The structural design of buildings, bridges and all other civil engineering structures heavily relies on understanding the beam element, particularly its flexural behaviour. This chapter explores both analytical and numerical approaches to predict the flexural behaviour of reinforced concrete beams. Force equilibrium and strain compatibility equations were used for the analytical approach, while ANSYS, a finite element software, was used for the numerical approach. Comprehensive insights into the analysis, from concrete and reinforcing steel material models to mesh sensitivity analysis in the numerical approach, are provided. The analytical and numerical methods used were validated with an experimental case study beam. The load–deflection curve of a reinforced concrete beam obtained from experimental, analytical and numerical approaches is presented and found to have good correlation. The chapter further provides insights into the efficiency and limitations of each method in predicting the beam behaviour. The findings of this study will guide researchers and practitioners in selecting appropriate methodologies for structural analysis problems.

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Analytical and Numerical Approaches in Predicting the Flexural Behaviour of Reinforced Concrete Beams

  • Chinyere O. Nwankwo,
  • Jeffrey Mahachi

摘要

The structural design of buildings, bridges and all other civil engineering structures heavily relies on understanding the beam element, particularly its flexural behaviour. This chapter explores both analytical and numerical approaches to predict the flexural behaviour of reinforced concrete beams. Force equilibrium and strain compatibility equations were used for the analytical approach, while ANSYS, a finite element software, was used for the numerical approach. Comprehensive insights into the analysis, from concrete and reinforcing steel material models to mesh sensitivity analysis in the numerical approach, are provided. The analytical and numerical methods used were validated with an experimental case study beam. The load–deflection curve of a reinforced concrete beam obtained from experimental, analytical and numerical approaches is presented and found to have good correlation. The chapter further provides insights into the efficiency and limitations of each method in predicting the beam behaviour. The findings of this study will guide researchers and practitioners in selecting appropriate methodologies for structural analysis problems.