Abstract

Hsu recently conducted a shear test on nine reinforced concrete panel elements subjected to applying pure shear using a shear testing device. Modern truss models (i.e. modified compression field theory and a rotating angle softened truss model) are used to perform a complex nonlinear analysis through a trial and error method based on a double loop. This analysis is conducted by employing equilibrium conditions, compatibility conditions, and a ductile stress–strain relationship of a reinforced concrete membrane panel in a biaxial state. In this study, an effective algorithm that uses a revised Mohr compatibility method based on the failure criteria of struts and ties is proposed. This algorithm is used to improve the convergence rate in the analysis of shear history, which was performed in the experiment of Hsu. The result of the analysis indicates that the shear strain energy in a state of extended shear strain is influenced by the relationship between principal compressive stress and strain (crushing failure).

Highlights

  • Modified compression field theory (MCFT) proposed by Collins and the rotating angle softened truss model (RA-STM) proposed by Hsu and Zhang[1] show the evolution of empirical, statistical methods toward modern truss models that can perform a nonlinear stress–strain analysis, by employing equilibrium conditions, constitutive conditions of materials, and strain compatibility conditions.[2]

  • Mohr compatibility truss models, which are represented by the MCFT and softened truss model (STM), have been developed mainly in North America

  • This study has enhanced the process of nonlinear stress–strain analysis of a reinforced concrete panel subjected to pure shear

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Summary

Introduction

Modified compression field theory (MCFT) proposed by Collins and the rotating angle softened truss model (RA-STM) proposed by Hsu and Zhang[1] show the evolution of empirical, statistical methods toward modern truss models that can perform a nonlinear stress–strain analysis, by employing equilibrium conditions, constitutive conditions of materials (i.e. concrete and rebar), and strain compatibility conditions.[2]. An enhanced algorithm employing a single loop trial and error method by substituting the maximum effective stress during strut crushing is proposed in this study This method is based on the condition that a rebar having a lower steel ratio among the rebar in horizontal and vertical directions yields first, and the rebar that did not yield yields. The history of crushing failure of concrete can be calculated by substituting the maximum compressive strength (f2 = zfck) of the strut into equations (2), (4) and (5)

Result of nonlinear analysis
B2 B3 B4 B5 B6 HB1 HB3 HB4
Conclusion
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