Simplified formulation to evaluate forces due to shrinkage in composite steel-concrete beams with full shear connection

  • Nacer Rahal Mustapha Stambouli University, Department of Civil Engineering, Mascara, People's Democratic Republic of Algeria; University of Sciences and Technology, Laboratory of Mechanical Structure and Construction Stability, Oran, People's Democratic Republic of Algeria https://orcid.org/0009-0002-0400-8360
  • Houda Beghdad Mustapha Stambouli University, Department of Civil Engineering, Mascara, People's Democratic Republic of Algeria https://orcid.org/0009-0001-3548-5138
  • Abdelaziz Souici Mustapha Stambouli University, Department of Civil Engineering, Mascaral; University of Sciences and Technology, Laboratory of Mechanical Structure and Construction Stability, Oran, People's Democratic Republic of Algeria https://orcid.org/0009-0004-3845-7409
  • Sara Zatir University Tahri Mohamed of Bechar, Architecture and Urban Department, Bechar, People's Democratic Republic of Algeria https://orcid.org/0000-0002-6187-3441
  • Khaled Benmahdi Mustapha Stambouli University, Department of Civil Engineering, Mascara, People's Democratic Republic of Algeria https://orcid.org/0000-0002-8244-5817
  • Halima Aouad Mustapha Stambouli University, Department of Civil Engineering, Mascara, People's Democratic Republic of Algeria https://orcid.org/0009-0004-1999-1489
Keywords: shrinkage, concrete, steel, time, simplified approach

Abstract


Introduction/purpose: It has been known for a very long time that time-dependent effects such as creep and shrinkage of concrete considerably influence the behavior of composite steel-concrete beams. It is therefore very important to take these effects into account when calculating the strength and safety of composite steel-concrete beams. To this end, many theoretical and numerical research studies have been established to control this phenomenon. Most of this research presents laborious processes and calculations requiring complex techniques. 

Methods: This model consists of combining the static equilibrium equations and the two compatibility relations, in curvature and in deformation, of the composite steel-concrete cross-section with the differential equation resulting from the creep rate theory (RCM). The idea of this work was to take this model and simplify it to avoid difficult mathematical transformations. 

Results: The results from this simplified approach are very satisfactory when compared to those given by the analytical model.

Conclusion: To overcome an excessive number of calculations and various difficulties associated with analytical or numerical methods to estimate additional stresses brought by the shrinkage of concrete in composite steel-concrete beams, a simplified analytical methodology has been proposed here while ensuring desired safety. This work has tried to simplify an existing analytical model based on the theory of linear viscoelasticity established in 2012.

References

Al-Deen, S., Ranzi, G. & Uy, B. 2015. Non-uniform shrinkage in simply-supported composite steel-concrete slabs. Steel and Composite Structures, 18(2), pp.375-394. Available at: https://doi.org/10.12989/scs.2015.18.2.375.

Aly, T., Sanjayan, J.G. & Collins, F. 2008. Effect of polypropylene fibers on shrinkage and cracking of concretes. Materials and Structures, 41(10), pp.1741-1753. Available at: https://doi.org/10.1617/s11527-008-9361-2.

Au, F.T.K., Liu, C.H. & Lee, P.K.K. 2007. Shrinkage analysis of reinforced concrete floors using shrinkage-adjusted elasticity modulus. Computers and Concrete, 4(6), pp.437-456. Available at: https://doi.org/10.12989/cac.2007.4.6.437.

Ban, H., Uy, B., Pathirana, S.W., Henderson, I., Mirza, O. & Zhu, X. 2015. Time-dependent behaviour of composite beams with blind bolts under sustained loads. Journal of Constructional Steel Research, 112, pp.196-207. Available at: https://doi.org/10.1016/j.jcsr.2015.05.004.

Beghdad, H., Tehami, M. & Rahal, N. 2017. Shrinkage Behaviour Modelling of Steel-Concrete Composite Beams with Varying Degree of Connection. Asian Journal of Civil Engineering (BHRC), 18(8), pp.1271-1285 [online]. Available at : https://ajce.bhrc.ac.ir/Volumes-Issues/agentType/View/PropertyID/9500 [Accessed: 10 September 2023].

Cao, G., Han, C., Dai, Y. & Zhang, W. 2018. Long-Term Experimental Study on Prestressed Steel–Concrete Composite Continuous Box Beams. Journal of Bridge Engineering, 23(9). Available at: https://doi.org/10.1061/(ASCE)BE.1943-5592.0001269.

-Eurocodes. 1992. Eurocode 2: Design of concrete structures - Part 1-1: General rules and rules for buildings [online]. Available at: https://eurocodes.jrc.ec.europa.eu/EN-Eurocodes/eurocode-2-design-concrete-structures [Accessed: 10 September 2023].

-Eurocodes. 2006. Designers' Guide to EN 1994-2 Eurocode 4: Design of composite steel and concrete structures Part 2, General rules and rules for bridges [online]. Available at: https://eurocodes.jrc.ec.europa.eu/publications/designers-guide-en-1994-2-eurocode-4-design-composite-steel-and-concrete-structures [Accessed: 10 September 2023].

Furtak, K. 2015. Evaluation of the influence of shrinkage strain on the fatigue strength of the connection in steel–concrete composite beams. Archives of Civil and Mechanical Engineering, 15(3), pp.767-774. Available at: https://doi.org/10.1016/j.acme.2014.12.011.

Gilbert, R.I. 1989. Time‐Dependent Analysis of Composite Steel‐Concrete Sections. Journal of Structural Engineering, 115(11), pp.2687-2705. Available at: https://doi.org/10.1061/(ASCE)0733-9445(1989)115:11(2687).

Huang, D, Wei, J., Liu, X., Du, Y. & Zhang, S. 2019a. Experimental study on influence of post-pouring joint on long-term performance of steel-concrete composite beam. Engineering Structures, 186, pp.121-130. Available at: https://doi.org/10.1016/j.engstruct.2019.02.003.

Huang, D., Wei, J., Liu, X., Xiang, P. & Zhang, S. 2019b. Experimental study on long-term performance of steel-concrete composite bridge with an assembled concrete deck. Construction and Building Materials, 214, pp.606-618. Available at: https://doi.org/10.1016/j.conbuildmat.2019.04.167.

Huang, D, Wei, J., Liu, X., Zhang, S. & Chen, T. 2018. Influence of post-pouring joint on long-term performance of steel-concrete composite beam. Steel and Composite Structures. 28(1), pp.39-49. Available at: https://doi.org/10.12989/scs.2018.28.1.039.

Jason Weiss, W., Yang, W. & Shah, S.P. 1998. Shrinkage cracking of restrained concrete slabs. Journal of Engineering Mechanics, 124(7), pp.765-774. Available at: https://doi.org/10.1061/(ASCE)0733-9399(1998)124:7(765).

Marí, A.R., Bairán, J.M. & Duarte, N. 2010. Long-term deflections in cracked reinforced concrete flexural members. Engineering Structures, 32(3), pp.829-842. Available at: https://doi.org/10.1016/j.engstruct.2009.12.009.

Nguyen, Q.-H. & Hjiaj, M. 2016. Nonlinear Time-dependent Behavior of Composite Steel-Concrete Beams. Journal of Structural Engineering, 142(5), Available at: https://doi.org/10.1061/(ASCE)ST.1943-541X.0001432.

Partov, D. & Kantchev, V. 2012. Gardner&Lockman Model (2000) and its Application in Numerical Analysis of Composite Beams. Procedia Engineering, 40, pp.357-362. Available at: https://doi.org/10.1016/j.proeng.2012.07.108.

Partov, D. & Kantchev, V. 2014. Gardner and Lockman Model in Creep Analysis of Composite Steel-Concrete Sections. Structural Journal, 111(1), pp.59-70. Available at: https://doi.org/10.14359/51686430.

Rahal, N., Tehami, M., Souici, A. & Beghdad, H. 2012. Applying of Integral Equation of Volterra for Determining the Section Forces in Composite Beam, Regarding Shrinkage of Concrete. Key Engineering Materials, 498, pp.173-186. Available at: https://doi.org/10.4028/www.scientific.net/KEM.498.173.

Ranzi, G., Leoni, G. & Zandonini, R. 2013. State of the art on the time-dependent behaviour of composite steel-concrete structures. Journal of Constructional Steel Research, 80, pp.252-263. Available at: https://doi.org/10.1016/j.jcsr.2012.08.005.

Si, X.T. & Au, F.T.K. 2011. An Efficient Method for Time-Dependent Analysis of Composite Beams. Procedia Engineering, 14, pp.1863-1870. Available at: https://doi.org/10.1016/j.proeng.2011.07.234.

Souici, A., Tehami, M., Rahal, N., Bekkouche, M.S. & Berthet, J.F. 2015. Creep effect on composite beam with perfect steel-concrete connection. International Journal of Steel Structures, 15(2), pp.433-445. Available at: https://doi.org/10.1007/s13296-015-6013-6.

Sun, G., Xue, S., Qu, X. & Zhao, Y. 2019. Experimental investigation of creep and shrinkage of reinforced concrete with influence of reinforcement ratio. Advances in concrete construction, 7(4), pp.211-218 Available at: https://doi.org/10.12989/acc.2019.7.4.211.

Tehami, M. & Ramdane, K.-E. 2009. Creep behaviour modelling of a composite steel–concrete section. Journal of Constructional Steel Research, 65(5), pp.1029-1033. Available at: https://doi.org/10.1016/j.jcsr.2009.01.001.

Published
2024/06/10
Section
Review Papers