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S - Kam Ng PhD Dissertation Final.pdf - Digital Repository of CCEE ...

S - Kam Ng PhD Dissertation Final.pdf - Digital Repository of CCEE ...

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199Table 5.2: Comparison <strong>of</strong> Resistance Factors Obtained using the Conventional LRFDframework based on WEAP-SACaseResistanceRatio (RR)SampleSizeλ RCOV RNominal PileResistance(R)β T = 2.33 β T = 3.00φ φ/λ φ φ/λ1 R m-t /R e-restrike 7 0.959 0.140 R e-restrike 0.69 0.72 0.58 0.612 R m-t /R e-EOD 30 1.723 0.211 R e-EOD 1.11 0.65 0.91 0.533 R m-t /R e-t30 1.029 0.190 R e-t (Eq. 5.1) 0.69 0.67 0.57 0.55(28) (1.059) (0.156)4 R m-EOD /R e-EOD 8 1.111 0.157 R e-EOD 0.78 0.71 0.65 0.595 R m-setup /R e-setup 28 0.950 0.317 Not applicable for Eq. (5.2)The target reliability indices (β T ) <strong>of</strong> 2.33 (corresponding to 1% probability <strong>of</strong> failure) and3.00 (corresponding to 0.1% probability <strong>of</strong> failure) as recommended by Paikowsky et al.(2004) for representing redundant and non-redundant pile groups, respectively, were used inthe calculations.Based on the calculated resistance biases and coefficients <strong>of</strong> variation, the respectiveresistance factors (φ) and efficiency factors (φ/λ) were calculated using Eq. (5.2) as listed inTable 5.2. Due to the occurrence <strong>of</strong> pile setup in each data point that was measured using aSLT conducted several days (ranging between 1 and 44 days) after EOD, a large λ R value <strong>of</strong>1.723 and a moderate COV R <strong>of</strong> 0.211 were determined for Case 2 (R m-t /R e-EOD ), andunrealistic high resistance factors <strong>of</strong> 1.11 and 0.91 were yielded for the β T values <strong>of</strong> 2.33 and3.00, respectively. It should be recognized that a constant ―pseudo pile setup factor‖ resultedfrom a relative large λ R value during the resistance factor calibration using Eq. (5.2),regardless <strong>of</strong> cohesive soil properties and time elapsed, was indirectly included in theresistance factors. Although the total pile resistances were effectively estimated using Eq.(5.1a), as shown in Case 3 with the λ R value (1.029) closes to unity and a moderate COV R <strong>of</strong>0.190, the difference between the COV R value <strong>of</strong> 0.190 for Case 3 and 0.317 for setup (Case5) confirms that the conventional LRFD calibrating procedure cannot account for thedifference uncertainties associated with the initial pile resistance (R EOD ) and the setupresistance (R setup ) within the conventional LRFD frame work. Even if the same sample size<strong>of</strong> 28 for setup is evaluated for Case 3, the COV R value reduces to 0.156, which is againdifferent from that for setup. Therefore, use <strong>of</strong> a single resistance factor <strong>of</strong> 0.69 when β T <strong>of</strong>

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