Module 2 : Solid bodies in contact with and without interactions
  Lecture 7 : Pressure Apllied to a circular region (contd...)
 

 

Now, consider the situation for a point B which lies outside the loaded region.

The distance of an element at from the origin is

(7.7)

So that the pressure distribution in terms of is obtained as,

 

And the displacement at point B is

(7.8)

Here, are the roots of the equation , i.e.

Then, noting the result of following integral,

(7.9)

We have the following expression for the normal displacement of a point outside the circle of loading,

(7.10)