Modeling the Nonlinear Behavior of Concrete Masonry Walls Retrofitted with Steel Studs under Blast Loading
Publication: Journal of Performance of Constructed Facilities
Volume 25, Issue 5
Abstract
This paper presents the results of an analytical investigation of one-way unreinforced masonry (URM) walls retrofitted with externally anchored steel studs and subjected to blast loads. Using the wall geometrical and material properties, deflected shape, and crack pattern as input, a nonlinear model is developed to predict the inward force-displacement relationship of the retrofitted walls. In addition, using a rigid body analysis, a simple bilinear force-displacement relationship is developed to model the outward force-displacement relationship of the walls. Utilizing these two force-displacement relationships (resistance functions), a generalized single-degree-of-freedom (SDOF) model is developed to capture the nonlinear out-of-plane dynamic response of the retrofitted walls under blast loads. The SDOF model captured the experimentally observed displacement responses of the tested walls with reasonable accuracy. The model was also used to investigate the influence of block thickness, wall slenderness ratio, blast load intensity, and blast pulse shape on the out-of-plane dynamic response of retrofitted walls. The results demonstrated that anchored steel-stud systems could significantly enhance the out-of-plane capacity of the retrofitted walls by increasing their out-of-plane capacity and reducing their displacement.
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Acknowledgments
The following organizations are gratefully acknowledged for their support of this study: the Chemical, Biological, Radiological/Nuclear and Explosives Research and Technology Initiative (CRTI Project UNSPECIFIED06-015TD) for the financial support, the Canadian Explosives Research Laboratory (CERL) for conducting the blast tests, the Canadian Armed Forces for the use of the test range, the Natural Sciences and Engineering Research Council of Canada (NSERC)NSERC, the Canadian Concrete Masonry Producers Association (CCMPA) for donating the masonry blocks, the Canada Masonry Design Center (CMDC) for building the walls, the Bailey Metal Products Limited (BAILEY) for donating the steel studs, and the Center for Effective Design of Structures (CEDS) at McMaster University funded through Ontario Research and Development Challenge Fund (ORDCF), a program of the Ministry of Research and Innovation (MRI) for their financial support.
References
Abou-Zeid, B. M., El-Dakhakhni, W. W., Razaqpur, A. G., and Foo, S. (2011a). “Performance of unreinforced masonry walls retrofitted with externally-anchored steel studs under blast loading.” J. Perform. Constr. Facil., 25(5), 441–453.
Abou-Zeid, B. M., El-Dakhakhni, W. W., Razaqpur, A. G., and Foo, S. (2011b). “Response of arching unreinforced concrete masonry walls to blast loading.” J. Struct. Eng., 137(10), 1205–1214.
Alkhairi, F. M. (1991). “On the flexural strength of concrete beams prestressed with unbonded internal and external tendons.” Ph.D. dissertation, Univ. of Michigan, Ann Arbor, MI.
Baker, W. (1973). Explosions in air, University of Texas Press, Austin, TX.
Biggs, J. M. (1964). Introduction to structural dynamics, McGraw-Hill, New York.
Brown, J. (2004). “Strengthening of unreinforced masonry structures with glass fiber-reinforced polymers to mitigate the effects of blast.” Ph.D. dissertation, Univ. of New Mexico, Albuquerque, NM.
Chopra, A. K. (2006). Dynamics of structures: Theory and applications to earthquake engineering, Prentice Hall, Upper Saddle River, NJ.
Doherty, K. T. (2000). “An investigation of the weak links in the seismic load path of unreinforced masonry buildings.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of Adelaide, Australia.
Doherty, K., Griffith, M. C., Lam, N., and Wilson, J. (2002). “Displacement-based seismic analysis for out-of-plane bending of unreinforced masonry walls.” Earthquake Eng. Struct. Dyn., 31(4), 833–850.
Drysdale, R. G., and Hamid, A. A. (2005). Masonry structures: Behavior and design, Canada Masonry Design Centre, Ontario, Canada.
El-Domiaty, K., Myers, J., and Belarbi, A. (2002). “Blast resistance of unreinforced masonry walls retrofitted with fiber reinforced polymers.” Rep. 02-28, Center for Infrastructure Engineering Studies, Univ. of Missouri, Rolla, MO.
Gambarotta, L., and Monetto, I. (1999). “On the dynamic approach to the out-of-plane seismic collapse of masonry walls.” Proc., 8th North American Masonry Conf., Masonry Society, Boulder, CO.
Harajli, M., Khairallah, N., and Nassef, H. (1999). “Externally prestressed members: Evaluation of second-order effects.” J. Struct. Eng., 125(10), 1151–1161.
Hashemi, A., and Mosalam, K. M. (2007). “Seismic evaluation of reinforced concrete buildings including effects of masonry infill walls.” PEER Rep. 07/100, Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of Berkeley, Berkeley, CA.
Lam, N. T. K., Griffith, M. C., Wilson, J. L., and Doherty, K. (2003). “Time-history analysis of URM walls in out-of-plane flexure.” Eng. Struct., 25(6), 743–754.
Ma, G. W., Shi, H. J., and Shu, D. W. (2007). “P-I diagram method for combined failure modes of rigid-plastic beams.” Int. J. Impact Eng., 34(6), 1081–1094.
McKee, K. E., and Sevin, E. (1959). “Design of masonry walls for blast loading.” Trans. Am. Soc. Civ. Eng., 124(1), 457–471.
Naaman, A. E., and Breen, J. E., eds. (1990). “External prestressing in bridges.” SP-120, American Concrete Institute, Farmington Hills, MI.
Oswald, C., and Chang, K. (2001). “Shock tube testing on masonry walls strengthened with Kevlar.” 10th Int. Symp. on Interaction of Effects of Munitions with Structures, San Diego, 7–11.
Paulay, T., and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, Wiley, New York.
Priestly, M. J. N. (1985). “Seismic behavior of unreinforced masonry walls.” Bull. New Zeal. Natl. Soc. Earthquake Eng., 18(2), 191–205.
Simsir, C. (2004). “Influence of diaphragm flexibility on the out-of-plane dynamic response of unreinforced masonry walls.” Ph.D. dissertation, Univ. of Illinois, Urbana, IL.
U.S. Dept. of the Army (2008). “Design of structures to resist the effects of accidental explosions.” Technical Manual UFC 3-340-02, Washington, DC.
Wight, J. K., and Macgregor, J. G. (2008). Reinforced concrete: Mechanics and design, 5th Ed., Pearson Prentice-Hall, Upper Saddle River, NJ.
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© 2011 American Society of Civil Engineers.
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Received: Oct 13, 2010
Accepted: Jun 14, 2011
Published online: Jun 16, 2011
Published in print: Oct 1, 2011
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