REVISION OF THE MINIMUM BASE SHEAR FORCE REQUIREMENT FOR TALL BUILDINGS LOCATED IN MEXICO CITY
DOI:
https://doi.org/10.18867/ris.111.647Keywords:
minimum base shear force; dynamic instability; cyclic strength degradation; P-Delta effectsAbstract
An evaluation of the minimum base shear force (MBSF) requirement of the Complementary Technical Standards for Earthquake Design (NTC-Sismo, 2020) is presented. The evaluation consists of generating dynamic instability spectra for different sites in Mexico City and comparing them with their corresponding design spectra. Dynamic instability is evaluated in terms of the collapse strength reduction factor, Rc, which relates the ordinates of an elastic spectrum of pseudoacceleration to the minimum lateral resistance that allows a single-degree-of-freedom (SDOF) model to remain stable under a given ground motion. In the study of Rc, three hysteretic models with trilinear force-displacement envelope, cyclic strength degradation and P-Delta effects are considered. Through a parametric study, the parameters that most influence the Rc factor for each hysteretic model are identified when subjected to an ensemble to ground motions representative of the earthquakes that occur in Mexico City. Subsequently, the results of the three hysteretic models are compared and the model used in the evaluation of the MBSF is chosen. Finally, the dynamic instability spectra are obtained and compared with their respective design spectra. It is shown that in regular buildings in which the collapse mechanism involves most of its levels, the MBSF is not required.
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References
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Vamvatsikos, D, A Cornell (2002). “Incremental dynamic analysis”. Earthquake Engineering and Structural Dynamics, Vol. 31, No. 3, pp. 491 – 514. DOI: 10.1002/eqe.141
Vian, D, M Bruneau (2003). “Test to structural collapse of single degree of freedom frames subjected to earthquake excitations”. Journal of Structural Engineering, Vol. 129, No. 12, pp 1676 – 1685. DOI: 10.1061/(ASCE)0733-9445(2003)129:12(1676)
Bernal, D (1987). “Amplification factors for inelastic dynamic P-Δ effects in earthquake analysis”. Earthquake Engineering and Structural Dynamics, Vol. 15, No. 5, pp. 635 – 651. DOI: 10.1002/eqe.4290150508
Bernal, D (1992). ”Instability of buildings subjected to earthquakes”. Journal of Structural Engineering, Vol. 118, No. 8, pp. 2239 – 2260. DOI: 10.1061/(ASCE)0733-9445(1992)118:8(2239)
Bernal, D (1998). “Instability of buildings during seismic response”. Engineering Structures, Vol. 20, No. 4-6, pp 496 – 502. DOI: 10.1016/S0141-0296(97)00037-0
EC8 (2004). Design of structures for earthquake resistance – Part 1: General rules, seismic actions and rules for buildings (EN 1998-1). Eurocódigo 8, Comité Europeo de Normalización, CEN, Bruselas.
Elwood, K J (2002). “Shake table test and analytical studies on the gravity load collapse of reinforced concrete frames”, Tesis de doctorado, Department of Civil and Environmental Engineering, University of California, Berkeley.
FEMA-P695 (2008). “Quantification of building seismic performance factors”. Federal Emergency Management Agency, Washington, EUA.
Gatto, K, CM Uang (2003), “Effects of loading protocolo n the cyclic response of woodframe shearwalls”, Journal of Structural Engineering, Vol. 129, No. 10, pp 1384-1393. DOI: 10.1061/(ASCE)0733-9445(2003)129:10(1384)
Ibarra, L y H Krawinkler (2005), “Global collapse of frame structures under seismic excitations”, Report No. 152, The John A. Blume Earthquake Engineering Research Center, Departament of Civil and Environmental Engineering, Stanford University.
Ibarra, L, R Medina, H Krawinkler (2005). “Hysteretic models that incorporate strength and stiffness deterioration”. Earthquake Engineering and Structural Dynamics, Vol. 34, No. 12, pp 1489 – 1511. DOI: 10.1002/eqe.495
Inoue, K, T Asari, Y Ishiyama (2000), “Lateral stiffness-strength distribution and damage concentration along the height of a building”, Proceedings of the 12th World Coference on Earthquake Engineering, Upper Hutt, New Zealand, Paper No. 1764.
Lignos, D, H Krawinkler (2012), “Sidesway collapse of deteriorating structural systems under seismic excitations”, Report No. 177, The John A. Blume Earthquake Engineering Research Center, Departament of Civil and Environmental Engineering, Stanford University.
Lu, X, X Z Lu, L P Ye y M K Li (2014), “Influence of minimum base shear force on the collapse resistance of super-tall buildings”, Proceedings of the 10th National Confeerence on Earthquake Engineering, Earthquake Engineering Research Institute, Anchorage, Alaska.
Lu, X, X Lu, H Guan y L Xie (2016), “Application of earthquake-induced collapse analysis in design optimization of a supertall building”, Structural Design of Tall and Special Buildings, Vol. 25, pp 926-946. DOI: 10.1002/tal.1291
Miranda, E (1993). “Site-dependent strength-reduction factors”. Journal of Structural Engineering, Vol. 119, No. 12, pp 3503 – 3519. DOI: 10.1061/(ASCE)0733-9445(1993)119:12(3503)
Miranda, E, S Akkar (2003). “Dynamic instability of simple structural systems”. Journal of Structural Engineering, Vol. 129, No. 12, pp. 1722 – 1726. DOI: 10.1061/(ASCE)0733-9445(2003)129:12(1722)
Miranda, E, J Ruíz-García (2002). “Influence of stiffness degradation on strength demands of structures built on soft soil sites”. Engineering Structures, Vol. 24, No. 10, pp 1271 – 1281. DOI: 10.1016/S0141-0296(02)00052-4
Nassar, A, H Krawinkler (1991). “Seismic demands for SDOF and MDOF sysems”. Report No. 95, Blume Earthquake Engineering Research Center, Departament of Civil and Environmental Engineering, Stanford University.
NTC-Sismo (2020). Normas Técnicas Complementarias para Diseño por Sismo con Comentarios. Gaceta Oficial de la Ciudad de México, Vigésima Primera Época, No. 361.
PEER-2010/05 (2010). Guidelines for performance-based seismic design of tall buildings. Pacific Earthquake Engineering Research Center, University of California, Berkeley, California.
Rahnama, M y H Krawinkler (1993). “Effects of soils and hysteresis model on seismic demands”. Report No. 108, The John A. Blume Earthquake Engineering Research Center, Departament of Civil and Environmental Engineering, Stanford University.
Ruíz-García, J, O Domínguez-Sólorzano (2021). “Collapse strength ratios for weak first-story buildings under soft soil intraslab earthquakes”. Soil Dynamics and Earthquake Engineering, Vol. 151. DOI: 10.1016/j.soildyn.2021.107004
Sezen, H (2000). “Evaluation and testing of existing reinforced concrete building columns”. CE299 Report, University of California, Berkeley.
Sun, C, G Berg, R Hanson (1973), “Gravity effect on single-degree inelastic systems”. Journal of Engineering Mechanics, Vol. 99, No. 1, pp 183-200. DOI: 10.1061/JMCEA3.0001720
Vamvatsikos, D, S Akkar, E Miranda (2009). “Strength reduction factors for the dynamic instability of oscillators with non-trivial backbones”. Proceedings of the 2nd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2009), Paper No. CD450, Island of Rhodes, Greece.
Vamvatsikos, D, A Cornell (2002). “Incremental dynamic analysis”. Earthquake Engineering and Structural Dynamics, Vol. 31, No. 3, pp. 491 – 514. DOI: 10.1002/eqe.141
Vian, D, M Bruneau (2003). “Test to structural collapse of single degree of freedom frames subjected to earthquake excitations”. Journal of Structural Engineering, Vol. 129, No. 12, pp 1676 – 1685. DOI: 10.1061/(ASCE)0733-9445(2003)129:12(1676)
Published
2024-03-20
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Nuñez Quiroz, L., & Terán Gilmore, A. (2024). REVISION OF THE MINIMUM BASE SHEAR FORCE REQUIREMENT FOR TALL BUILDINGS LOCATED IN MEXICO CITY. Journal Earthquake Engineering, (111). https://doi.org/10.18867/ris.111.647
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