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<doi>/ISEC.res.2017.136</doi>
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<article-title>BRITTLE/DUCTILE ASSESSMENT OF<br/>
HYBRID REINFORCED CONCRETE BEAMS<br/>
CONTAINING STEEL REBAR AND FIBERS</article-title>
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<author>ALESSANDRO P. FANTILLI, ANDREA GORINO, and BERNARDINO CHIAIA</author>

<aff>Dept of Structural, Building and Geotechnical Engineering, Politecnico di Torino,<br/>
Turin, Italy</aff>


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<abstract>
<title>ABSTRACT</title>
<p>Many structures, such as precast and cast-in-situ tunnel linings, are nowadays realized
with Hybrid Reinforced Concrete (HRC), where a combination of continuous steel
rebar and discrete fibers is used to reinforce the cementitious matrix. Hence, the
definition of a minimum amount of hybrid reinforcement (i.e., rebar and fibers), which
prevents the brittle failure, is of practical interest. For predicting the brittle/ductile
response of HRC beams in bending, a theoretical model is introduced and presented in
this paper. It is based on the flexural response of both Lightly Reinforced Concrete
(LRC) and Fiber-Reinforced Concrete (FRC) beams, separately analyzed. The
numerical results of the model, and some experimental data as well, show that the
minimum reinforcement of HRC beams can be determined with a new design
procedure. It requires the definition of the ductility index (DI), which is proportional to
the difference between ultimate and effective cracking load. As DI linearly increases
with the amount of rebar and fibers, the minimum reinforcement in HRC members can
be found when DI is equal to zero. In addition, the minimum hybrid reinforcement can
be defined with a suitable linear combination of the minimum area of rebar and the
minimum fiber volume fraction, related to LRC and FRC beams, respectively.</p>
<p><italic>Keywords: </italic>Bending moment, Minimum reinforcement, Ductility index (DI).</p>
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