The new railway hybrid bridge in Dąbrowa Górnicza: innovative concept using new design method and results of load tests
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09 mar 2023
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Categoría del artículo: Original Study
Publicado en línea: 09 mar 2023
Páginas: 89 - 111
Recibido: 31 ago 2022
Aceptado: 25 nov 2022
DOI: https://doi.org/10.2478/sgem-2023-0002
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© 2023 Wojciech Lorenc et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1

Figure 2
![The idea of external reinforcement by SSF Ingenieure applied in the trough girders (both in the longitudinal and transversal directions of the slab for railway bridges) in the bridge located next to Spergau [9, 1] (picture by Guenter Seidl).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_002.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=6fc04ff324cac174ef64d6888ad3aa7c9870bb06dba3e4f0535bf4f567eef607&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 3

Figure 4
![Distribution of longitudinal shear in a combined general composite section [3].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=cec0064dba2dc7eeab713b2ba815b9d77872fdc6db24a3a85b0e84e8a16304da&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 6
![Reinforcing bars in cross section [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_006.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=9a181ae4366ff0408aca1aeba33df11b05992e58c040ea9d47800de0f311bd92&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 7
![Upper reinforcement in slab [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_007.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=323823d5b55474b49606c1cc12ae29a625c65c951df86f255f1a60c050f2d092&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 8
![Bottom reinforcement in slab [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_008.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=39223b7086f76ee7f3e05a802b128065a4ef6600b37baf3763c74d959af2e2a9&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 9
![Shear reinforcement of hybrid girders [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_009.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=0de2c4127358b3b37fc57b640940e61cb2a0e4c9536af7938ef561d97235d3bf&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 13
![The geometry of the steel T-sections above the pillar [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_013.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=a91c00ad4c14b46fdd17b929adda2604ea4fba204a57b2fdf3d0003a5ec9170d&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 16
![Reinforcing bars in the upper part of the web girders above the pillar [57].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_016.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=19b9629c90c83538efc2a17cc4f89c80783a0e7a69648fa96201e9595ebe25a8&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 19
![FEM models of the bridge structure made by external consulting [10]: a) mixed shell + beam model with shell elements standing for concrete parts and beam elements standing for structural steel parts; b) beam model using cracked steel–concrete sections.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_019.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=e077299b75c2f7254a0477f6ce4c3d316d65f51cefc70d639bbafa85127d8cda&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 21

Figure 22
![Exemplary deformation (linear analysis) of the finite element model from Fig. 19 under load 80 kN/m on the left span, applied as uniformly distributed to the slab in kPa [10].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a3e4e662f30ba53f8da/j_sgem-2023-0002_fig_022.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250919%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250919T223525Z&X-Amz-Expires=3600&X-Amz-Signature=ca2bb29c508b517ba283ca43690717b39e2d652e5808c76fdeb7b96490bf86d0&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
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Figure 31

Figure 32

Dynamic factors for Midas models, PN-EN 1991-2, and test values_
Model no. | - | M40 UCR | M40 CR | 6.4.5.2 | D1 | D2 | - | |
Maintenance | - | Standard | - | - | - | |||
Span length | LΦ | 26.85 | - | - | m | |||
Frequency | n0 | - | Hz | |||||
ϕ | 10 | - | ||||||
20 | ||||||||
30 | ||||||||
40 | ||||||||
50 | ||||||||
60 | ||||||||
70 | ||||||||
80 | ||||||||
90 | ||||||||
100 | ||||||||
110 | ||||||||
120 |
Dynamic factors for SOFiSTiK models_
Model no. | - | S00 | S10 | S20 | S30 | S40 | S50 | S60 | S70 | - | |
Maintenance | - | Standard | - | ||||||||
Span length | LΦ | 26.85 | m | ||||||||
Frequency | n0 | Hz | |||||||||
ϕ | 10 | 2.78 | - | ||||||||
20 | 5.56 | ||||||||||
30 | 8.33 | ||||||||||
40 | 11.11 | ||||||||||
50 | 13.89 | ||||||||||
60 | 16.67 | ||||||||||
70 | 19.44 | ||||||||||
80 | 22.22 | ||||||||||
90 | 25.00 | ||||||||||
100 | 27.78 | ||||||||||
110 | 30.56 | ||||||||||
120 | 33.33 | ||||||||||
Speed | Units |