Page 345 - Introduction to Continuum Mechanics

Bending of a Incompressible Rectangular Bar. 329

The equations of equilibrium are

From Eq. (5.37.6b) and (5.37.6c), we have, since A(I\(r\ /2(>)) is function of r only,

Since

Thus, from Eq. (5.37.6a), we have

and

Furthermore, Eq. (5.37.6a) and Eq. (5.37.8) give

The boundary conditions are :

Thus,