A numerical model on the flexibility method in the case of a multilayer beam finite element has been developed and the contributions to its recent developments being made at Mechanical laboratory, Department of physics, Faculty of Sciences Rabat (Morocco). The results of the experiments and those of numerical calculations were concordant in the case of quasi-static loading. These results were based on the approach "finite element" coupled with a non-linear model [17].
Firstly, we present here the results based approach "finite element" related to the analysis of a bending square plate under concentrated and uniform load, clamped or simply supported on the contour. On the other hand, we present some results which we evidence to the problem related to the shear locking. The numerical model is based on a threedimensional model of the structure seen here as a set of finite elements for multilayered plates multi cellular matrix (concrete) and a set of finite
element fibers for reinforcement. The results obtained confirm the ability of these tools to correctly represent the behavior of quasi-statics of such a complex system and presage the deepening of a digital tool developed.