# Proposed New Analytical Method of Tower Load in Large-Span Arch Bridge Cable Lifting Construction
## 3 Accuracy Verification of Calculation Method
### Discussion and Analysis of Data  
Figure 10 shows the overall deformation of the tower at the right bank under the load of only the cable system. The overall deformation is mainly contributed to by the longitudinal deformation, and the transversal deformation and vertical deformation are smaller. Since the maximum displacement of the tower top occurs on the right bank, the deformation of the tower at the left bank is smaller, so the numerical simulation diagram of tower deformation at the left bank need not be given. The maximum deformation of the tower top under the action of load condition 1 occurs at the edge of the tower top that is near the upstream side, and the maximum longitudinal displacement is 197.1 mm. The maximum deformation of the tower top under the action of load condition 2 occurs at the center of the tower top, and the maximum longitudinal displacement is 138.7 mm. The maximum deformation of the tower top under the action of load condition 3 occurs at the edge of the tower top that is near the downstream side, and the maximum longitudinal displacement is 199.4 mm. Table 6 shows the numerical calculation results of the maximum displacement of the tower top under the three load conditions. The error of the maximum displacement of the tower top is the absolute value, which is the actual measured value subtracted by the numerical calculated value. Table 7 lists the error values of the maximum displacement of the tower top. The maximum longitudinal displacement error is within 5.2 mm, the maximum transversal displacement error is within 1.4 mm, and the maximum vertical displacement error is within 2.3 mm for the towers under each load condition. The smaller errors may be caused by numerical simulations or engineering measurements but are within tolerable limits. The errors within the tolerance range prove the correctness of the calculation method and have sufficient accuracy to  
Figure 10: Deformation of tower at right bank (unit: mm): (**a**) Load 1; (**b**) Load 2; (**c**) Load 3. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Load Condition** & **Tower Site** & \begin{tabular}{c} **Longitudinal** \\ **Displacement** \\ \end{tabular} & \
\begin{tabular}{c} **Transversal** \\ **Displacement** \\ \end{tabular} &
\begin{tabular}{c} **Vertical** \\ **Displacement** \\ \end{tabular} \\ \hline \multirow{3}{*}{1} & Left bank & \(-41.2\) & \(0\) & \(7.7\) \\  & Right bank & \(192.1\) & \(-5.7\) & \(-20.5\) \\  & Left bank & \(-28.4\) & \(0\) & \(-7.0\) \\  & Right bank & \(134.4\) & \(0\) & \(-18.3\) \\  & Left bank & \(-43.1\) & \(0\) & \(-8.9\) \\  & Right bank & \(194.2\) & \(2.5\) & \(-22.1\) \\ \hline \hline \end{tabular} Note: Negative values of longitudinal displacement indicate displacement toward the right bank, and positive values indicate displacement toward the left bank. Negative values of transversal displacement indicate displacement toward the downstream; positive values indicate displacement toward the upstream. A negative value of vertical displacement indicates that the displacement is downward.  
\end{table} 
Table 5: Maximum measured displacement at tower top (unit: mm). meet the requirements of engineering applications. The validation method also proves the correctness of the numerical calculation. According to the calculation results listed in Table 6, the maximum displacement of the tower at the left bank toward the river is 45.3 mm, and the maximum displacement of the tower at the right bank toward the river is 199.4 mm. To achieve the purpose of making the maximum forward and maximum backward displacement of towers tend to be close, it is possible to pre-deflect backward 100 mm of the installation displacement of the tower at the right bank by initial tension of the wind cable. To reduce the nonlinear effect of the wind cable sag and increase the restraint effect of the wind cable on the towers, all wind cables are set with a certain initial tension.