69_HWKTTE 4004c - 59 Table 6-4. Values Evaluated for PDA...

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59 Table 6-4. φ Values Evaluated for PDA (BOR) Span length Failure Probability p f / Reliability Index β Τ (m) Q D /Q L 2.50E-02 6.22E-03 1.22E-03 1.79E-04 1.96 2.50 3.03 3.57 9 0.52 0.682 0.557 0.457 0.373 15 1.00 0.654 0.534 0.438 0.358 18 1.06 0.652 0.532 0.436 0.356 27 1.58 0.634 0.518 0.425 0.347 36 2.12 0.622 0.508 0.417 0.340 45 2.64 0.614 0.501 0.411 0.336 50 3.00 0.609 0.498 0.408 0.333 60 3.53 0.604 0.493 0.404 0.330 Table 6-5. ASD Design Safety Factor Values Evaluated for PDA (BOR) Span length Failure Probability p f / Reliability Index β Τ (m) Q D /Q L 2.50E-02 6.22E-03 1.22E-03 1.79E-04 1.96 2.50 3.03 3.57 9 0.52 2.316 2.835 3.458 4.234 15 1.00 2.293 2.807 3.424 4.192 18 1.06 2.291 2.805 3.421 4.188 27 1.58 2.277 2.787 3.400 4.163 36 2.12 2.267 2.776 3.386 4.145 45 2.64 2.260 2.768 3.376 4.133 50 3.00 2.257 2.763 3.370 4.127 60 3.53 2.253 2.758 3.364 4.119 Table 6-6. φ Factors for Safety Factor = 2.50 – PDA (BOR) Span length (m) Q D /Q L φβ p f 9 0.52 0.632 2.164 0.0418 15 1.00 0.600 2.191 0.0373 18 1.06 0.597 2.193 0.0369 27 1.58 0.578 2.210 0.0344 36 2.12 0.564 2.221 0.0328 45 2.64 0.555 2.229 0.0317 50 3.00 0.550 2.233 0.0311 60 3.53 0.544 2.238 0.0304
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60 At a target reliability index of 2.5 for both EOD and BOR, the φ factor decreases only 6.8% and the safety factor decreases only 1.6% when the span length increased from 15.0 meters to 50.0 meters. The latter phenomenon was observed throughout all the methods evaluated. Thus, for practical purposes the rest of LRFD analysis results are summarized for a 27 meters bridge span length.
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This note was uploaded on 10/19/2011 for the course TTE 4004c taught by Professor Hass during the Spring '11 term at University of Florida.

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69_HWKTTE 4004c - 59 Table 6-4. Values Evaluated for PDA...

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