## 5 Results
### Analysis of Rope in the First Quality Class  
For the purpose of verifying process stability and capability, a steel rope of the first quality group type 30 8x26 WS IWRC 1960 B sZ was subjected to mechanical strength testing. Table 5 presents the statistical characteristics calculated for the wires of the steel rope belonging to the first quality group 30 8x26 WS IWRC 1960 B sZ. Wires No. 1 to No. 7 represent the external wires, while wires No. 8 to No. 11 constitute the internal wires. In terms of strength, as indicated by the standard deviation values, the most favorable results are observed for wires No. 1, No. 2, No. 3, No.4, No. 5, and No. 6. The target accuracy value for the first qualitative grade is 2036 MPa. Wire No. 3 exhibits the lowest standard deviation, suggesting that its strength values fall within the interval \(\langle\)2013.92; 2102.93\(\rangle\) MPa, confirming the consistent mechanical performance of the wire. Wire No. 5 demonstrates the best overall result, as it has the smallest variation range, with strength values distributed within the interval \(\langle\)2046.1; 2121.88\(\rangle\) MPa, indicating minimal variability and high-quality manufacturing. The highest variation range is observed for wire No. 7, with a standard deviation of 49.99. The variation range of 252.70 indicates a substantial difference between the maximum and minimum values, with measurements falling within the interval \(\langle\)1920.56; 2173.26\(\rangle\) MPa. Notably, the maximum value for wire No. 7 significantly exceeds the upper specific limit of 2116.8 MPa, highlighting a deviation from the expected mechanical performance. Similarly, wire No. 8 shows considerably higher variance and standard deviation values in comparison with the other wires, suggesting pronounced inconsistency in tensile strength. The variation range of 202.08 further confirms large discrepancies among the measured values for wire No. 8. From the calculated accuracy dispersion values in Table 5, it can be seen that wires No. 7, No. 8, No. 9, and No. 10 have high dispersion values, which indicates significant differences in the measured strength values of the wires. The control diagrams presented in Figure 13 reveal several values that lie outside the specified limits. Despite these deviations, the diagrams indicate that the process remains statistically controlled, thereby fulfilling the necessary prerequisite for process capability evaluation. Furthermore, the Anderson-Darling test yields a \(p\)-value of \(<\)0.051, which is very close to the critical threshold of 0.05, suggesting marginal adherence to the assumption of normality. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & **Wire 1** & **Wire 2** & **Wire 3** & **Wire 4** & **Wire 5** & **Wire 6** & **Wire 7** & **Wire 8** & **Wire 9** & **Wire 10** & **Wire 11** \\ \hline Arithmetic mean [MPa] & 2035.22 & 2035.81 & 2066.49 & 2045.12 & 2072.15 & 2033.40 & 2010.06 & 1987.16 & 2045.27 & 2022.16 & 2023.68 \\ Maximum value [MPa] & 2124.32 & 2070.09 & 2102.93 & 2111.15 & 2121.88 & 2069.04 & 2173.26 & 2113.46 & 2098.16 & 2084.26 & 2023.68 \\ Minimum value [MPa] & 1940.82 & 1947.92 & 2013.92 & 1988.08 & 2046.10 & 1930.13 & 1920.56 & 1911.38 & 1957.11 & 1950.97 \\ Variation range (V\({}_{x}\)) [MPa] & 183.50 & 122.17 & 89.01 & 123.07 & 75.78 & 138.91 & 252.70 & 202.08 & 141.05 & 133.30 \\ Standard deviation (s) [MPa] & 34.51 & 24.10 & 18.17 & 41.15 & 26.67 & 24.39 & 49.99 & 83.18 & 42.15 & 47.35 \\ Variance (s\({}^{2}\)) [MPa] & 1190.84 & 581.02 & 330.06 & 1693.62 & 711.44 & 595.08 & 2498.91 & 6919.74 & 1776.43 & 2241.95 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Statistical analysis of the strength of four wires from first-quality-class rope. Therefore, it can be concluded that the process is stable, and therefore, the application of capability index calculations is deemed appropriate. Figure 14 presents the measured strength values for the steel rope classified in the first quality class.