<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This article aims to describe an automatic calculation algorithm developed for the analysis of reinforced concrete and / or prestressed concrete cross sections. The sectional analysis consists in the generation of two characteristic curves: the bending moment - curvature (<italic>M-1/r</italic>) and the axial force - bending moment (<italic>N-M</italic>), the calculation approach and the implementation of the algorithm being briefly described by the mathematical equations used. To verify the calculation algorithm, the results were compared with those obtained from experimental tests in the laboratory but also with numerical simulations using commercial computational software based on the finite element method (FEM). The algorithm was written in the MATLAB programming language. The results obtained with the developed algorithm show conservative results when compared to the experimental ones. Moreover, the bending moment resistance for prestressed concrete columns using bonded tendons is better estimated with at least 10% when compared with the one obtained with a fiber based cross section nonlinear analyses.</p>
</abstract>

This article aims to describe an automatic calculation algorithm developed for the analysis of reinforced concrete and / or prestressed concrete cross sections. The sectional analysis consists in the generation of two characteristic curves: the bending moment - curvature (M-1/r) and the axial force - bending moment (N-M), the calculation approach and the implementation of the algorithm being briefly described by the mathematical equations used. To verify the calculation algorithm, the results were compared with those obtained from experimental tests in the laboratory but also with numerical simulations using commercial computational software based on the finite element method (FEM). The algorithm was written in the MATLAB programming language. The results obtained with the developed algorithm show conservative results when compared to the experimental ones. Moreover, the bending moment resistance for prestressed concrete columns using bonded tendons is better estimated with at least 10% when compared with the one obtained with a fiber based cross section nonlinear analyses.

An Automated Algorithm for the Sectional Analysis of Reinforced and Prestressed Concrete Columns

Faculty of Civil Engineering, Department of Structures

Journal of Applied Engineering Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This article aims to describe an automatic calculation algorithm developed for the analysis of reinforced concrete and / or prestressed concrete cross...

An Automated Algorithm for the Sectional Analysis of Reinforced and Prestressed Concrete Columns

Published Online: May 19, 2022

Page range: 61 - 70

Received: Feb 19, 2022

Accepted: Mar 13, 2022

DOI: https://doi.org/10.2478/jaes-2022-0010

Keywords
bending moment – curvature, axial force – bending moment interaction curve, effective flexural stiffness, prestressed concrete cross-section, design algorithm, MATLAB

© 2022 B. Kovacs et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

An Automated Algorithm for the Sectional Analysis of Reinforced and Prestressed Concrete Columns

Published Online: May 19, 2022

Page range: 61 - 70

Received: Feb 19, 2022

Accepted: Mar 13, 2022

DOI: https://doi.org/10.2478/jaes-2022-0010

Keywordsbending moment – curvature, axial force – bending moment interaction curve, effective flexural stiffness, prestressed concrete cross-section, design algorithm, MATLAB

© 2022 B. Kovacs et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
bending moment – curvature, axial force – bending moment interaction curve, effective flexural stiffness, prestressed concrete cross-section, design algorithm, MATLAB