Technical Papers
Jun 30, 2020

Flexural Response of RC Beams Failing in Shear

Publication: Practice Periodical on Structural Design and Construction
Volume 25, Issue 4

Abstract

In this paper, an analytical model to determine the flexural response of simply supported RC beams under four-point bending tests failing in flexure and shear is presented. The model is able to provide load-deflection curves, including also the shear contributions, which are determined assuming a kinematic rigid plastic model able to consider different strength contributions such as the concrete, the dowel action, and transverse reinforcement with progressive yielding. For each contribution, a physical explanation is provided to link the strength evaluation with a specific kinematic evolution for the determination of the overall response of RC beams under combined shear and flexural loads. An extensive comparison with the experimental data available in the literature is made to check the reliability of the simplified proposed model to predict also the complete flexural response of beams including postpeak resistance when shear failure is attained. The comparisons revealed good agreement between the experimental and analytical results. The proposed model can be simply used for manual calculations of the flexural response of RC beams that fail in flexure or shear.

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Data Availability Statement

No data, models, or code were generated or used during the study.

References

ACI (American Concrete Institute). 2015. Building code requirements for structural concrete. ACI 318-08. Framington Hills, MI: ACI.
Amin, A., and S. J. Foster. 2016. “Shear strength of steel fibre reinforced concrete beams with stirrups.” Eng. Struct. 111 (Mar): 323–332. https://doi.org/10.1016/j.engstruct.2015.12.026.
Arsaln, G. 2008. “Shear strength of reinforced concrete beams with stirrups.” Mater. Struct. 41 (1): 113–122.
Bazant, Z. P., and J. K. Kim. 1984. “Size effect in shear failure of longitudinally reinforced beams.” In Vol. 81 of Proc., ACI Int. Concrete Abstracts Portal, 456–468. Farmington Hills, MI: American Concrete Institute.
Campana, S., M. Fernández Ruiz, A. Anastasi, and A. Muttoni. 2013. “Analysis of shear-transfer actions on one-way RC members based on measured cracking pattern and failure kinematics.” Mag. Concr. Res. 65 (6): 386–404. https://doi.org/10.1680/macr.12.00142.
Campione, G. 2008. “Simplified flexural response of steel fiber-reinforced concrete beams.” J. Mater. Civ. Eng. 20 (4): 283–293. https://doi.org/10.1061/(ASCE)0899-1561(2008)20:4(283).
Campione, G., C. Cucchiara, and A. Monaco. 2019. “Shear design of high strength concrete beams in MRFs.” Front. Built Environ. 5: 42. https://doi.org/10.3389/fbuil.2019.00042.
Cladera, B. A. 2003. “Shear design of reinforced high-strength beams.” Ph.D. dissertation, Polytechnic Univ. of Catalonia.
Collins, M. P., and D. Mitchell. 1997. Prestressed concrete structures. Toronto: Response Publications.
CSA (Canadian Standards Association). 2004. Design of concrete structures. CAN/CSA A23.3-04. Rexdale, ON, Canada: CSA.
Cucchiara, C., L. La Mendola, and M. Papia. 2004. “Effectiveness of stirrups and steel fibres as shear reinforcement.” Cem. Concr. Compos. 26 (7): 777–786. https://doi.org/10.1016/j.cemconcomp.2003.07.001.
Desalegne, A. S., and A. S. Lubell. 2013. “Shear behaviour of concrete slabs and beams reinforced with high-performance ASTMA103 steel.” In Proc., 9th Int. Conf. on Short and Medium Span Bridges. Montreal: Canadian Society for Civil Engineering.
He, Z. Q., Z. Liu, and Z. J. Ma. 2016. “Shear deformations of RC beams under service loads.” J. Struct. Eng. 143 (1): 04016153. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001641.
Hong, S. G., and T. Ha. 2012. “Effective capacity of diagonal strut for shear strength of reinforced concrete beams without shear reinforcement.” ACI Struct. J. 109 (2): 139–148.
Hu, B., and Y. F. Wu. 2017. “Quantification of shear cracking in reinforced concrete beams.” Eng. Struct. 147 (Sep): 666–678. https://doi.org/10.1016/j.engstruct.2017.06.035.
Huang, Z., Z. Lü, S. Song, Y. Tu, T. Blanksvärd, G. Sas, and L. Elfgren. 2017. “Finite element analysis of shear deformation in reinforced concrete shear-critical beams.” Struct. Infrastruct. Eng. 14 (6): 791–806. https://doi.org/10.1080/15732479.2017.1360915.
Kunthia, M., and B. Stojadinovis. 2001. “Shear strength of reinforced concrete beams without transverse reinforcement.” ACI Struct. J. 98 (5): 648–656.
Lee, J., M. Nishiyama, S. Kono, and M. Skashita. 2015. “Diagonal tension failure of reinforced and prestressed concrete member.” ACI Struct. J. 112 (3): 300–311.
Lubell, A. S. 2018. “Deflection control of concrete beams accounting for shear deformations.” In Vol. 328 of Proc., ACI Int. Concrete Abstracts Portal, 7.1–7.18. Farmington Hills, MI: American Concrete Institute.
Marì, A., J. Bairàn, A. Cladera, E. Oller, and C. Ribas. 2015. “Shear-flexural strength mechanical model for the design and assessment of reinforced concrete beams.” Struct. Infrastruct. Eng. 11 (11): 1399–1419. https://doi.org/10.1080/15732479.2014.964735.
Mphonde, A. G., and G. C. Frantz. 1986. “Shear tests of high and low strength concrete beams without stirrups.” ACI Struct. J. 81 (4): 350–357.
Pan, Z., B. Li, and Z. Lu. 2014. “Effective shear stiffness of diagonally cracked reinforced concrete beams.” Eng. Struct. 59 (Feb): 95–103. https://doi.org/10.1016/j.engstruct.2013.10.023.
Russo, G., D. Mitri, and M. Pauletta. 2013. “Shear strength design formula for RC beams with stirrups.” Eng. Struct. 51 (Jun): 226–235. https://doi.org/10.1016/j.engstruct.2013.01.024.
Tompos, E., and R. J. Frosch. 2002. “Influence of beam size, longitudinal reinforcement, and stirrup effectiveness on concrete shear strength.” ACI Struct. J. 99 (5): 559–567.
Vecchio, F. J., and M. P. Collins. 1986. “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI Struct. J. 83 (2): 219–231.
Von Ramin, M., and A. B. Matamoros. 2006. “Shear strength of reinforced concrete members subjected to monotonic loads.” ACI Struct. J. 103 (1): 83–92.
Wang, T., J. Dai, and J. Zheng. 2015. “Multi-angle truss model for predicting the shear deformation of RC beams with low span-effective depth ratios.” Eng. Struct. 91 (May): 85–95. https://doi.org/10.1016/j.engstruct.2015.02.035.
Zararis, P. D. 2003. “Shear strength and minimum shear reinforcement of reinforced concrete slender beams.” ACI Struct. J. 100 (2): 203–214.

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Go to Practice Periodical on Structural Design and Construction
Practice Periodical on Structural Design and Construction
Volume 25Issue 4November 2020

History

Received: Dec 13, 2019
Accepted: Mar 19, 2020
Published online: Jun 30, 2020
Published in print: Nov 1, 2020
Discussion open until: Nov 30, 2020

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Authors

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Giuseppe Campione, Ph.D. [email protected]
Full Professor, Structural Engineering, Dept. of Engineering, Univ. of Palermo, Viale delle Scienze, Palermo 90128, Italy (corresponding author). Email: [email protected]
Marco Filippo Ferrotto, Ph.D. [email protected]
Postdoctoral Researcher, Dept. of Engineering, Univ. of Palermo, Viale delle Scienze, Palermo 90128, Italy. Email: [email protected]
Maurizio Papia [email protected]
Full Professor, Structural Engineering, Dept. of Engineering, Univ. of Palermo, Viale delle Scienze, Palermo 90128, Italy. Email: [email protected]

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