Model For Calculating the Limit State Parameters of Reinforced Concrete Structures

Based on the analysis and generalization of research on the deformation behavior of cracked reinforced concrete, the article presents a methodology for calculating crack width using the author’s established reinforced concrete effect—resulting from the influence of reinforcement on the deformation of the crack edges during crack opening. It is shown that when the continuity of the tensile concrete matrix is disrupted and the crack edges deform under the action of an intersecting tensile reinforcement bar, the crack profile and, consequently, its width at the reinforcement level change. The opening of a single or main crack is modeled using a so-called universal double-cantilever element (DCE), which accounts for the described deformation effect and combines the deformation parameters used in traditional reinforced concrete theory and fracture mechanics of reinforced concrete. The compliance of the DCE is related both to crack opening and to the displacements of the entire reinforced concrete structure and its generalized stiffness. It is demonstrated that the deformations of concrete in the reinforcement-adjacent zone change from tension to compression, qualitatively altering the pattern of relative mutual displacements of concrete and reinforcement between cracks.

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