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

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where K 3 is a different empirical constant. Studies by both Ehsani and Gao<br />

recommend a K 3 value of 2850.<br />

In consideration of these recommendations, the ACI Report specifies the<br />

development length <strong>for</strong> FRP rein<strong>for</strong>cement is to be, conservatively,<br />

d<br />

b<br />

f<br />

fu<br />

l<br />

bf<br />

=<br />

(2.7)<br />

2700<br />

In SI units,<br />

d<br />

b<br />

f<br />

fu<br />

l<br />

bf<br />

=<br />

(2.8)<br />

18.5<br />

with units of mm and MPa.<br />

2.2 CANADIAN AND US STEEL-FREE DECK SLABS AND OTHER STRUCTURES<br />

Several types of nonferrous hybrid rein<strong>for</strong>cement systems can be engineered <strong>for</strong><br />

concrete bridge decks, some of which are illustrated in Fig. 2.4. Combinations of these<br />

systems also offer viable design alternates <strong>for</strong> nonferrous bridge deck rein<strong>for</strong>cing systems.<br />

The tied-arch approach used in Canada is illustrated in Fig. 2.4a. The tied-arch behavior of<br />

the deck slab is not very much unlike arch action (shaded region in Fig. 2.4b) in conventional<br />

rein<strong>for</strong>ced concrete beams after sufficient flexural cracking has occurred. The arch action<br />

becomes effective only after the deck slab cracks due to flexural tensile stresses. A layered<br />

hybrid composite system where the deck slab comprises of precast prestressed panels or<br />

precast stay-in-place <strong>for</strong>ms on the bottom, topped with cast-in-place concrete containing FRP<br />

rebar is shown in Fig. 2.4c. A hybrid rein<strong>for</strong>cement system using both continuous FRP<br />

rein<strong>for</strong>cing bars and fiber rein<strong>for</strong>ced concrete matrix shown in Fig. 2.4d represents the type<br />

of hybrid rein<strong>for</strong>cing system being studied in an ongoing project at the University of<br />

Missouri.<br />

The Salmon River <strong>Bridge</strong> in Nova Scotia, Canada is the first known steel-free<br />

concrete bridge deck and was built in 1995 (Bakht and Mufti, 1996). This design shown in<br />

Fig. 2.4a uses a deck slab rein<strong>for</strong>ced only with short discontinuous polypropylene fibers (Vf<br />

= 0.55%). <strong>Steel</strong> straps provided outside the deck slab tie the top flanges of the steel girders<br />

supporting the deck. The tied arch behavior is engineered through the use of shear studs<br />

(providing composite action between the deck slab and the steel girders) and steel straps.<br />

Fibers in the deck slab provide resistance to early-age plastic shrinkage cracking and<br />

28

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