Official Journal of the Japan Wood Research Society
From: Quantitative safety evaluation of ancient Chinese timber arch lounge bridges
 | Grade 1 | Grade 2 | Grade 3 | Grade 4 | Grade 5 | |||||
---|---|---|---|---|---|---|---|---|---|---|
\(\mu_{i1} (w_{i1})\) | \(\mu_{i1}\) × \(w_{i1}\) | \(\mu_{i2}\)(\(w_{i2}\)) | \(\mu_{i2}\) × \(w_{i2}\) | \(\mu_{i3}\)(\(w_{i3}\)) | \(\mu_{i3}\) × \(w_{i3}\) | \(\mu_{i4}\)(\(w_{i4}\)) | \(\mu_{i4}\) × \(w_{i4}\) | \(\mu_{i5}\)(\(w_{i5}\)) | \(\mu_{i5}\) × \(w_{i5}\) | |
A6 | ||||||||||
 c1 | − 1.00 (0.234) | − 0.234 | − 1.00 (0.218) | − 0.218 | − 0.60 (0.192) | − 0.115 | 1.00 (0.197) | 0.197 | 0.60 (0.168) | 0.101 |
 c2 | − 1.00 (0.214) | − 0.214 | − 1.00 (0.199) | − 0.199 | − 1.00 (0.235) | − 0.235 | 0.95 (0.226) | 0.215 | 1.00 (0.154) | 0.154 |
 c3 | − 1.00 (0.331) | − 0.331 | − 1.00 (0.308) | − 0.308 | − 1.00 (0.272) | − 0.272 | 0.76 (0.279) | 0.212 | 1.00 (0.238) | 0.238 |
 c4 | − 1.00 (0.080) | − 0.080 | 0.88 (0.096) | 0.084 | 1.00 (0.087) | 0.087 | − 0.88 (0.082) | − 0.072 | − 1.00 (0.126) | − 0.126 |
 c5 | − 0.20 (0.058) | − 0.012 | 1.00 (0.069) | 0.069 | 0.20 (0.063) | 0.013 | − 1.00 (0.059) | − 0.059 | − 1.00 (0.091) | − 0.091 |
 c6 | − 0.60 (0.068) | − 0.041 | 1.00 (0.085) | 0.085 | 0.60 (0.112) | 0.067 | − 1.00 (0.115) | − 0.115 | − 1.00 (0.098) | − 0.098 |
 c7 | 1.00 (0.015) | 0.015 | − 0.40 (0.025) | − 0.01 | − 1.00 (0.038) | − 0.038 | − 1.00 (0.041) | − 0.041 | − 1.00 (0.126) | − 0.126 |
 c8 | 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 |
 c9 | 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 | − 1.00 (0.000) | 0.000 |
 SUM | – | − 0.896 | – | − 0.497 | – | − 0.493 | – | 0.337 | – | 0.052 |
A7 | ||||||||||
 c1 | − 0.32 (0.056) | − 0.018 | 1.00 (0.052) | 0.052 | 0.32 (0.045) | 0.014 | − 1.00 (0.046) | − 0.046 | − 1.00 (0.037) | − 0.037 |
 c2 | − 1.00 (0.155) | − 0.155 | − 1.00 (0.144) | − 0.144 | − 1.00 (0.166) | − 0.166 | 0.93 (0.159) | 0.148 | 1.00 (0.102) | 0.102 |
 c3 | − 1.00 (0.506) | − 0.506 | − 1.00 (0.469) | − 0.469 | − 1.00 (0.406) | − 0.406 | − 0.33 (0.414) | − 0.137 | 1.00 (0.333) | 0.333 |
 c4 | − 1.00 (0.074) | − 0.074 | 0.13 (0.088) | 0.011 | 1.00 (0.079) | 0.079 | − 0.13 (0.074) | − 0.010 | − 1.00 (0.107) | − 0.107 |
 c5 | − 0.33 (0.046) | − 0.015 | 1.00 (0.055) | 0.055 | 0.33 (0.049) | 0.016 | − 1.00 (0.046) | − 0.046 | − 1.00 (0.067) | − 0.067 |
 c6 | − 1.00 (0.111) | − 0.111 | − 1.00 (0.138) | − 0.138 | − 1.00 (0.179) | − 0.179 | 0.79 (0.182) | 0.144 | 1.00 (0.146) | 0.146 |
 c7 | 1.00 (0.024) | 0.024 | 0.43 (0.041) | 0.018 | − 1.00 (0.062) | − 0.062 | − 1.00 (0.066) | − 0.066 | − 1.00 (0.191) | − 0.191 |
 c8 | 1.00 (0.020) | 0.020 | 0.20 (0.006) | 0.001 | − 1.00 (0.008) | − 0.008 | − 1.00 (0.008) | − 0.008 | − 1.00 (0.013) | − 0.013 |
 c9 | 1.00 (0.007) | 0.007 | − 0.60 (0.006) | − 0.004 | − 1.00 (0.006) | − 0.006 | − 1.00 (0.005) | − 0.005 | − 1.00 (0.004) | − 0.004 |
 SUM | – | − 0.828 | – | − 0.617 | – | − 0.717 | – | − 0.026 | – | 0.162 |