Fragility curves for risk-targeted seismic design maps

Thomas Ulrich, Caterina Negulescu, John Douglas

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Seismic design using maps based on "risk-targeting" would lead to an annual probability of attaining or exceeding a certain damage state that is uniform over an entire territory. These maps are based on convolving seismic hazard curves from a standard probabilistic analysis with the derivative of fragility curves expressing the chance for a code-designed structure to attain or exceed a certain damage state given a level of input motion, e.g. peak ground acceleration (PGA). There are few published fragility curves for structures respecting the Eurocodes (ECs, principally EC8 for seismic design) that can be used for the development of risk-targeted design maps for Europe. In this article a set of fragility curves for a regular three-storey reinforced-concrete building designed using EC2 and EC8 for medium ductility and increasing levels of design acceleration (ag) is developed. These curves show that structures designed using EC8 against PGAs up to about 1 m/s2 have similar fragilities to those that respect only EC2 (although this conclusion may not hold for irregular buildings, other geometries or materials). From these curves, the probability of yielding for a structure subjected to a PGA equal to ag varies between 0.14 (ag =0.7m/s2) and 0.85 (ag=3m/s2 whereas the probability of collapse for a structure subjected to a PGA equal to ag varies between 1.7×10-7(ag=0.7 m/s2) and 1.0 × 10-5 (ag=3m/s2).

Original languageEnglish
Pages (from-to)1479-1491
Number of pages13
JournalBulletin of Earthquake Engineering
Issue number4
Early online date20 Dec 2013
Publication statusPublished - 1 Aug 2014


  • Eurocode 2 (EC2)
  • Eurocode 8 (EC8)
  • fragility curves
  • reinforced concrete
  • risk-targeting
  • seismic risk

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