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Lightweight Concrete for High Strength - Expanded Shale & Clay

Lightweight Concrete for High Strength - Expanded Shale & Clay

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losses in the 10,000-psi girders totaled 29.6 ksi which was lower than that of the 8,000-psi<br />

girders by 7.6 ksi. AASHTO-LRFD refined and lump sum methods overestimated total loses by<br />

22.3 and 3.7 ksi, respectively.<br />

In Figure 6.2, the predicted-to-measured ratio is shown. Losses are grouped in elastic<br />

shortening, creep and shrinkage, total time dependent, and total losses. Overestimates appear as a<br />

predicted-to-measured ratio greater than one, and the underestimates as lower than one. The four<br />

methods overestimated the total time-dependent prestress losses, but they underestimated elastic<br />

shortening losses regardless the type of HPLC. The AASHTO-LRFD refined, PCI and ACI-209<br />

overestimated creep and shrinkage losses (CR + SH) by at least 100%. The underestimate in<br />

steel relaxation losses given by the PCI and ACI-209 methods was probably due to the much<br />

higher creep and shrinkage losses that they predicted which decreased predicted relaxation in the<br />

steel.<br />

Figures 6.3 and 6.4 present measured and predicted strain data found from cylinder<br />

specimens. The fact that all methods underestimated elastic shortening was probably a<br />

consequence of the procedures <strong>for</strong> measuring elastic shortening. The strain measurement was<br />

taken after prestress transfer, which took approximately one hour. There<strong>for</strong>e, the first reading<br />

after transfer included not only instantaneous elastic strain, but also early creep and shrinkage.<br />

The same argument can be used to explain why all methods overestimated time dependent<br />

losses.<br />

Within time-dependant losses (TD), differences between estimates primarily were due to<br />

shrinkage losses. For the 8,000 psi girders, the PCI method estimated shrinkage losses as 5.1 ksi<br />

(2.5%) while ACI-209 method estimated it to be 11.3 ksi (5.6%).<br />

As shown in Figures 6.3 and 6.4, the largest relative differences were obtained on the<br />

shrinkage portion where PCI and AASHTO refined methods significantly underestimated<br />

shrinkage losses. For the 8,000 psi HPLC, the PCI and AASHTO refined methods<br />

underestimated creep; but <strong>for</strong> the 10,000 psi HPLC those estimates were close to the measured<br />

creep strains. The ACI-209 method gave the best creep estimate <strong>for</strong> the 8,000 psi HPLC, but it<br />

overestimated creep <strong>for</strong> the 10,000 psi girders.<br />

6-3

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