Modified EC2's Shear Strength Equation for No Coarse Aggregate RC Beams

Daniel Christianto, Chaidir Anwar Makarim, Tavio Tavio, Indra Dharma Pratama


High-strength concrete is one of the various special concretes that have become increasingly popular in recent decades. High-strength concrete offers a higher strength-to-volume ratio than normal-strength concrete. However, the design provision is not explicitly served in most building codes. This study focuses on the shear strength of high-strength concrete and one of many factors that influence the shear strength, i.e., the longitudinal reinforcement ratio. The influence of the longitudinal reinforcement ratio was analyzed and compared with twelve high-strength reinforced concrete beams without coarse aggregate. Concretes with cylinder compressive strengths ranging from 58 to 110 MPa were used. The concrete mixes were made without coarse aggregate, with the maximum aggregate size of #30 sieve. The beam specimens were reinforced with various longitudinal reinforcement ratios and were tested until failure using a four-point bending test setup. The tests showed that the degree of influence of longitudinal reinforcement was in agreement with the Eurocode 2 (EC2) formula, but the formula overestimated the concrete's shear strength. Based on the results, a modification was then proposed to the existing formula to improve its accuracy for high-strength concrete. The modified formula significantly improves shear strength prediction accuracy compared to the existing EC2-2004 and the formulas by other researchers for specimens used in this research. Due to the limited number of specimens used in this research, future research could be done to verify the resulting modified equation and generalize it for a wider range of concrete strength and section shape.


Coarse aggregate; Eurocode 2; high-strength concrete; longitudinal reinforcement; shear strength.

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H. H. Ahmad, and Tavio, "Experimental study of cold-Bonded artificial lightweight aggregate concrete," AIP Conference Proceedings, vol. 1977, 2018.

F. D. Aryani, Tavio, I. G. P. Raka, and Puryanto, "The influence of OPC and PPC on compressive strength of ALWA concrete, MATEC Web of Conferences, vol. 195, 2018.

M. Wulandari, M. F. Sofianto, and Tavio, "Split tensile and flexural strength of concrete with artificial lightweight aggregate (ALWA) and steel-fiber," Journal of Physics: Conference Series, IOP Science, vol. 1569, no. 4, 2020.

D. Raharjo, A. Subakti, and Tavio, "Mixed concrete optimization using fly ash, silica fume and iron slag on the SCC's compressive strength," Procedia Engineering, Elsevier, vol. 54, pp. 827-839, 2013.

A. Sandjaya, Tavio, and D. Christianto, "Experimental Study of Mortar Compressive Strength with Anadara Granosa Powder as a Substitute for Partial Use of Cement," IOP Conference Series: Materials Science and Engineering, 650(1), 2019.

G. Toniolo and M. Di Prisco, Reinforced concrete design to eurocode 2. 2017.

Tavio, and B. Kusuma, "Ductility of confined reinforced concrete columns with welded reinforcement grids," Excellence in Concrete Construction through Innovation-Proceedings of the International Conference on Concrete Construction, pp. 339-344, 2009.

P. Pudjisuryadi, and Tavio, "Performance of square reinforced concrete columns externally confined by steel angle collars under combined axial and lateral load," Procedia Engineering, Elsevier, vol. 125, pp. 1043-1049, 2015.

A. Fallah Pour, T. Ozbakkaloglu, and T. Vincent, "Simplified design-oriented axial stress-strain model for FRP-confined normal- and high-strength concrete," Eng. Struct., vol. 175, no. January, pp. 501–516, 2018, doi: 10.1016/j.engstruct.2018.07.099.

W. Piasta and B. Zarzycki, "The effect of cement paste volume and w/c ratio on shrinkage strain, water absorption and compressive strength of high performance concrete," Constr. Build. Mater., vol. 140, pp. 395–402, 2017, doi: 10.1016/j.conbuildmat.2017.02.033.

A. Ravitheja, G. Pavan Kumar, and C. Madhu Anjaneyulu, "Impact on cementitious materials on high-strength concrete–A review," Mater. Today Proc., pp. 2–4, 2020, doi: 10.1016/j.matpr.2020.03.659.

D. Y. Yoo and J. M. Yang, "Effects of stirrup, steel fiber, and beam size on shear behavior of high-strength concrete beams," Cem. Concr. Compos., vol. 87, pp. 137–148, 2018, doi: 10.1016/j.cemconcomp.2017.12.010.

E. K. Z. Balanji, M. N. Sheikh, and M. N. S. Hadi, "Behaviour of high-strength concrete reinforced with different types of steel fibres," Aust. J. Struct. Eng., vol. 18, no. 4, pp. 254–261, 2017, doi: 10.1080/13287982.2017.1396871.

M. Pourbaba, A. Joghataie, and A. Mirmiran, "Shear behavior of ultra-high performance concrete," Constr. Build. Mater., vol. 183, pp. 554–564, 2018, doi: 10.1016/j.conbuildmat.2018.06.117.

H. Yin, K. Shirai, and W. Teo, "Prediction of shear capacity of UHPC–concrete composite structural members based on existing codes," J. Civ. Eng. Manag., vol. 24, no. 8, pp. 607–618, 2018, doi: 10.3846/jcem.2018.6484.

M. Pourbaba and A. Joghataie, "Determining shear capacity of ultra-high performance concrete beams by experiments and comparison with codes," Sci. Iran., vol. 26, no. 1A, pp. 273–282, 2019, doi: 10.24200/sci.2017.4264.

H. F. Campos, N. S. Klein, and J. Marques Filho, "Proposed mix design method for sustainable high-strength concrete using particle packing optimization," J. Clean. Prod., vol. 265, p. 121907, 2020, doi: 10.1016/j.jclepro.2020.121907.

Y. Chen, F. Matalkah, P. Soroushian, R. Weerasiri, and A. Balachandra, "Optimization of ultra-high performance concrete, quantification of characteristic features," Cogent Eng., vol. 6, no. 1, pp. 1–12, 2019, doi: 10.1080/23311916.2018.1558696.

J. Jiang et al., "Design of Eco-friendly Ultra-high Performance Concrete with Supplementary Cementitious Materials and Coarse Aggregate," J. Wuhan Univ. Technol. Mater. Sci. Ed., vol. 34, no. 6, pp. 1350–1359, 2019, doi: 10.1007/s11595-018-2198-4.

K. Gowdham, A. Sumathi, and K. Saravana Raja Mohan, "Study on the strength characteristics of High-strength concrete with Micro steel fibers," IOP Conf. Ser. Earth Environ. Sci., vol. 80, no. 1, 2017, doi: 10.1088/1755-1315/80/1/012010.

I. G. P. Raka, Tavio, and M. D. Astawa, "State-of-the-art report on partially-prestressed concrete earthquake-resistant building structures for highly-seismic region," Procedia Engineering, Elsevier, vol. 95, pp. 43-53, 2014.

Tavio, "Interactive mechanical model for shear strength of deep beams," Discussion, Journal of Structural Engineering, ASCE, vol. 132, no. 5, pp. 826-827, 2006.

R. Anggraini, Tavio, I. G. P. Raka, and Agustiar, "Flexural capacity of concrete beams reinforced with high-strength steel bars under monotonic loading," International Journal of GEOMATE, vol. 20, no. 77, pp. 173-180, 2021.

U. Khatulistiani, Tavio, and I. G. P. Raka, "Influence of Steel Bars for External Confinement on Compressive Strength of Concrete," International Journal of GEOMATE, vol. 20, no. 82, pp. 146-152, 2021.

American Concrete Institute, ACI 318M-19: Building Code Requirements for Concrete and Commentary. Michigan: American Cpncrete Institute, 2019.

L. Biolzi and S. Cattaneo, "Response of steel fiber reinforced high-strength concrete beams: Experiments and code predictions," Cem. Concr. Compos., vol. 77, pp. 1–13, 2017, doi: 10.1016/j.cemconcomp.2016.12.002.

Joint ASCE-ACI Committee 426, "ASCE-ACI 426.pdf," Journal of Structure Division, no. 6. 1973.

M. Kalra and G. Mehmood, "A Review paper on the Effect of different types of coarse aggregate on Concrete," IOP Conf. Ser. Mater. Sci. Eng., vol. 431, no. 8, 2018, doi: 10.1088/1757-899X/431/8/082001.

European Commitee For Standardization, Eurocode 2: Design of concrete structures. Brussels: Comité Européen de Normalisation, 2004.

J. K. Kim and Y. D. Park, "Shear strength of reinforced high-strength concrete beams without web reinforcement," Mag. Concr. Res., vol. 46, no. 166, pp. 7–16, 1994, doi: 10.1680/macr.1994.46.166.7.

T. Zsutty, "Shear Strength Prediction for Separate Catagories of Simple Beam Tests," ACI J. Proc., vol. 68, no. 2, 1971, doi: 10.14359/11300.

Z. P. B. and H.-H. Sun, "Size Effect in Diagonal Shear Failure: Influence of Aggregate Size and Stirrups," ACI Mater. J., vol. 84, no. 4, 1987, doi: 10.14359/1614.

F. Cavagnis, "Shear in reinforced concrete without transverse reinforcement: from refined experimental measurements to mechanical models," École Polytechnique Federale de ausanne, 2017.

Daniel Christianto, Chaidir Anwar Makarim, and Tavio, "Influence of Longitudinal Reinforcement Ratio on Shear Capcity of No Coarse--Aggregate Concrete", International Journal of GEOMATE, vol. 21, no. 86, pp. 122–130, Oct. 2021.

D. Christianto, Tavio, and D. Kurniadi, "Effect of steel fiber on the shear strength of reactive powder concrete," IOP Conference Series: Materials Science and Engineering, vol. 508, no. 1, 2019.

D. Christianto, C. A. Makarim, Tavio, and Y. U. Liucius, "Size effect on shear stress of concrete beam without coarse aggregate," Journal of Physics: Conference Series, IOP Science, vol. 1477, no. 5, 2020.

H. O. Shin, D. Y. Yoo, J. H. Lee, S. H. Lee, and Y. S. Yoon, "Optimized mix design for 180 MPa ultra-high-strength concrete," J. Mater. Res. Technol., vol. 8, no. 5, pp. 4182–4197, 2019, doi: 10.1016/j.jmrt.2019.07.027.

K. Jin-Keun and P. Yon-Dong, "Shear strength of reinforced high-strength concrete beam without web reinforcement," Mag. Concr. Res., vol. 46, no. 166, pp. 7–16, Mar. 1994, doi: 10.1680/macr.1994.46.166.7.



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