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Concept development, floating bridge E39 Bjørnafjorden

Appendix I – Enclosure 1

K12_05 bridge fatigue report

(2)

May 21, 2019

1

(3)

K12_05_bridge_fatigue May 21, 2019

Contents

1 S-N curves 6

2 Section types 6

3 Stress point description 7

4 Stress coefficients 7

5 Results Wind sea 8

5.1 Design fatigue life . . . 8

5.2 Nominal fatigue damage . . . 8

5.3 Results Support A3 - Pt A . . . 9

5.3.1 Env. state distribution (weighted) . . . 9

5.3.2 Stress range histogram . . . 10

5.4 Results Transition near A3 - Pt A . . . 11

5.4.1 Env. state distribution (weighted) . . . 11

5.4.2 Stress range histogram . . . 12

5.5 Results Midspan A3-A4 - Pt A . . . 13

5.5.1 Env. state distribution (weighted) . . . 13

5.5.2 Stress range histogram . . . 14

5.6 Results Support A35 - Pt B . . . 15

5.6.1 Env. state distribution (weighted) . . . 15

5.6.2 Stress range histogram . . . 16

5.7 Results Transition near A35 - Pt D . . . 17

5.7.1 Env. state distribution (weighted) . . . 17

5.7.2 Stress range histogram . . . 18

5.8 Results Midspan A38-A39 - Pt D . . . 19

5.8.1 Env. state distribution (weighted) . . . 19

5.8.2 Stress range histogram . . . 20

5.9 Results Support A40 - Pt A . . . 21

5.9.1 Env. state distribution (weighted) . . . 21

5.9.2 Stress range histogram . . . 22

5.10 Results Transition near A40 - Pt A . . . 23

5.10.1 Env. state distribution (weighted) . . . 23

5.10.2 Stress range histogram . . . 24

5.11 Results Midspan A40-A41 - Pt B . . . 25

5.11.1 Env. state distribution (weighted) . . . 25

5.11.2 Stress range histogram . . . 26

6 Results Swell 27 6.1 Design fatigue life . . . 27

6.2 Nominal fatigue damage . . . 27

6.3 Results Support A3 - Pt A . . . 28

6.3.1 Env. state distribution (weighted) . . . 28

6.3.2 Stress range histogram . . . 29

6.4 Results Transition near A3 - Pt A . . . 30

6.4.1 Env. state distribution (weighted) . . . 30

6.4.2 Stress range histogram . . . 31

6.5 Results Midspan A3-A4 - Pt A . . . 32

6.5.1 Env. state distribution (weighted) . . . 32

6.5.2 Stress range histogram . . . 33

6.6 Results Support A35 - Pt B . . . 34

6.6.1 Env. state distribution (weighted) . . . 34

6.6.2 Stress range histogram . . . 35

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6.7 Results Transition near A35 - Pt D . . . 36

6.7.1 Env. state distribution (weighted) . . . 36

6.7.2 Stress range histogram . . . 37

6.8 Results Midspan A38-A39 - Pt D . . . 38

6.8.1 Env. state distribution (weighted) . . . 38

6.8.2 Stress range histogram . . . 39

6.9 Results Support A40 - Pt A . . . 40

6.9.1 Env. state distribution (weighted) . . . 40

6.9.2 Stress range histogram . . . 41

6.10 Results Transition near A40 - Pt A . . . 42

6.10.1 Env. state distribution (weighted) . . . 42

6.10.2 Stress range histogram . . . 43

6.11 Results Midspan A40-A41 - Pt B . . . 44

6.11.1 Env. state distribution (weighted) . . . 44

6.11.2 Stress range histogram . . . 45

7 Results Wind 46 7.1 Design fatigue life . . . 46

7.2 Nominal fatigue damage . . . 46

7.3 Results Support A3 - Pt A . . . 47

7.3.1 Env. state distribution (weighted) . . . 47

7.3.2 Stress range histogram . . . 48

7.4 Results Transition near A3 - Pt A . . . 49

7.4.1 Env. state distribution (weighted) . . . 49

7.4.2 Stress range histogram . . . 50

7.5 Results Midspan A3-A4 - Pt A . . . 51

7.5.1 Env. state distribution (weighted) . . . 51

7.5.2 Stress range histogram . . . 52

7.6 Results Support A35 - Pt B . . . 53

7.6.1 Env. state distribution (weighted) . . . 53

7.6.2 Stress range histogram . . . 54

7.7 Results Transition near A35 - Pt D . . . 55

7.7.1 Env. state distribution (weighted) . . . 55

7.7.2 Stress range histogram . . . 56

7.8 Results Midspan A38-A39 - Pt D . . . 57

7.8.1 Env. state distribution (weighted) . . . 57

7.8.2 Stress range histogram . . . 58

7.9 Results Support A40 - Pt A . . . 59

7.9.1 Env. state distribution (weighted) . . . 59

7.9.2 Stress range histogram . . . 60

7.10 Results Transition near A40 - Pt A . . . 61

7.10.1 Env. state distribution (weighted) . . . 61

7.10.2 Stress range histogram . . . 62

7.11 Results Midspan A40-A41 - Pt B . . . 63

7.11.1 Env. state distribution (weighted) . . . 63

7.11.2 Stress range histogram . . . 64

8 Results Environmental 65 8.1 Design fatigue life . . . 65

8.2 Nominal fatigue damage . . . 65

8.3 Results Support A3 - Pt A . . . 66

8.3.1 Stress range histogram . . . 66

8.4 Results Transition near A3 - Pt A . . . 67

8.4.1 Stress range histogram . . . 67

8.5 Results Midspan A3-A4 - Pt A . . . 68

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K12_05_bridge_fatigue May 21, 2019

8.5.1 Stress range histogram . . . 68

8.6 Results Support A35 - Pt B . . . 69

8.6.1 Stress range histogram . . . 69

8.7 Results Transition near A35 - Pt D . . . 70

8.7.1 Stress range histogram . . . 70

8.8 Results Midspan A38-A39 - Pt D . . . 71

8.8.1 Stress range histogram . . . 71

8.9 Results Support A40 - Pt A . . . 72

8.9.1 Stress range histogram . . . 72

8.10 Results Transition near A40 - Pt A . . . 73

8.10.1 Stress range histogram . . . 73

8.11 Results Midspan A40-A41 - Pt B . . . 74

8.11.1 Stress range histogram . . . 74

9 Results Traffic 75 9.1 Design fatigue life . . . 75

9.2 Nominal fatigue damage . . . 75

9.3 Results Support A3 - Pt A . . . 76

9.3.1 Stress range histogram . . . 76

9.4 Results Transition near A3 - Pt A . . . 77

9.4.1 Stress range histogram . . . 77

9.5 Results Midspan A3-A4 - Pt A . . . 78

9.5.1 Stress range histogram . . . 78

9.6 Results Support A35 - Pt B . . . 79

9.6.1 Stress range histogram . . . 79

9.7 Results Transition near A35 - Pt D . . . 80

9.7.1 Stress range histogram . . . 80

9.8 Results Midspan A38-A39 - Pt D . . . 81

9.8.1 Stress range histogram . . . 81

9.9 Results Support A40 - Pt A . . . 82

9.9.1 Stress range histogram . . . 82

9.10 Results Transition near A40 - Pt A . . . 83

9.10.1 Stress range histogram . . . 83

9.11 Results Midspan A40-A41 - Pt B . . . 84

9.11.1 Stress range histogram . . . 84

10 Results Environmental + Traffic 85 10.1 Design fatigue life . . . 85

10.2 Nominal fatigue damage . . . 85

10.3 Results Support A3 - Pt A . . . 86

10.3.1 Stress range histogram . . . 86

10.4 Results Transition near A3 - Pt A . . . 87

10.4.1 Stress range histogram . . . 87

10.5 Results Midspan A3-A4 - Pt A . . . 88

10.5.1 Stress range histogram . . . 88

10.6 Results Support A35 - Pt B . . . 89

10.6.1 Stress range histogram . . . 89

10.7 Results Transition near A35 - Pt D . . . 90

10.7.1 Stress range histogram . . . 90

10.8 Results Midspan A38-A39 - Pt D . . . 91

10.8.1 Stress range histogram . . . 91

10.9 Results Support A40 - Pt A . . . 92

10.9.1 Stress range histogram . . . 92

10.10Results Transition near A40 - Pt A . . . 93

10.10.1 Stress range histogram . . . 93

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10.11Results Midspan A40-A41 - Pt B . . . 94 10.11.1 Stress range histogram . . . 94

11 Results Tide 95

11.1 Design fatigue life . . . 95 11.2 Nominal fatigue damage . . . 95

12 Results Environmental + Traffic + Tide 96

12.1 Design fatigue life . . . 96 12.2 Nominal fatigue damage . . . 96

Page 5 of 96

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K12_05_bridge_fatigue May 21, 2019

1 S-N curves

104 105 106 107 108 109 1010

N [cycles]

101 102 103

[MPa]

S-N curves

D

2 Section types

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10.015.0

20.0 25.030.0 35.040.0 45.050.0 55.060.0 65.0

elevation [m]

Kxx_H2 Kxx_B3 C1Kxx_H1 K12_F1_03 Kxx_B1 Kxx_B5 Kxx_B4 Kxx_B2 K12_S1_01

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3 Stress point description

Description Stress point

Pt A Lower flange

Pt B Upper flange

Pt C Upper flange

Pt D Lower flange

4 Stress coefficients

A W_strong W_weak

Section type Stress point

C1 Pt A 1.3800 13.426121 -1.455744

Pt B 1.3800 7.950541 2.425011

Pt C 1.3800 -7.934068 2.698637

Pt D 1.3800 -13.379211 -1.455744

K12_F1_03 Pt A 1.2720 10.631638 -1.215525

Pt B 1.2720 6.289493 1.805970

Pt C 1.2720 -6.274616 1.953045

Pt D 1.2720 -10.589197 -1.215525

K12_S1_01 Pt A 1.8829 15.265004 -1.948019

Pt B 1.8829 9.023776 2.189127

Pt C 1.8829 -8.998449 2.339308

Pt D 1.8829 -15.192667 -1.948019

Kxx_B1 Pt A 2.0900 17.100000 -2.760000

Pt B 2.0900 11.900000 3.390000

Pt C 2.0900 -11.900000 3.390000

Pt D 2.0900 -17.100000 -2.760000

Kxx_B2 Pt A 2.2800 18.900000 -3.160000

Pt B 2.2800 14.800000 3.680000

Pt C 2.2800 -14.800000 3.680000

Pt D 2.2800 -18.900000 -3.160000

Kxx_B3 Pt A 2.8000 24.400000 -4.240000

Pt B 2.8000 19.400000 4.570000

Pt C 2.8000 -19.400000 4.570000

Pt D 2.8000 -24.400000 -4.240000

Kxx_B4 Pt A 3.3400 28.200000 -5.240000

Pt B 3.3400 24.800000 5.590000

Pt C 3.3400 -24.800000 5.590000

Pt D 3.3400 -28.200000 -5.240000

Kxx_B5 Pt A 3.4800 35.600000 -5.580000

Pt B 3.4800 25.700000 5.930000

Pt C 3.4800 -25.700000 5.930000

Pt D 3.4800 -35.600000 -5.980000

Kxx_H1 Pt A 1.3464 12.304714 -1.333814

Pt B 1.3464 7.253353 2.150705

Pt C 1.3464 -7.205300 2.368921

Pt D 1.3464 -12.167060 -1.333814

Kxx_H2 Pt A 1.7533 15.926345 -1.872038

Pt B 1.7533 9.381756 2.736505

Pt C 1.7533 -9.321024 2.995901

Pt D 1.7533 -15.752113 -1.872038

Page 7 of 96

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K12_05_bridge_fatigue May 21, 2019

5 Results Wind sea

5.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 102

103 104 105 106

Fatigue life [years]

Pt A Pt B Pt C Pt D

5.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 7

10 6 10 5 10 4 10 3

Fatigue damage

Pt A Pt B Pt C Pt D

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5.3 Results Support A3 - Pt A

5.3.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.05 0.10 0.15

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.05 0.10 0.15

damage

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K12_05_bridge_fatigue May 21, 2019

5.3.2 Stress range histogram

0 25 50 75 100 125 150 175

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.4 Results Transition near A3 - Pt A

5.4.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.05 0.10 0.15

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.05 0.10 0.15

damage

Page 11 of 96

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K12_05_bridge_fatigue May 21, 2019

5.4.2 Stress range histogram

0 50 100 150 200 250

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.5 Results Midspan A3-A4 - Pt A

5.5.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.05 0.10 0.15 0.20

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.05 0.10 0.15 0.20

damage

Page 13 of 96

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K12_05_bridge_fatigue May 21, 2019

5.5.2 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 14 of 96

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5.6 Results Support A35 - Pt B

5.6.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.01 0.02 0.03 0.04 0.05

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04

damage

Page 15 of 96

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K12_05_bridge_fatigue May 21, 2019

5.6.2 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.7 Results Transition near A35 - Pt D

5.7.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.02 0.04 0.06

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04 0.06

damage

Page 17 of 96

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K12_05_bridge_fatigue May 21, 2019

5.7.2 Stress range histogram

0 25 50 75 100 125 150 175 200

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.8 Results Midspan A38-A39 - Pt D

5.8.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.02 0.04 0.06

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04 0.06

damage

Page 19 of 96

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K12_05_bridge_fatigue May 21, 2019

5.8.2 Stress range histogram

0 20 40 60 80 100 120 140

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.9 Results Support A40 - Pt A

5.9.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.02 0.04 0.06

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04 0.06

damage

Page 21 of 96

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K12_05_bridge_fatigue May 21, 2019

5.9.2 Stress range histogram

0 20 40 60 80 100

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 22 of 96

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5.10 Results Transition near A40 - Pt A

5.10.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.02 0.04 0.06

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04 0.06

damage

Page 23 of 96

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K12_05_bridge_fatigue May 21, 2019

5.10.2 Stress range histogram

0 25 50 75 100 125 150 175 200

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

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5.11 Results Midspan A40-A41 - Pt B

5.11.1 Env. state distribution (weighted)

0 100 200 300

dir

0.5 1.0 1.5

hs

2 3 4 5

tp 0 100 200 300

dir

0.00 0.02 0.04 0.06

damage 0.5 1.0 1.5

hs

2 3 4 5

tp 0.00 0.02 0.04 0.06

damage

Page 25 of 96

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K12_05_bridge_fatigue May 21, 2019

5.11.2 Stress range histogram

0 20 40 60 80 100 120 140

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 26 of 96

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6 Results Swell

6.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 104

105 106 107 108

Fatigue life [years]

Pt A Pt B Pt C Pt D

6.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 8

10 7 10 6 10 5

Fatigue damage

Pt A Pt B Pt C Pt D

Page 27 of 96

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K12_05_bridge_fatigue May 21, 2019

6.3 Results Support A3 - Pt A

6.3.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.05 0.10 0.15

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 0.05damage0.10 0.15

Page 28 of 96

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6.3.2 Stress range histogram

0 5 10 15 20 25 30

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

Page 29 of 96

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K12_05_bridge_fatigue May 21, 2019

6.4 Results Transition near A3 - Pt A

6.4.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.05 0.10 0.15

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 0.05 damage0.10 0.15

Page 30 of 96

(32)

6.4.2 Stress range histogram

0 10 20 30 40 50

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

Page 31 of 96

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K12_05_bridge_fatigue May 21, 2019

6.5 Results Midspan A3-A4 - Pt A

6.5.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.05 0.10 0.15

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 0.05 damage0.10 0.15

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6.5.2 Stress range histogram

0 10 20 30 40

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

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K12_05_bridge_fatigue May 21, 2019

6.6 Results Support A35 - Pt B

6.6.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.02 0.04 0.06 0.08

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.000 0.025 0.050 0.075

damage

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6.6.2 Stress range histogram

0 5 10 15 20 25 30 35 40

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

Page 35 of 96

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K12_05_bridge_fatigue May 21, 2019

6.7 Results Transition near A35 - Pt D

6.7.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.000 0.025 0.050 0.075 0.100

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 damage0.05 0.10

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6.7.2 Stress range histogram

0 10 20 30 40

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

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K12_05_bridge_fatigue May 21, 2019

6.8 Results Midspan A38-A39 - Pt D

6.8.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.02 0.04 0.06

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 0.02 damage0.04 0.06

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6.8.2 Stress range histogram

0 5 10 15 20

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

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K12_05_bridge_fatigue May 21, 2019

6.9 Results Support A40 - Pt A

6.9.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.000 0.025 0.050 0.075 0.100 0.125

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 damage0.05 0.10

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6.9.2 Stress range histogram

0 5 10 15 20 25 30

[MPa]

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

Page 41 of 96

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K12_05_bridge_fatigue May 21, 2019

6.10 Results Transition near A40 - Pt A

6.10.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.000 0.025 0.050 0.075 0.100 0.125

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 damage0.05 0.10

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6.10.2 Stress range histogram

0 10 20 30 40

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

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(45)

K12_05_bridge_fatigue May 21, 2019

6.11 Results Midspan A40-A41 - Pt B

6.11.1 Env. state distribution (weighted)

300 310 320 330

dir

0.05 0.10 0.15 0.20

hs

10 15 20

tp 300 310 320 330

dir

0.00 0.05 0.10 0.15

damage 0.05 0.10 0.15 0.20

hs

10 15 20

tp 0.00 0.05 damage0.10 0.15

Page 44 of 96

(46)

6.11.2 Stress range histogram

0 10 20 30 40 50

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

N year

Page 45 of 96

(47)

K12_05_bridge_fatigue May 21, 2019

7 Results Wind

7.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 104

105 106 107

Fatigue life [years]

Pt A Pt B Pt C Pt D

7.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 8

10 7 10 6 10 5

Fatigue damage

Pt A Pt B Pt C Pt D

Page 46 of 96

(48)

7.3 Results Support A3 - Pt A

7.3.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.00 0.05 0.10 0.15 0.20

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15 0.20

Page 47 of 96

(49)

K12_05_bridge_fatigue May 21, 2019

7.3.2 Stress range histogram

0 10 20 30 40 50

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 48 of 96

(50)

7.4 Results Transition near A3 - Pt A

7.4.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15

Page 49 of 96

(51)

K12_05_bridge_fatigue May 21, 2019

7.4.2 Stress range histogram

0 20 40 60 80 100

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 50 of 96

(52)

7.5 Results Midspan A3-A4 - Pt A

7.5.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15

Page 51 of 96

(53)

K12_05_bridge_fatigue May 21, 2019

7.5.2 Stress range histogram

0 10 20 30 40 50 60 70 80

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 52 of 96

(54)

7.6 Results Support A35 - Pt B

7.6.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15

Page 53 of 96

(55)

K12_05_bridge_fatigue May 21, 2019

7.6.2 Stress range histogram

0 10 20 30 40 50 60

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 54 of 96

(56)

7.7 Results Transition near A35 - Pt D

7.7.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15

Page 55 of 96

(57)

K12_05_bridge_fatigue May 21, 2019

7.7.2 Stress range histogram

0 10 20 30 40 50 60 70 80

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 56 of 96

(58)

7.8 Results Midspan A38-A39 - Pt D

7.8.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15

Page 57 of 96

(59)

K12_05_bridge_fatigue May 21, 2019

7.8.2 Stress range histogram

0 10 20 30 40

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 58 of 96

(60)

7.9 Results Support A40 - Pt A

7.9.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.000 0.025 0.050 0.075 0.100 0.125 0.150 0.175 0.200

damage 5 10 15 20

windspeed 0.00 0.05 damage0.10 0.15 0.20

Page 59 of 96

(61)

K12_05_bridge_fatigue May 21, 2019

7.9.2 Stress range histogram

0 10 20 30 40 50 60

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 60 of 96

(62)

7.10 Results Transition near A40 - Pt A

7.10.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14

damage 5 10 15 20

windspeed 0.000 0.025 0.050 0.075 0.100 0.125 0.150

damage

Page 61 of 96

(63)

K12_05_bridge_fatigue May 21, 2019

7.10.2 Stress range histogram

0 20 40 60 80 100

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 62 of 96

(64)

7.11 Results Midspan A40-A41 - Pt B

7.11.1 Env. state distribution (weighted)

0 50 100 150 200 250 300

dir

2.5 5.0 7.5 10.0 12.5 15.0 17.5 20.0 22.5

windspeed 0 50 100 150 200 250 300

dir

0.00 0.02 0.04 0.06 0.08 0.10

damage 5 10 15 20

windspeed 0.00 0.02 0.04 damage0.06 0.08 0.10

Page 63 of 96

(65)

K12_05_bridge_fatigue May 21, 2019

7.11.2 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 64 of 96

(66)

8 Results Environmental

8.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 102

103 104 105 106

Fatigue life [years]

Pt A Pt B Pt C Pt D

8.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 6

10 5 10 4 10 3

Fatigue damage

Pt A Pt B Pt C Pt D

Page 65 of 96

(67)

K12_05_bridge_fatigue May 21, 2019

8.3 Results Support A3 - Pt A

8.3.1 Stress range histogram

0 25 50 75 100 125 150 175

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 66 of 96

(68)

8.4 Results Transition near A3 - Pt A

8.4.1 Stress range histogram

0 50 100 150 200 250

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 67 of 96

(69)

K12_05_bridge_fatigue May 21, 2019

8.5 Results Midspan A3-A4 - Pt A

8.5.1 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 68 of 96

(70)

8.6 Results Support A35 - Pt B

8.6.1 Stress range histogram

0 20 40 60 80 100 120 140

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 69 of 96

(71)

K12_05_bridge_fatigue May 21, 2019

8.7 Results Transition near A35 - Pt D

8.7.1 Stress range histogram

0 50 100 150 200

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 70 of 96

(72)

8.8 Results Midspan A38-A39 - Pt D

8.8.1 Stress range histogram

0 20 40 60 80 100 120 140

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 71 of 96

(73)

K12_05_bridge_fatigue May 21, 2019

8.9 Results Support A40 - Pt A

8.9.1 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 72 of 96

(74)

8.10 Results Transition near A40 - Pt A

8.10.1 Stress range histogram

0 50 100 150 200 250

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 73 of 96

(75)

K12_05_bridge_fatigue May 21, 2019

8.11 Results Midspan A40-A41 - Pt B

8.11.1 Stress range histogram

0 25 50 75 100 125 150 175 200

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 74 of 96

(76)

9 Results Traffic

9.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 104

105 106 107

Fatigue life [years]

Pt A Pt B Pt C Pt D

9.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 7

10 6 10 5 10 4

Fatigue damage

Pt A Pt B Pt C Pt D

Page 75 of 96

(77)

K12_05_bridge_fatigue May 21, 2019

9.3 Results Support A3 - Pt A

9.3.1 Stress range histogram

0 2 4 6 8 10 12 14

[MPa]

10

3

10

4

10

5

10

6

N year

Page 76 of 96

(78)

9.4 Results Transition near A3 - Pt A

9.4.1 Stress range histogram

0 5 10 15 20 25 30 35

[MPa]

10

3

10

4

10

5

10

6

N year

Page 77 of 96

(79)

K12_05_bridge_fatigue May 21, 2019

9.5 Results Midspan A3-A4 - Pt A

9.5.1 Stress range histogram

0 5 10 15 20 25 30

[MPa]

10

3

10

4

10

5

10

6

N year

Page 78 of 96

(80)

9.6 Results Support A35 - Pt B

9.6.1 Stress range histogram

0 2 4 6 8 10

[MPa]

10

3

10

4

10

5

10

6

N year

Page 79 of 96

(81)

K12_05_bridge_fatigue May 21, 2019

9.7 Results Transition near A35 - Pt D

9.7.1 Stress range histogram

0 5 10 15 20 25 30

[MPa]

10

3

10

4

10

5

10

6

N year

Page 80 of 96

(82)

9.8 Results Midspan A38-A39 - Pt D

9.8.1 Stress range histogram

0 5 10 15 20 25 30

[MPa]

10

3

10

4

10

5

10

6

N year

Page 81 of 96

(83)

K12_05_bridge_fatigue May 21, 2019

9.9 Results Support A40 - Pt A

9.9.1 Stress range histogram

0 2 4 6 8 10 12 14

[MPa]

10

3

10

4

10

5

10

6

N year

Page 82 of 96

(84)

9.10 Results Transition near A40 - Pt A

9.10.1 Stress range histogram

0 5 10 15 20 25

[MPa]

10

3

10

4

10

5

10

6

N year

Page 83 of 96

(85)

K12_05_bridge_fatigue May 21, 2019

9.11 Results Midspan A40-A41 - Pt B

9.11.1 Stress range histogram

0 2 4 6 8 10 12

[MPa]

10

3

10

4

10

5

10

6

N year

Page 84 of 96

(86)

10 Results Environmental + Traffic

10.1 Design fatigue life

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 102

103 104 105

Fatigue life [years]

Pt A Pt B Pt C Pt D

10.2 Nominal fatigue damage

A1 A2 A4 A6 A8 A10 A12 A14 A16 A18 A20 A22 A24 A26 A28 A30 A32 A34 A36 A38 A40 10 6

10 5 10 4 10 3

Fatigue damage

Pt A Pt B Pt C Pt D

Page 85 of 96

(87)

K12_05_bridge_fatigue May 21, 2019

10.3 Results Support A3 - Pt A

10.3.1 Stress range histogram

0 25 50 75 100 125 150 175

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 86 of 96

(88)

10.4 Results Transition near A3 - Pt A

10.4.1 Stress range histogram

0 50 100 150 200 250

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 87 of 96

(89)

K12_05_bridge_fatigue May 21, 2019

10.5 Results Midspan A3-A4 - Pt A

10.5.1 Stress range histogram

0 20 40 60 80 100 120

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 88 of 96

(90)

10.6 Results Support A35 - Pt B

10.6.1 Stress range histogram

0 20 40 60 80 100 120 140

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 89 of 96

(91)

K12_05_bridge_fatigue May 21, 2019

10.7 Results Transition near A35 - Pt D

10.7.1 Stress range histogram

0 50 100 150 200

[MPa]

10

1

10

0

10

1

10

2

10

3

10

4

10

5

10

6

10

7

N year

Page 90 of 96

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