ORIGINAL ARTICLE
Parametric Analysis of Prestressed Concrete Beams With the Finite Element Method
 
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Faculty of Civil and Transport Engineering, Poznan University of Technology, Poland
 
 
Submission date: 2024-12-18
 
 
Final revision date: 2025-02-17
 
 
Acceptance date: 2025-02-26
 
 
Online publication date: 2025-04-18
 
 
Publication date: 2025-04-18
 
 
Corresponding author
Mieczysław Kuczma   

Faculty of Civil and Transport Engineering, Poznan University of Technology, Pl. Marii Sklodowskiej-Curie 5, 60-965 Poznań, Poznan, Poland
 
 
Civil and Environmental Engineering Reports 2025;35(2):234-257
 
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ABSTRACT
This study presents a numerical analysis of a prefabricated prestressed concrete beam subjected to a three-point bending test. The beam has a span length of 4600 mm and cross-section of 240 x 400 mm, and was prestressed with a single 7-wire strand with a diameter of 15.2 mm. In order to ensure the propriety and reliability of the numerical model of the studied beam, a parametric analysis of the influence of selected model components on the determined results was carried out. Using the finite element method (FEM) software Abaqus/CAE by Simulia, the following parameters were analyzed: a) the effect of mesh size and meshing method, b) the type and shape of elements, c) the method of transferring the prestressing force, d) the effect of passive reinforcement. To check the reliability and effectiveness of the model, the obtained numerical results were compared and contrasted with analytical solutions, assessing the sensitivity of FEM factors. The results presented in the paper demonstrate high agreement between numerical simulations and analytical calculations for the prestressed concrete beam, encompassing the deflection and stresses in both the elastic and characteristic states of inelastic ranges.
REFERENCES (36)
1.
Brandt, AM 2009. Cement based composites: Materials, mechanical properties and performance. 2nd ed. New York: Taylor & Francis.
 
2.
Mehta, PK and Monteiro, PJM 2006. Concrete, Microstructure, Properties, and Materials. New York: McGraw-Hill.
 
3.
Mosley, B, Bungey, J and Hulse, R 2009. Reinforced Concrete Design to Eurocode 2. London: Taylor & Francis.
 
4.
Ulm F-J, Jennings, H M and Pellenq, R (Eds.), 2013. Mechanics and Physics of Creep, Shrinkage, and Durability of Concrete – A Tribute to Zdeněk P. Bažant. Cambridge, Mass.: ASCE.
 
5.
Ajdukiewicz, A and Mames, J 2008. Konstrukcje z betonu sprężonego [Structures from prestressed concrete]. Kraków: Stowarzyszenie Producentów Cementu.
 
6.
Knauff, M and Niedośpiał, M 2021. Betonowe konstrukcje sprężone w budownictwie ogólnym [Prestressed concrete structures in building engineering]. Warszawa: PWN.
 
7.
Zienkiewicz, OC, Taylor, RL and Fox, DD 2014. The Finite Element Method for Solid and Structural Mechanics (Seventh Edition). Amsterdam: Butterworth-Heinemann.
 
8.
Hillerborg, A, Modéer, M and Petersson, PE 1976. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 6(6), 773-781.
 
9.
Al-Hilali, AM and Izzet, AF 2023. 3D-Abaqus modelling of prestressed concrete hunched beams with multi-openings of different shapes. Journal of Engineering 29(08), 149-170.
 
10.
Yapar, O, Basu, P K and Nordendale, N 2015. Accurate finite element modeling of pretensioned prestressed concrete beams. Engineering Structures, 101, 163-178.
 
11.
Lee, SH, Abolmaali, A, Shin, KJ and Lee, HD 2020. ABAQUS modeling for post-tensioned reinforced concrete beams. Journal of Building Engineering 30.
 
12.
Wang, Z, Chen, M and Liao, Y 2023. Analysis of Fire Resistance of Prestressed Concrete T-Beam Based on ABAQUS Numerical Simulation. Applied Sciences 13(8).
 
13.
EN 1992-1-1:2004, Eurocode 2: Design of concrete structures Part 1-1: General rules and rules for buildings.
 
14.
fib Model Code for Concrete Structures 2010. Federation Internationale du Beton. Ernst & Sohn, 2013.
 
15.
Derkowski, W and Dyba, M 2017. Behaviour of end zone of pre-tensioned concrete elements. Procedia Engineering 193, 19-26.
 
16.
Seruga, A and Jaromska, E 2012. Transmission length of tensioning force in prestressed panel elements. Technical Transactions 4-B, 75-102.
 
17.
Lubliner, J, Oliver, J, Oller, S and Onate, E 1989. A plastic-damage model for concrete. International Journal of Solids and Structures 25(3), 299-326.
 
18.
Lee, J and Fenves, GK 1998. Plastic-damage model for cyclic loading of concrete structures. Journal of Engineering Mechanics 124(8), 892-900.
 
19.
Hafezolghorani, M, Hejazi, F, bin Jaafar, MS and Adeli, H 2022. Plasticity model for partially prestressed concrete. Structures 38, 630-651.
 
20.
Jankowiak, T and Lodygowski, T 2005. Identification of parameters of concrete damage plasticity constitutive model. Foundations of civil and environmental engineering 6(1), 53-69.
 
21.
Grassl, P, Xenos D, Nyström, U, Rempling, R and Gylltoft, K 2013. CDPM2: A damage-plasticity approach to modelling the failure of concrete. International Journal of Solids and Structures 50(24), 3805–3816.
 
22.
Elharouney, O, Elkateb, M and Khalil, A 2021. Behavior of prestressed hollow core slabs strengthened with NSM CFRP strips around openings: A finite element investigation. Engineering Structures 238.
 
23.
Mercan, B, Schultz, AE and Stolarski, HK 2010. Finite element modeling of prestressed concrete spandrel beams. Engineering Structure 32(9), 2804-2813.
 
24.
Ren, W, Sneed, LH, Yang, Y and He, R 2015. Numerical simulation of prestressed precast concrete bridge deck panels using damage plasticity model. International Journal of Concrete Structures and Materials, 9(1), 45-54.
 
25.
Tuo, L, Jiang, Q and Chengqing, L 2008. Application of damaged plasticity model for concrete. Structural Engineers 24(2), 22-27.
 
26.
Garg, AK and Abolmaali, A 2009. Finite-element modeling and analysis of reinforced concrete box culverts. Journal of Transportation Engineering 135(3), 121-128.
 
27.
Abaqus/CEA User’s Manual 6.12 (http://orpheus.nchc.org.tw:208...).
 
28.
Drucker, DC and Prager, W 1952. Soil mechanics and plastic analysis or limit design. Quarterly of Applied Mathematics 10(2), 157-165.
 
29.
Szczecina, M and Winnicki, A 2015. Calibration of the CDP model parameters in Abaqus. World Congress on Advances in Structural Engineering and Mechanics (ASEM15), August 25-29, 2015, Incheon, Korea.
 
30.
Hafezolghorani, M, Hejazi, F, Vaghei, R, bin Jaafar, MS and Karimzade, K 2017. Simplified damage plasticity model for concrete. Structural Engineering International 1, 68-78.
 
31.
Hasan, Al-R and Darbaz, M 2022. Comparative assessment of commonly used concrete damage plasticity material parameters. Engineering Transactions 70(2), 157-181.
 
32.
Kuczma, M and Whiteman JR 1995. Variational inequality formulation for flow theory plasticity. International Journal of Engineering Science 33(8), 1153-1169.
 
33.
Tabrizikahou, A, Białasik, J, Borysiak, S, Fabisiak, M, Łasecka‑Plura, M, Jesionowski, T and Kuczma, M 2024. Shear strengthening of damaged reinforced concrete beams with iron‑based shape memory alloy (Fe‑SMA) strips: numerical and parametric analysis. Archives of Civil and Mechanical Engineering 24:189.
 
34.
Bílý, P and Kohoutková, A 2015. Sensitivity analysis of numerical model of prestressed concrete containment. Nuclear Engineering and Design 295, 204-214.
 
35.
Deng, L, Ghosn, M, Znidaric, A and Casas, JR 2001. Nonlinear flexural behavior of prestressed concrete girder bridges. Journal of Bridge Engineering 6(4), 276-284.
 
36.
Mezher, A, Jason, L, Folzan, G and Davenne, L 2022. Simulation of large dimensional reinforced and prestressed concrete structures using a new adaptive static condensation method including automatic mesh partitioning. Finite Elements in Analysis & Design 202, 103718.
 
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