Abstract
The problem of the shear strength of reinforced concrete members which are simultaneously subjected to an axial tension occurs in a number of practical cases such as continuous beams rigidly connected to columns (where tension results from the restraint of the axial variation of length due to concrete shrinkage and temperature variation), columns or shear walls and foundation piles in beam-column or shear wall-slab frames subjected to high horizontal forces. An original protocol is proposed for testing in these loading conditions, where reaching shear failure represents the main difficulty for designing specimens. This protocol makes use of an original and reliable test setup, in which two horizontal forces are symmetrically applied apart the beam axis, making it possible to generate a constant axial force and a constant negative bending moment along span. The loading protocol is oriented towards a defined value of axial force, while shear at failure may be combined with a negative or positive moment. The loading path for bending moment and axial force is chosen as to remain inside the normal force-bending moment failure curve. The failure in shear occurs at constant axial force and increasing bending moment. The whole procedure was first implemented to perform three rather simple preliminary tests. Their results show the technical feasibility of this protocol. Some limitation of initial parameters was evidenced. So better parameters were chosen for carrying out the main experimental program (presented in another paper).
Similar content being viewed by others
Abbreviations
- L :
-
Length of the beam
- l :
-
Span of the beam
- a :
-
Distance from the application of the vertical force to the left support (shear span)
- e :
-
Eccentricity of horizontal forces with respect to the mid-height of the beam
- D :
-
Distance of the two pins for the transfer of axial tensile load
- d :
-
Effective depth of the beam
- s :
-
Spacing of stirrups
- f c :
-
Concrete compressive strength
- f y :
-
Yield stress of steel
- f r :
-
Ultimate strength of steel
- F :
-
Vertical force
- F1, F2 :
-
Horizontal forces
- R1, R2, Ra :
-
Reactions on the beam
- N :
-
Axial tensile force
- M :
-
Bending moment
- V :
-
Shear force
- A s :
-
Cross-section of a longitudinal steel reinforcing bar
- N y :
-
Axial force corresponding to the yield stress of longitudinal steel reinforcing bars
- N u :
-
Ultimate axial force
- M u :
-
Ultimate bending moment
- V u :
-
ultimate shear force
- M + :
-
Positive bending moment induced by the shear force
- M − :
-
Negative bending moment induced by the torque application system
- θ :
-
Angle of the diagonal cracks with respect to the beam-axis
References
EN 1992-1-1 (2004) Eurocode 2: design of concrete structures. Part 1-1: general rules and rules for buildings
ACI 318-08 (American Concrete Institute) (2008) Building code requirement for structural concrete and commentary
CSA 23.3-04 (Canadian Standards Association) (2004) Design of concrete structures
fib (2012) Model Code 2010—Final draft
NF EN 1992-1-1/AN (2005) Annexe Nationale de la norme NF EN 1992-1-1: 2004/Calcul des structures en béton. Partie 1-1: Règles générales et règles pour les bâtiments
Mattock AH (1969) Diagonal tension cracking in concrete beams with axial force. J Struct Div 95(9):1887–1900
Haddadin MJ, Hong ST, Mattock AH (1971) Stirrup effectiveness in reinforced concrete beams with axial force. J Struct Div 97(9):2277–2297
Regan PE (1971). Shear in reinforced concrete. An experimental study. Technical Note 45, CIRIA, London
Bhide SB, Collins MP (1989) Influence of axial tension on the shear capacity of reinforced concrete members. ACI Struct J 86(5):570–581. https://doi.org/10.14359/3013
Adebar P, Collins MP (1996) Shear strength of members without transverse reinforcement. Can J Civ Eng 23(1):30–41. https://doi.org/10.1139/l96-004
Jorgensen HB, Hoang LC, Fabrin LS and Malgaard J (2013). Influence of high axial Tension on the shear strength of non-shear RC beams. In: Proceedings of the international IABSE conference: assessment, upgrading, refurbishment of infrastructures
Elstner RC, Hognestad E (1957) Laboratory investigation of rigid frame failure. ACI J Proc 53(7):637–668. https://doi.org/10.14359/11540
Bara HC (1971). Investigation on the effect of axial loads on the shear strength of reinforced concrete beams. Thesis. Imperial College, London
Sοrensen K, Lοset O, Olsen T (1981). Investigation of the influence of axial tensile forces on the transverse shear strength. Report No. PPI-1-5, Det Norske Veritas, Oslo, Plus appendixes
Fernández-Montes D, Valle EG, Díaz Heredia E (2015) Influence of axial tension on the shear strength of floor joists without transverse reinforcement. Struct Concr 2:207–220. https://doi.org/10.1002/suco.201400063
de Buhan P (2007) Plasticité et calcul à la rupture. Presses de l’Ecole Nationale des Ponts et Chaussées, Paris
Averbuch D (1996). Approche du dimensionnement des structures en béton armé par le Calcul à la Rupture. Thesis. Ecole Nationale des Ponts et Chaussées, Paris. (in French)
Pham DT, de Buhan P, Florence C, Heck JV, Nguyen HH (2015) Interaction diagrams of reinforced concrete sections in fire: a yield design approach. Eng Struct 90:38–47. https://doi.org/10.1016/j.engstruct.2015.02.012
Pham DT (2014). Analyse par le Calcul à la rupture de la stabilité au feu des panneaux en béton armé de grandes dimensions. Thesis. Université Paris-Est. Paris. (in French)
Background document for EC-2 (2002) Chapter 6.2. Shear—JC Walraven, Delft University of Technology
Acknowledgements
Authors wish to thank EDF (Electricité de France, French national electricity supplier) for funding this study.
Funding
This study was funded by EDF (Electricité de France) (Grant No. 3682).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Pham, D.T., Pinoteau, N., Fouré, B. et al. A new protocol for testing RC beams in combined shear and tension loading conditions. Mater Struct 53, 10 (2020). https://doi.org/10.1617/s11527-020-1441-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1617/s11527-020-1441-y