# The Basis for Reliability-Based Mechanical Properties of Structural Aluminium Alloys
## 4 Data Analysis and Discussion  
### 0.2% Proof Strength  
Statistical analysis of 0.2% proof strength (\(f_{\rm o}\)) was based on 12453 material test results covering 11 different alloys with different tempers and thicknesses. As can be seen in Table 2, the obtained data were divided into groups depending on aluminium alloy, temper, product type, and thickness ranges taken from EN 755-2 [27] and EN 485-2 [28]. For some of the data groups (shaded grey), an insufficient number of test data (<100, bolded) was collected for robust results in terms of reliability. Those results are omitted from further discussion. Results show that the mean values of \(f_{\rm o}\) are significantly higher than the nominal values prescribed in EN 755-2 [27] and EN 485-2 [28]. Furthermore, reported minimum values are higher or equal to nominal values for all the data groups except for EN AW-6063-T6. The highest scatter of the results was obtained for EN AW-5754-H111 alloy with a coefficient of variation (CofV) equal to 0.11. The lowest scatter of the results was obtained for EN AW-6063-T6 and -T66 alloys with CofV equal to 0.04. For most of the data groups, lognormal and normal distribution showed to be the best fit, with only EN AW-1005A-H24 being best suited for Weibull distribution. Partial factors for \(f_{\rm o}\) with associated 0.1% and 5% fractile values are presented in Table 3. Data groups with an insufficient number of test data (<100) are marked per Table 2 and are omitted from further discussion. \end{table}
Table 2: Statistical analysis of 0.2% proof strength. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Allowy**} & \multirow{2}{*}{**Temper**} & \multirow{2}{*}{**Product Form**} & \multirow{2}{*}{**Tickness**} & \multirow{2}{*}{**Nonial Value**} & \multirow{2}{*}{**0.1\%**} & \multirow{2}{*}{**5\%**} & \multirow{2}{*}{**Factile Value**} & \multirow{2}{*}{**Model Risk**} & \multirow{2}{*}{**Material Partial Factor**} \\  & & & & \(f\) **mm** & & & & & & \\ \hline \multirow{2}{*}{AW-1050A} & H14 & SL, PL, ST & \(\leq\)25 & 85 & 103 & 112 & 0.78 & 1.09 & 0.83 \\  & H24 & SL, PL, ST & \(\leq\)25 & 75 & 81 & 101 & 0.74 & 1.25 & 0.93 \\ \hline AW-5005 & H14 & SL, PL, ST & \(\leq\)125 & 120 & 113 & 136 & 0.88 & 1.20 & 1.06 \\ AW-5005 & H24 & SL, PL, ST & \(\leq\)125 & 110 & 122 & 134 & 0.82 & 1.10 & 0.90 \\ AW-5005 & H311 & SL, PL, ST & \(\leq\)50 & 125 & 124 & 141 & 0.89 & 1.14 & 1.01 \\ \hline \multirow{2}{*}{AW-5083} & H321 & SL, PL, ST & \(\leq\)40 & 215 & 183 & 214 & 1.00 & 1.16 & 1.16 \\ \cline{2-11}  & H11 & SL, PL, ST & \(\leq\)100 & 80 & 89 & 104 & 0.77 & 1.17 & 0.90 \\ \cline{2-11}  & H22 & SL, PL, ST & \(\leq\)40 & 130 & 115 & 139 & 0.94 & 1.21 & 1.14 \\ \cline{2-11}  & & \(\leq\)7/ PL, ST & \(\leq\)5 & 225 & 222 & 237 & 238 & 0.95 & 1.07 & 1.02 \\ \cline{2-11}  & & \(\leq\)7/ PL, ST & \(\leq\)25 & 215 & 228 & 221 & 258 & 258 & 0.83 & 1.13 & 0.94 \\ \cline{2-11}  & & \(\leq\)7/ PL, ST & \(\leq\)50 & 200 & 247 & 257 & 0.88 & 1.04 & 0.81 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)55 & 60 & 47 & 62 & 0.86 & 1.34 & 1.29 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)5 & 150 & 151 & 167 & 0.90 & 1.10 & 0.99 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)5 & 160 & 157 & 177 & 0.90 & 1.13 & 1.02 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)55 & 240 & 216 & 236 & 1.02 & 1.10 & 1.11 \\ \cline{2-11}  & & \(\leq\)7/ PL, ST & \(\leq\)100 & 110 & 116 & 137 & 0.95 & 1.18 & 1.12 \\ \cline{2-11}  & & \(\leq\)7/ PL, EP / EP & \(\leq\)10 & 170 & 185 & 199 & 0.86 & 1.07 & 0.92 \\ \cline{2-11}  & & \(\leq\)7/ PL, EP / EP & \(\leq\)100 & 200 & 208 & 221 & 0.90 & 1.07 & 0.96 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)55 & 250 & 241 & 247 & 269 & 273 & 0.93 & 1.12 & 1.04 \\ \cline{2-11}  & & \(\leq\)7/ PL, EP / & \(\leq\)55 & 240 & 265 & 285 & 0.91 & 1.08 & 0.98 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)55 & 250 & 271 & 279 & 0.92 & 1.03 & 0.94 \\ \cline{2-11}  & & \(\leq\)7/ PL & \(\leq\)510 & 200 & 218 & & 230 & 0.87 & 1.08 & 0.92 \\ \hline \hline \end{tabular}
\end{table}