À propos de cet article
Catégorie d'article: Original Study
Publié en ligne: 06 nov. 2022
Pages: 296 - 316
Reçu: 28 déc. 2021
Accepté: 11 août 2022
DOI: https://doi.org/10.2478/sgem-2022-0021
Mots clés
© 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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=f0d75893533a89fd18de4675cbd76b2d17f8c5569473cca69342130768a7ac47&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=00fa53a235c5a4cdf8a1b806302163f4fb93471d32df6949f8e1ceec8fd4d90d&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=a6d1bf9886d5b4ab233b457303cd0d80300973d5fa813b5e3169a8f20418a449&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=0eb100886b84b8832d426d17324f0d89e4bdb9795a5303e841047321db5db6d2&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=dee9f192705ea5f50ceadb8685e04be05ebdb188c15af7974b6a7366f70ea6d3&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=341b06884d07f5bf5f090b495f37508dadc05ebf6a3bffa7e6edb0db00526c3c&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=fd87f68a7265c84c4eb578109dcf42be31a5709b86469fb80c721f94a64088bb&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=d4a220c56cf348e345371ae35a9f5d5fc33059da3c5ae989de1c9aa027a02d7d&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=42e030cd4d726841bb96ea32a88e1d264bbfbc4e71127bd4b3d2659f3507c62b&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=176459a55179754a595e9466eeeea66956d7c35f413359d4269587c5af019b22&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=1d27181ba7de71d89c6e9c2d4274396822b6989ebd18592fd9c49483849e3e99&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=fca323e1cd4f15b807fee8e8a14671a0c6cc7826c71e93c7155053cba058c554&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=db1f208df704957aa32385c30ff83f2113ced7853824fbae62625f0f1e6c0345&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=5e38407cf96fd69e98bb67a4f87b850ac984a8160ce0dff25bd54fb8c68e1784&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=f6debb2855f0e8960e55b036455cbf5de35703cc21f60f60671112fb90f775a2&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=de83ff2fa6d2efe266a454cbc927a82a2b8fc24f135f696f4b9f66420299083c&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=a63e7892aedb62dd43d33fbd16dc1c63eb804e7d865e000d66d0c6155637941f&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=87ab96b413f1f7a6ae3f048308b6f2ef8903b312dce7c38992ad296e82d0f25c&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=74cc2cd157fd93dc11a00518b74b7106566a512045e762b97fcae81ecb26cbbb&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=c600ddfee9e7e3fc8d23fd42b21d18a855030082c37f43f20a6f2b51f9d16e80&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=333bb1e3776cb71120648627ad4749e1d627962faa2afd08796c04412aeea56c&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=902e3ad3899f4a84e637b168893e75aa1f9ae2213feb44a7939f96c7a93be4b6&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=e7219ce10054000e77ea35c87d40b1264dc0c6594e7e96f39af36f96a99effb3&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=dc29112abd731d6f1b6b91e6d0122e10831a18b6997df3270298d9ea6a06a7e0&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%2F20250921%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20250921T043530Z&X-Amz-Expires=3600&X-Amz-Signature=0581aea70336a1ffad71f6748e88c03d7c8bd747537446dd79784d884bb15190&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)