Technical Papers
May 6, 2019

Cyclic Analyses of Reinforced Concrete Masonry Panels Using a Force-Based Frame Element

Publication: Journal of Structural Engineering
Volume 145, Issue 7

Abstract

This paper presents the calibration of a frame element that can be used to model the flexural as well as the shear behavior of reinforced masonry panels subjected to monotonic and cyclic loads. The element can be used in the equivalent frame method to analyze masonry wall systems, and is based on a force-based Timoshenko beam element formulation that combines a fiber-section model with a phenomenological nonlinear shear law. The element was originally applied to the analysis of reinforced concrete frames, and has been recently extended to unreinforced masonry structures. Well-established constitutive laws are used for masonry and steel reinforcement. The constitutive law for shear requires special attention in order to correctly predict the shear force-deformation response of masonry walls, accounting for the presence of shear reinforcement. A procedure to calibrate the parameters of the shear law is presented. The effectiveness, accuracy, and simplicity of the force-based Timoshenko frame element and the calibration method are validated by results of experimental tests. Even though the element is general and can model any reinforced masonry panel, the applications of this paper focus on panels made of hollow concrete blocks.

Get full access to this article

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

References

Addessi, D., D. Liberatore, and R. Masiani. 2015a. “Force-based beam finite element (FE) for the pushover analysis of masonry buildings.” Int. J. Archit. Heritage 9 (3): 231–243. https://doi.org/10.1080/15583058.2013.768309.
Addessi, D., A. Mastrandrea, and E. Sacco. 2015b. “A force-based equivalent frame element for push-over analysis of masonry structures.” Key Eng. Mater. 624: 405–412. https://doi.org/10.4028/www.scientific.net/KEM.624.405.
Ahmadi, F., J. Hernandez, J. Sherman, C. Kapoi, R. E. Klingner, and D. I. McLean. 2014. “Seismic performance of cantilever-reinforced concrete masonry shear walls.” J. Struct. Eng. 140 (9): 1–18. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000941.
Augenti, N. 2004. Il Calcolo Sismico degli Edifici in Muratura. Torino, Italy: Libreria UTET.
Brencich, A., and S. Lagomarsino. 1998. “A macro-element dynamic model for masonry shear walls.” In Proc., STRUMAS IV: 4th Int. Symp. on Computer Methods in Structural Masonry, 67–75. London: E&FN Spon.
Coleman, J., and E. Spacone. 2001. “Localization issues in nonlinear force-based frame elements.” J. Struct. Eng. 127 (11): 1257–1265. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:11(1257).
Caliò, I., M. Marletta, and B. Pantò. 2012. “A new discrete element model for the evaluation of the seismic behavior of unreinforced masonry buildings.” Eng. Struct. 40: 327–338. https://doi.org/10.1016/j.engstruct.2012.02.039.
Dolce, M. 1991. “Schematizzazione e Modellazione degli Edifici in Muratura Soggetti ad Azioni Sismiche.” L’industria delle costruzioni 25 (242): 44–57.
El-Dakhakhni, W. W., B. R. Banting, and S. C. Miller. 2013. “Seismic performance parameter quantification of shear-critical reinforced concrete masonry squat walls.” J. Struct. Eng. 139 (6): 957–973. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000713.
Gambarotta, L., and S. Lagomarsino. 1997. “Damage models for the seismic response of brick masonry shear walls. Part I: The mortar joint model and its applications.” Earthquake Eng. Struct. Dyn. 26 (4): 423–439. https://doi.org/10.1002/(SICI)1096-9845(199704)26:4%3C423::AID-EQE650%3E3.0.CO;2-.
International Conference of Building Officials. 1997. Uniform building code. Whittier, CA: International Conference of Building Officials.
Kapoi, C. M. 2012. “Experimental performance of concrete masonry shear walls under in-plane loading.” Master’s thesis, Dept. of Civil and Environmental Engineering, Washington State Univ.
Kent, D. C., and R. Park. 1971. “Flexural members with confined concrete.” J. Struct. Div. 97 (7): 1969–1990.
Koutromanos, I., and P. B. Shing. 2012. “Cohesive crack model to simulate cyclic response of concrete and masonry structures.” ACI Struct. J. 109 (3): 349–358. https://doi.org/10.14359/51683748.
Lotfi, H. R., and P. B. Shing. 1991. “An appraisal of smeared crack models for masonry shear wall analysis.” Comput. Struct. 41 (3): 413–425. https://doi.org/10.1016/0045-7949(91)90134-8.
Lotfi, H. R., and P. B. Shing. 1994. “Interface model applied to fracture of masonry structures.” J. Struct. Eng. 120 (1): 63–80. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:1(63).
Lourenço, P. B. 1996. “Computational strategies for masonry structures.” Ph.D. thesis, Civil Engineering Dept., Delft Univ. of Technology.
Lourenço, P. B., R. De Borst, and J. G. Rots. 1997. “A plane stress softening plasticity model for orthotropic materials.” Int. J. Numer. Methods Eng. 40 (21): 4033–4057. https://doi.org/10.1002/(SICI)1097-0207(19971115)40:21%3C4033::AID-NME248%3E3.0.CO;2-0.
Lourenço, P. B., and J. G. Rots. 1997. “Multisurface interface model for analysis of masonry structures.” J. Eng. Mech. 123 (7): 660–668. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:7(660).
Lourenço, P. B., J. G. Rots, and J. Blaauwendraad. 1995. “Two approaches for the analysis of masonry structures: Micro and macro-modeling.” Heron 40 (4): 313–340.
Lourenço, P. B., J. G. Rots, and J. Blaauwendraad. 1998. “Continuum model for masonry: Parameter estimation and validation.” J. Struct. Eng. 124 (6): 642–652. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:6(642).
Marini, A., and E. Spacone. 2006. “Analysis of reinforced concrete elements including shear effects.” ACI Struct. J. 103 (5): 645–655.
Matsumura, A. 1988. “Shear strength of reinforced masonry walls.” In Proc., 9th World Conf. on Earthquake Engineering, 121–126. Tokyo: 9WCEE Org. Committee.
McKenna, F., G. L. Fanves, H. M. Scott, and B. Jeremic. 2000. Open system for earthquake engineering simulation (OpenSees). Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Menegotto, M., and P. E. Pinto. 1973. “Method of analysis for cyclic loaded R.C. Plane frame including changes in geometry and non-elastic behaviour of elements under combined normal force and bending.” In Proc., of IABSE Symposium on Resistance and Ultimate Deform ability of Structures Acted on by Well Defined Repeated Loads, International Association for Bridge and Structural Engineering, 15–22. Zurich, Switzerland: International Association for Bridge and Structural Engineering.
MSJC (Masonry Standards Joint Committee). 2013. Building code requirements and specification for masonry structures and related commentaries. Farmington Hills, MI: American Concrete Institute.
NIST. 2010. Evaluation of the FEMA P-695 methodology for quantification of building seismic performance factors. Gaithersburg, MD: NIST.
NIST. 2017. Recommended modeling parameters and acceptance criteria for nonlinear analysis in support of seismic evaluation, retrofit, and design. Redwood City, CA: Applied Technology Council.
Penna, A., S. Lagomarsino, and A. Galasco. 2014. “A nonlinear macroelement model for the seismic analysis of masonry buildings.” Earthquake Eng. Struct. Dyn. 43 (2): 159–179. https://doi.org/10.1002/eqe.2335.
Petrovčič, S., and V. Kilar. 2013. “Seismic failure mode interaction for equivalent frame modeling of unreinforced masonry structures.” Eng. Struct. 54 (Sep): 9–22. https://doi.org/10.1016/j.engstruct.2013.03.050.
Psilla, N., and T. P. Tassios. 2009. “Design models of reinforced masonry walls under monotonic and cyclic loading.” Eng. Struct. 31 (4): 935–945. https://doi.org/10.1016/j.engstruct.2008.12.003.
Raka, E., E. Spacone, V. Sepe, and G. Camata. 2015. “Advanced frame element for seismic analysis of masonry structures: Model formulation and validation.” Earthquake Eng. Struct. Dyn. 44 (14): 2489–2506. https://doi.org/10.1002/eqe.2594.
Rinaldin, G., C. Amadio, and L. Macorini. 2016. “A macro-model with nonlinear springs for the seismic analysis of URM buildings.” Earthquake Eng. Struct. Dyn. 45 (14): 2261–2281. https://doi.org/10.1002/eqe.2759.
Shedid, M. T., R. G. Drysdale, and W. W. El-Dakhakhni. 2008. “Behavior of fully grouted reinforced concrete masonry shear walls failing in flexure: Experimental results.” J. Struct. Eng. 134 (11): 1754–1767. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:11(1754).
Sherman, J. D. 2011. “Effects of key parameters on the performance of concrete masonry shear walls under in-plane loading.” Master’s thesis, Dept. of Civil and Environmental Engineering, Washington State Univ.
Shing, P. B., L. Noland, E. W. Klamerus, and H. P. Spaeh. 1989. “Inelastic behavior of concrete masonry shear walls.” J. Struct. Eng. 115 (9): 2204–2225. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:9(2204).
Shing, P. B., L. Noland, H. P. Spaeh, E. W. Klamerus, and M. P. Schuller. 1991. Response of single-story reinforced masonry shear walls to in-plane lateral loads. Boulder, CO: Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Colorado.
Shing, P. B., M. P. Schuller, and V. S. Hoskere. 1990. “In-plane resistance of reinforced masonry shear walls.” J. Struct. Eng. 116 (3): 619–640. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:3(619).
Siano, R., V. Sepe, G. Camata, E. Spacone, P. Roca, and L. Pelà. 2017. “Analysis of the performance in the linear field of equivalent-frame models for regular and irregular masonry walls.” Eng. Struct. 145 (Aug): 190–210. https://doi.org/10.1016/j.engstruct.2017.05.017.
Sugano, S., T. Saito, C. Zavala, and L. Cardenas. 2014. “Strength and deformation of confined brick masonry walls subjected to lateral forces: Review of existing test data in Japan and Peru.” J. Disaster Res. 9 (6): 984–992. https://doi.org/10.20965/jdr.2014.p0984.
Tomaževič, M. 1999. Earthquake resistance of masonry buildings. Vol. 1 of Series on innovations in structures and construction. London: Imperial College Press.
Tomaževič, M., and P. Weiss. 1994. “Seismic behavior of plain- and reinforced-masonry buildings.” J. Struct. Eng. 120 (2): 323–338. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:2(323).
Vanin, F., J. P. Almeida, and K. Beyer. 2017. “Force-based finite element for modeling the cyclic behavior of unreinforced masonry piers.” In Proc., 16th World Conf. on Earthquake Engineering (WCEE 2017). Lausanne, Switzerland: Ecole polytechnique fédérale de Lausanne.
Voon, K. C., and J. M. Ingham. 2002. Shear strength of masonry walls. Auckland, New Zealand: Dept. of Civil and Environmental Engineering, Univ. of Auckland.
Voon, K. C., and J. M. Ingham. 2006. “Experimental in-plane shear strength investigation of reinforced concrete masonry walls.” J. Struct. Eng. 132 (3): 400–408. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:3(400).

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 145Issue 7July 2019

History

Received: Jan 8, 2018
Accepted: Nov 15, 2018
Published online: May 6, 2019
Published in print: Jul 1, 2019
Discussion open until: Oct 6, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Matteo Peruch [email protected]
Postdoctoral Fellow, Dept. of Engineering and Geology, Univ. of Chieti Pescara, 65127 Pescara, Italy (corresponding author). Email: [email protected]; [email protected]
Enrico Spacone
Professor, Dept. of Engineering and Geology, Univ. of Chieti Pescara, 65127 Pescara, Italy.
P. Benson Shing, M.ASCE
Professor, Dept. of Structural Engineering, Univ. of California, San Diego, La Jolla, CA 92093.

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