Module 2 : Solid bodies in contact with and without interactions
  Lecture 6 : Pressure Apllied to a circular region
 

Pressure Applied to a circular region: Uniform Pressure: P0

The depression of the surface can be obtained from equation 5.18 as,

(6.1)

If we consider that the point B lies within the circle, then it is easy to show that

(6.2)

Thus

(6.3)

is called the complete elliptic integral of the second kind with modulus .

At the center of the circle : , thus
(6.4)

At the edge of the circle , then

(6.5)

Mean displacement of the loaded circle is

(6.6)