The objective of this work is to evaluate the nonlinear behaviour of beam elements of structural concrete, subjected to asymmetric bending, delimited by two consecutive sections of discontinuity (cracks or open joints), considering the variable adhesion model. For this, two algorithms were developed using the MATLAB tool from the numerical solutions presented herein. The first refers to the equilibrium of sections subjected to asymmetric bending. The second calculates the equilibrium of sections considering the bond-slip effect, maintaining the Bernoulli-Navier hypothesis where perfect adhesion is no longer possible. Two numerical applications (simply supported beams) are used to validate and verify the efficiency of the developed models and algorithms. Results obtained shown that there is a good agreement with the experimental results found in the literature, characterising a good alternative for the evaluation of the nonlinear behaviour of beam elements, when there is a loss of adhesion.

From the implementation of analytical solutions for thin rectangular slabs using the Finite Difference Method, the present paper was developed with the purpose of comparing the determined efforts in a concrete plate with those that would be found using the tables originated from the plates theory of authors established in the literature. For this, the programming language Python was used, taking as a case study, a slab with dimensions of 5 meters long by 3 meters wide and thickness equal to 0.10 meters. In the analysis of the efforts, several support conditions were considered, in which the internal efforts and displacements obtained by the Finite Difference Method were compared with the results obtained through the tables proposed in literature. It was verified that the Finite Difference Method constitutes a good alternative for the resolution of thin solid plates, since the results were similar to the classic solution proposed in literature. The implemented program allows the visualization of the efforts through of spectrums of zone which facilitates the understanding of the distribution of the efforts along the slab, differing slightly from the uniform distribution adopted in the tables consulted.