Technical Papers
Apr 15, 2016

Shear Design and Assessment of Reinforced and Prestressed Concrete Beams Based on a Mechanical Model

Publication: Journal of Structural Engineering
Volume 142, Issue 10

Abstract

Safe and economical design and assessment of reinforced (RC) and prestressed concrete (PC) beams requires the availability of accurate but simple formulations which adequately capture the structural response. In this paper, a mechanical model for the prediction of the shear-flexural strength of PC and RC members with rectangular, I, or T sections, with and without shear reinforcement, is presented. The model is based on the principles of concrete mechanics and on assumptions supported by the observed experimental behavior and by the results of refined numerical models. Compact, simple, and accurate expressions are derived for design and verification of the shear strength, which incorporate the most relevant shear transfer actions. Excellent agreement between the predictions of the model and the results of the recently published ACI-DAfStb databases, including more than 1,287 tests on RC and PC beams with and without stirrups, has been observed. The theory behind the model provides consistent explanations for many aspects related to the shear response that are not clearly explained by current code formulations, making it a very helpful tool for daily engineering practice.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The present work has been developed under the framework of research projects BIA2012-36848 and BIA2012-31432, funded by the Spanish Ministry of Economy and Competitiveness (MINECO) and the European Regional Development Fund (ERDF), and under the financial help of Infraestructures de Catalunya (ICAT).

References

ACI (American Concrete Institute). (1998). “Recent approaches to shear design of structural concrete.” J. Struct. Eng., 124(12), 1375–1417.
ACI (American Concrete Institute). (2011). “Building code requirements of structural concrete and commentary.” ACI 318, Farmington Hills, MI.
ACI (American Concrete Institute). (2015). “ACI-DAfStb databases 2015 on shear tests for evaluating relationships for the shear design of structural concrete members without and with stirrups.” ACI DAfStb 617, Berlin.
Aparicio, A. C., Calavera, J., and del Pozo, F. (1998). “Ensayos de esfuerzo cortante por agotamiento de las bielas comprimidas con Hormigón de Altas Prestaciones.” Primer Symp. Nacional de Hormigón de Altas Prestaciones, Fundación Agustín de Bethencourt, Universidad Politécnica de Madrid, Madrid, Spain, 469–482.
Bairán, J. M., and Marí, A. R. (2006). “Coupled model for the non-linear analysis of anisotropic sections subjected to general 3D loading—Part 1: Theoretical formulation.” Comput. Struct., 84(31–32), 2254–2263.
Bairán, J. M., and Marí, A. R. (2007). “Multiaxial-coupled analysis of RC cross sections subjected to combined forces.” Eng. Struct., 29(8), 1722–1738.
Bentz, E. C. (2000). “Sectional analysis of reinforced concrete members.” Ph.D. thesis, Univ. of Toronto, Toronto.
CEN (European Committee for Standardization). (2002). “Eurocode 2: Design of concrete structures—Part 1: General rules and rules for buildings.” Brussels, Belgium.
Choi, K.-K., and Hong-Gun, P. (2007). “Unified shear strength model for reinforced concrete beams—Part II: Verification and simplified method.” ACI Struct. J., 104(2), 153–166.
Choulli, Y. (2005). “Shear behaviour of prestressed I-beams made with high-strength self compacting concrete.” Ph.D. thesis, Universitat Politècnica de Catalunya, Barcelona, Spain.
Choulli, Y., Marí, A., and Cladera, A. (2008). “Shear behaviour of full-scale prestressed i-beams made with self compacting concrete.” Mater. Struct., 41(1), 131–141.
Cladera, A., Marí, A., Ribas, C., Bairán, J., and Oller, E. (2015). “Predicting the shear-flexural strength of slender reinforced concrete T and I shaped beams.” Eng. Struct., 101(15), 386–398.
Cladera, A., and Marí, A. R. (2004). “Shear design procedure for reinforced normal and high-strength concrete beams using artificial neural networks—Part I: Beams without stirrups.” Eng. Struct., 26(7), 917–926.
Cladera, A., and Marí, A. R. (2005). “Experimental study on high-strength concrete beams failing in shear.” Eng. Struct., 27(10), 1519–1527.
Collins, M. P., Bentz, E. C., Sherwood, E. G., and Xie, L. (2008). “An adequate theory for the shear strength of reinforced concrete structures.” Mag. Concr. Res., 60(9), 635–650.
CSA Group. (2014). “Design of concrete structures.” CSA A23.3-14, Mississauga, ON, Canada.
De Silva, S., Mutsuyoshi, H., Witchukreangkrai, E., and Takagi, M. (2006). “Experimental study on shear cracking behaviour in I-shaped partially prestressed concrete beams.” Proc. Japan Concrete Institute (JCI), 28(2), 817–822.
Elzanaty, A. H., Nilson, A. H., and Slate, F. O. (1986). “Shear capacity of prestressed concrete beams using high-strength concrete.” ACI J., 83(3), 359–368.
Evans, R. H., and Schumacher, E. G. (1963). “Shear strength of prestressed beams without web reinforcement.” ACI J. Proc., 60(11), 1621–1642.
Ferreira, D., Bairán, J., and Marí, A. (2013). “Numerical simulation of shear-strengthened RC beams.” Eng. Struct., 46(Jan), 359–374.
FIB (Fédération Internationale du Béton). (2013). fib model code for concrete structures 2010, Vol. 1, Ernst and Sohn, Berlin.
Kar, J. N. (1968). “Diagonal cracking in prestressed concrete beams.” J. Struct. Div., 94(1), 83–110.
Kupfer, H. B., and Gerstle, K. H. (1973). “Behavior of concrete under biaxial stresses.” J. Eng. Mech. Div., 99(4), 853–866.
Marí, A., Bairán, J., Cladera, A., Oller, E., and Ribas, C. (2015). “Shear-flexural strength mechanical model for the design and assessment of reinforced concrete beams.” Struct. Infrastruct. Eng., 11(11), 1399–1419.
Marí, A., Cladera, A., Oller, E., and Bairán, J. (2014). “Shear design of FRP reinforced concrete beams without transverse reinforcement.” Compos. Part B: Eng., 57(Feb), 228–241.
Maurer, R., Gleich, P., Zilch, K., and Dunkelberg, D. (2014). “Experimental investigations on the shear load bearing capacity of a large two-span prestressed concrete beam.” Beton- Und Stahlbetonbau, 109(10), 654–665 (in German).
Mohr, S., Bairán, J. M., and Marí, A. R. (2010). “A frame element model for the analysis of reinforced concrete structures under shear and bending.” Eng. Struct., 32(12), 3936–3954.
Muguruma, A., Watanabe, F., and Fujii, M. (1983). “Experimental study on shear resisting behavior of prestressed reinforced concrete beams.” Transactions of the Japan Concrete Institute, 453–456 (in Japanese).
Muttoni, A., and Ruiz, M. F. (2008). “Shear strength of members without transverse reinforcement as function of critical shear crack width.” ACI Struct. J., 105(2), 163–172.
Navarro-Gregori, J., Miguel-Sosa, P., Fernández-Prada, M. A., and Filippou, F. C. (2007). “A 3D numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading.” Eng. Struct., 29(12), 3404–3419.
Oh, B. H., and Kim, K. S. (2004). “Shear behavior of full-scale post-tensioned prestressed concrete bridge girders.” ACI Struct. J., 101(2), 176–182.
Olesen, S. O., Sozen, M. A., and Siess, C. (1967). “Investigation of prestressed reinforced concrete for highway bridges—Part IV: Strength in shear of beams with web reinforcement.” Bulletin No. 493, Engineering Experiment Station, Univ. Illinois, Urbana, IL.
Oller, E., Marí, A., Bairán, J. M., and Cladera, A. (2015). “Shear design of reinforced concrete beams with FRP longitudinal and transverse reinforcement.” Compos. Part B: Eng., 74(Jun), 104–122.
Park, H.-G., Kang, S., and Choi, K.-K. (2013). “Analytical model for shear strength of ordinary and prestressed concrete beams.” Eng. Struct., 46, 94–103.
Petrangeli, M., Pinto, P. E., and Ciampi, V. (1999). “Fiber element for cyclic bending and shear of RC structures. I: Theory.” J. Eng. Mech., 994–1001.
Rangan, V. B. (1991). “Web crushing strength of reinforced and prestressed concrete beams.” ACI Struct. J., 88(1), 12–16.
Recupero, A., D’Aveni, A., and Ghersi, A. (2003). “N-M-V interaction domains for box and I-shaped reinforced concrete members.” ACI Struct. J., 100(1), 113–119.
Reineck, K. H. (1991). “Ultimate shear force of structural concrete members without transverse reinforcement derived from a mechanical model.” ACI Struct. J., 88(5), 592–602.
Reineck, K. H., Bentz, E. C., Fitik, B., Kuchma, D. A., and Bayrak, O. (2013). “ACI-DafStb database of shear tests on slender reinforced concrete beams without stirrups.” ACI Struct. J., 110(5), 867–876.
Reineck, K.-H., Bentz, E., Fitik, B., Kuchma, D. A., and Bayrak, O. (2014). “ACI-DAfStb databases for shear tests on slender reinforced concrete beams with stirrups.” ACI Struct. J., 111(5), 1147–1156.
Rupf, M., Fernández Ruiz, M., and Muttoni, A. (2013). “Post-tensioned girders with low amounts of shear reinforcement: Shear strength and influence of flanges.” Eng. Struct., 56(Nov), 357–371.
Saqan, E., and Rasheed, H. (2011). “Simplified nonlinear analysis to compute neutral axis depth in prestressed concrete rectangular beams.” J. Franklin Inst., 348(7), 1588–1604.
Saritas, A., and Filippou, F. C. (2009). “Inelastic axial-flexure-shear coupling in a mixed formulation beam finite element.” Int. J. Non-Linear Mech., 44(8), 913–922.
Tureyen, A. K., and Frosch, R. J. (2003). “Concrete shear strength: Another perspective.” ACI Struct. J., 100(5), 609–615.
Vecchio, F. J. (2000). “Disturbed stress field model for reinforced concrete: Formulation.” J. Struct. Eng., 1070–1077.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI Struct. J., 83(2), 219–231.
Wolf, T. S., and Frosch, R. J. (2007). “Shear design of prestressed concrete: A unified approach.” J. Struct. Eng., 1512–1519.
Zararis, P. D., and Papadakis, G. C. (2001). “Diagonal shear failure and size effect in RC beams without web reinforcement.” J. Struct. Eng., 733–742.
Zhang, T., Visintin, P., Oehlers, D. J., and Griffith, M. C. (2014a). “Presliding shear failure in prestressed RC beams. I: Partial-interaction mechanism.” J. Struct. Eng., 04014069.
Zhang, T., Visintin, P., Oehlers, D. J., and Griffith, M. C. (2014b). “Presliding shear failure in prestressed RC beams. II: Behavior.” J. Struct. Eng., 04014070.
Zwoyer, E. M., and Siess, C. P. (1954). “Ultimate strength in shear of simply-supported prestressed concrete beams without web reinforcement.” ACI J. Proc., 51(10), 181–200.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 10October 2016

History

Received: Jul 8, 2015
Accepted: Feb 9, 2016
Published online: Apr 15, 2016
Discussion open until: Sep 15, 2016
Published in print: Oct 1, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Antonio Marí [email protected]
Professor, Dept. of Construction Engineering, Universitat Politècnica de Catalunya, Jordi Girona 1-3, C-1 201, 08034 Barcelona, Spain (corresponding author). E-mail: [email protected]
Jesús M. Bairán [email protected]
Associate Professor, Dept. of Construction Engineering, Universitat Politècnica de Catalunya, Jordi Girona 1-3, C-1 201, 08034 Barcelona, Spain. E-mail: [email protected]
Antoni Cladera [email protected]
Associate Professor, Dept. of Physics, Universitat de les Illes Balears, Ctra. Valldemossa km 7.5, 07122 Palma de Mallorca, Spain. E-mail: [email protected]
Assistant Professor, Dept. of Construction Engineering, Universitat Politècnica de Catalunya, Jordi Girona 1-3, C-1 201, 08034 Barcelona, Spain. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share