Flexural Response of Axially Restricted RC Beams: Numerical and Theoretical Study

Hu, Han; Lopes, Sérgio M.R.; Lopes, Adelino V.; Lou, Tiejiong

doi:10.3390/ma15176052

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…The axial equilibrium of beams is given by the following equation [ 34 ]:

where β 1 = 0.85;

and

are the compressive steel bar area and yield strength, respectively and c u is the neutral axis depth. According to Equation (11), c u is calculated by

…”

Section: Analytical Studymentioning

confidence: 99%

“…The flexural strength is determined by the following equation [ 34 ]:

where d s and

are the depths of tensile and compressive bars, respectively, and d e is the effective depth of external tendons, which is given by

where R d is a reduction coefficient due to second-order effects. According to [ 35 ], for third-point loading, the value of R d is calculated from

…”

Section: Analytical Studymentioning

confidence: 99%

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Effect of Tendon-Related Variables on the Behavior of Externally CFRP Prestressed Concrete Beams

Lou

Pang

2023

Materials

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This work assesses the flexural performance of prestressed concrete beams with external carbon fiber-reinforced polymer (CFRP) tendons, focusing on tendon-related variables. A finite element analysis (FEA) method is verified. A numerical parametric analysis of prestressed concrete beams with external CFRP tendons is carried out. Four tendon-related variables are considered, namely, the area, initial prestress, depth and elastic modulus of tendons. The analysis shows that flexural ductility decreases as the tendon area, initial prestress or elastic modulus increases but is insensitive to the tendon depth. The ultimate tendon stress increment (Δσp) is influenced by all of the four variables investigated. JGJ 92-2016 (Chinese technical specification for concrete structures prestressed with unbonded tendons) significantly underestimates Δσp and, hence, is over-conservative for the strength design of these beams. An equation is proposed for calculating Δσp, taking into account all four variables investigated. An analytical model is then developed to estimate the flexural strength (Mu) of prestressed concrete beams with external CFRP tendons. The proposed analytical model shows good agreement with FEA, i.e., the mean discrepancy for Δσp is 0.9% with a standard deviation of 11.1%; and the mean discrepancy for Mu is −1.6% with a standard deviation of 2.1%.

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“…The axial equilibrium of beams is given by the following equation [ 34 ]:

where β 1 = 0.85;

and

are the compressive steel bar area and yield strength, respectively and c u is the neutral axis depth. According to Equation (11), c u is calculated by

…”

Section: Analytical Studymentioning

confidence: 99%

“…The flexural strength is determined by the following equation [ 34 ]:

where d s and

are the depths of tensile and compressive bars, respectively, and d e is the effective depth of external tendons, which is given by

where R d is a reduction coefficient due to second-order effects. According to [ 35 ], for third-point loading, the value of R d is calculated from

…”

Section: Analytical Studymentioning

confidence: 99%

Effect of Tendon-Related Variables on the Behavior of Externally CFRP Prestressed Concrete Beams

Lou

Pang

2023

Materials

Self Cite

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On the ductility of RC beam section: A revision and up to date of conclusions

Lopes,

Lou,

Lopes

2025

Engineering Structures

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Evaluation of the stress-strain state of the RC beam with the use of DIC

Kopiika,

Klym,

Blikharskyy

et al. 2024

Production Engineering Archives

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The article presents the results of adapting the digital image correlation method for the possibility of diagnosing reinforced concrete structures. Reinforced concrete (RC) bending elements are the most widely used in construction practice, which determines the importance of reliable estimation of their stress-strain state. The purpose of this study includes reliable theoretical and experimental investigation of the strength and deformability parameters of the RC beam. The experimental study was conducted using digital image correlation and sub-micron contactless gauges. Experimental data was verified with the calculation of the stress-strain state of the RC beam according to DBN V.2.6-98:2009 and Eurocode 2 and the finite-element modelling (FEM). As a result, the values of deflections, concrete and rebar strains were obtained and presented as corresponding diagrams. The results of all the methods are within the same ranges. Also, the form and character of corresponding diagrams are very similar. The indicated deviations were within acceptable limits. It was noted that the theoretical calculation generally provides lower strain values, which is a satisfactory result, as it indicates the bearing capacity reserves provided by the current regulations. The propagation of cracks was monitored during the experiment and the measured cracks opening was compared with theoretical assumptions. Theoretical values are higher than experimental, which shows certain conservativity of valid normative regulations. The experimental and theoretical results were in good correspondence, which confirms their reliability. It was concluded, that the proposed in the study complex theoretic-experimental approach provides essential information about the strength and deformability of the structure.

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Flexural Response of Axially Restricted RC Beams: Numerical and Theoretical Study

Cited by 3 publications

References 24 publications

Effect of Tendon-Related Variables on the Behavior of Externally CFRP Prestressed Concrete Beams

Effect of Tendon-Related Variables on the Behavior of Externally CFRP Prestressed Concrete Beams

On the ductility of RC beam section: A revision and up to date of conclusions

Evaluation of the stress-strain state of the RC beam with the use of DIC

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