Contribution to the Calculation of Reinforced Concrete Circular Sections by Discrete Reinforcement

Abstract

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.

Prediction of the Non-Linear Rupture of a Section Under Compound Deviated Bending

“…The concrete section was considered as a succession of trapeziums. Each trapezium was defined by the dimensions of its lower and upper bases b yj ,b yj +1,b zj ,b zj+1 and its ordinates y j , y j+1 ,z j ,z j+1 , with respect to the reference axis passing through the center of gravity of the section (Kachi et al, 2014) see Figure 2. The integration process is numerical, it is necessary to express the width of the trapezium of order j at a dimension y and the width of the trapezium of order j at a dimension z b y relations compatible with the numerical calculation Equation 2.…”

Prediction of the Rupture of Circular Sections of Reinforced Concrete and Fiber Reinforced Concrete

“…Each trapezium was defined by the dimensions of its lower and upper base (b j , b j?1 ) and their ordinates (y j , y j?1 ), relative to the reference axis passing through the center of gravity of the section (Kachi et al 2014), see Fig. 1.…”

“…Due to the provision of reinforcement and concrete, the circular sections have substantially the same geometric characteristics in all directions. Therefore, the calculation remains complicated given the position of the armatures which induces several unknown in the expression of the equilibrium equations in the case of a composed bending (Kachi et al 2014).…”