### Abstract

In the present paper, a probabilistic generalization of the Type 2 size effect is proposed. The generalization is derived through a large size asymptotic expansion ofLEFMequations combined with aweighted finite weakest-link model, which is justified by the fact that the structure survives if the crack tip location in any of a finite number of representative volume elements (RVE) cannot cause failure. Compared toType 1 failure, the zone of possible crack tip locations of non-negligible probability is much smaller and its extent in dimensionless coordinates decreases as the structure size increases. Consequently, the statistical component of the Type 2 size effect on the mean structural strength is much weaker. Yet, the size has a significant effect on the coefficient of variation of structural strength. An application to the probability distribution of the diagonal shear failure of reinforced concrete beams is demonstrated.

Original language | English (US) |
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Title of host publication | Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 |

Pages | 955-958 |

Number of pages | 4 |

State | Published - Dec 1 2013 |

Event | 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 - New York, NY, United States Duration: Jun 16 2013 → Jun 20 2013 |

### Publication series

Name | Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 |
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### Other

Other | 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 |
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Country | United States |

City | New York, NY |

Period | 6/16/13 → 6/20/13 |

### ASJC Scopus subject areas

- Civil and Structural Engineering
- Safety, Risk, Reliability and Quality

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## Cite this

*Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013*(pp. 955-958). (Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013).