The paper presents the analysis of the influence of fasteners and connections flexibility on displacements of symmetrical single-bay pitched-roof steel building, including trapezoidal cladding acting as a diaphragm. The purpose of the article was to compare numerical models with and without taking into consideration fasteners and connections flexibility in order to observe the differences in transverse stiffness of the building during modifying model from the simple one to more complex and precise. The analyses were carried out for the 3D structure. Fasteners and connections were substituted by equivalent beam finite elements. Corrugated sheets were replaced by three types of equivalent orthotropic shell models and the influence of the choice of the model on the stiffness of the building was observed. The results showed that in the analysed structure the flexibility of fasteners and connections has negligible effect on transverse displacements of the building in the case of four sides fastening of the sheeting, however in the case of two sides fastening the influence significantly increases.
W artykule porównano wybrane sposoby uwzględniania w modelowaniu numerycznym tarczowej pracy pokrycia dachowego z blachy trapezowej, możliwe do zrealizowania w programie Autodesk Robot Structural Analysis Professional 2015, w celu oceny słuszności stosowania ich do obliczeń konstrukcji nośnej współpracującej z poszyciem z blachy trapezowej. Analizy przeprowadzono dla pojedynczej przepony. Za pomocą powłokowych elementów skończonych zbudowano dwa typy modeli blachy trapezowej. Uwzględniono podatność połączeń występujących w konstrukcji, wykorzystując pomocnicze belkowe elementy skończone. Wartości podatności na ścinanie paneli uzyskane numerycznie odniesiono do wyników otrzymanych na podstawie znanych procedur analitycznych. Miarą trafności modelu poszycia był poziom zgodności ww. wartości podatności na ścinanie. Zgodnie z tym kryterium wskazano model, który poprawniej odzwierciedla współpracę pokrycia z blachy trapezowej z konstrukcją nośną.
EN
The paper presents the comparison of selected numerical models of trapezoidal cladding acting as a diaphragm which can be used in computer program called Autodesk Robot Structural Analysis Professional 2015. The aim of the analyses was to evaluate the validity of using these models in calculations of the structure including the stressed skin effect. The analyses were carried out for the cantilevered diaphragm as a part of the roof of the single storey steel building. Corrugated sheets were replaced by two types of equivalent orthotropic shell models and the influence of the choice of the model on the stiffness of the diaphragm was observed. Fasteners and connections were substituted by equivalent beam finite elements and their flexibility was included in the calculations. 230 N. Korcz The evaluation of numerical models of trapezoidal sheeting was contingent upon the degree of the agreement between numerical and analytical results of the shear flexibility of analyzed diaphragms, calculated according to [2]. In compliance with this criterion, more accurate numerical model of trapezoidal cladding acting as a diaphragm was pointed.
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