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Official Journal of the Japan Wood Research Society

Table 6 Calculation of connection numbers for A6 and A7

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