Equations for Shear Design of Continuous Reinforced-Concrete Haunched Beams Based on Stress Fields and Truss Models
Publication: Practice Periodical on Structural Design and Construction
Volume 25, Issue 3
Abstract
Simple methods are required to reasonably estimate the shear strength of reinforced-concrete haunched beams (RCHBs) for design in order to inhibit shear failures in favor of a flexural behavior. In this paper, design equations developed from stress fields and truss models, also known as strut-and-tie models, are assessed and related with the processed experimental data for the cyclic testing of continuous RCHBs failing in shear. It was found that, for design purposes, plausible estimates for the shear strength of RCHBs could be assessed with the proposed equations.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The financial support of Conacyt (Basic Science Project 79878) and Universidad Autónoma Metropolitana is gratefully acknowledged. The HESA firm fabricated all the steel (including the continuous inclined steel reinforcement) used in all the tested specimens. Edznab López heavily participated in the design of the formwork and the construction and testing of most specimens. Jesús Aranda participated in the testing of beam TASCV3α4-R1c as a part of his BSc. thesis. MSc. Gilberto Rangel, Eng. José Rivera, and technicians Rubén Barreda, Juan Mateos, and José Caballero assisted us in the prototype testing.
References
ACI (American Concrete Institute). 2014. Building code requirements for structural concrete (ACI-318-14) and commentary (ACI 318R-14). ACI 318. Farmington Hills, MI: ACI.
Archundia, H. I. 2013. “Recomendaciones de diseño a cortante de trabes acarteladas de concreto reforzado.” [In Spanish.] Tesis de Doctorado, División de Estudios de Posgrado de la Facultad de Ingeniería, Universidad Nacional Autónoma de México.
Archundia, H. I., and A. Tena. 2015a. “Diseño racional a cortante de trabes acarteladas de concreto reforzado.” [In Spanish.] Concreto y Cemento. Investigación y Desarrollo 6 (2): 2–29.
Archundia, H. I., and A. Tena. 2015b. “Sección critica, esbeltez y regiones B-D para diseño a cortante de trabes de concreto reforzado.” [In Spanish.] Concreto y Cemento. Investigación y Desarrollo 7 (1): 2–29.
Archundia-Aranda, H. I., A. Tena-Colunga, and A. Grande-Vega. 2013. “Behavior of reinforced concrete haunched beams subjected to cyclic shear.” Eng. Struct. 49 (Apr): 27–42. https://doi.org/10.1016/j.engstruct.2012.10.037.
Debaiky, S. Y., and E. I. El-Niema. 1982. “Behavior and strength of reinforced concrete haunched beams in shear.” ACI J. 79 (3): 184–194. https://doi.org/10.14359/10896.
Dilger, W. H., and P. Langohr. 1997. “Shear design of haunched concrete box girders of the confederation bridge.” Can. J. Civ. Eng. 24 (6): 898–907. https://doi.org/10.1139/l97-075.
Downs, R. E., K. D. Hjelmstad, and D. A. Foutch. 1991. Evaluation of two RC buildings retrofit with steel bracing. Champaign, IL: Univ. of Illinois at Urbana-Champaign.
El-Niema, E. I. 1988. “Investigation of concrete haunched beams under shear.” J. Struct. Eng. 114 (4): 917–930. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:4(917.
Hou, C., K. Matsumoto, and J. Niwa. 2015. “Shear failure mechanism of reinforced concrete haunched beams.” J. Jpn. Soc. Civ. Eng. 3 (1): 230–245. https://doi.org/10.2208/journalofjsce.3.1_230.
MacLeod, I. A., and A. Houmsi. 1994. “Shear strength of haunched beams without shear reinforcement.” ACI Struct. J. 91 (1): 79–89. https://doi.org/10.14359/4482.
Marti, P. 1985. “Truss models in detailing.” Concr. Int. 7 (12): 66–73.
Mörsch, E. 1952. Teoría y práctica del hormigón armado, Tomo II. 1st ed. Translated to Spanish from German. Buenos Aires, Argentina: Gili.
Muttoni, A., J. Schwartz, and B. Thürlimann. 1997. Design of concrete structures with stress fields. Basel, Switzerland: Birkhäuser.
Nielsen, M. P. 1999. Limit analysis and concrete plasticity. 2nd ed. Boca Raton, FL: CRC Press.
Orr, J. J., T. J. Ibell, A. P. Darby, and M. Everden. 2014. “Shear behavior of non-prismatic steel reinforced concrete beams.” Eng. Struct. 71 (Jul): 48–59. https://doi.org/10.1016/j.engstruct.2014.04.016.
Pérez-Caldentey, A., P. Padilla, A. Muttoni, and M. Fernández-Ruiz. 2012. “Effect of load distribution and variable depth on shear resistance of slender beams without stirrups.” ACI Struct. J. 109 (5): 595–604. https://doi.org/10.14359/51684037.
Qissab, M. A., and M. M. Salman. 2018. “Shear strength of non-prismatic steel fiber reinforced concrete beams without stirrups.” Struct. Eng. Mech. 67 (4): 347–358. https://doi.org/10.12989/sem.2018.67.4.34.
Rombach, G. A., M. Khol, and V. N. Nghiep. 2011. “Shear design of concrete members without shear reinforcement: A solved problem.” Procedia Eng. 14: 134–140. https://doi.org/10.1016/j.proeng.2011.07.015.
Tena-Colunga, A. 1994. “Concerns regarding the seismic design of reinforced concrete haunched beams.” ACI Struct. J. 91 (3): 287–293. https://doi.org/10.14359/4369.
Tena-Colunga, A., H. I. Archundia-Aranda, and O. M. González-Cuevas. 2008. “Behavior of reinforced concrete haunched beams subjected to static shear loading.” Eng. Struct. 30 (2): 478–492. https://doi.org/10.1016/j.engstruct.2007.04.017.
Tena-Colunga, A., and L. A. Martínez-Becerril. 2013. “Approximations of lateral displacements of RC frames with symmetric haunched beams using commercial software in the elastic range of response.” Pract. Period. Struct. Des. Constr. 18 (2): 92–100. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000143.
Tena-Colunga, A., L. A. Urbina-Californias, and H. I. Archundia-Aranda. 2017a. “Assessment of the shear strength of continuous reinforced concrete haunched beams based upon cyclic testing.” J. Build. Eng. 11 (May): 187–204. https://doi.org/10.1016/j.jobe.2017.04.018.
Tena-Colunga, A., L. A. Urbina-Californias, and H. I. Archundia-Aranda. 2017b. “Cyclic behavior of continuous reinforced concrete haunched beams with transverse reinforcement designed to fail in shear.” Constr. Build. Mater. 151 (Oct): 546–562. https://doi.org/10.1016/j.conbuildmat.2017.05.123.
Xu, X., and Y. Liu. 2017. “Load capacities of steel and concrete composite bridge deck slab with haunch.” Adv. Civ. Eng. 2017: 3295303. https://doi.org/10.1155/2017/3295303.
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©2020 American Society of Civil Engineers.
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Received: Mar 3, 2019
Accepted: Dec 4, 2019
Published online: Apr 6, 2020
Published in print: Aug 1, 2020
Discussion open until: Sep 6, 2020
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