BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 75 50 25 0 25 50 75 100
Torsional moment [MNm]
Max Min
Figure 3.207: P A20 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5 6
Axial force [MN]
Initial Max Min
Figure 3.208: P A20 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.209: P A20 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 3
2 1 0
Shear force longitudinal [MN]
Figure 3.210: P A20 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 15
10 5 0 5 10 15
Shear force transverse [MN]
Max Min
Figure 3.211: P A20 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 300
200 100 0 100 200 300
Bending moment roll [MNm]
Max Min
Figure 3.212: P A20 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 50
25 0 25 50 75
Bending moment pitch [MNm]
Max Min
Figure 3.213: P A20 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 40
20 0 20 40
Torsional moment [MNm]
Max Min
Figure 3.214: P A20 0deg - tower: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
20 10 0 10 20 30 40
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.215: P A20 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.15 0.10 0.05 0.00 0.05 0.10 0.15 0.20
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.216: P A20 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
10.0 7.5 5.0 2.5 0.0 2.5 5.0 7.5
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.217: P A20 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1.0 0.5 0.0 0.5 1.0
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.218: P A20 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
6 4 2 0 2 4
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.219: P A20 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 3.220: P A20 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
30 20 10 0 10 20 30 40
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.221: P A20 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.75 0.50 0.25 0.00 0.25 0.50 0.75 1.00
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.222: P A20 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
10 5 0 5
Shear force strong axis [MN]
Abutment elem 699
Figure 3.223: P A20 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
2.0 1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.224: P A20 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
20 15 10 5 0 5 10
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.225: P A20 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
15 10 5 0 5 10
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.226: P A20 0deg - bridgegirder @abutments: Torsional moment [MNm]
Note : Compressive spring force is negative
0 20 40 60 80 100
Time [s]
12 10 8 6 4 2 0 2
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.227: P A20 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100 Time [s]
0.002 0.001 0.000 0.001
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.228: P A20 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100
Time [s]
8 6 4 2 0 2 4
Resultant force [MN]
0 1 2
Figure 3.229: Mooring force
0 20 40 60 80 100
Time [s]
6 4 2 0 2 4
Change in length [m]
0 1 2
Figure 3.230: Mooring displacement
3.6.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.231: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.232: Energy [MJ]
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Displacement
0 5 10 Force 15
Figure 3.233: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.234: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100 200 300
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.235: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 140
120 100 80 60 40 20 0 20
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.236: P A30 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.237: P A30 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 60
40 20 0
Shear force strong axis [MN]
Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.238: P A30 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 3
2 1 0 1 2 3
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.239: P A30 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.240: P A30 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
20 0 20 40
Torsional moment [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.241: P A30 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.242: P A30 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 3
2 1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.243: P A30 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.244: P A30 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 400
300 200 100 0 100 200
Bending moment roll [MNm]
Max Min
Figure 3.245: P A30 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.246: P A30 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 50 0 50 100
Torsional moment [MNm]
Max Min
Figure 3.247: P A30 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.248: P A30 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 3
2 1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.249: P A30 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.250: P A30 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 200
150 100 50 0 50
Bending moment roll [MNm]
Max Min
Figure 3.251: P A30 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.252: P A30 0deg - columns top : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 50 0 50 100
Torsional moment [MNm]
Max Min
Figure 3.253: P A30 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5
Axial force [MN]
Initial Max Min
Figure 3.254: P A30 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.255: P A30 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 4
2
Shear force longitudinal [MN]
Figure 3.256: P A30 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 15
10 5 0 5 10 15
Shear force transverse [MN]
Max Min
Figure 3.257: P A30 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 300
200 100 0 100 200 300
Bending moment roll [MNm]
Max Min
Figure 3.258: P A30 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 75
50 25 0 25 50 75
Bending moment pitch [MNm]
Max Min
Figure 3.259: P A30 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 40
20 0 20
Torsional moment [MNm]
Max Min
Figure 3.260: P A30 0deg - tower: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
20 10 0 10 20
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.261: P A30 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.1 0.0 0.1 0.2 0.3
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.262: P A30 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
7.5 5.0 2.5 0.0 2.5 5.0 7.5
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.263: P A30 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1.0 0.5 0.0 0.5 1.0
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.264: P A30 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
2 1 0 1 2
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.265: P A30 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
15 10 5 0
Torsional moment [MNm]
A2 elem 52
Figure 3.266: P A30 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
20 10 0 10 20
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.267: P A30 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100 Time [s]
0.75 0.50 0.25 0.00 0.25 0.50 0.75 1.00
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.268: P A30 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
20 15 10 5 0 5 10 15
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.269: P A30 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
3 2 1 0 1 2 3
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.270: P A30 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
12.5 10.0 7.5 5.0 2.5 0.0 2.5 5.0 7.5
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.271: P A30 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.272: P A30 0deg - bridgegirder @abutments: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
12 10 8 6 4 2 0 2
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.273: P A30 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.002 0.001 0.000 0.001 0.002 0.003
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.274: P A30 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100 Time [s]
4 2 0 2 4
Resultant force [MN]
0 1 2
Figure 3.275: Mooring force
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1 2 3 4
Change in length [m]
0 1 2
Figure 3.276: Mooring displacement
3.7.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.277: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.278: Energy [MJ]
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Displacement
0 5 10 Force 15
Figure 3.279: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.280: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 400
200 0 200 400
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.281: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 140
120 100 80 60 40 20 0 20
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.282: P A38 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.283: P A38 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 60
40 20 0
Shear force strong axis [MN]
Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.284: P A38 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 2
1 0 1 2 3 4
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.285: P A38 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.286: P A38 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
30 20 10 0 10 20 30 40
Torsional moment [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.287: P A38 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.288: P A38 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 2
1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.289: P A38 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.290: P A38 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 400
300 200 100 0 100 200 300
Bending moment roll [MNm]
Max Min
Figure 3.291: P A38 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.292: P A38 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
40 20 0 20 40 60
Torsional moment [MNm]
Max Min
Figure 3.293: P A38 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.294: P A38 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 1
0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.295: P A38 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.296: P A38 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 200
150 100 50 0 50
Bending moment roll [MNm]
Max Min
Figure 3.297: P A38 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.298: P A38 0deg - columns top : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
40 20 0 20 40 60
Torsional moment [MNm]
Max Min
Figure 3.299: P A38 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5
Axial force [MN]
Initial Max Min
Figure 3.300: P A38 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.301: P A38 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 3
2 1 0
Shear force longitudinal [MN]
Figure 3.302: P A38 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 15
10 5 0 5 10 15
Shear force transverse [MN]
Max Min
Figure 3.303: P A38 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 300
200 100 0 100 200 300
Bending moment roll [MNm]
Max Min
Figure 3.304: P A38 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 40
20 0 20 40 60
Bending moment pitch [MNm]
Max Min
Figure 3.305: P A38 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 40
20 0 20 40
Torsional moment [MNm]
Max Min
Figure 3.306: P A38 0deg - tower: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
20 10 0 10 20
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.307: P A38 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.075 0.050 0.025 0.000 0.025 0.050 0.075 0.100 0.125
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.308: P A38 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
7.5 5.0 2.5 0.0 2.5 5.0 7.5
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.309: P A38 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1.00 0.75 0.50 0.25 0.00 0.25 0.50 0.75
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.310: P A38 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
2 1 0 1 2
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.311: P A38 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
10 5 0
Torsional moment [MNm]
A2 elem 52
Figure 3.312: P A38 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.313: P A38 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100 Time [s]
0.4 0.2 0.0 0.2 0.4 0.6 0.8
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.314: P A38 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15 20 25
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.315: P A38 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1 0 1 2 3 4
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.316: P A38 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
10.0 7.5 5.0 2.5 0.0 2.5 5.0 7.5
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.317: P A38 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
20 15 10 5 0 5 10 15 20
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.318: P A38 0deg - bridgegirder @abutments: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
12 10 8 6 4 2 0 2
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.319: P A38 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.002 0.001 0.000 0.001 0.002 0.003
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.320: P A38 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100 Time [s]
4 2 0 2 4
Resultant force [MN]
0 1 2
Figure 3.321: Mooring force
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1 2 3
Change in length [m]
0 1 2
Figure 3.322: Mooring displacement
3.8.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.323: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.324: Energy [MJ]
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Displacement
0 5 10 Force 15
Figure 3.325: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.326: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 400
200 0 200 400
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.327: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 125
100 75 50 25 0 25
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.328: P A39 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.329: P A39 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
20 0
Shear force strong axis [MN]
Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.330: P A39 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 2
1 0 1 2 3 4
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.331: P A39 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.332: P A39 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
30 20 10 0 10 20 30 40
Torsional moment [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.333: P A39 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.334: P A39 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 2
1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.335: P A39 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.336: P A39 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 400
300 200 100 0 100 200
Bending moment roll [MNm]
Max Min
Figure 3.337: P A39 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.338: P A39 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
40 20 0 20 40
Torsional moment [MNm]
Max Min
Figure 3.339: P A39 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 50
40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.340: P A39 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 2
1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.341: P A39 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10
Shear force transverse [MN]
Figure 3.342: P A39 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 200
150 100 50 0 50
Bending moment roll [MNm]
Max Min
Figure 3.343: P A39 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 150
125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.344: P A39 0deg - columns top : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
40 20 0 20 40 60
Torsional moment [MNm]
Max Min
Figure 3.345: P A39 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5
Axial force [MN]
Initial Max Min
Figure 3.346: P A39 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.347: P A39 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 3
2 1 0
Shear force longitudinal [MN]
Figure 3.348: P A39 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 20
10 0 10
Shear force transverse [MN]
Max Min
Figure 3.349: P A39 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 300
200 100 0 100 200 300 400
Bending moment roll [MNm]
Max Min
Figure 3.350: P A39 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 50
0 50 100
Bending moment pitch [MNm]
Max Min
Figure 3.351: P A39 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 60
40 20 0 20 40
Torsional moment [MNm]
Max Min
Figure 3.352: P A39 0deg - tower: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
30 20 10 0 10 20
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.353: P A39 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.10 0.05 0.00 0.05 0.10 0.15
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.354: P A39 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
10 5 0 5 10
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.355: P A39 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1.00 0.75 0.50 0.25 0.00 0.25 0.50 0.75
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.356: P A39 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
3 2 1 0 1 2 3
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.357: P A39 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
6 4 2 0 2
Torsional moment [MNm]
A2 elem 52
Figure 3.358: P A39 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.359: P A39 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100 Time [s]
0.8 0.6 0.4 0.2 0.0 0.2 0.4 0.6 0.8
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.360: P A39 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
20 10 0 10 20 30
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.361: P A39 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
2 1 0 1 2 3 4
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.362: P A39 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
15 10 5 0 5 10
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.363: P A39 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
20 15 10 5 0 5 10
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.364: P A39 0deg - bridgegirder @abutments: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
17.5 15.0 12.5 10.0 7.5 5.0 2.5 0.0 2.5
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.365: P A39 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.002 0.001 0.000 0.001 0.002 0.003
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.366: P A39 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100 Time [s]
2 1 0 1 2
Resultant force [MN]
0 1 2
Figure 3.367: Mooring force
0 20 40 60 80 100
Time [s]
2 1 0 1 2
Change in length [m]
0 1 2
Figure 3.368: Mooring displacement
3.9.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.369: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 20 40 60 80 100 120 140 160
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.370: Energy [MJ]
