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Establishment and experimental validation of an updated predictive equation for the development and lap-spliced length of GFRP bars in concrete

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Abstract

Glass fibre-reinforced polymer (GFRP) reinforcement due to its physical and mechanical behavior has a completely different bond behavior compared to the steel bars. In this paper, an equation is proposed to predict the splice length in GFRP-reinforced concrete beams. First, equations for the local bond strength and displacement modulus of GFRP bars are obtained by using the eccentric and concentric pull-out test results given in the literature. Then, an equation is derived for the bond strength of spliced GFRP bars in beams. In the derivation of this equation, the non-uniform distribution of the bond stress along the splice length and the effect of elastic modulus of GFRP bars are taken into account. Compared to other available equations and design guidelines, the proposed equation for bond strength calculation shows good agreement with the experimental results. Using the proposed equation for bond strength, an equation is also proposed for the splice length of GFRP bars.

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Abbreviations

A b :

Sectional area of longitudinal reinforcing bar

A t :

Sectional area of one leg of transverse reinforcement

C :

Minimum of C x , C y , and (C s  + db)/2

C Med :

Median of C x , C y , and (C s  + db)/2

C s :

Spacing between spliced bars

C x :

Side cover of reinforcing bars

C y :

Bottom cover of reinforcing bars

d b :

Longitudinal bar diameter

E frp :

Elastic modulus of FRP bars

E s :

Elastic modulus of steel bars

\(f_{\text{c}}^{\prime }\) :

Compressive strength of concrete

f cr :

Cracking strength of concrete

f f :

Experimental bar stress of reinforcement

f frpu :

Ultimate tensile strength of FRP bars

f R :

Factor to include the effect of relative rib area of steel bars

K :

Displacement modulus of FRP bars

k 1 :

Bar location factor

k 2 :

Concrete density factor

k 3 :

Bar size factor

k 4 :

Bar fiber factor

k 5 :

Bar surface profile factor

K tr :

Transverse reinforcement index

l d :

Splice length

S :

Spacing of transverse reinforcement

S(x) :

Slip between bar and concrete

T :

Maximum tensile force

u ave :

Average bond stress

u c :

Local bond strength

u m :

The average bond stress at failure

u max :

Maximum bond stress

u min :

Minimum bond stress

u (x) :

Bond stress over the splice length

α :

Bar location factor

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Author information

Authors and Affiliations

  1. Civil Engineering Department, Alzahra University, Tehran, Iran

    Mehrollah Rakhshanimehr

  2. Civil Engineering Department, University of Sistan and Baluchestan, Zahedan, Iran

    Seyed Roohollah Mousavi & Saeed Farahi Shahri

  3. Civil Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran

    M. Reza Esfahani

Authors
  1. Mehrollah Rakhshanimehr
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  2. Seyed Roohollah Mousavi
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  3. M. Reza Esfahani
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  4. Saeed Farahi Shahri
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Correspondence to Mehrollah Rakhshanimehr.

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Rakhshanimehr, M., Mousavi, S.R., Esfahani, M.R. et al. Establishment and experimental validation of an updated predictive equation for the development and lap-spliced length of GFRP bars in concrete. Mater Struct 51, 15 (2018). https://doi.org/10.1617/s11527-018-1137-8

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