Measures of Structural Redundancy in Reinforced Concrete Buildings. II: Redundancy Response Modification Factor
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Structural Engineering
Volume 130, Issue 11
Abstract
The effects of the element ductility capacity, the flexibility of beams (in terms of the beam span-to-beam depth ratio), the flexibility of columns (in terms of column slenderness ratio), and the level of gravity loads on the structural redundancy of plane frames are studied. A simplified expression to evaluate the redundancy response modification factor and account for the effects of plan and vertical irregularity on the strength of framing systems in a direct and scientific manner is presented. The required parameters involved in the expression can be obtained from a nonlinear pushover analysis of a structure. The redundancy response modification factor is evaluated for a group of two-dimensional frames with 3, 5, and 7 stories and 1, 2, 4, and 6 bays. Finally a simplified expression for the reliability or safety index is formulated and applied to the same group of structures.
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References
1.
Applied Technology Council (ATC). (1978). “Tentative provisions for the development of seismic regulations for buildings.” Rep. No. ATC-3-06, Redwood City, Calif.
2.
Ellingwood, B., Galambos, T. V., MacGregor, J. C., and Cornell, C. A. ( 1980). “Development of probability based load criteria for American National Standard A58.” NBS Special Publication No. 577, National Bureau of Standards, US Department of Commerce, Washington, D.C.
3.
Federal Emergency Management Agency (FEMA). (1997). “NEHRP guidelines for the seismic rehabilitation of buildings.” Rep. FEMA 273 (Guidelines) and 274 (Commentary), Washington, D.C.
4.
Federal Emergency Management Agency (FEMA). (2000). “NEHRP recommended provisions for seismic regulations for new buildings and other structures.” Rep. FEMA 368 (Provisions) and 369 (Commentary), Washington, D.C.
5.
Gollwitzer, S., and Rackwitz, R. (1990). “On the reliability of Daniels systems.” Struct. Safety, 7, 229–243.
6.
Grigoriou, M., and Turkstra, C. (1979). “Safety of structural systems with correlated resistances.” Appl. Math. Model., 3(4), 130–136.
7.
Hasofer, A. M., and Lind, N. (1974). “Exact and invariant second-moment code format.” J. Eng. Mech., 100(1), 111–121.
8.
Husain, M.M. ( 2000). “Seismic redundancy of R/C framed structures.” doctoral dissertation, Department of Civil Engineering, The Catholic University of America, Washington, D.C.
9.
Husain, M., and Tsopelas, P. (2004). “Measures of structural redundancy in R/C buildings. I: Redundancy indices.” J. Struct. Eng., 130(11), 1651–1658.
10.
Hwang, H., and Shinozuka, M. ( 1994). “Effect of large earthquakes on the design of buildings in eastern United States.” Proc., 5th U.S. National Conf. On Earthquake Engineering, EERI, Oakland, Calif.
11.
International Building Code (IBC). (2000). Int. Conf. of Building Officials, Whittier, Calif.
12.
Krawinkler, H., and Nassar, A.A. ( 1992). “Seismic design based on ductility and cumulative damage demands and capacities.” Nonlinear seismic analysis and design of reinforced concrete buildings, P. Fajfar and H. Krawinkler, eds., Elsevier Applied Science, New York.
13.
Miranda, E. (1993). “Site-dependent strength-reduction factors.” J. Struct. Eng., 119(12), 3503–3519.
14.
Miranda, E., and Bertero, V. V. (1994). “Evaluation of strength reduction factors for earthquake-resistant design.” Earthquake Spectra, 10(2), 357–379.
15.
Newmark, N., and Hall, W.J. ( 1982). Earthquake spectra and design, EERI, Oakland, Calif.
16.
Nowak, A.S., and Collins, K.R. ( 2000). Reliability of structures, McGraw-Hill, New York.
17.
Osteraas, J.D., and Krawinkler, H. ( 1990). “Strength and ductility considerations in seismic design.” Rep. 90, John A. Blume Earthquake Enineering Center, Stanford University, Stanford, Calif.
18.
Riddell, R., Hidalgo, P., and Cruz, E. (1989). “Response modification factors for earthquake resistant design of short period structures.” Earthquake Spectra, 5(3), 571–590.
19.
Structural Engineers Association of California (SEAOC). (1996). Recommended lateral force requirements and commentary, 6th Ed., SEAOC, Sacramento, Calif.
20.
Thoft-Christensen, P., and Sorensen, J. D. (1982). “Reliability of structural systems with correlated elements.” Appl. Math. Model., 6(6), 171–178.
21.
Uang, C.-M. (1991). “Establishing (or ) and factors for building seismic provisions.” J. Struct. Eng., 117(1), 19–28.
22.
Uang, C.-M., and Bertero, V.V. ( 1986). “Earthquake simulation tests and associated studies of a 0.3-scale model of a six-story concentrically braced steel structure.” Rep. No. UCB/EERC-86/10, University of California, Berkeley, Calif.
23.
Uniform Building Code (UBC). (1997). Int. Conf. of Building Officials, Whittier, Calif.
24.
Wang, C.-H., and Wen, Y.-K. (2000). “Evaluation of pre-Northridge low-rise steel buildings. II: Reliability.” J. Struct. Eng., 126(10), 1169–1176.
25.
Whittaker, A. S., Hart, G., and Rojahn, C. (1999). “Seismic response modification factors.” J. Struct. Eng., 125(4), 438–444.
26.
Whittaker, A.S., Uang, C.-M., and Bertero, V.V. ( 1987). “Earthquake simulation tests and associated studies of a 0.3-scale model of a six-story eccentrically braced steel structure.” Rep. No. UCB/EERC-87/02, University of California, Berkeley, Calif.
27.
Whittaker, A.S., Uang, C.-M., and Bertero, V.V. ( 1988). “An experimental study of the behavior of dual steel systems.” Rep. No. UCB/EERC-88/14, University of California, Berkeley, Calif.
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Published In
Journal of Structural Engineering
Volume 130 • Issue 11 • November 2004
Pages: 1659 - 1666
Copyright
Copyright © 2004 ASCE.
History
Published online: Oct 15, 2004
Published in print: Nov 2004
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