Bending of Plates

The equilibrium equations for initially flat plates are stated as equations (3.25a-e); the strain-displacement relations are given by equations (5.54) or, with transverse shearing strains suppressed, as equations (5.55). Taken together with the stress resultant-strain relationships in the form of equation (6.10), the requisite boundary conditions discussed in section 6.2, and specifically the Kirchhoff conditions equations (6.25) and (6.27), the elements of a quite general plate theory are available and substantiated.