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Lightweight Concrete for High Strength - Expanded Shale & Clay

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l<br />

d<br />

= l<br />

t<br />

+ l<br />

fb<br />

⎛<br />

= ⎜<br />

⎝<br />

f<br />

d<br />

⎞ ⎛ 6.4( f<br />

− 21⎟<br />

+ ⎜<br />

⎠ ⎝<br />

−<br />

pt b<br />

su<br />

4<br />

'<br />

'<br />

f<br />

c<br />

f<br />

c<br />

f<br />

se<br />

) d<br />

b<br />

26<br />

⎟ ⎞<br />

+<br />

⎠<br />

( A.25)<br />

l<br />

d<br />

= l<br />

t<br />

+ l<br />

fb<br />

⎛<br />

= ⎜<br />

⎝<br />

f<br />

d<br />

⎞ ⎛ 6.4( f<br />

− 5⎟<br />

+ ⎜<br />

⎠ ⎝<br />

−<br />

pt b<br />

su<br />

4<br />

'<br />

'<br />

f<br />

c<br />

f<br />

c<br />

f<br />

se<br />

) d<br />

b<br />

15<br />

⎟ ⎞<br />

+<br />

⎠<br />

( A.26)<br />

A.11.11 Barnes, Burns and Kreger, 1999<br />

Barnes, Burns and Kreger tested 36 AASHTO Type I normal weight HPC girders having<br />

release strengths from 4,000 to 7,000 psi and strengths at testing from 5,700 to 11,000 psi. All<br />

prestressing strands were 0.6-inch diameter Grade 270 ksi LOLAX strands in either a “bright” or<br />

“rusted” surface condition. Included in the test program were girders with fully bonded strands<br />

and debonded strands. One of the outcomes of the research program was Equation A.27 <strong>for</strong><br />

predicting development length.<br />

l<br />

d<br />

=<br />

5 ⎛<br />

⎜<br />

4 ⎜<br />

⎝<br />

f<br />

pt<br />

f<br />

'<br />

ci<br />

+ ( f<br />

ps<br />

−<br />

f<br />

pe<br />

) d<br />

⎟ ⎟ ⎞<br />

⎠<br />

b<br />

( A.27)<br />

A.11.12 Peterman, Ramirez, Olek, 2000<br />

Peterman, Ramirez, and Olek conducted research on HSLC bridge girders. Their<br />

research is the only other research known where HSLC girders using 0.6-inch diameter strands<br />

were tested. Their report indicated that all multiple strand specimens were rein<strong>for</strong>ced with<br />

sufficient stirrups to prevent web-shear cracking at the member ends. The prevention of shear<br />

cracking in the transfer region has been shown to result in strand slip causing premature shear<br />

failure.<br />

2.11.13 Kolozs, 2000<br />

Kolozs, under the supervision of Professors Ned Burns and John Breen, tested HSLC<br />

girders with strengths between 6,000 and 8,000 psi prestressed with ½-inch diameter Grade 270<br />

LOLAX strand. Kolozs found the current AASHTO equation <strong>for</strong> development length was<br />

conservative.<br />

A-23

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