In timber-concrete composite systems, timber and concrete are inherently brittle materials that behave linearly elastic in both tension and bending. However, the shear connection between the members can exhibit significant ductility. It is therefore possible to develop timber-concrete composite systems with ductile connection that behave in a ductile fashion. This study illustrates the use of an elastic-perfectly plastic analytical approach to this problem. In addition, the study proposes an incremental method for predicting the nonlinear load-deflection response of the composite system. The accuracy of the analytical model is confirmed with a computer model, and numerical solutions of the analytical model are compared to experimental results from the bending tests conducted by previous researchers. Reasonable agreement is found from the comparisons, which validates the capacity of the analytical model in predicting the structural behaviour of the timber-concrete composite systems in both elastic and post-elastic stages.

In timber-concrete composite systems, timber and concrete are inherently brittle materials that behave linearly elastic in both tension and bending. However, the shear connection between the members can exhibit significant ductility. It is therefore possible to develop timber-concrete composite systems with ductile connection that behave in a ductile fashion. This study illustrates the use of an elastic-perfectly plastic analytical approach to this problem. In addition, the study proposes an incremental method for predicting the nonlinear load-deflection response of the composite system. The accuracy of the analytical model is confirmed with a computer model, and numerical solutions of the analytical model are compared to experimental results from the bending tests conducted by previous researchers. Reasonable agreement is found from the comparisons, which validates the capacity of the analytical model in predicting the structural behaviour of the timber-concrete composite systems in both elastic and post-elastic stages.

[pt] A avaliação da rigidez de elementos lineares de concreto armado realizada por meio da abordagem momento-curvatura apresenta bons resultados, destacando como premissa a interação completa entre materiais. Entretanto, tal premissa ignora efeitos importantes que tem como base a fissuração do concreto e o deslizamento entre interfaces. Devido ao surgimento de fissuras o elemento deixa de ter deformações contínuas e passa a ter deslocamentos discretos na face fissurada, tendo como consequência deslizamentos na interface concreto-barra. Esses deslizamentos são incorporados em um modelo mecânico por meio das propriedades bond-slip da interface, que é base para o mecanismo de interação parcial conhecido como enrijecimento à tração. Além disso, na região comprimida, ao atingir deformações elevadas, o concreto pode estar sujeito à formação de cunhas de concreto delimitadas por fissuras, que formam o plano de cunha. Esse, por sua vez, sofre deslizamentos que são responsáveis pelas deformações efetivas crescentes no concreto, que representam outro mecanismo de interação parcial, o amolecimento do concreto. Para que esses mecanismos de interação parcial sejam inseridos na análise de vigas de concreto, um modelo mecânico chamado abordagem momento-rotação é apresentado. São realizadas ainda, comparações com o modelo tradicional de momento-curvatura, implementações para análise de vigas que contempla ambos modelos, e por fim, realizam-se validações com ensaios experimentais da literatura. / [en] The evalutation of the stiffness of one-dimensional reinforced concrete elements is performed through the moment-curvature approach. The presented results are satisfactory, owing to that an analysis of full-interaction between materials is a premise. However, this consideration ignores important effects as crack formation and sliding between the interfaces. The cracked element no longer undergoes continuous strain and beggings to experience discreet displacements at the crack face. The crack formation is possible due to the sliding capacity between the reinforcement-concrete interface. These slides are being incorporated in a mechanical model through the bond-slip interface properties by the PartialInteraction mechanism known as tension-stiffening. Furthermore, in the compressed region, on reaching elevated strains, the concrete may be subject to formation of concrete wedges delimited by cracks, which form the wedge plane. This plane undergoes slides that are responsible for crescent effective strains in the concrete, these represent a further partial-interaction mechanism: the concretesoftening. The partial-interaction mechanisms presented are used in the analysis of concrete beams through a mechanical model known as rotation-moment approach. Comparisons with the traditional moment-curvature model are presented. Also, implementations of the beams analysis by moment-curvature and moment-rotation models are developed. Lastly, validations are perfomed with experimental tests, based on literatures.