a variable , then the radial stress component has a constant magnitude over a circle of diameter .

And the strain components are

(4.14)