# Proposed New Analytical Method of Tower Load in Large-Span Arch Bridge Cable Lifting Construction
## 3 Accuracy Verification of Calculation Method
### Numerical Model
#### 3.2.2 Loads in Analysis  
The main purpose of setting the initial tension of the wind cable is to reduce the influence of nonlinear factors such as sag. Since the wind cable has a larger initial tension, it can be regarded as an elastic unit that can bear tensile pressure when the tension is greater than zero, and the tension decreases when it is under pressure. The initial tension of the wind cable is approximately simulated by the initial strain load. The strain value corresponding to the initial tension of wind cable is calculated as:  
\[\varepsilon_{0i}=\frac{T_{0i}}{E_{i}\times A_{i}} \tag{35}\]  
where \(T_{0i}\) represents the initial tension of wind cable (kN), \(E_{i}\) represents elastic modulus of steel cable (kN/mm\({}^{2}\)), and \(A_{i}\) represents the cross-sectional area of wind cable (mm\({}^{2}\)). The elastic modulus of the steel-core steel cable is 105 kN/mm\({}^{2}\) and of the fiber-core steel cable is 75.6 kN/mm\({}^{2}\). The initial strain values of the wind cable calculated by Equation (35) are shown in Table 3.  
Figure 8: Numerical calculation model of tower: (**a**) tower; (**b**) distribution beam at top of cable tower; (**c**) steel pipe column and universal rods; (**d**) universal rods; (**e**) distribution beam at top of buckle tower; (**f**) hinge seat distribution beam. \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Bank Site** & **Designation of Wind Cable** & **Specification of Steel Cable** & \(A_{i}\) **(mm\({}^{2}\))** & \(T_{0i}\) **(kN)** & \(\varepsilon_{0i}\) \\ \hline \multirow{6}{*}{Left} & Inter-span wind cable for cable tower & 10\(\%\)56 mm Fiber-core steel cable & \multirow{2}{*}{1233.8} & \multirow{2}{*}{400.000} & \multirow{2}{*}{4.288 \(\times\) 10\({}^{-3}\)} \\  & & (6 \(\times\) 375 + FC 1670 Mpa) & & & \\  & Wind cable behind cable tower & 6\(\times\)32 mm Steel-core steel cable & \multirow{2}{*}{2807.2} & \multirow{2}{*}{433.217} & \multirow{2}{*}{1.470 \(\times\) 10\({}^{-3}\)} \\  & Cross-wind cable for cable tower & & & & \\  & Wind cable before sling tower & 6\(\times\)22 mm Fiber-core steel cable & \multirow{2}{*}{1142.5} & \multirow{2}{*}{416.909} & \multirow{2}{*}{4.827 \(\times\) 10\({}^{-3}\)} \\  & Wind cable behind sling tower & (6 \(\times\) 375 + FC 1670 Mpa) & & & \\  & Cross-wind cable for sling tower & & & & \\  & Inter-span wind cable for cable tower & 10\(\%\)56 mm Fiber-core steel cable & \multirow{2}{*}{1233.8} & \multirow{2}{*}{400.000} & \multirow{2}{*}{4.288 \(\times\) 10\({}^{-3}\)} \\  & & (6 \(\times\) 375 + FC 1670 Mpa) & & & \\  & & 6\(\times\)32 mm Steel-core steel cable & \multirow{2}{*}{2807.2} & \multirow{2}{*}{484.204} & \multirow{2}{*}{1.643 \(\times\) 10\({}^{-3}\)} \\ Right & Wind cable behind cable tower & 6\(\times\)375 + IWR 1670 Mpa) & & & \\  & Cross-wind cable for cable tower & & & & \\  & Wind cable before sling tower & 6\(\times\)22 mm Fiber-core steel cable & \multirow{2}{*}{622.718} & \multirow{2}{*}{4.894 \(\times\) 10\({}^{-3}\)} \\  & Wind cable behind sling tower & (6 \(\times\) 375 + FC 1670 Mpa) & & & \\  & Cross-wind cable for sling tower & 1142.5 & 318.019 & \multirow{2}{*}{3.682 \(\times\) 10\({}^{-3}\)} \\ Right & Wind cable behind cable tower & 10\(\%\)56 mm Fiber-core steel cable & \multirow{2}{*}{346.410} & \multirow{2}{*}{4.011 \(\times\) 10\({}^{-3}\)} \\ Right & Wind cable behind cable tower & (6 \(\times\) 375 + IWR 1670 Mpa) & & & \\  & Cross-wind cable for cable tower & & & \\  & Wind cable before sling tower & 6\(\times\)22 mm Fiber-core steel cable & \multirow{2}{*}{622.718} & \multirow{2}{*}{4.894 \(\times\) 10\({}^{-3}\)} \\  & Wind cable behind sling tower & (6 \(\times\) 375 + FC 1670 Mpa) & & & \\  & Cross-wind cable for sling tower & 1142.5 & 346.410 & \multirow{2}{*}{3.682 \(\times\) 10\({}^{-3}\)} \\ \hline \hline \end{tabular} Note: The \(\varphi\) in the table represents the diameter of a steel cable section.  
\end{table} 
Table 3: Initial tension and initial strain of wind cable on tower.