As mentioned in Section 5.6, Sainte-Venant’s principle will allow particular boundary conditions to be replaced by their statically equivalent resultant. For problems (b), (c), (d),and (f) in Exercise 5.1, the support boundaries that had fixed displacement conditions can be modified to specify the statically equivalent reaction force and moment loadings. For each case, determine these reaction loadings and then relate them to particular integrals of the tractions over the appropriate boundary.

Data from exercise 5.1

Using Cartesian coordinates, express all boundary conditions for each of the illustrated problems.