Two-parameter kinematic approach for complete shear behavior of deep FRC beams

Boyan Mihaylov, Jian Liu*, Karolina Tvrznikova

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


While tests of deep fiber-reinforced concrete (FRC) beams have shown that steel fibers enhance the crack control and shear strength, the modeling of these effects in a simple and rational manner remains a challenging problem. Because FRC features enhanced tension behavior, it is not well suited for the traditional strut-and-tie approach which neglects the tensile strength of the concrete. Therefore, this paper proposes an alternative approach which focuses on the displacements in the critical shear cracks. The displacements are described with a kinematic model with two degrees of freedom, and are used with appropriate constitutive relationships to estimate the shear contribution of the fibers. This kinematics-based approach is validated with experimental data, and it is shown to capture adequately the complete pre- and postpeak behavior of deep FRC beams. It is also shown that the model predicts well the effect of beam aspect ratio, fiber volume ratio, longitudinal reinforcement ratio, and concrete strength on the shear strength of deep FRC beams.

Original languageEnglish
Pages (from-to)362-375
Number of pages14
JournalStructural Concrete
Issue number1
Publication statusPublished - 1 Feb 2020
Externally publishedYes


  • FRC
  • deep beams
  • displacement capacity
  • kinematic model
  • postpeak response
  • shear

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