At the end of Section 7.1 , it was pointed out that the plane strain solution to a cylindrical body of finite length with zero end tractions could be found by adding a corrective solution to remove the unwanted end loadings being generated from the axial stress relation

σ_z = v(σ_x + σ_y). Using Saint-Venant’s principle, show that such a corrective solution may be generated using a simple strength of materials approximation incorporating axial and bending stresses of the form σ_z^(c)= Ax + By + C, where A, B, and C are constants. Using principal centroidal x,y-axes, show how these constants could be determined.