Single Web Shear Element Model for Shear Strength of RC Beams with Stirrups

Abstract

In this paper, an analytical model to rationally evaluate the shear strength of reinforced concrete beams with stirrups has been developed. In the developed model, a shear critical section has been idealized with a single web element for shear and the top and bottom chords for flexure, respectively. With the longitudinal strain at the mid-depth in the shear critical section, evaluated from the flexural analysis, the web element has been analyzed, based on the analysis procedure modified from the modified compression field theory finite element formulation. Through the comparison with the test results of 201 reinforced concrete beams with stirrups exhibiting shear failure before flexural yielding, it was investigated that the developed model well predicted the actual shear strength of reinforced concrete beams with stirrups. In addition, it was investigated that the developed model rationally considered the effect of main parameters such as concrete compressive strength, shear span-depth ratio, stirrup ratio, and member depth. Through simplification, the developed model can be useful to develop more rational shear design provisions for reinforced concrete members with stirrups.

Modelling of Shear Strength for Reinforced Concrete Beams Provided with Side-Face Reinforcement in Dependence of Crack Inclination Angle

“…Shear stress distribution along non-cracked compression region of cracked rectangular cross section of RC-beam has parabolic distribution [31], while it exhibits a uniform distribution through the cracked web shear region [19], as shown on Fig (4). The contribution of the top compression region in resisting shear force is calculated to 0.07 by considering the geometrical shape of shear stress distribution, while 0.93 is resisted by the concrete in web shear region [12]. Denoting the compression force in the inclined concrete strut that transfers shear resisted by concrete in the web region as , and equilibrate forces acting on the beam portion shown on Fig (5-a), thus, the shear force resisted by concrete in the web shear region, , equals the vertical component of the compression force ,…”

“…During the past few decades, huge number of researches have been conducted to investigate the different parameters that affect shear behavior of RC-beams, such as web reinforcement [1][2][3][4][5], longitudinal reinforcement [5][6][7][8], beam size [5,9,10], and concrete strength [2,3]. Many researches are associated with modelling of shear strength of RC-beams with stirrups as web reinforcement [1,11,12]. So far, shear design provisions differ from each other even from theoretical basis [13][14][15][16].…”

Untitled

“…Shear behaviour of reinforced concrete beams is very complicated due to many parameters such as concrete compressive strength, stirrup ratio, shear span-to-depth ratio, longitudinal reinforcement ratio, and so on (Lee et al 2010, Labib et al 2013, Mofidi and Chaallal 2014, Chiu et al 2016, El-Sayed and Shuraim 2016, Zhang et al 2017, Jude et al 2018. It is, therefore, hard to evaluate shear strength of reinforced concrete beams.…”