O artykule
Kategoria artykułu: Original Study
Data publikacji: 06 lis 2022
Zakres stron: 296 - 316
Otrzymano: 28 gru 2021
Przyjęty: 11 sie 2022
DOI: https://doi.org/10.2478/sgem-2022-0021
Słowa kluczowe
© 2022 Wojciech Lorenc et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1

Figure 2
![Continuous shear connectors [13]: a) Perfobond, b) kombi, and c) composite dowels using puzzle shapes that have been tested in the context of [7] project and d) additional shapes of shear connectors studied by different researchers [44].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_002.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=bd70922bcc9481137246fac51f82bc2b91c4e60122f72efbd35df8426295a997&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 3

Figure 4

Figure 5
![Shear connection for the viaduct in Pöcking [50] with puzzle-shaped dowels.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_005.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=aeef04c9824ddb9851e087424fdd00797bfeec455d4fee4cf76f46436965c0f0&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 6
![Composite girders of the viaduct in Pöcking [50] with puzzle-shaped dowels.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_006.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=0f4eef706dce1072a551bc4f10d202aa80e0fd86197805a6f4e5424c15a62bc4&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 7
![Steel part (“external reinforcement”) of the girders for the pedestrian bridge in Przemyśl, Poland (picture from the proposal of the PreCo-Beam project [7]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_007.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=92e0e8f579f19e5574a9bdba4689ae240a2eb7a081cb94b120fe2b816108df26&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 8
![Steel dowels (SA shape according to [7]) used in the girders for the pedestrian bridge in Przemyśl, Poland (picture from the proposal of the PreCo-Beam project [7]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_008.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=f7758a337a7ee365ffe2884e15b7b57eb5f3b0291be813946e809a52f2e9943e&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 9
![Fin-shaped dowel [30].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_009.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=326070630846e7a5cacf3ea81040e09bf0c1235d9efda4372201c5fb8e9c50c4&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 10
![Modification of the SA shape (elimination of sharp notch) [7].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_010.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=49c54da7b424c9576885d2b955b985daccd85c825697a0a0ca2d57e176784383&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 11
![Modified SA shape (without the sharp notch) used in the Vigaun Bridge [7].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_011.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=7347c50d168c3e4cc213e1997277df4f3bf5f2208778cc5546662b4dec765ee2&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 12
![Illustration of the FE study of the push-out test [13].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_012.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=bdb2040d9edc6359bee0b51219e8df560361027c6333245a21c7692d4f17c041&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 13
![Assumptions for the 1D1 model used for the purposes of [7].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_013.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=1f46ee9ad5a3b648d5b126e6e7ff2e3be0740fed49a2a762aa6ac415a6e663ef&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 14

Figure 15
![The 1D1 model is one of the first models prepared for the purposes of the PreCo-Beam project [7]. The displacement layout of the model with a maximum value (red) of 3 mm results in force displacement for particular material curves according to Fig. 14.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_015.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=c80ecd10d679d271a5b860ea39f4741966ffa59771a0e7e7d2b23c0dc28de191&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 16
![Shear failure mechanism of concrete dowel by Seidl [30] (last two stages of drawing from the final report [7]: III – the concrete wedge penetrates the concrete dowel and IV – the fully developed shear interfaces and mobilized the reinforcement bar).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_016.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=e89e8ef5a7fee391ed5e037ebe7c040b8fb2bdef24101959bb42f125504caadf&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 17
![Comparison of the numerical results for the model according to Fig. 12 with the experimental results of the push-out tests according to [51,30].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_017.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=ee28a7eeb0123c0010febf926ddf27f03700cd954bfb410c7c0c0b898b4aa189&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 18
![Steel shapes studied by SETRA at early stages of project [7] presenting yielding of plane models (reduced stress layouts): a) fin shape, b) early version of puzzle shape, c) one of the shapes that has been studied but was never used for testing.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_018.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=12329b8ed18e4b6f65b598d213b358e305d8d7af8ec017962454fc0b83cc6f0e&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 19
![Plastic deformations of steel dowels in the region of the sharp notch in the SA shape (push-out specimen [30]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_019.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=60b372da02bf87499b0ed73c9c2cd5177e2ec56c508a37bb2a5f1ce8c2d58976&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 20
![Numerical model of the so-called “crestbond” connector [10] studied for purposes of [7]: a) the geometry of solid model using ¼ symmetry, b) the net of finite elements used in the model for nonlinear analysis.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_020.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=057ac39e8474b9f33a77b15a506185c324ccb8d206c891355c160885d98a2506&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 21
![Topology of the shapes of steel dowels considered for the purposes of [7].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_021.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=b7cf0348c3441807929631b820c99f613425380e8cc000c877b15a83cec1d5a2&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 22
![1D1 models (geometry of the concrete part, steel part, and reduced stress layout, providing a general view of the yielded steel part) studied for the purposes of [7]: a) PZ shape (also called SP), b) SA shape, and c) SV shape.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_022.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=fd41cafc230b6da77a672bd765add6f069f2750bfecc583dcd6a94038762ea4d&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 23
![Results of 1D1 models (PZ, SA, and SN shapes) for particular specifications of the FE model: force–displacement curve, material curve for concrete TcCd according to Fig. 14 and isotropic hardening for steel [1]; time of 1 s for the explicit procedure [1] and approximately 0.01 m size of the finite elements (solid elements, reduced integration) [1].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_023.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=3aea3fa52db92e122c4257f886bbebdc78ea8f0704ed5e6153e23fe4de7c59af&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 24

Figure 25

Figure 26
![Results of shape optimization presenting the force per unit length versus shape ratio (1D1 model, linear concrete material and linear steel material; RI represents reduced integration in finite elements [1]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_026.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=d97c214f9cfe76aa52e2de734c01acb1d4b4e4e6f2432fb2b5a60b649a0628d4&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 27
![Results of tests for different sizes of dowel [5] (later [13,31]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_027.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=a26d466b04922c27b404961307149f998dc0694bdab19ff2ac609773bc909c6f&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 28
![Effect of the size of steel dowels: illustration of ductility δ defined by the angle and height of the dowel [5] (later [13,31]).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_028.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=99ccbb8d2b39c6d72925fb7dd05b507f9ea890cdcf5b5cf581220c78ddf0dc58&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 29

Figure 30
![Results of the optimization of the CL shape versus the SN shape, presenting the force per unit length versus shape ratio (1D1 model, linear concrete material and linear steel material; RI represents reduced integration in finite elements [1] and C1 and C2 represent different contact interactions).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_030.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=0bbcc848b36dac604b31ed25f39cac10947a275c19dcac414f541b16afcc6bc9&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 31
![General view of the CL shape tested in the PreCo-Beam project [7] with a height of 100 mm and spacing between dowels equal to 300 mm (specific nomenclature used for composite dowels is given).](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_031.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=4208a7dd0d82d64af8df2b4b46a1dedff6b3e20cbe34ef5d377d01d77a442905&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 32

Figure 33

Figure 34

Figure 35

Figure 36

Figure 37
![First railway bridge with composite dowel shear connection: a) cross section; b) fabrication of a clothoidal-shaped dowel cutting line substituting the cutting line presented in Fig. 29a; c) basic reinforcement forming composite dowels; and d) a prefabricated composite beam girder lifted by a crane [6].](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/64737a0a4e662f30ba53f8b8/j_sgem-2022-0021_fig_037.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=AKIA6AP2G7AKOUXAVR44%2F20250920%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250920T091613Z&X-Amz-Expires=3600&X-Amz-Signature=2ce4210094bfc6f1dc417cd727bfe3c67e80df586347e7bb2df9711e3c80ebeb&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)