Technical Papers
Jan 27, 2022

Probabilistic Beam–Column Joint Model for Seismic Analysis of Concrete Frames

Publication: Journal of Structural Engineering
Volume 148, Issue 4

Abstract

Beam–column joints in concrete buildings are critical for structural integrity under earthquake loading. Thus, accurate beam–column joint nonlinear models are important in seismic assessment and design of buildings. Most joint models in the literature are deterministic; the majority of which either are based on a small data set or do not distinguish failure modes and types of joints. This paper presents a data-driven probabilistic nonlinear model for concrete beam–column joints with transverse reinforcement. The model is based on multilinear regression using a newly developed database of 395 reinforced (confined) joints. Based on this database, current US seismic assessment provisions for beam–column joints were found to be conservative and have inconsistent levels of probability of exceedance for various nonlinear modeling parameters. The proposed probabilistic model unifies the level of probability of exceedance at 50%, a level that is consistent with the recently updated nonlinear beam and column provisions to avoid the bias in nonlinear assessment procedures. The proposed model exhibited good correlation with the test database, validation data sets, and cyclic backbones curves. Improved performance-based seismic design accuracy and economy for ductile concrete frames may result if current seismic assessment standards are updated based on the proposed model.

Get full access to this article

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

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

Partial funding provided by the University of Alaska to conduct this study is greatly appreciated.

References

ACI (American Concrete Institute). 2002. Building code requirements for structural concrete. ACI 318-02 and Commentary ACI 318R-02. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2017. Standard requirements for seismic evaluation and retrofit of existing concrete buildings. ACI 369.1-17 and Commentary. Farmington Hills, MI: ACI.
ACI (American Concrete Institute). 2019. Building code requirements for structural concrete. ACI 318-19 and Commentary ACI 318R-19. Farmington Hills, MI: ACI.
Alath, S., and S. K. Kunnath. 1995. “Modeling inelastic shear deformation in RC beam-column joints.” In Proc., 10th Engineering Mechanics Conf., 822–825. New York: ASCE.
Altoontash, A. 2004. “Simulation and damage models for performance assessment of reinforced concrete beam-column joints.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Stanford Univ.
ASCE. 2017. Seismic evaluation and retrofit of existing buildings. ASCE/SEI 41-17. Reston, VA: ASCE.
Biddah, A., and A. Ghobarah. 1999. “Modelling of shear deformation and bond slip in reinforced concrete joints.” Struct. Eng. Mech. 7 (4): 413–432. https://doi.org/10.12989/sem.1999.7.4.413.
Birely, A. C., L. N. Lowes, and D. E. Lehman. 2012. “A model for the practical nonlinear analysis of reinforced-concrete frames including joint flexibility.” Eng. Struct. 34 (Jan): 455–465. https://doi.org/10.1016/j.engstruct.2011.09.003.
Burak, B. 2010. “Analytical verification of a simplified reinforced concrete joint model.” In Proc., 9th US National and 10th Canadian Conf. on Earthquake Engineering. Ottawa: Canadian Association for Earthquake Engineering.
Castro, J. J., and H. Imai. 2004. “Structural performance of exterior beam column joints with mechanical anchorage at main bars.” In Proc., 13th World Conf. on Earthquake Engineering, 2474. Tokyo: International Association for Earthquake Engineering.
Celik, O. C., and B. R. Ellingwood. 2008. “Modeling beam-column joints in fragility assessment of gravity load designed reinforced concrete frames.” J. Earthquake Eng. 12 (3): 357–381. https://doi.org/10.1080/13632460701457215.
Choi, K.-K., N.-H. Dinh, and J.-C. Kim. 2017. “Behaviour of non-seismic detailed reinforced-concrete beam–column connections.” Proc. Inst. Civ. Eng. Struct. Build. 170 (7): 504–520. https://doi.org/10.1680/jstbu.16.00201.
EERI (Earthquake Engineering Research Institute). 1998. EERI annotated slide collection, 98-2. Oakland, CA: EERI.
Elmorsy, M. 2020. “Nonlinear modeling parameters for beam-column joints in seismic analysis of concrete buildings.” Master’s thesis, Dept. of Civil Engineering, Univ. of Alaska.
Favvata, M. J., B. A. Izzuddin, and C. G. Karayannis. 2008. “Modelling exterior beam–column joints for seismic analysis of RC frame structures.” Earthquake Eng. Struct. Dyn. 37 (13): 1527–1548. https://doi.org/10.1002/eqe.826.
FEMA. 2000. Prestandard and commentary for the seismic rehabilitation of buildings. FEMA 356. Washington, DC: FEMA.
FEMA. 2018. Seismic performance assessment of buildings. FEMA P-58-1. Washington, DC: FEMA.
Filipou, F. C., and A. Issa. 1988. Nonlinear analysis of reinforced concrete frames under cyclic load reversals. Berkeley, CA: Earthquake Engineering Research Center.
Fujii, S., and S. Morita. 1991. Comparison between interior and exterior R/C beam-column joint behavior. ACI SP 123, 145–166. Farmington Hills, MI: American Concrete Institute.
Ghannoum, W. M., and A. B. Matamoros. 2014. Nonlinear modeling parameters and acceptance criteria for concrete columns. ACI SP 297, 1–24. Farmington Hills, MI: American Concrete Institute.
Govindan, M. 2018. “Modeling parameters for reinforced concrete beams subjected to cyclic loading.” M.S. thesis, Dept. of Civil Engineering, Univ. of Texas at San Antonio.
Hassan, W. M. 2011. “Analytical and experimental assessment of seismic vulnerability of beam-column joints without transverse reinforcement in concrete buildings.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Univ. of California at Berkeley.
Hassan, W. M., and M. Elmorsy. 2022. “Cyclic nonlinear modeling parameters for unconfined beam-column joints.” ACI Struct. J. 119 (1): 89–104.
Hassan, W. M., and J. P. Moehle. 2012. “A cyclic nonlinear macro model for numerical simulation of beam-column joints in existing concrete buildings.” In Proc., 15th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Hassan, W. M., and J. P. Moehle. 2013. “Quantification of residual axial capacity of beam-column joints in existing concrete buildings under seismic load reversals.” In Proc., 4th Int. Conf. for Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2013, edited by M. Papadrakakis, V. Papadopoulos, and V. Plevris. Athens, Greece: National Technical Univ. of Athens.
Hassan, W. M., and J. P. Moehle. 2015. “Seismic strength models for beam-column joints in existing concrete buildings.” In Proc., 11th Canadian Conf. on Earthquake Engineering. Vancouver, BC, Canada: Canadian Association of Earthquake Engineering.
Hassan, W. M., and J. P. Moehle. 2018. “Shear strength of exterior and corner beam-column joints without transverse reinforcement.” ACI Struct. J. 115 (6): 1719–1727.
Hassan, W. M., S. Park, R. R. Lopez, K. M. Mosalam, and J. P. Moehle. 2010. “Seismic response of older-type reinforced concrete corner joints.” In Proc., 9th US National and 10th Canadian Conf. on Earthquake Engineering: Reaching Beyond Borders. Vancouver, BC, Canada: Canadian Association of Earthquake Engineering.
Hassan, W. M., F. Refaie, and A. Belal. 2018. “Axial load effect on strength and ductility of non-ductile beam-column joints.” In Proc., 16th European Conf. on Earthquake Engineering. Istanbul, Turkey: European Association for Earthquake Engineering.
Hwang, S.-J., H.-J. Lee, T.-F. Liao, K.-C. Wang, and H.-H. Tsai. 2005. “Role of hoops on shear strength of reinforced concrete beam-column joints.” ACI Struct. J. 102 (3): 445–453.
Kamimura, T., S. Takeda, and M. Tochio. 2000. “Influence of joint reinforcement on strength and deformation of interior beam-column subassemblages.” In Proc., 12th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Kang, T. H.-K., S.-S. Ha, and D.-U. Choi. 2008. “Seismic assessment of beam-to-column interactions utilizing headed bars.” In Proc., 14th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Kim, J., J. M. LaFave, and J. Song. 2009. “Joint shear behaviour of reinforced concrete beam–column connections.” Mag. Concr. Res. 61 (2): 119–132. https://doi.org/10.1680/macr.2008.00068.
Krawinkler, H., and S. Mohasseb. 1987. “Effects of panel zone deformations on seismic response.” J. Constr. Steel Res. 8 (Jan): 233–250. https://doi.org/10.1016/0143-974X(87)90060-5.
Lee, H.-J., and J.-W. Ko. 2007. “Eccentric reinforced concrete beam-column connections subjected to cyclic loading in principal directions.” ACI Struct. J. 104 (4): 459.
Lowes, L. N., and A. Altoontash. 2003. “Modeling reinforced-concrete beam-column joints subjected to cyclic loading.” J. Struct. Eng. 129 (12): 1686–1697. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:12(1686).
Mitra, N., and L. N. Lowes. 2007. “Evaluation, calibration, and verification of a reinforced concrete beam–column joint model.” J. Struct. Eng. 133 (1): 105–120. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:1(105).
NISEE (National Information Service for Earthquake Engineering). 2010. The earthquake engineering online archive. Berkeley, CA: Pacific Earthquake Engineering Center, Univ. of California.
Noguchi, H., and T. Kashiwazaki. 1992. “Experimental studies on shear performances of RC interior column-beam joints with high-strength materials.” In Proc., 10th World Conf. on Earthquake Engineering, 3163–3168. Rotterdam, Netherlands: A.A. Balkema.
Otani, S. 1974. SAKE-A computer program for inelastic response of R/C frames to earthquakes. Urbana, IL: Univ. of Illinois.
Shin, M., and J. M. LaFave. 2004. “Testing and modeling for cyclic joint shear deformations in RC beam-column connections.” In Proc., 13th World Conf. on Earthquake Engineering. Tokyo: International Association for Earthquake Engineering.
Sivaramakrishnan, B. 2010. “Non-linear modeling parameters for reinforced concrete columns subjected to seismic loads.” Master’s thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Teraoka, M., and S. Fujii. 2000. “Seismic damage and performance evaluation of R/C beam-column joints.” In Proc., 2nd US-Japan Workshop on Performance-Based Engineering for Reinforced Concrete Building Structures, 379–390. Tokyo: Japan Ministry of Education, Science, Sports and Culture.
Theiss, A. G. 2005. “Modeling the earthquake response of older reinforced concrete beam-column building joints.” Ph.D. dissertation, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Washington.
Youssef, M., and A. Ghobarah. 2001. “Modelling of RC beam-column joints and structural walls.” J. Earthquake Eng. 5 (1): 93–111. https://doi.org/10.1080/13632460109350387.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 148Issue 4April 2022

History

Received: Jan 7, 2021
Accepted: Sep 10, 2021
Published online: Jan 27, 2022
Published in print: Apr 1, 2022
Discussion open until: Jun 27, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Wael M. Hassan, Ph.D., P.E., S.E., M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, Univ. of Alaska Anchorage, Anchorage, AK 99508 (corresponding author). Email: [email protected]; [email protected]
Graduate Research Assistant, Dept. of Civil Engineering, Univ. of Alaska Anchorage, Anchorage, AK 99508. ORCID: https://orcid.org/0000-0002-2076-904X. Email: [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.

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