Non Linear Static Analysis: Application of Existing Concrete Building

  • A. V. Bergami
  • A. Forte
  • D. Lavorato
  • C. Nuti
Conference paper
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 10)


Recently, as a result of seismic events occurrences in Italy, building safety has become a topic of considerable interest. Most of existing reinforced concrete frame buildings designed for vertical loads only and without construction details, which guarantee ductility and dissipative capacity. Then it is necessary to develop a reliable and practical analysis procedure for professional use.

This is confirmed by intense research activities to identify the capacity and the safety level of existing structures. Between existing approaches, the Incremental Dynamic Analysis (IDA) is considered to be one of the most accurate methods to estimate the seismic demand and capacity of structures. However the executions of many nonlinear response history analyses (NL_RHA) are required, therefore approaches non-linear static analyses based are studying to aim less onerous methods. The research discussed in this paper deals with the proposal of an efficient Incremental Modal Pushover Analysis (IMPA) to obtain capacity curves by replacing the nonlinear response history analysis of the IDA procedure with Modal Pushover Analysis (MPA). Finally, these approaches were applied to an existing case study that is a concrete framed building of strategic relevance.


Modal Pushover Analysis Existing irregular framed building Capacity curve 



This work was partially supported by the Italian Consortium of Laboratories RELUIS, funded by the Italian Federal Emergency Agency, with partial funding from PE 2015–2018, joint program DPC-ReLUIS.


  1. Vamvatsikos D (2002) Seismic performance, capacity and reliability of structures as seen through incremental dynamic analysis. Doctoral Dissertation, Stanford UniversityGoogle Scholar
  2. Vamvatsikos D, Cornell CA (2002) Incremental dynamic analysis. Earthq Eng Struct Dyn 31(3):491–514CrossRefGoogle Scholar
  3. Vamvatisikos D, Cornell CA (2005) Direct estimation of seismic demand and capacity of multi-degree of freedom systems through incremental dynamic analysis of single degree of freedom approximation. J Struct Eng (ASCE) 131(4):589–599CrossRefGoogle Scholar
  4. Fajfar P (2000) A nonlinear analysis method for performance-based seismic design. Earthq Spectra 16(3):573–592CrossRefGoogle Scholar
  5. Freeman SA (1998) The capacity spectrum method as a tool for seismic design. In: Proceedings of the 11th European conference on earthquake engineering, Paris, January 1998Google Scholar
  6. Casarotti C, Pinho R (2007) An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action. Bull Earthq Eng 5(3):377–390CrossRefGoogle Scholar
  7. Chopra AK, Goel RK (2002) A modal pushover analysis procedure for estimating seismic demands for buildings. Earthq Eng Struct Dyn 31(3):561–582CrossRefGoogle Scholar
  8. Goel RK, Chopra AK (2004) Evaluation of modal and FEMA pushover analyses SAC buildings. Earthq Spectra 20(1):225–254CrossRefGoogle Scholar
  9. Chopra AK, Chintanapakdee C (2004) Evaluation of modal and FEMA pushover analyses: vertically “Regular” and irregular generic frames. Earthq Spectra 20(1):255–271CrossRefGoogle Scholar
  10. Han SW, Chopra AK (2006) Approximate incremental dynamic analysis using the modal pushover analysis procedure. Earthq Eng Struct Dyn 35(15):1853–1873CrossRefGoogle Scholar
  11. Bergami AV, Liu X, Nuti C (2015a) Proposal and application of the incremental modal pushover analysis (IMPA). In: Proceedings of IABSE conference – structural engineering: providing solutions to global challenges, 23–25 September 2015, GenevaCrossRefGoogle Scholar
  12. Bergami AV, Liu X, Nuti C (2015b) Evaluation of a modal pushover based incremental analysis. In: Proceedings of ACE, Vietri sul mare, 12–13 June 2015Google Scholar
  13. Bergami AV, Nuti C (2013) A design procedure of dissipative braces for seismic upgrading structures. Earthq Struct 4(1):85–108CrossRefGoogle Scholar
  14. Bergami AV, Nuti C (2014) Design of dissipative braces for existing strategic building with a pushover based procedure. J Civ Eng Architect 8(7):815–823. Serial No. 80, ISSN 1934-7359Google Scholar
  15. Iervolino I, Galasso C, Cosenza E (2010) REXEL: aided record selection for code-based seismic structural analysis. Bull Earthq Eng 8:339–362CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • A. V. Bergami
    • 1
  • A. Forte
    • 1
  • D. Lavorato
    • 1
  • C. Nuti
    • 1
    • 2
  1. 1.Department of ArchitectureUniversity of Roma TreRomeItaly
  2. 2.College of Civil Engineering FuzhouUniversity of FuzhouFuzhouChina

Personalised recommendations