This paper presents analytical solutions for the long-term analysis of composite steel-concrete members considering different shrinkage profiles through the cross-section of the slab. This situation is particularly important for members in the presence of steel deck. In fact, the non-uniform shrinkage profile develops through the slab thickness because of the lack of moisture egress on its bottom side due to the presence of the sheeting. In practice the main advantage of composite flooring systems relies on the ability of the profiled sheeting to act as permanent form work and, once the concrete has hardened, as
external reinforcement. The weak form of the partial interaction problem is derived by means of the principle of
virtual work and is integrated by parts to produce the local balance condition. The long-term behaviour of the concrete is modeled by means of the simplified methods while the remaining materials are assumed to remain linear-elastic. The general solution is then applied to the
particular cases of sim ply supported and propped cantilever for which closed form solutions are presented. --Conference held: , Hong Kong, 16-18 December 2009