Validity of SDOF Models for Analyzing Two-Way Reinforced Concrete Panels under Blast Loading
Publication: Journal of Performance of Constructed Facilities
Volume 24, Issue 4
Abstract
The combined manual TM 5-1300/NAVFAC P-397/AFR 88-22, Structures to Resist the Effects of Accidental Explosions, published by the joint departments of the Army, the Navy, and the Air Force, has been used in all NATO countries for the past 50 years for protective design applications. The manual was recently reformatted to meet the Department of Defense Unified Facility Criteria (UFC). As a first step, the current production of the new document, UFC 3-340-02, focused on making the original TM 5-1300 available in a more functional format so that future technical updates can be facilitated. In this study, a single-degree-of-freedom (SDOF) model, based on the guidelines of the UFC 3-340-02, was used to formulate a FORTRAN code to predict the response of SDOF systems under blast. The code was used to generate pressure-impulse diagrams for a series of two-way reinforced concrete (RC) panels with different dimensions, aspect and reinforcement ratios, and support conditions. The diagram predictions were compared to the results of experimentally validated nonlinear explicit finite-element (FE) analyses and significant differences in deflection and shear predictions were observed. The general trend of results and the major characteristics of the diagrams were discussed in terms of the discrepancies between the SDOF and the FE predictions. The work presented in this paper is expected to contribute to improving the modeling provisions of the two-way RC panels in the future edition of the UFC 3-340-02 by understanding the limitations of SDOF models using advanced FE analysis techniques.
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Acknowledgments
This study forms a part of an ongoing research program in McMaster University Centre for Effective Design of Structures (CEDS) funded through the Ontario Research and Development Challenge Fund (ORDCF), of The Ministry of Research and Innovation (MRI). The financial support of the Centre is appreciated.
References
ASCE. (1999). Structural design for physical security—State of the practice, E. J. Conrath, et al., eds., ASCE, Reston, Va.
Baker, W. E., Cox, P. A., Westine, P. S., Kulesz, J. J., and Strehlow, R. A. (1983). Explosion hazards and evaluation, Elsevier Scientific, New York.
Beshara, F. B. A. (1994). “Modeling of blast loading on aboveground structures-I. General phenomenology and external blast.” Comput. Struct., 51(5), 597–606.
Biggs, J. M. (1964). Introduction to structural dynamics, McGraw-Hill, New York.
Bischoff, P. H., and Perry, S. H. (1991). “Compressive Behavior of Concrete at High Strain Rates.” Mater. Struct., 24, 425–450.
Braestrup, M. W. (1980). “Dome effect in RC slabs: Rigid plastic analysis.” J. Struct. Div., 15501, 1237–1253.
Christensen, K. P. (1963). “The effect of the membrane stresses of the ultimate strength of interior panel in a reinforced concrete slab.” Struct. Eng., 41(8), 261–265.
Comité Euro-International du Béton (CEB). (1988). “Concrete structures under impact and impulsive loading.” CEB Bulletin 187, Lausanne, Switzerland.
Cowper, G., and Symonds, P. (1957). “Strain-hardening and strain-rate effects in the impact loading of cantilever beams.” Technical Rep. 28, Brown Univ., Div. of Applied Mathematics, Providence, R.I.
Department of Defense (DOD). (2003). “Unified facilities criteria UFC-DOD minimum antiterrorism standards for buildings.” UFC 4-010-01, Washington, D.C.
Department of Defense (DOD). (2005). “Unified facilities criteria UFC-DOD design of buildings to resist progressive collapse.” UFC 4-023-03, Washington, D.C.
Department of Defense (DOD). (2008). “Unified facilities criteria UFC-DOD structures to resist the effects of accidental explosions.” UFC 3-340-02, Washington, D.C.
Ebeling, R. M., Green, R. A., and French, S. E. (1997). “Accuracy of response of single-degree-of-freedom systems to ground motion.” Technical Rep. ITL-97-7, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss.
El-Dakhakhni, W. W., Changiz-Rezaei, S. H., Mekky, W. F., and Razaqpur, A. G. (2009). “Response sensitivity of blast-loaded RC structures to the number of degrees of freedom.” Can. J. Civ. Eng., 36, 1305–1320.
Eyre, J. R. (1997). “Directs assessment of safe strengths of RC slabs under membrane action.” J. Struct. Eng., 123(10), 1331–1338.
Hyde, D. W. (1990). “Conventional weapons effects.” (ConWep), a computer software, U.S. Army Waterways Experimental Station, Vicksburg, Miss.
Janas, M. (1968). “Large plastic deformations of reinforced concrete slabs.” Int. J. Solids Struct., 4, 61–74.
Jones, L. L., and Wood, R. H. (1967). Yield-line analysis of slabs, Thames and Hudson, London.
Kirkpatrick J., Long A. E., Rankin GIB. (1986). “The influence of compressive membrane action on serviceability of beam and slab bridge decks.” Struct. Eng., 64B(1), 6–9.
Kulkarni, S. M., and Shah, S. P. (1998). “Response of reinforced concrete beams at high strain rates.” ACI J., 95(6), 705–715.
Livermore Software Technology Corp. (2008). LS-DYNA, v. 971, keyword user’s manual, Livermore, Calif.
Malvar, L., Crawford, J., and Morrill, K. (2000). “K&C concrete material model, Release III: Automated generation of material model input.” Rep. TR-99-24, Karagozian and Case Structural Engineers, Burbank, Calif.
Malvar, L., and Simons, D. (1996). “Concrete material modeling in explicit computations.” Proc., Workshop on Recent Advances in Computational Structural Dynamics and High Performance Computing, USAE Waterways Experiment Station, Vicksburg, Miss., 165–194.
Malvar, L. J. (1998). “Review of static and dynamic properties of steel reinforcing bars.” ACI J., 95(5), 609–616.
Malvar, L. J., Crawford, J. E., Weswwich, J. W., and Simons, D. (1997). “A plasticity concrete material model For DYNA-3D.” Int. J. Impact Eng., 19, 847–873.
Malvar, L. J., and Ross, C. A. (1998). “Review of strain rate effects for concrete in tension.” ACI J., 95(6), 735–739.
Mays, G. C., and Smith, P. D. (1995). Blast effects on buildings: Design of buildings to optimize resistance to blast loading, Thomas Telford, New York.
Morison, C. M. (2006). “Dynamic response of walls and panels by single-degree-of-freedom analysis—A critical review and revision.” Int. J. Impact Eng., 32, 1214–1247.
Park, R., and Gamble, W. L. (1999). Reinforced concrete slabs, Wiley, New York.
Rankin, G. I. B., and Long, A. E. (1997). “Arching action strength enhancement in laterally restrained slabs.” Proc. Inst. Civ. Eng., Struct. Build., 122, 461–467.
Razaqpur, A. G., Mekky, W., El-Dakhakhni, W. W., Tolba, A., and Contestabile, E. (2006). “Numerical analysis of the response of blast loaded GFRP retrofitted concrete slabs.” 1st Specialty Conf. on Disaster Mitigation, Canadian Society for Civil Engineering, Calgary, Alta., Canada.
Shi, Y. Hao, H., and Li, Z. (2008). “Numerical derivation of pressure–Impulse diagrams for prediction of RC column damage to blast loads.” Int. J. Impact Eng., 35, 1213–1227.
Soroushian, P., and Choi, K. (1987). “Steel mechanical properties at different strain rates.” J. Struct. Eng., 113(4), 663–672.
Subbaraj, K., and Dokainish, M. A. (1989). “A survey of direct time-integration methods in computational structural dynamics-II. Implicit methods.” Comput. Struct., 32(6), 1387–1401.
Taylor, S. E., Rankin, G. I. B., and Cleland, D. J. (2001). “Arching action in high strength concrete slabs.” Proc. Inst. Civ. Eng., Struct. Build., 146(4), 353–362.
Toutlemonde, B., and Boulay, M. (1993a). “Dynamic failure modes of concrete slabs: experimental evidence and questions.” Structural concrete slabs under impulsive loads, T. Krauthammer, ed., Research Library, U. S. Army Engineer Waterways Experiment Station, Vicksburg, Miss., 69–78.
Toutlemonde, B., and Boulay, M. (1993b). “Shock-tube tests of concrete slabs.” Mater. Struct., 26, 38–42.
U.S. Air Force. (1962). “Design of protective structures to resist the effects of nuclear weapons.” TDR-62-138, Washington, D.C.
U.S. Air Force Engineering Services Lab. (1989). “Protective construction design manual.” ESL-TR-87-57, Tyndall Air Force Base, Fla.
U.S. Air Force Weapons Laboratory. (1970). “Protection from non-nuclear weapons” AFWL RT-70-127, Kirtland AFB, N.M.
U.S. Air Force Weapons Laboratory. (1974). “The air force manual for design and analysis of hardened structures.” AFWL-TR-74-102, Kirtland AFB, N.M.
U.S. Dept. of the Army. (1957). “Design of structures to resist the effects of atomic weapons—Principals of dynamic analysis and design.” EM 1110-345-415, Washington, D.C.
U.S. Dept. of the Army. (1965). “Fundamentals of protective design (non-nuclear).” TM 5-855-1, Washington, D.C.
U.S. Dept. of the Army. (1969). “Structures to resist the effects of accidental explosions.” TM 5-1300, Washington, D.C.
U.S. Dept. of the Army. (1986). “Fundamentals of protection of structures for conventional weapons.” TM 5-855-1, Washington, D.C.
U.S. Dept. of the Army. (1990). “Structures to resist the effects of accidental explosions.” TM 5-1300, Washington, D.C.
U.S. Dept. of State. (1990). Simplified computer model of air blast effects on building walls, Office of Diplomatic Security, Washington, D.C.
Watson, A. (1993). “Experimental analysis in the laboratory and in the field: Approaches, observations, needs.” Structural concrete slabs under impulsive loads, T. Krauthammer, ed., Research Library, U.S. Army Engineer Waterways Experiment Station, Vicksburg, Miss., 81–96.
Information & Authors
Information
Published In
Journal of Performance of Constructed Facilities
Volume 24 • Issue 4 • August 2010
Pages: 311 - 325
Copyright
© 2010 ASCE.
History
Received: Feb 9, 2009
Accepted: Aug 22, 2009
Published online: Sep 11, 2009
Published in print: Aug 2010
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