A rectangular slab of constant thickness is considered which is simply supported along two edges and which has identical bcams, integral with the slab, along the other two cdges. Under conditions of transverse loading applied to both the slab and the beams, series solutions are obtained for (i) the transverse deflexion and (ii) the stress-function which describes forces in the plane of the slab. Appropriate conditions of
symmetry, of simple-support on two edges and of equilibrium and strain-ccmpatibility at the slab-beam junctions are utilised to determine the constants in these series solutions. Torsional stiffness of the beams is taken into account.
D. N. de G. Allen and R. T. Severn