Abstract

In previous studies, a smeared truss model based on a refinement of the rotating-angle softened truss model (RA-STM) was proposed to predict the full response of structural concrete panel elements under in-plane monotonic loading. This model, called the “efficient RA-STM procedure”, was validated against the experimental results of reinforced and prestressed concrete panels, steel fiber concrete panels, and reinforced concrete panels externally strengthened with fiber-reinforced polymers. The model incorporates equilibrium and compatibility equations, as well as appropriate smeared constitutive laws of the materials. Besides, it incorporates an efficient algorithm for the calculation procedure to compute the solution points without using the classical trial-and-error technique, providing high numerical efficiency and stability. In this study, the efficient RA-STM procedure is adapted and checked against some experimental data related to reinforced concrete (RC) panels tested under in-plane cyclic shear until failure and found in the literature. Being a monotonic model, the predictions from the model are compared with the experimental envelopes of the hysteretic shear stress–shear strain loops. It is shown that the predictions for the shape (at least until the peak load is reached) and for key shear stresses (namely, cracking, yielding, and maximum shear stresses) of the envelope shear stress–shear strain curves are in reasonably good agreement with the experimental ones. From the obtained results, the efficient RA-STM procedure can be considered as a reliable model to predict some important features of the response of RC panels under cyclic shear, at least for a precheck analysis or predesign.

Highlights

  • Reinforced concrete (RC) wall-type structures, such as shear walls or deep beams, and RC shell-type structures, such as containers or curved shell roofs, are widely designed and built all over the world

  • It should be referred to that a recent alternative smeared truss model for RC panels under cyclic shear was proposed as well, the Fixed Strut Angle Model (FSAM), which incorporates additional friction-based constitutive law to compute the shear stresses along crack surfaces [27]

  • In spite of being a monotonic model, previously proposed and checked for RC panels under monotonic shear, the efficient rotating-angle softened truss model (RA-STM) procedure is able to predict with reasonably good agreement the shape of the experimental envelope τ45◦ –γ45◦ curves of the studied RC panels under cyclic shear

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Summary

Introduction

Reinforced concrete (RC) wall-type structures, such as shear walls or deep beams, and RC shell-type structures, such as containers or curved shell roofs, are widely designed and built all over the world. It should be referred to that a recent alternative smeared truss model for RC panels under cyclic shear was proposed as well, the Fixed Strut Angle Model (FSAM), which incorporates additional friction-based constitutive law to compute the shear stresses along crack surfaces [27]. In spite of how some of the referred cyclic smeared truss models have been shown to predict well the global hysteretic response of RC panels under cyclic shear, such as the the CSMM and FSAM, they are not easy to implement, because they incorporate smeared cyclic constitutive laws for the materials Such laws have a complex development to account for the possibility of several loading–unloading cycles at different points and, for the damage of concrete during the loading history. Ec and fcr can be computed from the correlation with f c by using codes’ rules. εcr can be considered constant and equal to 0.00008 [10]

Steel Reinforcement
Residual Function for the Initial Estimates
Residual Functions for the Efficient RA-STM Procedure
Algorithm for the Efficient RA-STM Procedure
Comparative Analysis with Experimental Results
Conclusions
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