A layered approach to the non-linear static and dynamic analysis of rectangular reinforced concrete slabs

A simplified model for the static and dynamic behaviour of reinforced concrete slab has been developed, based on laminated theory. The proposed model considers the slab as a layered structure and leads to explicit relations, which account for the macroscopic linear and non-linear behaviour of slabs on lines of simple supports. The presented models aim to analyse and design slab to resist impact from rock falls. The results conform well with those of experimental and finite element methods, and indicate the anisotropy effects on natural frequencies and mode shapes of slabs which are highly reinforced in only one direction, such as rock shed slabs or slabs reinforced with FRP.