Official Journal of the Japan Wood Research Society
Table 7 Calculation of average connection numbers for all member assemblies
From: Quantitative safety evaluation of ancient Chinese timber arch lounge bridges
| Â | Grade 1 | Grade 2 | Grade 3 | Grade 4 | Grade 5 | |||||
|---|---|---|---|---|---|---|---|---|---|---|
\(\mu_{m1} (w_{m1})\) | \(\mu_{m1}\) × \(w_{m1}\) | \(\mu_{m2}\)(\(w_{m2}\)) | \(\mu_{m2}\) × \(w_{m2}\) | \(\mu_{m3}\)(\(w_{m3}\)) | \(\mu_{m3}\) × \(w_{m3}\) | \(\mu_{m4}\)(\(w_{m4}\)) | \(\mu_{m4}\) × \(w_{m4}\) | \(\mu_{m5}\)(\(w_{m5}\)) | \(\mu_{m5}\) × \(w_{m5}\) | |
A1 | − 0.99 (0.028) | − 0.028 | − 0.92 (0.028) | − 0.026 | − 0.75 (0.028) | − 0.021 | 0.39 (0.028) | 0.011 | 0.71 (0.028) | 0.020 |
A2 | − 1.00 (0.019) | − 0.019 | − 0.95 (0.019) | − 0.018 | − 0.80 (0.019) | − 0.016 | 0.42 (0.019) | 0.008 | 0.81 (0.019) | 0.016 |
A3 | − 1.00 (0.094) | − 0.094 | − 1.00 (0.094) | − 0.094 | − 0.98 (0.094) | − 0.093 | 0.50 (0.094) | 0.047 | 0.97 (0.094) | 0.091 |
A4 | − 1.00 (0.110) | − 0.11 | − 0.90 (0.110) | − 0.099 | − 0.49 (0.110) | − 0.054 | 0.52 (0.110) | 0.057 | 0.36 (0.110) | 0.04 |
A5 | − 0.80 (0.143) | − 0.115 | − 0.62 (0.143) | − 0.089 | − 0.41 (0.143) | − 0.059 | 0.58 (0.143) | 0.082 | 0.24 (0.143) | 0.035 |
A6 | − 0.90 (0.036) | − 0.032 | − 0.50 (0.036) | − 0.018 | − 0.49 (0.036) | − 0.018 | 0.34 (0.036) | 0.012 | 0.05 (0.036) | 0.002 |
A7 | − 0.83 (0.135) | − 0.112 | − 0.62 (0.135) | − 0.083 | − 0.72 (0.135) | − 0.097 | − 0.03 (0.135) | − 0.004 | 0.16 (0.135) | 0.022 |
A8 | − 0.95 (0.085) | − 0.081 | − 0.84 (0.085) | − 0.072 | − 0.03 (0.085) | − 0.003 | 0.72 (0.085) | 0.061 | − 0.11 (0.085) | − 0.01 |
A9 | − 0.97 (0.147) | − 0.142 | − 0.93 (0.147) | − 0.136 | − 0.63 (0.147) | − 0.092 | − 0.08 (0.147) | − 0.012 | 0.31 (0.147) | 0.046 |
A10 | − 0.95 (0.203) | − 0.193 | − 0.99 (0.203) | − 0.202 | − 0.63 (0.203) | − 0.128 | 0.12 (0.203) | 0.024 | 0.24 (0.203) | 0.048 |
SUM | – | − 0.926 | – | − 0.837 | – | − 0.580 | – | 0.287 | – | 0.310 |