## 4 Results
### CAE ANN Results for Multi-Parametric (mD) Model
The height of the cross-section, H, is fixed at values of 2.5 m and 3.5 m. The first value (Figure 6a,c) was chosen as the approximate average of all cross-section heights from the database, and the second value (Figure 6b,d) as the height of the cross-section for larger spans. The first observed output parameter was the cross-sectional area. The highest data density is in the range of 12.5 to 14.5 m for slenderness and the range of 13 to 14 m for cross-section width, as can be seen from a comparison of Figure 6a,b, but it is significantly lower for a larger cross-section height (i.e., H = 3.5 m). As the cross-section height increases, the cross-sectional area grows. Obviously, for smaller values of cross-section height, the influence of cross-section width on the cross-sectional area decreases more quickly (the influence of slenderness increases). The quantity of cables in the use phase was the second output parameter that was observed. The highest data density for the construction span is at a cross-section height of 2.5 m for values between 35 m and 45 m and at a cross-section width of 13 m to 14.5 m, and at a height of 3.5 m, it is in the range of values between 40 m and 55 m and at a cross-section width of 13.5 m to 14.5 m, as can be seen from a comparison of Figure 6c,d. The difference in data density for the two fixed heights of the cross-section  
Figure 6: Results of three-parametric CAE ANN models for two continuous input parameters (slenderness (**a,b**) or construction span (**c,d**) on horizontal axis, cross-section width on vertical axis) at a fixed value of the third input parameter (cross-section height, H = 2.5 m (**a,c**) and H = 3.5 m (**b,d**)). The output parameters are cross-sectional area and quantity of cables, respectively. is because a higher cross-section is required to overcome larger spans. It can be noted that the quantity of cables for both cross-section heights, 2.5 m and 3.5 m, are comparable. Figure 7 also shows three-parametric results. The input parameters are slenderness, the width of the cross-section and the cross-sectional area in Figure 7a,b, and the construction span, width of the cross-section, and cross-sectional area in Figure 7c,d. The cross-sectional area, \(\rm A_{x}\), is fixed at the values of 8 m\({}^{2}\) and 5 m\({}^{2}\). The first observed parameter is the quantity of cables in use phase (Figure 7a,b). The highest data density is in the slenderness, with values of 12.5 to 14 m, and in the cross-section width, with values of 11 to 13 m at \(\rm A_{x}\) = 8 m\({}^{2}\). At \(\rm A_{x}\) = 5 m\({}^{2}\), there is a slight shift in the high-density data area to smaller values of slenderness and cross-section width. The quantity of cables in the highest data density area is also slightly higher for a cross-sectional area of 8 m\({}^{2}\) than for a cross-sectional area of 5 m\({}^{2}\). In both cases, the influence of the two continuous input parameters is qualitatively very similar. The second observed output parameter is the mean stress in the cross-section in use phase (Figure 7c,d). The highest data density is in the construction span, with a range in values of 30 to 40 m, and in the cross-section width, with a range in values of 11 to 12.5 m at \(\rm A_{x}\) = 8 m\({}^{2}\). At \(\rm A_{x}\) = 5 m\({}^{2}\), there is a shift in the high-density data area to smaller values of construction span and cross-section width. Again, the influence of both input parameters is qualitatively very similar; there is only a slight increase in the mean stress for higher values of the cross-sectional area. Figure 7: Results of three-parametric CAE ANN models for two continuous input parameters (slenderness (**a**,**b**) or construction span (**c**,**d**)—horizontal axis, cross-section width—vertical axis) at a fixed value of the third input parameter (cross-sectional area, \(\rm A_{x}\) = 8 m\({}^{2}\) (**a**,**c**) and \(\rm A_{x}\) = 5 m\({}^{2}\) (**b**,**d**)).