As part of this study, has been developed a numerical method which allows to establish abacuses connecting the normal force with bending moment for a circular section and therefore to predict the rupture of this type of section. This may be for reinforced concrete (traditional steel) or concrete reinforced with steel fibers. The numerical simulation was performed in nonlinear elasticity up to exhaustion of the bearing capacity of the section. The rupture modes considered occur by plasticization of the steel or rupture of the concrete (under compressive stresses or tensile stresses). Regarding the fiber-reinforced concrete, the rupture occurs, usually, by tearing of the fibers. The behavior laws of the different materials (concrete and steel) correspond to the real behavior. The influence of several parameters was investigated, namely; diameter of the section, concrete strength, type of steel, percentage of reinforcement and contribution of concrete in tension between two successive cracks of bending. A comparison was made with the behavior of a section considering the conventional diagrams of materials; provided by the BAEL rules. A second comparative study was performed for fibers reinforced section.
Abstract-The calculation of circular sections is not easy given the available reinforcements induces several unknowns in the equilibrium equations. The abacus of Davidovici, based on the principles of BAEL91 and EUROCODE2, assuming a uniform distribution of steel over the entire section, to determine the longitudinal reinforcement of these section bending made for this type of section limited in the case of a compressive axial load.In this study we propose a method for calculating circular sections under any combined loads (N, M), using discrete reinforcement able to take into account both the compressive and tensile axial load. This method is based on the interaction curves of reinforced concrete sections that may generate the number of steel bars necessary for the point representative of the combination load (N, M) is within the strength domain of the section.
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