Module 2 : Solid bodies in contact with and without interactions
Lecture 6 : Pressure Apllied to a circular region
The tangential displacement at B is radial and is given by,
(6.12)
Changing the variable to , , is obtained as,
(6.13)
Since is equal to the load P acting on the whole area, we note that the tangential displacement outside the loaded is the same as though the whole load is concentrated at the center of the circle. Stresses at the surface within the circle may now be found from the strain,
(6.14)
Then the radial stress is,
,
(6.15)
Assignment: Find out the stress components inside the elastic half space at a point
, 
, 
is obtained as, 
is equal to the load P acting on the whole area, we note that the tangential displacement outside the loaded is the same as though the whole load is concentrated at the center of the circle. Stresses at the surface within the circle may now be found from the strain, 
,
