Force-Displacement Relationships for R/C Members in Seismic Design

Abstract eng:
For a long time, the structural model of r/c framed structures has been defined assigning to each member a conventional stiffness, related to the properties of the geometrical cross-section. The more recent seismic codes suggest to evaluate stiffness taking into account the effect of cracking but do not provide operative indication on how do it. The paper proposes a fibre model able to describe the behaviour of a concrete member, starting from the moment-curvature analysis of reinforced concrete sections and taking into account different aspect (as tension shift due to shear force, anchorage deformation and plastic hinge width). By means of it, more reliable force-displacements relationships can be evaluated for beams and columns. The obtained curves can be used to define the equivalent elastic secant flexural stiffness to be adopted in design computer programs to describe the elastic behaviour of cracked members as a function of geometry of the section, reinforcement and axial force.

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