## 4 Calculation Example
### Analysis Results of the Construction Technology Application
#### 4.2.1 Analysis of Cable Net Traction Lifting
Quasi-elliptical CR plane The plane of the CR is quasi-elliptical, and is composed of eight arc segments, four segments at the long and short axes and four segments at 45\({}^{\circ}\). The arc radius at the short and long axes is large, and the curvature is small. At the beginning of lifting, the CR fails to form a circumferential force, resulting in large out-of-plane bending, obvious inward shrinkage of the CR at the long and short axes, and a trend of local torsion. From C2 to C11, as the cable net is lifted continuously, the traction cable force increases gradually. At this time, the CR tends to form a circumferential force, and its deformation starts to decrease continuously. Therefore, the concerned structure responses are set as adjusting objectives [36], which are listed below: 1. The radial deformation of the CR must be positive; 2. All CR supports internal force must be negative. The adjusted lifting process of the project adopts cumulative section lifting: First, pull radial cables at the 45\({}^{\circ}\), where the CR has a relatively small radius and large curvature, and the tension ring elevation is the lowest. When the typical tension ring nodes elevated at 45\({}^{\circ}\) reach the position flush with those at the long axis, the long axis and 45\({}^{\circ}\) radial cables are pulled together. Finally, when all tension rings are horizontal, integral traction lifting at the same time can make the CR form an annular force, which is conducive to the configuration control of the CR. Analysis of Cumulative Section Traction Lifting According to the adjustment measures obtained from the analysis in the previous section, the cable net is divided into four sections, A, B, C and D, as shown in Figure 23. In this section, the cable net is pulled and lifted in the order of (A), (A, B), (A, B, C), (A, B, C, D). The cumulative section traction lifting sequence is shown in Figure 24, in which the red lines represent the traction cable. Figure 23: Section division of cable net. Figure 24: _Cont_. According to the adjusted traction lifting sequence, the analysis is divided into 11 calculation conditions, as shown in Figure 16:0 The lengths of traction cables under each calculation condition are shown in Table 11 (quarter symmetry of structure). \begin{table}
\begin{tabular}{c c c} \hline \hline
**Step** & **Calculation Condition** & **State** \\ \hline
1 & C1 & Cable net laid on stand \\ \hline
2 & C2 & Traction cable length reduced 10\% in section A \\ \hline
3 & C3 & Traction cable length reduced 10\% in sections A and B \\ \hline  & C4 & Traction cable length reduced 10\% in sections A, B, and C \\
4 & C5 & Traction cable length reduced 20\% in sections A, B, and C \\  & C6 & Traction cable length reduced 25\% in sections A, B, and C \\ \hline  & C7 & Entire length of traction cable reduced 20\% \\  & C8 & Entire length of traction cable reduced 40\% \\
5 & C9 & Entire length of traction cable reduced 60\% \\  & C10 & Entire length of traction cable reduced 80\% \\ \hline
6 & C11 & Traction lifting completed \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Calculation conditions during cumulative sectional traction lifting. Figure 24: Schematic diagram of cumulative sectional traction lifting. Figures 28 and 29 show internal force curves for four selected groups of CR brackets. From C1 to C6, due to the partial lifting of the cable net and the eccentric force on the CR, the internal forces of the inner supports at 45\({}^{\circ}\) gradually increase and those of the outer supports gradually decrease. From C6 to C11, all cables start to be lifted together. At this time, the eccentric force decreases and the internal forces are gradually distributed evenly. Notably, all supports remain under pressure during the whole traction lifting process, indicating that local torsion of the CR does not occur. Figure 28: Internal force variation curves of four groups of typical inner CR brackets. Figure 27: Variation curve of traction force during traction lifting.