# Reliability Analysis of the Main Pier during the Construction Period of HLCR Bridges
## 3 Reliability Analysis of the Main Pier of an HLCR Bridge with a Cradle Construction
### Project Examples
#### 3.3.4 Reliability Parameter Impact Analysis
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multicolumn{1}{c}{\(k_{p2}\)} & \multicolumn{2}{c}{\(k_{G}\)} & \multicolumn{2}{c}{\(v_{p}^{\prime}\)} & \multicolumn{2}{c}{\(k_{Q}\)} & \(k_{p2}\) \\ \hline \multirow{2}{*}{**Average**} & **Reliability** & \multirow{2}{*}{**Average**} & **Reliability** & \multirow{2}{*}{**Average**} & **Reliability** & \multirow{2}{*}{**Average**} & **Reliability** \\  & **Indicators** & & & & **Indicators** & & **Indicators** \\ \hline
1.00 & 11.1451 & 0.90 & 11.1822 & 0.25 & 11.1593 & 0.0 & 11.1594 \\
1.05 & 11.1555 & 0.95 & 11.1724 & 0.30 & 11.1592 & 0.5 & 11.1589 \\
1.10 & 11.1650 & 1.00 & 11.1626 & 0.35 & 11.1590 & 1.0 & 11.1585 \\
1.15 & 11.1731 & 1.05 & 11.1528 & 0.40 & 11.1588 & 1.5 & 11.1580 \\
1.20 & 11.1816 & 1.10 & 11.1430 & 0.45 & 11.1586 & 2.0 & 11.1575 \\
1.25 & 11.1889 & 1.15 & 11.1332 & 0.50 & 11.1585 & 2.5 & 11.1571 \\
1.30 & 11.1956 & 1.20 & 11.233 & 0.55 & 11.1583 & 3.0 & 11.1566 \\
1.35 & 11.2019 & 1.25 & 11.1135 & 0.60 & 11.1581 & 3.5 & 11.1561 \\
1.40 & 11.2077 & 1.30 & 11.1036 & 0.65 & 11.1580 & 4.0 & 11.1557 \\
1.45 & 11.2130 & 1.35 & 11.0937 & 0.70 & 11.1578 & 4.5 & 11.1552 \\
1.50 & 11.2181 & 1.40 & 11.0838 & 0.75 & 11.1576 & 5.0 & 11.1547 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Effect of coefficient of average value of each parameter on stability reliability index under combination I. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multicolumn{2}{c}{\(k_{p1}\)} & \multicolumn{2}{c}{\(k_{mh}\)} & \multicolumn{2}{c}{\(v_{p}^{{}^{\prime}}\)} & \multicolumn{2}{c}{\(k_{G}\)} \\ \hline \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** \\ \hline
0.90 & 6.6044 & 1.00 & 6.4882 & 0.25 & 6.6611 & 0.90 & 6.7815 \\
0.95 & 6.6407 & 1.05 & 6.5269 & 0.30 & 6.6717 & 0.95 & 6.7536 \\
1.00 & 6.734 & 1.10 & 6.5620 & 0.35 & 6.6823 & 1.00 & 6.7257 \\
1.05 & 6.7028 & 1.15 & 6.5940 & 0.40 & 6.6928 & 1.05 & 6.6977 \\
1.10 & 6.7296 & 1.20 & 6.6232 & 0.45 & 6.7033 & 1.10 & 6.6697 \\
1.15 & 6.7539 & 1.25 & 6.6501 & 0.50 & 6.7138 & 1.15 & 6.6416 \\
1.20 & 6.7763 & 1.30 & 6.6748 & 0.55 & 6.7243 & 1.20 & 6.6135 \\
1.25 & 6.7968 & 1.35 & 6.6977 & 0.60 & 6.7348 & 1.25 & 6.5853 \\
1.30 & 6.8156 & 1.40 & 6.7189 & 0.65 & 6.7452 & 1.30 & 6.5570 \\
1.35 & 6.8330 & 1.45 & 6.7386 & 0.70 & 6.7556 & 1.35 & 6.5287 \\
1.40 & 6.8492 & 1.50 & 6.7571 & 0.75 & 6.7659 & 1.40 & 6.5003 \\ \hline \multicolumn{2}{c}{\(v_{p}\)} & \multicolumn{2}{c}{\(k_{Q}\)} & \multicolumn{2}{c}{\(v_{Q}\)} & \multicolumn{2}{c}{} \\ \hline \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** & \multirow{2}{*}{**Average**} & **Reliability Indicators** \\ \hline
0.000 & 6.7723 & 0.0 & 6.7152 & 0.00 & 6.7145 & \\
0.005 & 6.7607 & 0.5 & 6.7145 & 0.01 & 6.7142 & \\
0.010 & 6.7490 & 1.0 & 6.7138 & 0.02 & 6.7140 & \\
0.015 & 6.737  
Analysis of the influence of stability reliability parameters of the main pier under combination II  
As can be seen from Figure 6, under this combination of conditions, the influence of the uncertainty coefficient of the resistance calculation mode on the structural stability and reliability index is greater, and the influence of the constant load statistical parameter of the cast beam section on the structural stability and reliability is smaller. Table 6 shows that under this combined working condition, the change in resistance and the average weight ratio of poured blocks have little effect on the change in the reliability index.