### Abstract

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 (a_{g}) is developed. These curves show that structures designed using EC8 against PGAs up to about 1 m/s^{2} 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 a_{g} varies between 0.14 (a_{g} =0.7m/s^{2}) and 0.85 (a_{g}=3m/s^{2} whereas the probability of collapse for a structure subjected to a PGA equal to a_{g} varies between 1.7×10^{-7}(a_{g}=0.7 m/s^{2}) and 1.0 × 10^{-5} (a_{g}=3m/s^{2}).

Language | English |
---|---|

Pages | 1479-1491 |

Number of pages | 13 |

Journal | Bulletin of Earthquake Engineering |

Volume | 12 |

Issue number | 4 |

Early online date | 20 Dec 2013 |

DOIs | |

Publication status | Published - 1 Aug 2014 |

### Fingerprint

### Keywords

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

### Cite this

*Bulletin of Earthquake Engineering*,

*12*(4), 1479-1491. https://doi.org/10.1007/s10518-013-9572-y

}

*Bulletin of Earthquake Engineering*, vol. 12, no. 4, pp. 1479-1491. https://doi.org/10.1007/s10518-013-9572-y

**Fragility curves for risk-targeted seismic design maps.** / Ulrich, Thomas; Negulescu, Caterina; Douglas, John.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Fragility curves for risk-targeted seismic design maps

AU - Ulrich, Thomas

AU - Negulescu, Caterina

AU - Douglas, John

PY - 2014/8/1

Y1 - 2014/8/1

N2 - 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).

AB - 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).

KW - Eurocode 2 (EC2)

KW - Eurocode 8 (EC8)

KW - fragility curves

KW - reinforced concrete

KW - risk-targeting

KW - seismic risk

UR - http://www.scopus.com/inward/record.url?scp=84904281692&partnerID=8YFLogxK

UR - http://link.springer.com/journal/10518

U2 - 10.1007/s10518-013-9572-y

DO - 10.1007/s10518-013-9572-y

M3 - Article

VL - 12

SP - 1479

EP - 1491

JO - Bulletin of Earthquake Engineering

T2 - Bulletin of Earthquake Engineering

JF - Bulletin of Earthquake Engineering

SN - 1570-761X

IS - 4

ER -