Random shear resistance of a headed-stud connector in composite steel-concrete beam

• Autorzy: Domański Tomasz , Maślak Mariusz

Identyfikatory

DOI

10.24425/ace.2024.151901

Warianty tytułu

PL

Losowa nośność na ścinanie łącznika sworzniowego z główką w belkach zespolonych typu stal-beton

• Języki publikacji: EN

Abstrakty

EN

In the traditional, standard, computational approach, the shear resistance of a single headed-stud connector, ensuring the composite connection between a steel beam and a reinforced concrete slab resting on this beam, is determined by comparing the load capacity PRs – determined by the destruction of the steel connector itself, and the load capacity PRc – conditioned by the destruction of the concrete surrounding this connector. In a single implementation, the smaller of these both values, i.e. PR = min (PRs, PRc ), is authoritative for the designer. If, however, both combined strengths are treated as the random variables and a statistically homogeneous sample grouping potentially possible implementations of this type is taken into account, then the design resistance PR,d = [min (PRs, PRc)]d, representative for the verification of ultimate limit state for the considered connection, will be quantitatively different from the value PR,d = min (PRs,d; PRc,d) recommended for use in this regard in the standard EN 1994-1-1. In this paper a detailed algorithm for the correct specification of this value is presented in detail. The dependence of such value on the mutual relationship between the coefficients determining the statistical variability of the strength of the connector steel as well as the strength of the concrete from which the floor slab was made is also demonstrated. The proposed approach is based on the fully probabilistic design format, according to which the appropriate level of the probability of reliable work of the analyzed connection is ensured. The presented considerations are illustrated with a numerical example. On its basis, the degree of simplification of such evaluation is estimated, as well as its consequences, resulting from the use of a conventional standard model in this respect.

PL

W tradycyjnym, normowym, ujęciu obliczeniowym nośność na ścinanie pojedynczego łącznika sworzniowego z główką, zapewniającego zespolenie belki stalowej z opartą na tej belce płytą żelbetową, określana jest przez porównanie ze sobą nośności PRs – determinowanej zniszczeniem samego łącznika stalowego, oraz nośności PRc – warunkowanej zniszczeniem betonu otaczającego ten łącznik. W pojedynczej realizacji miarodajną dla projektanta jest mniejsza z tych wartości, a zatem PR = min (PRs, PRc). Jeżeli obie zestawione ze sobą wytrzymałości potraktować jako zmienne losowe i rozpatrywać statystycznie jednorodną próbę grupującą realizacje potencjalnie możliwe to obliczeniowa nośność PR,d = [min (PRs, PRc)]d, reprezentatywna dla weryfikacji stanu granicznego nośności rozpatrywanego połączenia, będzie ilościowo różna od wartości PR,d = min (PRs,d, PRc,d) zalecanej do stosowania w normie EN 1994-1-1. W niniejszej pracy pokazano szczegółowy algorytm poprawnego specyfikowania tej wartości. Wykazano jej zależność od wzajemnej relacji pomiędzy współczynnikami określającymi statystyczną zmienność wytrzymałości stali łącznika i wytrzymałości betonu, z którego wykonano płytę stropową. Zaproponowane podejście opiera się na w pełni probabilistycznym formacie obliczeń, w którym gwarantuje się odpowiednie prawdopodobieństwo niezawodnej pracy analizowanego połączenia. Rozważania zilustrowano przykładem numerycznym. Na jego podstawie oszacowano stopień uproszczenia, a także jego konsekwencje, wynikające z zastosowania w tym zakresie konwencjonalnego modelu normowego.

Słowa kluczowe

EN

design value; headed stud connector; probabilistic method; shear resistance; steel-concrete beam; composite beam

PL

łącznik sworzniowy z główką; metoda probabilistyczna; wartość obliczeniowa; wytrzymałość na ścinanie; belka zespolona; belka stalowo-betonowa

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2024
• Tom: Vol. 70, nr 4
• Strony: 425--439
• Opis fizyczny: Bibliogr. 37 poz., il.

Twórcy

autor

Domański Tomasz

• State University of Applied Sciences in Jaroslaw, Institute of Technical Engineering, Jaroslaw, Poland

• https://orcid.org/0000-0002-4142-7751

autor

Maślak Mariusz

• Cracow University of Technology, Faculty of Civil Engineering, Chair of Bridge, Metal and Timber Structures, Cracow, Poland

• https://orcid.org/0000-0003-3592-429X

Bibliografia

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