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Earthquake Engineering Research - HKU Libraries - The University ...

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304<br />

concrete frames as documented in literature (Kowalsky et al. 2000). <strong>The</strong> program was<br />

then used to evaluate the ability of concrete bridges to withstand seismic disturbance.<br />

VALIDATION<br />

<strong>The</strong> dynamic tests of a prestressed lightweight concrete bridge model specimen were<br />

conducted at the <strong>University</strong> of California - San Diego (Kowalsky et al. 2000). <strong>The</strong><br />

dimensions and configuration of the specimen are shown in Fig. 5. <strong>The</strong> columns were<br />

circular RC columns with 203 mm -diameter cross section. <strong>The</strong> girder was 381 mm x381 mm<br />

square PC girder. A total prestress force of 445 kN was applied through four 15 mm<br />

Dywidag bars. It was a shake table experiment; the specimen was subjected to a<br />

predetermined ground motion, A mass block of 11643 kg was attached to the girder.<br />

<strong>The</strong> fiber discretization of the cross sections of the fiber element model is shown in<br />

Fig. 6. Since only two-dimensional analysis is needed, concrete of the cross section is<br />

divided into layer fibers. Seven and six control sections for girder and columns are used<br />

respectively. <strong>The</strong> material parameters used in the analysis are as indicated in Tables 1 and<br />

2. <strong>The</strong> prestress forces were simulated with two horizontal concentrated nodal forces at<br />

the two end nodes of the girder. <strong>The</strong> prestressing tendons were modeled by the offset<br />

stress and strain with offset yielding strength due to the pretension. It was reported in<br />

(Kowalsky et al.2000) that the strength of the steel was increased by strain rate and an<br />

average yield stress enhancement of 13% was applied to their section analysis with better<br />

agreement with experiment. Thus the average yield stress enhancement of 13% of steel<br />

was also Mowed in the fiber element analysis.<br />

Table 1 Analytical material parameters of steel<br />

/,(MPa)<br />

Hardening Ratio<br />

Es(MPa)<br />

dsu<br />

Main Bar (DIORebar)<br />

514.15<br />

0.006<br />

200000<br />

0.09<br />

Tendon (offset values)<br />

419.88<br />

0.0123<br />

186000<br />

—<br />

Table 2 Analytical material parameters of concrete<br />

/'c(MPa)<br />

do<br />

/«,(MPa)<br />

dm<br />

Unconfined<br />

35.5<br />

0.004<br />

15<br />

0.02<br />

Confined<br />

36<br />

0.0048<br />

16<br />

0.023

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