Implications of Importance Factor on Seismic Design from 2000 SAC-FEMA Perspective
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 6, Issue 2
Abstract
The seismic design of buildings uses global ductility factor and occupancy importance factor () as two major fixed parameters in defining the safety of the structure. The study of performance variation of the structure with global ductility factor is available but there is hardly any study that provides information regarding the increase in the level of safety achieved by increasing the values. Being a building categorical dependent parameter, is used by the international seismic design codes for increasing the design loads of the structure. The change in the level of safety achieved through the variation in the value of the s for reinforced concrete (RC)–framed buildings will perhaps be an important and useful representation of the stakeholders for the approximate damage cost estimation. This article performs the structural safety assessment against seismic load using a standard structural reliability method with second-order hazard approximation to evaluate the effect of the on the level of safety and the cost associated with the building. Results show that an overall reduction of 50%–60% in the damage index of the selected buildings can be achieved by increasing the from a value of 1.0–2.0 with a consequent increase in the cost of the building.
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Data Availability Statement
Some data, models, or codes generated or used during the study are available from the corresponding author by request (OpenSEES modeling files and generated outputs).
References
Allahvirdizadeh, R., M. Khanmohammadi, and M. S. Marefat. 2017. “Probabilistic comparative investigation on introduced performance-based seismic design and assessment criteria.” Eng. Struct. 151 (Nov): 206–220. https://doi.org/10.1016/j.engstruct.2017.08.029.
Ang, A. S., and D. De Leon. 1997. “Determination of optimal target reliabilities for design and upgrading of structures.” Struct. Saf. 19 (1): 91–103. https://doi.org/10.1016/S0167-4730(96)00029-X.
ASCE. 2016. Minimum design loads for buildings and other structures. ASCE/SEI 7. Reston, VA: ASCE.
ATC (Applied Technology Council). 2012. Guidelines for seismic performance assessment of buildings. ATC 58. Redwood City, CA: ATC.
Azarbakht, A., and M. Dolšek. 2011. “Progressive incremental dynamic analysis for first-mode dominated structures.” J. Struct. Eng. 137 (3): 445–455. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000282.
Bakhshi, A., and P. Asadi. 2013. “Probabilistic evaluation of seismic design parameters of RC frames based on fragility curves.” Sci. Iranica 20 (2): 231–241. https://doi.org/10.1016/j.scient.2012.11.012.
Barron, R., A. Reinhorn, and A. Ayala. 2001. Spectral evaluation of seismic fragility of structures. Buffalo, NY: Multidisciplinary Center for Earthquake Engineering Research.
Benjamin, J. R., and C. A. Cornell. 2014. Probability, statistics, and decision for civil engineers. Mineola, NY: Courier Corporation.
Bhosale, A. S., R. Davis, and P. Sarkar. 2017. “Vertical irregularity of buildings: Regularity index versus seismic risk.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 3 (3): 04017001. https://doi.org/10.1061/AJRUA6.0000900.
Bhosale, A. S., R. Davis, and P. Sarkar. 2018. “Seismic safety of vertically irregular buildings: Performance of existing indicators.” J. Archit. Eng. 24 (3): 04018013. https://doi.org/10.1061/(ASCE)AE.1943-5568.0000319.
BIS (Bureau of Indian Standards). 2016a. Ductile detailing of reinforced concrete structures subjected to seismic forces—Code of practice. IS 13920. New Delhi, India: BIS.
BIS (Bureau of Indian Standards). 2016b. Indian standard criteria for earthquake resistant design of structures. IS 1893. New Delhi, India: BIS.
Bojórquez, J., S. E. Ruiz, B. Ellingwood, A. Reyes-Salazar, and E. Bojórquez. 2017. “Reliability-based optimal load factors for seismic design of buildings.” Eng. Struct. 151 (Nov): 527–539. https://doi.org/10.1016/j.engstruct.2017.08.046.
Brunesi, E., R. Nascimbene, F. Parisi, and N. Augenti. 2015. “Progressive collapse fragility of reinforced concrete framed structures through incremental dynamic analysis.” Eng. Struct. 104 (Dec): 65–79. https://doi.org/10.1016/j.engstruct.2015.09.024.
BSI (British Standards Institution). 2004. Eurocode 8: Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings. BS EN 1998-1. London: BSI.
Canadian Building Code Act. 1992. “SO 1992, c 23, O Reg 332/12.” Accessed March 15, 2016. https://www.ontario.ca/laws/regulation/120332.
Celik, O. C., and B. R. Ellingwood. 2009. “Seismic risk assessment of gravity load designed reinforced concrete frames subjected to mid-America ground motions.” J. Struct. Eng. 135 (4): 414–424. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:4(414).
Celik, O. C., and B. R. Ellingwood. 2010. “Seismic fragilities for non-ductile reinforced concrete frames—Role of aleatoric and epistemic uncertainties.” Struct. Saf. 32 (1): 1–12. https://doi.org/10.1016/j.strusafe.2009.04.003.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. A. Foutch. 2002. “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
Davis, P. R., K. T. Padhy, D. Menon, and A. M. Prasad. 2010. “Seismic fragility of open ground storey buildings in India.” In Proc., 9th US National and 10th Canadian Conf. on Earthquake Engineering. Oakland, CA: Earthquake Engineering Research Institute.
Dhir, P. K., R. Davis, and P. Sarkar. 2018. “Safety assessment of gravity load—designed reinforced concrete—framed buildings.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (2): 04018004. https://doi.org/10.1061/AJRUA6.0000955.
Dolsek, M. 2009. “Incremental dynamic analysis with consideration of modeling uncertainties.” Earthquake Eng. Struct. Dyn. 38 (6): 805–825. https://doi.org/10.1002/eqe.869.
Ellingwood, B. R. 2001. “Earthquake risk assessment of building structures.” Reliab. Eng. Syst. Saf. 74 (3): 251–262. https://doi.org/10.1016/S0951-8320(01)00105-3.
Ellingwood, B. R., O. C. Celik, and K. Kinali. 2007. “Fragility assessment of building structural systems in Mid-America.” Earthquake Eng. Struct. Dyn. 36 (13): 1935–1952. https://doi.org/10.1002/eqe.693.
Ellingwood, B. R., and Y. K. Wen. 2005. “Risk-benefit-based design decisions for low-probability/high consequence earthquake events in Mid-America.” Prog. Struct. Mater. Eng. 7 (2): 56–70. https://doi.org/10.1002/pse.191.
Ergün, A., N. Kıraç, and V. Başaran. 2015. “The evaluation of structural properties of reinforced concrete building designed according to pre-modern code considering seismic performance.” Eng. Fail. Anal. 58 (Part 1): 184–191. https://doi.org/10.1016/j.engfailanal.2015.09.003.
Esteva, L., D. Campos, and O. Diaz-Lopez. 2011. “Life-cycle optimisation in earthquake engineering.” Struct. Infrastruct. Eng. 7 (1–2): 33–49. https://doi.org/10.1080/15732471003588270.
Esteva, L., O. D1az-Lopez, J. Garcıa-Perez, G. Sierra, and E. Ismael. 2002. “Life-cycle optimization in the establishment of performance-acceptance parameters for seismic design.” Struct. Saf. 24 (2–4): 187–204. https://doi.org/10.1016/S0167-4730(02)00024-3.
Ferracuti, B., R. Pinho, M. Savoia, and R. Francia. 2009. “Verification of displacement-based adaptive pushover through multi-ground motion incremental dynamic analyses.” Eng. Struct. 31 (8): 1789–1799. https://doi.org/10.1016/j.engstruct.2009.02.035.
Filippou, F. C., V. V. Bertero, and E. P. Popov. 1983. Effects of bond deterioration on hysteretic behavior of reinforced concrete joints. Berkeley, CA: College of Engineering, Univ. of California Berkeley.
Filippou, F. C., A. d’Ambrisi, and A. Issa. 1992. Nonlinear static and dynamic analysis of RC subassemblages. Berkeley, CA: College of Engineering, Univ. of California Berkeley.
García-Pérez, J., F. Castellanos, and O. Díaz. 2005. “Occupancy importance factor in earthquake engineering.” Eng. Struct. 27 (11): 1625–1632. https://doi.org/10.1016/j.engstruct.2005.05.017.
Goda, K., and H. P. Hong. 2006. “Optimal seismic design considering risk attitude, societal tolerable risk level, and life quality criterion.” J. Struct. Eng. 132 (12): 2027–2035. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:12(2027).
Greek Seismic Code. 2000. Technical Chamber of Greece, Greek Government Journal—FEK, 2184. EAK 2000. Athens, Greece: Organisation for Earthquake Resistant Planning and Protection, Ministry of Environment Planning and Public Works.
Haran, P. D. C., A. Bhosale, R. Davis, and P. Sarkar. 2016. “Multiplication factor for open ground storey buildings—A reliability based evaluation.” Earthquake Eng. Eng. Vib. 15 (2): 283–295. https://doi.org/10.1007/s11803-016-0322-4.
Haran, P. D. C., R. Davis, and P. Sarkar. 2015. “Reliability evaluation of RC frame by two major fragility analysis methods.” Asian J. Civ. Eng. 16 (1): 47–66.
Haselton, C. B., A. S. Whittaker, A. Hortacsu, J. W. Baker, J. Bray, and D. N. Grant. 2012. “Selecting and scaling earthquake ground motions for performing response-history analyses.” In Proc., 15th World Conf. on Earthquake Engineering, 4207–4217. London: Earthquake Engineering Research Institute.
Hong, H. P., E. N. Allouche, and M. Trivedi. 2006. “Optimal scheduling of replacement and rehabilitation of water distribution systems.” J. Infrastruct. Syst. 12 (3): 184–191. https://doi.org/10.1061/(ASCE)1076-0342(2006)12:3(184).
Hwang, H. H., and J. R. Huo. 1994. “Generation of hazard-consistent fragility curves.” Soil Dyn. Earthquake Eng. 13 (5): 345–354. https://doi.org/10.1016/0267-7261(94)90025-6.
Iranian Standard. 2007. Iranian code of practice for seismic resistant design of buildings. 3rd ed. Standard No. 2800. Tehran, Iran: Building and Housing Research Center.
Iyengar, R. N., R. K. Chadha, K. B. Rao, and S. T. G. Raghukanth. 2010. Development of probabilistic seismic hazard map of India. New Delhi, India: National Disaster Management Authority.
Kanda, J., and B. Ellingwood. 1991. “Formulation of load factors based on optimum reliability.” Struct. Saf. 9 (3): 197–210. https://doi.org/10.1016/0167-4730(91)90043-9.
Kang, Y. J., and Y. K. Wen. 2000. Minimum life-cycle cost structural design against natural hazards. Urbana, IL: Univ. of Illinois at Urbana-Champaign.
Kent, D. C., and R. Park. 1971. “Flexural members with confined concrete.” J. Struct. Div. 97 (7): 1969–1990.
Kiani, J., and M. Khanmohammadi. 2015. “New approach for selection of real input ground motion records for incremental dynamic analysis (IDA).” J. Earthquake Eng. 19 (4): 592–623. https://doi.org/10.1080/13632469.2014.997901.
Kunnath, S. K. 2006. Application of the PEER PBEE Methodology to the I-880 Viaduct: I-880 Testbed Committee. Berkeley, CA: Pacific Earthquake Engineering Research (PEER) Center, College of Engineering, Univ. of California.
Lee, T. H., and K. M. Mosalam. 2004. “Probabilistic fiber element modeling of reinforced concrete structures.” Comput. Struct. 82 (27): 2285–2299. https://doi.org/10.1016/j.compstruc.2004.05.013.
Loulelis, D. G., G. A. Papagiannopoulos, and D. E. Beskos. 2018. “Modal strength reduction factors for seismic design of steel moment resisting frames.” Eng. Struct. 154 (Jan): 23–37. https://doi.org/10.1016/j.engstruct.2017.10.071.
McKenna, F., G. L. Fenves, and F. C. Filippou. 2010. OpenSees. Berkeley, CA: Univ. of California.
Mosleh, A., H. Rodrigues, H. Varum, A. Costa, and A. Arêde. 2016. “Seismic behavior of RC building structures designed according to current codes.” Structures 7 (Aug): 1–13. https://doi.org/10.1016/j.istruc.2016.04.001.
Mukherjee, S., and V. K. Gupta. 2002. “Wavelet-based generation of spectrum-compatible time-histories.” Soil Dyn. Earthquake Eng. 22 (9–12): 799–804. https://doi.org/10.1016/S0267-7261(02)00101-X.
NBC (Nepal National Building Code). 1994. Seismic design of buildings in Nepal. NBC 105. Kathmandu, Nepal: NBC.
NZS (New Zealand Standard). 2004. Structural design actions, part 5: Earthquake actions—New Zealand. NZS 1170.5. Wellington, NZ: NZS.
Pozos-Estrada, A., T. J. Liu, R. Gomez, and H. P. Hong. 2016. “Seismic design and importance factor: Benefit/cost for overall service time versus per unit service time.” Struct. Saf. 58 (Jan): 40–51. https://doi.org/10.1016/j.strusafe.2015.08.005.
Rackwitz, R. 2000. “Optimization—The basis of code-making and reliability verification.” Struct. Saf. 22 (1): 27–60. https://doi.org/10.1016/S0167-4730(99)00037-5.
Rajeev, P., and S. Tesfamariam. 2012. “Seismic fragilities for reinforced concrete buildings with consideration of irregularities.” Struct. Saf. 39 (Nov): 1–13. https://doi.org/10.1016/j.strusafe.2012.06.001.
Ramamoorthy, S. K., P. Gardoni, and J. M. Bracci. 2006. “Probabilistic demand models and fragility curves for reinforced concrete frames.” J. Struct. Eng. 132 (10): 1563–1572. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:10(1563).
Ranganathan, R. 1999. Structural reliability analysis and design. Mumbai, India: Jaico Publishing House.
Rosenblueth, E. 1976. “Optimum design for infrequent disturbances.” J. Struct. Div. 102 (9): 1807–1825.
Rosenblueth, E. 1987. “What should we do with structural reliabilities.” In Vol. 5 of Proc., ICASP, 24–34. Abingdon, UK: Taylor & Francis.
Rosenblueth, E., and J. M. Jara. 1991. “Design coefficients: Constant versus time dependent seismic.” In Reliability and optimization of structural systems’ 90, 315–327. Berlin: Springer.
Sahu, D., M. Nishanth, P. K. Dhir, P. Sarkar, R. Davis, and S. Mangalathu. 2019. “Stochastic response of reinforced concrete buildings using high dimensional model representation.” Eng. Struct. 179 (Jan): 412–422. https://doi.org/10.1016/j.engstruct.2018.10.083.
Shome, N. 1999. Probabilistic seismic demand analysis of nonlinear structures. Stanford, CA: Stanford Univ.
Vamvatsikos, D. 2013. “Derivation of new SAC/FEMA performance evaluation solutions with second-order hazard approximation.” Earthquake Eng. Struct. Dyn. 42 (8): 1171–1188. https://doi.org/10.1002/eqe.2265.
Vamvatsikos, D., and C. A. Cornell. 2002. “Incremental dynamic analysis.” Earthquake Eng. Struct. Dyn. 31 (3): 491–514. https://doi.org/10.1002/eqe.141.
Vamvatsikos, D., and M. Fragiadakis. 2010. “Incremental dynamic analysis for estimating seismic performance sensitivity and uncertainty.” Earthquake Eng. Struct. Dyn. 39 (2): 141–163. https://doi.org/10.1002/eqe.935.
Wu, D., S. Tesfamariam, S. F. Stiemer, and J. Cui. 2015. “Comparison of seismic performance of a RC frame building before and after the Wenchuan earthquake in Sichuan province.” J. Perform. Constr. Facil. 29 (1): 04014038. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000466.
Zahid, M. Z. A. M., D. Robert, and F. Shahrin. 2013. “An evaluation of overstrength factor of seismic designed low rise RC buildings.” Procedia Eng. 53: 48–51. https://doi.org/10.1016/j.proeng.2013.02.008.
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©2020 American Society of Civil Engineers.
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Received: Dec 23, 2018
Accepted: Sep 16, 2019
Published online: Feb 20, 2020
Published in print: Jun 1, 2020
Discussion open until: Jul 20, 2020
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