Evaluation of the P-Delta Effect on Collapse Capacity of Adjacent Structures Subjected to Far-field Ground Motions

Farzin Kazemi, Benyamin Mohebi, Mansoor Yakhchalian


In urban areas, adjacent structures can be seen in any insufficient distance from each other, because of economic reasons and refusal of acquired minimum separation distance according to seismic previsions. Collapse capacity assessment of structures is one of the important objectives of performance-based seismic engineering. The purpose of this study is to consider the pounding phenomenon and P-Delta effect in seismic collapse capacity assessment of structures. For this purpose, 2-, 4-, 6- and 8-story adjacent structures with different conditions of separation distance among them, were modeled in the OpenSees software. Furthermore, Incremental Dynamic Analyses (IDAs) were performed using 78 far-field ground motion records to compute the collapse capacities of adjacent structures. The results obtained from IDAs for adjacent structures show that during pounding, taller structure reaches its collapse capacity earlier than shorter one. In addition, by considering the P-Delta effect and increasing the distance between adjacent structures, time of collapse and number of impacts increases. According to results, considering the P-Delta effect in modeling has significant influence in seismic collapse capacity assessment of pounding structures.


P-Delta Effect; Collapse Capacity; Pounding Phenomenon; Linear Viscoelastic Element; Incremental Dynamic Analysis.


Jennings, Paul C., and Raul Husid. "Collapse of yielding structures during earthquakes." Journal of Engineering Mechanics (1968): doi: 10.1016/b978-0-12-812975-3.15004-2.

Bernal, Dionisio. "Instability of buildings subjected to earthquakes." Journal of Structural Engineering 118.8 (1992): 2239-2260: doi: 10.1061/0733-9445(1992)118:8(2239).

MacRae, Gregory A. "P-Δ effects on single-degree-of-freedom structures in earthquakes." Earthquake Spectra 10.3 (1994): 539-568: doi: 10.1193/1.1585788.

Bernal, Dionisio. "Instability of buildings during seismic response." Engineering Structures 20.4-6 (1998): 496-502: doi: 10.1016/s0141-0296(97)00037-0.

MacRae, Gregory A. "P-Δ effects on single-degree-of-freedom structures in earthquakes." Earthquake Spectra 10.3 (1994): 539-568: doi: 10.1193/1.1585788.

Lignos, D. G., H. Krawinkler, and A. S. Whittaker. "Prediction and validation of sideway collapse of two scale models of a 4‐story steel moment frame." Earthquake Engineering & Structural Dynamics 40.7 (2011): 807-825: doi: 10.1002/eqe.1061.

Adam, Christoph, and Clemens Jäger. "Seismic collapse capacity of basic inelastic structures vulnerable to the P‐delta effect." Earthquake Engineering & Structural Dynamics 41.4 (2012): 775-793: doi: 10.1002/eqe.1157.

Black, E. F. "Use of stability coefficients for evaluating the P–Δ effect in regular steel moment resisting frames." Engineering Structures 33.4 (2011): doi: 1205-1216. 10.1016/j.engstruct.2011.09.011.

Tsantaki, Styliani, Christoph Adam, and Luis F. Ibarra. "Intensity measures that reduce collapse capacity dispersion of P-delta vulnerable simple systems." Bulletin of Earthquake Engineering 15.3 (2017): doi: 1085-1109. 10.1007/s10518-016-9994-4.

Adam, Christoph, et al. "Optimal Spectral Acceleration-based Intensity Measure for Seismic Collapse Assessment of P-Delta Vulnerable Frame Structures." Journal of Earthquake Engineering 21.7 (2017): doi: 1189-1195. 10.1080 /13632469.2016.1210059.

Yakhchalian, M., Gholamreza Ghodrati Amiri, and Mahdi Eghbali. “Reliable Seismic Collapse Assessment of Short-Period Structures Using New Proxies for Ground Motion Record Selection.” Scientia Iranica 0, no. 0 (August 13, 2017): 0–0. doi:10.24200/sci.2017.4162.

Yakhchalian, Masood, Gholamreza Ghodrati Amiri, and Ahmad Nicknam. “A New Proxy for Ground Motion Selection in Seismic Collapse Assessment of Tall Buildings.” The Structural Design of Tall and Special Buildings 23, no. 17 (November 20, 2013): 1275–1293. doi:10.1002/tal.1143.

Belleri, Andrea, et al. "A Novel Framework to Include P-Δ Effects in Displacement-Based Seismic Assessment." Journal of Earthquake Engineering 21.3 (2017): doi: 486-492. 10.1080/13632469.2016.1178193.

Ucar, Taner, and Onur Merter. "Derivation of energy-based base shear force coefficient considering hysteretic behavior and P-delta effects." Earthquake Engineering and Engineering Vibration 17.1 (2018): doi: 149-163. 10.1007 /s11803-018-0431-3.

Adam, Christoph, and Clemens Jäger. "Simplified collapse capacity assessment of earthquake excited regular frame structures vulnerable to P-delta." Engineering Structures 44 (2012): doi: 159-173. 10.1016/j.engstruct.2012.05. 036.

Gharyanpoor, Zeynab, Benyamin Mohebi, and Mansoor Yakhchalian. “COLLAPSE CAPACITY PREDICTION OF SDOF SYSTEMS EQUIPPED WITH FLUID VISCOUS DAMPERS.” Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2017) doi:10.7712/120117.5705.18225.

Madani, B., F. Behnamfar, and H. Tajmir Riahi. "Dynamic response of structures subjected to pounding and structure–soil–structure interaction." Soil Dynamics and Earthquake Engineering 78 (2015): doi: 46-60. 10.1016 /j.soildyn.2015.07.002.

McKenna, F., et al. "Open system for earthquake engineering simulation (OpenSees). Berkeley: Pacific Earthquake Engineering Research Center, University of California; 2005." (2016): doi: 1-17.10.1109/mcse.2011.66.

Jankowski, Robert, and Sayed Mahmoud. Earthquake-induced structural pounding. Springer, 2016. doi: 10.1007/ 978-3-319-16324-6_2.

Jankowski, Robert. "Non‐linear viscoelastic modelling of earthquake‐induced structural pounding." Earthquake engineering & structural dynamics 34.6 (2005): doi: 595-611. 10.1002/eqe.434.

Rahman, A. M., A. J. Carr, and P. J. Moss. "Seismic pounding of a case of adjacent multiple-storey buildings of differing total heights considering soil flexibility effects." Bulletin of the New Zealand National Society for Earthquake Engineering 34.1 (2001): 40-59. doi: 10.12989/eas.2001.1.3.307.

Altoontash, Arash. Simulation and damage models for performance assessment of reinforced concrete beam-column joints. Diss. Stanford University, 2004. doi: 10.5772/65490.

American Society of Civil Engineers. Minimum design loads for buildings and other structures. Vol. 7. Amer Society of Civil Engineers, 2010. doi: 10.1061/9780784412916.err.

Haselton, Curt B. "Assessing Seismic Collapse Safety of Modern Reinforced Concrete Moment Frame Buildings." Stanford University. (2006): doi: 10.1061/40944(249)22.

Vamvatsikos, Dimitrios, and C. Allin Cornell. "Incremental dynamic analysis." Earthquake Engineering & Structural Dynamics 31.3 (2002): doi: 491-514. 10.1007/978-3-642-36197-5_136-1.

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DOI: 10.28991/cej-0309156


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