Finite Element Modelling: Analysis of Reinforced Concrete Elements
Author
Bitiusca, Laurentiu-Fabian
Term
4. term
Education
Publication year
2016
Pages
80
Abstract
Denne kandidatafhandling analyserer en armeret betonbjælke med både analytiske beregninger og ikke-lineær finittelementmodellering. Tværsnit verificeres for brugs- og brudgrænsetilstande, med armering placeret i relevante zoner, så både bøjning og forskydning indgår. Den analytiske del anvender bjælleteori og designformler, herunder medregning af forskydningsarmering, for at vurdere bæreevne og betydningen af de anvendte antagelser. De numeriske undersøgelser gennemføres i kommerciel FE-software med materialemodeller baseret på spænding–tøjningsforhold: Mohr-Coulomb og Concrete Damage Plasticity (CDP). Resultaterne peger på, at modeller og formelgrundlag, der inkluderer forskydningsarmering, giver den sikreste udformning; Mohr-Coulomb kan bruges som første overslag efter kalibrering, mens CDP er bedst egnet til detaljerede analyser, stemmer bedre overens med de analytiske beregninger og kan vise revnemønstre, når nødvendige parametre er tilgængelige. Undersøgelsen omfatter enkelt- og dobbeltarmerede bjælker; detaljerede konklusioner om svigtmekanismer er ikke angivet her.
This master's thesis analyzes a reinforced concrete beam using both analytical calculations and nonlinear finite element modeling. Cross-sections are verified for serviceability and ultimate limit states, with reinforcement placed in relevant zones so that flexural and shear effects are considered. The analytical part applies beam theory and design formulae, including shear reinforcement, to assess capacity and the influence of underlying assumptions. The numerical studies are carried out in commercial FE software using stress–strain based constitutive models: Mohr–Coulomb and Concrete Damage Plasticity (CDP). Findings indicate that approaches and formulae that account for shear reinforcement provide the safest design; Mohr–Coulomb can serve as a first estimate after calibration, whereas CDP is better suited for detailed analysis, agrees more closely with the analytical results, and can display crack patterns when necessary parameters are available. The study covers singly and doubly reinforced beams; detailed conclusions on failure mechanisms are not provided here.
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