Shear Capacity of Clamped Deck Slabs Subjected to a Concentrated Load
Publication: Journal of Bridge Engineering
Volume 25, Issue 7
Abstract
Reinforced concrete (RC) deck slabs without transverse reinforcement are commonly used in bridge structures. The ability of RC slabs to distribute concentrated loads due to the pressure of wheels in a transverse direction is an important property for their verification. The main goal of this paper is to investigate the effect of the redistribution of shear forces on the load-carrying capacity of RC slabs subjected to a concentrated load. Several methods and design models for the assessment of one-way shear capacity were tested and statistically evaluated according to the results of 43 experiments carried out in the last two decades. The analyses showed that the effective shear width method provides unsafe results for higher values of the clear shear span to effective depth ratio unless the same limits are not imposed. Limiting the distance of the critical section from the inner edge of the loaded area significantly improved the accuracy of the method. The best results were obtained for the ACI 318-14 and AASHTO LRFD models in combination with a French approach when the CoV reached values of 0.091 and 0.097, respectively. A comparable degree of accuracy was provided also by a method that is based on a combination of a linear FEM analysis and Critical Shear Crack Theory with a CoV equal to 0.102.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was supported by the Slovak Research and Development Agency under Contract No. APVV-17-0204 and by the Scientific Grant Agency of the Ministry of Education, Science, Research and Sport of the Slovak Republic and the Slovak Academy of Sciences Contract No. VEGA 1/0254/19.
Notation
The following symbols are used in this paper:
- a
- distance of the load from the face of a support;
- as
- unitary area of longitudinal reinforcement;
- av
- free shear span;
- b
- width;
- bw
- effective width for shear;
- CRk,c
- empirical factor;
- cflex
- depth of the compression zone;
- d
- effective depth of the longitudinal reinforcement;
- dg,max
- maximum aggregate size;
- Ec
- Young's modulus for concrete;
- Es
- Young's modulus for steel;
- fcm
- mean value of the cylinder concrete strength (50% fractile);
- fck
- characteristic cylinder concrete strength (5% fractile);
- specified compressive strength of concrete use in design;
- fr
- modulus of rupture;
- Mcre
- moment causing flexural cracking at a section due to an externally applied load;
- Mmax
- factored bending moment at a section due to an externally applied load;
- m
- unitary bending moment;
- Vd
- shear force due to an unfactored dead load;
- Vi
- factored shear force at a section due to an externally applied load;
- VRd,c
- shear capacity without shear reinforcement;
- v
- unitary shear force;
- z
- lever arm;
- β
- factor accounting for an arching action;
- γC
- partial safety factor for concrete;
- ɛ
- longitudinal strain;
- ɛx
- longitudinal strain at the mid-depth; and
- ρ
- reinforcement ratio.
References
AASHTO. 2007. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete and commentary. ACI 318-14. Farmington Hill, MI: ACI.
Belletti, B., M. Scolari, A. Muttoni, and R. Cantone. 2015. “Shear strength evaluation of RC bridge deck slabs according to CSCT with multi–layered shell elements and PARC_CL Crack Model.” In IABSE Conf. Geneva, 1158–1165. Geneva, Switzerland: IABSE Conference Geneva.
Bentz, E. C., F. J. Vecchio, and M. P. Collins. 2006. “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J. 103 (4): 614–624.
Chauvel, D., H. Thonier, A. Coin, and N. Ile. 2007. Shear resistance of slabs not provided with shear reinforcement. CEN/TC 250/SC 02 N 726. France. Brussels: Comite Europeen de Normalisation (CEN).
CEN (European Committee for Standardization). 2004. Design of concrete structures—Part 1-1: General rules and rules for buildings. CEN EN1992-1-1. Brussels, Belgium: CEN.
FIP (International Federation of Prestressing). 2013. Model code 2010—final draft. fib Bulletin 65, vols. 1 and 2, 350 pp., fib Bulletin 66, 370 pp. London: FIP.
Graf, O. 1933. Versuche über die Widerstandsfähigkeit von Eisenbetonplatten unter konzentrierter Last nahe einem Auflager (Tests of the strengths of reinforced concrete slabs under concentrated loads near supports), 1–16. Berlin, Germany: Deutscher Ausschuss für Eisenbeton.
Kani, M. W., M. W. Huggins, and R. R. Wittkopp. 1979. Kani on shear in reinforced concrete. Toronto, ON, Canada: Dept. of Civil Engineering, Univ. of Toronto.
König, G., and J. Fischer. 1995. “Model uncertainties concerning design equations for the shear capacity of concrete members without shear reinforcement.” CEB Bull. 224: 49–100.
Kuchma, D. A., S. Wei, D. H. Sanders, A. Belarbi, and L. C. Novak. 2019. “Development of the one-way shear design provisions of ACI 318-19 for reinforced concrete.” ACI Struct. J. 116 (4): 285–295. https://doi.org/10.14359/51716739.
Lantsoght, E. O. L., C. van der Veen, and J. C. Walraven. 2013. “Shear in one-way slabs under concentrated load close to support.” ACI Struct. J. 110 (2): 275–284.
Muttoni, A., and M. Fernández Ruiz. 2008. “Shear strength of members without transverse reinforcement as function of critical shear crack width.” ACI Struct. J. 105 (2): 163–172.
Natário, F., M. Fernández Ruiz, and A. Muttoni. 2014. “Shear strength of RC slabs under concentrated loads near clamped linear supports.” Eng. Struct. 76: 10–23. https://doi.org/10.1016/j.engstruct.2014.06.036.
Regan, P. E. 1987. Shear resistance of members without shear reinforcement; proposal for CEB Model Code MC90. London: Polytechnic of Central London.
Regan, P. E., and H. Rezai-Jorabi. 1988. “Shear resistance of one-way slabs under concentrated loads.” ACI Struct. J. 85 (2): 150–157.
Reissen, K., and J. Hegger. 2013. “Experimental investigations on the shear-bearing behavior of bridge deck cantilever slabs under wheel loads.” [In German.] Beton Stahlbetonbau 108 (5): 315–324. https://doi.org/10.1002/best.201200072.
Reissen, K., and J. Hegger. 2015. “Experimental investigations on the shear capacity of RC cantilever bridge deck slabs under concentrated loads—Influences of moment-shear ratio and inclined compression zone.” In Proc., 16th European Bridge Conf. Edinburgh, Scotland: American Concrete Institute (ACI).
Richart, F. E., and R. W. Kluge. 1939. Vol. 36 (85) of Tests of reinforced concrete slabs subjected to concentrated loads: A report of an investigation. The engineering experiment station bulletin Series No. 314, 1–86. Champaign, IL: Univ. of Illinois at Urbana-Champaign.
Rombach, G., and L. Henze. 2017. “Shear capacity of concrete slabs under concentrated loads close to support.” In High Tech Concrete: Where Technology and Engineering Meet: Proc., of the 2017 Ph.D. Symp., edited by D. Hordijk, and M. Luković, 719–726. Berlin, Germany: Springer.
Rombach, G., and S. Latte. 2009. “Shear resistance of bridge decks without transverse reinforcement.” [In German.] Beton Stahlbetonbau 104 (10): 642–656. https://doi.org/10.1002/best.200900029.
Vaz Rodrigues, R., A. Muttoni, and O. Burdet. 2006. “Large scale tests on bridge slabs cantilevers subjected to traffic loads.” In Vol. 1 of Proc., 2nd fib Congress. 1–10. Naples, Italy: fib.
Vida, R., and J. Halvonik. 2018. “Tests of shear capacity of deck slabs under concentrated load.” In Proc., 12th fib Int. PhD Symp. in Civil Engineering, 773–779. Prague: Czech Technical Univ. in Prague.
Zsutty, T. 1968. “Beam shear strength prediction by analysis of existing data.” ACI J. 65 (11): 943–951.
Information & Authors
Information
Published In
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jul 16, 2019
Accepted: Dec 31, 2019
Published online: Apr 24, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 24, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.