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Steel Free Hybrid Reinforcement System for Concrete Bridge Decks ...

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T CFRP<br />

T GFRP<br />

u<br />

u ’<br />

u 0.002<br />

u 0.01<br />

u design<br />

u b,f<br />

u b,s<br />

u test<br />

u theo.<br />

w<br />

V f<br />

α<br />

β<br />

β d<br />

∆ mid <br />

ε CFRP<br />

ε cu<br />

ε GFRP<br />

tensile <strong>for</strong>ce in the CFRP rein<strong>for</strong>cement<br />

tensile <strong>for</strong>ce in the GFRP rein<strong>for</strong>cement<br />

bond strength (longitudinal component of R), psi<br />

bond strength at second peak, psi<br />

bond strength at the slip of 0.002 in. at the free end, psi<br />

bond strength at the slip of 0.01 in. at the loaded end, psi<br />

design bond strength , psi<br />

bond strength of FRP rebar to concrete, psi<br />

bond strength of steel rebar to concrete, psi<br />

bond strength based on test results, psi<br />

theoretical bond strength, psi<br />

crack width at tensile face of the beam, in.<br />

volume fraction of fibers<br />

rib angle<br />

coefficient to converse crack width corresponding to the level of<br />

rein<strong>for</strong>cement to the tensile face of beam<br />

modification factor <strong>for</strong> FRP rein<strong>for</strong>ced beam<br />

mid-span deflection, in.<br />

elastic stress in the CFRP rein<strong>for</strong>cement<br />

ultimate concrete strain<br />

elastic stress in the GFRP rein<strong>for</strong>cement<br />

ψ ε=0.001 curvature at concrete strain of 0.001<br />

ψ u<br />

γ<br />

curvature at ultimate<br />

adjustment factor <strong>for</strong> different embedment length<br />

µ friction coefficient<br />

µ Ε ductility index<br />

ρ f<br />

ρ fb<br />

rein<strong>for</strong>cing ratio of FRP rein<strong>for</strong>ced concrete<br />

balanced rein<strong>for</strong>cing ratio of FRP rein<strong>for</strong>ced concrete<br />

xvi

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