### Resumé

In reliability studies of progressive failures the analysis with respect to plastic collapse under proportional loading of linear elastic - ideal plastic structures has been undertaken in numerous works, but only a few authors have considered interaction of load effects in the yield condition. These works can be divided into two different formulations namely a total- and an incremental approach. The incremental approach has been used by Amdahl, Leira & Wu (1] and the total approach by Bjerager (2], Bådshauge & Bach-Gansmo (3], Ditlevsen (4], Høj & Loklindt (6], Murotsu, Okada & Matsuzaki (8] and Turner & Baker (12].

Originalsprog | Engelsk |
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Titel | Reliability and Optimization of Structural Systems : Proceedings of the 2nd IFIP WG7.5 working conference on reliability and optimization of structural systems |

Redaktører | P. Thoft-Christensen |

Antal sider | 16 |

Forlag | Springer |

Publikationsdato | 1989 |

Sider | 85-100 |

ISBN (Trykt) | 3-540-51283-7 |

Status | Udgivet - 1989 |

Begivenhed | IFIP WG7.5 Working Conference on Reliability and Optimization of Structural Systems - London, Storbritannien Varighed: 25 sep. 1988 → 27 sep. 1988 Konferencens nummer: 2 |

### Konference

Konference | IFIP WG7.5 Working Conference on Reliability and Optimization of Structural Systems |
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Nummer | 2 |

Land | Storbritannien |

By | London |

Periode | 25/09/1988 → 27/09/1988 |

Navn | Lecture Notes in Engineering |
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Vol/bind | 48 |

ISSN | 0176-5035 |

### Fingerprint

### Emneord

- Collapse Probability
- Elasto-Plastic
- Beam
- Structural Safety

### Citer dette

*Reliability and Optimization of Structural Systems: Proceedings of the 2nd IFIP WG7.5 working conference on reliability and optimization of structural systems*(s. 85-100). Springer. Lecture Notes in Engineering, Bind. 48

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*Reliability and Optimization of Structural Systems: Proceedings of the 2nd IFIP WG7.5 working conference on reliability and optimization of structural systems.*Springer, Lecture Notes in Engineering, bind 48, s. 85-100, IFIP WG7.5 Working Conference on Reliability and Optimization of Structural Systems, London, Storbritannien, 25/09/1988.

**Collapse Probability for Elasto-Plastic Beam Structures.** / Delmar, M.V.; Sørensen, John Dalsgaard; Thoft-Christensen, Palle.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

TY - GEN

T1 - Collapse Probability for Elasto-Plastic Beam Structures

AU - Delmar, M.V.

AU - Sørensen, John Dalsgaard

AU - Thoft-Christensen, Palle

PY - 1989

Y1 - 1989

N2 - In present design practice considerations on structural safety are usually concentrated on failure states corresponding to initial failure of an element. For a frame structure that means failure of a cross-section of the structure. Sufficient reliability with respect to this limit state is expected to be achieved by designing the structure on an element basis such that each member has at least a presctibed reliability. Most structures are redundant in the sense that failure of the first single element merely leads to redistribution of the load. The system reliability of the structure is in this paper defined as formation of a yield mechanism. System reliability aspects can be important in structural design and it is therefore relevant to consider limit state progressive failure in a probabilistic setting. In reliability studies of progressive failures the analysis with respect to plastic collapse under proportional loading of linear elastic - ideal plastic structures has been undertaken in numerous works, but only a few authors have considered interaction of load effects in the yield condition. These works can be divided into two different formulations namely a total- and an incremental approach. The incremental approach has been used by Amdahl, Leira & Wu (1] and the total approach by Bjerager (2], Bådshauge & Bach-Gansmo (3], Ditlevsen (4], Høj & Loklindt (6], Murotsu, Okada & Matsuzaki (8] and Turner & Baker (12].

AB - In present design practice considerations on structural safety are usually concentrated on failure states corresponding to initial failure of an element. For a frame structure that means failure of a cross-section of the structure. Sufficient reliability with respect to this limit state is expected to be achieved by designing the structure on an element basis such that each member has at least a presctibed reliability. Most structures are redundant in the sense that failure of the first single element merely leads to redistribution of the load. The system reliability of the structure is in this paper defined as formation of a yield mechanism. System reliability aspects can be important in structural design and it is therefore relevant to consider limit state progressive failure in a probabilistic setting. In reliability studies of progressive failures the analysis with respect to plastic collapse under proportional loading of linear elastic - ideal plastic structures has been undertaken in numerous works, but only a few authors have considered interaction of load effects in the yield condition. These works can be divided into two different formulations namely a total- and an incremental approach. The incremental approach has been used by Amdahl, Leira & Wu (1] and the total approach by Bjerager (2], Bådshauge & Bach-Gansmo (3], Ditlevsen (4], Høj & Loklindt (6], Murotsu, Okada & Matsuzaki (8] and Turner & Baker (12].

KW - Collapse Probability

KW - Elasto-Plastic

KW - Beam

KW - Structural Safety

KW - Collapse Probability

KW - Elasto-Plastic

KW - Beam

KW - Structural Safety

M3 - Article in proceeding

SN - 3-540-51283-7

T3 - Lecture Notes in Engineering

SP - 85

EP - 100

BT - Reliability and Optimization of Structural Systems

A2 - Thoft-Christensen, P.

PB - Springer

ER -