3.35 PontoonA39 180deg 629
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
Shear force strong 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 3.1572: P A39 180deg - 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 4
3 2 1 0 1 2
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 3.1573: P A39 180deg - 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 3.1574: P A39 180deg - bridgegirder : Bending moment weak axis [MNm]
3.35 PontoonA39 180deg 630
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 3.1575: P A39 180deg - 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 3.1576: P A39 180deg - 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 3.1577: P A39 180deg - columns bottom : Shear force longitudinal [MN]
3.35 PontoonA39 180deg 631
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 30
20 10 0 10
Shear force transverse [MN]
Max Min
Figure 3.1578: P A39 180deg - 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
200 100 0 100 200 300 400
Bending moment roll [MNm]
Max Min
Figure 3.1579: P A39 180deg - 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 3.1580: P A39 180deg - columns bottom : Bending moment pitch [MNm]
3.35 PontoonA39 180deg 632
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 3.1581: P A39 180deg - 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 3.1582: P A39 180deg - 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 3.1583: P A39 180deg - columns top : Shear force longitudinal [MN]
3.35 PontoonA39 180deg 633
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 30
20 10 0 10
Shear force transverse [MN]
Max Min
Figure 3.1584: P A39 180deg - 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 50
0 50 100 150 200
Bending moment roll [MNm]
Max Min
Figure 3.1585: P A39 180deg - 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 3.1586: P A39 180deg - columns top : Bending moment pitch [MNm]
3.35 PontoonA39 180deg 634
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 3.1587: P A39 180deg - 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 3.1588: P A39 180deg - 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 3.1589: P A39 180deg - tower: Axial force [MN]
3.35 PontoonA39 180deg 635
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 1 2 3
Shear force longitudinal [MN]
Max Min
Figure 3.1590: P A39 180deg - 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 10
0 10 20
Shear force transverse [MN]
Max Min
Figure 3.1591: P A39 180deg - 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 400
300 200 100 0 100 200 300
Bending moment roll [MNm]
Max Min
Figure 3.1592: P A39 180deg - tower: Bending moment roll [MNm]
3.35 PontoonA39 180deg 636
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 3.1593: P A39 180deg - 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 3.1594: P A39 180deg - tower: Torsional moment [MNm]
3.35 PontoonA39 180deg 637
3.35.3 Time series
Note : Time series are filtered using a Saviotzky-Golay filter for increased readability of the time history plots.
Hence, maximum values that occur due to a rapid vibration are not shown in the plots. For maximum values, refer to the tabulated data.
All elements are numbered from South to North, bottom to top
0 20 40 60 80 100
Time [s]
20 10 0 10 20 30
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.1595: P A39 180deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.05 0.00 0.05 0.10 0.15
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.1596: P A39 180deg - bridgegirder @ pylon: Shear force weak axis [MN]
3.35 PontoonA39 180deg 638
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 3.1597: P A39 180deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
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 3.1598: P A39 180deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1 2 3 4
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.1599: P A39 180deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
3.35 PontoonA39 180deg 639
0 20 40 60 80 100
Time [s]
8 6 4 2 0 2 4 6 8
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 3.1600: P A39 180deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20 30
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.1601: P A39 180deg - bridgegirder @abutments: Axial force [MN]
3.35 PontoonA39 180deg 640
0 20 40 60 80 100
Time [s]
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 3.1602: P A39 180deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
30 20 10 0 10
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.1603: P A39 180deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1 2
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.1604: P A39 180deg - bridgegirder @abutments: Bending moment strong axis [GNm]
3.35 PontoonA39 180deg 641
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 3.1605: P A39 180deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15 20
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.1606: P A39 180deg - bridgegirder @abutments: Torsional moment [MNm]
3.35 PontoonA39 180deg 642
Note : Compressive spring force is negative
0 20 40 60 80 100
Time [s]
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 3.1607: P A39 180deg - 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 3.1608: P A39 180deg - bridgegirder supports in tower: Change in length [m]
3.35 PontoonA39 180deg 643
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1 2
Resultant force [MN]
0 1 2
Figure 3.1609: Mooring force
0 20 40 60 80 100
Time [s]
2 1 0 1 2
Change in length [m]
0 1 2
Figure 3.1610: Mooring displacement
3.36 PontoonA40 180deg 644
3.36 PontoonA40 180deg
3.36.1 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 3.1611: 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 3.1612: Energy [MJ]
3.36 PontoonA40 180deg 645
0 1 2 3 4 5 6
Displacement 0
10 20 30 40
Force
Figure 3.1613: 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 3.1614: 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 3.1615: Stress envelope from all force components
3.36 PontoonA40 180deg 646
3.36.2 Envelope plots
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 120
100 80 60 40 20 0
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 3.1616: P A40 180deg - 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 3.1617: P A40 180deg - bridgegirder : Shear force weak axis [MN]
3.36 PontoonA40 180deg 647
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 20 40 60
Shear force strong 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 3.1618: P A40 180deg - 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 4
3 2 1 0 1
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 3.1619: P A40 180deg - 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 3.1620: P A40 180deg - bridgegirder : Bending moment weak axis [MNm]
3.36 PontoonA40 180deg 648
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
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 3.1621: P A40 180deg - 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 3.1622: P A40 180deg - 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 3.1623: P A40 180deg - columns bottom : Shear force longitudinal [MN]
3.36 PontoonA40 180deg 649
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 10
Shear force transverse [MN]
Max Min
Figure 3.1624: P A40 180deg - 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
100 0 100 200 300 400
Bending moment roll [MNm]
Max Min
Figure 3.1625: P A40 180deg - 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
200 150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.1626: P A40 180deg - columns bottom : Bending moment pitch [MNm]
3.36 PontoonA40 180deg 650
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 3.1627: P A40 180deg - 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 3.1628: P A40 180deg - 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 3.1629: P A40 180deg - columns top : Shear force longitudinal [MN]
3.36 PontoonA40 180deg 651
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 10
Shear force transverse [MN]
Max Min
Figure 3.1630: P A40 180deg - 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 50
0 50 100 150 200
Bending moment roll [MNm]
Max Min
Figure 3.1631: P A40 180deg - 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 3.1632: P A40 180deg - columns top : Bending moment pitch [MNm]
3.36 PontoonA40 180deg 652
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 3.1633: P A40 180deg - 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 3.1634: P A40 180deg - 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 3.1635: P A40 180deg - tower: Axial force [MN]
3.36 PontoonA40 180deg 653
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 1 2 3
Shear force longitudinal [MN]
Max Min
Figure 3.1636: P A40 180deg - 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 3.1637: P A40 180deg - 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 3.1638: P A40 180deg - tower: Bending moment roll [MNm]
3.36 PontoonA40 180deg 654
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 100
50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.1639: P A40 180deg - 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 3.1640: P A40 180deg - tower: Torsional moment [MNm]
3.36 PontoonA40 180deg 655
3.36.3 Time series
Note : Time series are filtered using a Saviotzky-Golay filter for increased readability of the time history plots.
Hence, maximum values that occur due to a rapid vibration are not shown in the plots. For maximum values, refer to the tabulated data.
All elements are numbered from South to North, bottom to top
0 20 40 60 80 100
Time [s]
10.0 7.5 5.0 2.5 0.0 2.5 5.0 7.5 10.0
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.1641: P A40 180deg - 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 3.1642: P A40 180deg - bridgegirder @ pylon: Shear force weak axis [MN]
3.36 PontoonA40 180deg 656
0 20 40 60 80 100
Time [s]
6 4 2 0 2 4 6 8
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.1643: P A40 180deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
0.4 0.2 0.0 0.2
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.1644: P A40 180deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
6 4 2 0 2 4 6
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.1645: P A40 180deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
3.36 PontoonA40 180deg 657
0 20 40 60 80 100
Time [s]
2 0 2 4 6
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 3.1646: P A40 180deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
10 5 0 5 10
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.1647: P A40 180deg - bridgegirder @abutments: Axial force [MN]
3.36 PontoonA40 180deg 658
0 20 40 60 80 100
Time [s]
0.75 0.50 0.25 0.00 0.25 0.50 0.75 1.00 1.25
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.1648: P A40 180deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
40 30 20 10 0 10
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.1649: P A40 180deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
4 3 2 1 0 1
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.1650: P A40 180deg - bridgegirder @abutments: Bending moment strong axis [GNm]
3.36 PontoonA40 180deg 659
0 20 40 60 80 100
Time [s]
15 10 5 0 5
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.1651: P A40 180deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
10 0 10 20 30 40
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.1652: P A40 180deg - bridgegirder @abutments: Torsional moment [MNm]
3.36 PontoonA40 180deg 660
Note : Compressive spring force is negative
0 20 40 60 80 100
Time [s]
8 6 4 2 0 2
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.1653: P A40 180deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.0015 0.0010 0.0005 0.0000 0.0005 0.0010 0.0015
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.1654: P A40 180deg - bridgegirder supports in tower: Change in length [m]
3.36 PontoonA40 180deg 661
0 20 40 60 80 100
Time [s]
0.8 0.6 0.4 0.2 0.0 0.2 0.4
Resultant force [MN]
0 1 2
Figure 3.1655: Mooring force
0 20 40 60 80 100
Time [s]
1.0 0.8 0.6 0.4 0.2 0.0 0.2 0.4 0.6
Change in length [m]
0 1 2
Figure 3.1656: Mooring displacement
662
4 Detailed results : Ship deck house - bridge girder collision
4.1 Deck house A7-A8 0deg
4.1.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 100 200 300 400
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 4.1: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 100 200 300 400
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 4.2: Energy [MJ]
4.1 Deck house A7-A8 0deg 663
0 1 2 3 4 5
Displacement 0
10 20 30 40
Force
Figure 4.3: 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 4.4: 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 4.5: Stress envelope from all force components
4.1 Deck house A7-A8 0deg 664
4.1.2 Envelope plots
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 150
125 100 75 50 25 0 25 50
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 4.6: DH A7-A8 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
10 0 10 20
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 4.7: DH A7-A8 0deg - bridgegirder : Shear force weak axis [MN]
4.1 Deck house A7-A8 0deg 665
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 20 40 60
Shear force strong 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 4.8: DH A7-A8 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 4.9: DH A7-A8 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 0 100 200
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 4.10: DH A7-A8 0deg - bridgegirder : Bending moment weak axis [MNm]
4.1 Deck house A7-A8 0deg 666
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 100
50 0 50 100
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 4.11: DH A7-A8 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 4.12: DH A7-A8 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 6
4 2 0 2 4
Shear force longitudinal [MN]
Max Min
Figure 4.13: DH A7-A8 0deg - columns bottom : Shear force longitudinal [MN]
4.1 Deck house A7-A8 0deg 667
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 20
15 10 5 0 5 10 15
Shear force transverse [MN]
Max Min
Figure 4.14: DH A7-A8 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
400 200 0 200 400 600
Bending moment roll [MNm]
Max Min
Figure 4.15: DH A7-A8 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
200 150 100 50 0 50 100
Bending moment pitch [MNm]
Max Min
Figure 4.16: DH A7-A8 0deg - columns bottom : Bending moment pitch [MNm]
4.1 Deck house A7-A8 0deg 668
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
200 100 0 100 200
Torsional moment [MNm]
Max Min
Figure 4.17: DH A7-A8 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 4.18: DH A7-A8 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 4
2 0 2 4 6
Shear force longitudinal [MN]
Max Min
Figure 4.19: DH A7-A8 0deg - columns top : Shear force longitudinal [MN]
4.1 Deck house A7-A8 0deg 669
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 20
15 10 5 0 5 10 15
Shear force transverse [MN]
Max Min
Figure 4.20: DH A7-A8 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
150 100 50 0 50 100 150 200
Bending moment roll [MNm]
Max Min
Figure 4.21: DH A7-A8 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
150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 4.22: DH A7-A8 0deg - columns top : Bending moment pitch [MNm]
4.1 Deck house A7-A8 0deg 670
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
200 100 0 100 200
Torsional moment [MNm]
Max Min
Figure 4.23: DH A7-A8 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 4.24: DH A7-A8 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 4.25: DH A7-A8 0deg - tower: Axial force [MN]
4.1 Deck house A7-A8 0deg 671
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 0 2 4
Shear force longitudinal [MN]
Max Min
Figure 4.26: DH A7-A8 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 40
30 20 10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 4.27: DH A7-A8 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 400
200 0 200 400 600
Bending moment roll [MNm]
Max Min
Figure 4.28: DH A7-A8 0deg - tower: Bending moment roll [MNm]
4.1 Deck house A7-A8 0deg 672
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 100
50 0 50 100
Bending moment pitch [MNm]
Max Min
Figure 4.29: DH A7-A8 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 20
0 20 40 60
Torsional moment [MNm]
Max Min
Figure 4.30: DH A7-A8 0deg - tower: Torsional moment [MNm]
4.1 Deck house A7-A8 0deg 673
4.1.3 Time series
Note : Time series are filtered using a Saviotzky-Golay filter for increased readability of the time history plots.
Hence, maximum values that occur due to a rapid vibration are not shown in the plots. For maximum values, refer to the tabulated data.
All elements are numbered from South to North, bottom to top
0 20 40 60 80 100
Time [s]
40 20 0 20
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 4.31: DH A7-A8 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.4 0.2 0.0 0.2 0.4
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 4.32: DH A7-A8 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
4.1 Deck house A7-A8 0deg 674
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 4.33: DH A7-A8 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
2 1 0 1 2 3
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 4.34: DH A7-A8 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 4.35: DH A7-A8 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
4.1 Deck house A7-A8 0deg 675
0 20 40 60 80 100
Time [s]
60 40 20 0 20 40
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 4.36: DH A7-A8 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
40 20 0 20
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 4.37: DH A7-A8 0deg - bridgegirder @abutments: Axial force [MN]
4.1 Deck house A7-A8 0deg 676
0 20 40 60 80 100
Time [s]
1.25 1.00 0.75 0.50 0.25 0.00 0.25 0.50 0.75
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 4.38: DH A7-A8 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 4.39: DH A7-A8 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
3 2 1 0 1 2
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 4.40: DH A7-A8 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
4.1 Deck house A7-A8 0deg 677
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 4.41: DH A7-A8 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20 30
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 4.42: DH A7-A8 0deg - bridgegirder @abutments: Torsional moment [MNm]
4.1 Deck house A7-A8 0deg 678
Note : Compressive spring force is negative
0 20 40 60 80 100
Time [s]
25 20 15 10 5 0 5
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 4.43: DH A7-A8 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.002 0.000 0.002 0.004 0.006
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 4.44: DH A7-A8 0deg - bridgegirder supports in tower: Change in length [m]
4.1 Deck house A7-A8 0deg 679
0 20 40 60 80 100
Time [s]
7.5 5.0 2.5 0.0 2.5 5.0 7.5 10.0 12.5
Resultant force [MN]
0 1 2
Figure 4.45: Mooring force
0 20 40 60 80 100
Time [s]
6 4 2 0 2 4 6 8
Change in length [m]
0 1 2
Figure 4.46: Mooring displacement
4.2 Deck house A8-A9 0deg 680
4.2 Deck house A8-A9 0deg
4.2.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 100 200 300 400
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 4.47: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 100 200 300 400
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 4.48: Energy [MJ]
4.2 Deck house A8-A9 0deg 681
0 1 2 3 4 5
Displacement 0
10 20 30 40
Force
Figure 4.49: 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 4.50: 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 600
400 200 0 200 400 600
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 4.51: Stress envelope from all force components
4.2 Deck house A8-A9 0deg 682
4.2.2 Envelope plots
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 150
125 100 75 50 25 0 25 50
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 4.52: DH A8-A9 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 20
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 4.53: DH A8-A9 0deg - bridgegirder : Shear force weak axis [MN]
4.2 Deck house A8-A9 0deg 683
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 20 40 60
Shear force strong 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 4.54: DH A8-A9 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 4
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 4.55: DH A8-A9 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 4.56: DH A8-A9 0deg - bridgegirder : Bending moment weak axis [MNm]
4.2 Deck house A8-A9 0deg 684
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 150
100 50 0 50 100
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 4.57: DH A8-A9 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 4.58: DH A8-A9 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 4
2 0 2 4
Shear force longitudinal [MN]
Max Min
Figure 4.59: DH A8-A9 0deg - columns bottom : Shear force longitudinal [MN]
4.2 Deck house A8-A9 0deg 685
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 20
15 10 5 0 5 10 15 20
Shear force transverse [MN]
Max Min
Figure 4.60: DH A8-A9 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
200 0 200 400
Bending moment roll [MNm]
Max Min
Figure 4.61: DH A8-A9 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
200 150 100 50 0 50 100
Bending moment pitch [MNm]
Max Min
Figure 4.62: DH A8-A9 0deg - columns bottom : Bending moment pitch [MNm]
4.2 Deck house A8-A9 0deg 686
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 50 100 150 200
Torsional moment [MNm]
Max Min
Figure 4.63: DH A8-A9 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 4.64: DH A8-A9 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 4
3 2 1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 4.65: DH A8-A9 0deg - columns top : Shear force longitudinal [MN]
4.2 Deck house A8-A9 0deg 687
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 15
10 5 0 5 10 15 20
Shear force transverse [MN]
Max Min
Figure 4.66: DH A8-A9 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
100 50 0 50 100 150
Bending moment roll [MNm]
Max Min
Figure 4.67: DH A8-A9 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
150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 4.68: DH A8-A9 0deg - columns top : Bending moment pitch [MNm]
