Prediction of flexural fatigue life and failure probability of normal weight concrete




Concrete, Fatigue, Flexural strength, Durability, Mechanical properties


Fatigue life has to be considered in the design of many concrete structures at various stress levels and stress ratios. Many flexural fatigue test results of plain normal-weight concrete are available in the literature and almost every set of test results provides different fatigue equations. It is necessary, though, to have a common fatigue equation to predict the design fatigue life of concrete structures under flexural load with reasonable accuracy. Therefore, a database of flexural fatigue test results was created for concrete with strengths ranging from 25 to 65 MPa; this database was used to derive new fatigue equations (Wöhler fatigue equation and S-N power relationship) for predicting the flexural fatigue life of normal-weight concrete. The concept of equivalent fatigue life was introduced to obtain a fatigue equation using the same stress ratio. A probabilistic analysis was also carried out to develop flexural fatigue equations that incorporate failure probabilities.


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Deng, P.; Matsumoto, T. (2018) Determination of dominant degradation mechanisms of RC bridge deck slabs under cyclic moving loads. Int. J. Fatigue. 112, 328-340.

Paluri, Y.; Noolu, V.; Mudavath, H.; Pancharathi, R.K. (2021) Flexural fatigue behavior of steel fiber-reinforced reclaimed asphalt pavement-based concrete: an experimental study. Pract. Period. Struct. Des. Constr. 26 [1], 04020053.

Singh, S.P.; Kaushik, S.K. (2003) Fatigue strength of steel fibre reinforced concrete in flexure. Cem. Concr. Compos. 25 [7], 779-786.

Kesler, C.E. (1953) Effect of speed of testing on flexural fatigue strength of plain concrete. Highw. Res. Board Proc. 32, 251-258.

Singh, S.P.; Kaushik, S.K. (2001) Flexural fatigue analysis of steel fiber-reinforced concrete. ACI Mater. J. 98 [4], 306-312.

Oh, B.H. (1986) Fatigue analysis of plain concrete in flexure. J. Struct. Eng. 112 [2], 273-288.

Singh, S.P.; Mohammadi, Y.; Kaushik, S.K. (2005) Flexural fatigue analysis of steel fibrous concrete containing mixed fibers. ACI Mater. J. 102 [6], 438-444.

Shi, X.P.; Fwa, T.F.; Tan, S.A. (1993) Flexural fatigue strength of plain concrete. ACI Mater. J. 90 [5], 435-440.

Lee, M.K.; Barr, B.I.G. (2004) An overview of the fatigue behaviour of plain and fibre reinforced concrete. Cem. Concr. Compos. 26 [4], 299-305.

Murdock, J.W.; Kesler, C.E. (1958) Effect of range of stress on fatigue strength of plain concrete beams. ACI J. Proc. 55 [8], 221-231.

Zhang, J.; Stang, H.; Li, V.C. (1999) Fatigue life prediction of fiber reinforced concrete under flexural load. Int. J. Fatigue. 21 [10], 1033-1049.

Tepfers, R.; Kutti, T. (1979) Fatigue strength of plain, ordinary, and lightweight concrete. ACI J. Proc. 76 [5], 635-652.

Holman, J.P. (2011) Experimental methods for engineers, 8th edition. McGraw-Hill, (2011).

Mohammadi, Y.; Kaushik, S.K. (2005) Flexural fatigue-life distributions of plain and fibrous concrete at various stress levels. J. Mater. Civ. Eng. 17 [6], 650-658.

Ang, A.H.S.; Tang, W.H. (2007) Probability concepts in engineering: emphasis on applications to civil and environmental engineering, 2nd ed. John Wiley and Sons Inc., New York, (2007).

Treybig, H.J.; Smith, P.; VonQuintus, H. (1977) Overlay design and reflection cracking analysis for rigid pavements -- Vol. 1 Development of new design criteria. Austin, TX United States 78746.

Wirsching, P.H.; Yao, J.T.P. (1982) Fatigue reliability: Introduction. J Struct Div. 108 [1], 3-23.

Koltsida, I.S.; Tomor, A.K.; Booth, C.A. (2018) Probability of fatigue failure in brick masonry under compressive loading. Int. J. Fatigue. 112, 233-239.

Gumbel, E.J. (1958) Statistics of extremes. Columbia University Press, (1958).

Oh, B.H. (1991) Fatigue-life distributions of concrete for various stress levels. ACI Mater. J. 88 [2], 122-128.

Sohel, K.M.A.; Al-Jabri, K.; Zhang, M.H.; Liew, J.Y.R. (2018) Flexural fatigue behavior of ultra-lightweight cement composite and high strength lightweight aggregate concrete. Constr. Build. Mater. 173, 90-100.

Weibull, W, (1961) Fatigue testing and analysis of results. Oxford: Pergamon Press, (1961).

Correia, J.A.F.deO.; Pedrosa, B.A.S.; Raposo, P.C.; et al. (2017) Fatigue strength evaluation of resin-injected bolted connections using statistical analysis. Engineering. 3 [6], 795-805.

Kaur, G.; Singh, S.P.; Kaushik, S.K. (2016) Mean and design fatigue lives of SFRC containing cement-based materials. Mag. Concr. Res. 68 [7], 325-338.

Freudenthal, A.M.; Gumbel, E.J. (1956) Physical and statistical aspects of fatigue. Adv. Appl. Mech. 4, 117-158.

Wirsching, P.H.; Yao, J.T.P. (1970) Statistical methods in structural fatigue. J. Struct. Div. ASCE. 96 [6], 1201-1219.

Arora, S.; Singh, S.P. (2016) Analysis of flexural fatigue failure of concrete made with 100% Coarse Recycled Concrete Aggregates. Constr. Build. Mater. 102, 782-791.

Ramakrishnan, V.; Wu, G.Y.; Hosalli, G. (1989) Flexural fatigue strength, endurance limit, and impact strength of fiber reinforced concretes. Transp. Res. Rec. 1226, 17-24.

Johnston, C.D.; Zemp, R.W. (1991) Flexural fatigue performance of steel fiber reinforced concrete. Influence of fiber content, aspect ratio, and type. ACI Mater. J. 88 [4], 374-383.

ACI 215R-74. (1997) Considerations for design of concrete structures subjected to fatigue loading (Reapproved 1997). ACI Committee 215, American Concrete Institute, (1997).

Liu, F.; Zheng, W.; Li, L.; Feng, W.; Ning, G. (2013) Mechanical and fatigue performance of rubber concrete. Constr. Build. Mater. 47, 711-719.

Harwalkar, A.; Awanti, S.S. (2017) Probability analysis of flexural fatigue data of high volume fly ash concrete. Inter. Conf. Highw. Pavem. Airfield Technol. 2017. 295-307.

Tan, Y.; Zhou, C.; Zhou, J. (2020) Influence of the steel fiber content on the flexural fatigue behavior of recycled aggregate concrete. Adv. Civ. Eng. 2020, 8839271.

Zhang, B.; Phillips, D.V.; Wu, K. (1996) Effects of loading frequency and stress reversal on fatigue life of plain concrete. Mag. Concr. Res. 48 [177], 361-375.

Lee, D.Y.; Klaiber, F.W.; Coleman, J.W. (1977) Fatigue behavior of air entrained concrete. Department of Civil Engineering, Iowa State University, Ames.

Thomas, T.L. (1979) The effects of air content, water-cement ratio, and aggregate type on the flexural fatigue strength of plain concrete. (Ph.D. thesis), Iowa State University (1979).

Hanumantharayagouda; Patil, A.S. (2013) Flexural fatigue studies for SFRC under compound loading for different stress ranges. Int. J. Recent. Technol. Eng. 2 [4], 2277-3878.

Mithun, B.M.; Narasimhan, M.C.; Nitendra, P.; Ravishankar, A.U. (2015) Flexural fatigue performance of alkali activated slag concrete mixes incorporating copper slag as fine aggregate. Sel. Sci. Pap. - J. Civ. Eng. 10 [1], 7-18.



How to Cite

Sohel, K. ., Al-Hinai, M. ., Alnuaimi, A. ., Al-Shahri, M. ., & El-Gamal, S. . (2022). Prediction of flexural fatigue life and failure probability of normal weight concrete. Materiales De Construcción, 72(347), e291.



Research Articles

Funding data

Sultan Qaboos University
Grant numbers IG/ENG/CAED/18/01