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

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

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LIST OF NOTATIONS<br />

a<br />

distance from the support to the point load applied, in.<br />

A effective tension area per bar, in. 2<br />

A CFRP<br />

A GFRP<br />

area of CFRP rein<strong>for</strong>cement<br />

area of GFRP rein<strong>for</strong>cement<br />

A f area of rebars, in. 2<br />

A split concrete splitting area, in. 2<br />

b e<br />

C<br />

C E<br />

d<br />

d b<br />

d c<br />

d CFRP<br />

d GFRP<br />

E c<br />

E CFRP<br />

E GFRP<br />

E f<br />

E t<br />

E e<br />

E 0.75Pu<br />

F<br />

f '<br />

c<br />

f ct<br />

f CFRP<br />

f GFRP<br />

effective beam width, in.<br />

cover depth, in.<br />

environmental reduction factor<br />

distance from the extreme compression fiber to centroid of the tension<br />

rein<strong>for</strong>cement<br />

diameter of rebar, in.<br />

thickness of concrete cover measured from extreme tension fiber to the center<br />

of the closest layer of longitudinal bars<br />

effective depth of CFRP rein<strong>for</strong>cement<br />

effective depth of GFRP rein<strong>for</strong>cement<br />

modulus of elasticity of concrete, psi<br />

elastic modulus of CFRP rein<strong>for</strong>cement<br />

elastic modulus of GFRP rein<strong>for</strong>cement<br />

modulus of elasticity of FRP rebar, psi<br />

total energy of the system, kips-in.<br />

elastic energy, kips-in.<br />

energy corresponding at 75% of the ultimate load, kips-in.<br />

friction <strong>for</strong>ce on de<strong>for</strong>mation with unit area, psi<br />

concrete compressive strength, psi<br />

concrete splitting tensile strength, ksi<br />

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

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

f CFRP<br />

allowable stress in the CFRP rein<strong>for</strong>cement <strong>for</strong> working stress design<br />

xiv

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