### Abstract

A two phase approach is developed to evaluate the reliability of a finite linear elastic beam subject to a random point load on uncertain elastic foundation. In phase 1, an approximate closed form solution for the deflection of the beam for arbitrary deterministic foundation stiffness is derived based on Decomposition method of solving differential equations. In phase 2, the marginal probability distribution of the deflection is evaluated based on First and Second Order Reliability methods. A numerical example is provided to demonstrate the applicability of the method.

Original language | English (US) |
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Title of host publication | Mechanics Computing in 1990's and Beyond |

Editors | Hojjat Adeli, Robert L. Sierakowski |

Publisher | Publ by ASCE |

Pages | 258-262 |

Number of pages | 5 |

ISBN (Print) | 0872628043 |

State | Published - 1991 |

Externally published | Yes |

Event | ASCE Engineering Mechanics Specialty Conference - Columbus, OH, USA Duration: May 20 1991 → May 22 1991 |

### Other

Other | ASCE Engineering Mechanics Specialty Conference |
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City | Columbus, OH, USA |

Period | 5/20/91 → 5/22/91 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Mechanics Computing in 1990's and Beyond*(pp. 258-262). Publ by ASCE.

**Reliability of beams on uncertain foundation.** / Saif, M Taher A; Rahman, S.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Mechanics Computing in 1990's and Beyond.*Publ by ASCE, pp. 258-262, ASCE Engineering Mechanics Specialty Conference, Columbus, OH, USA, 5/20/91.

}

TY - GEN

T1 - Reliability of beams on uncertain foundation

AU - Saif, M Taher A

AU - Rahman, S.

PY - 1991

Y1 - 1991

N2 - A two phase approach is developed to evaluate the reliability of a finite linear elastic beam subject to a random point load on uncertain elastic foundation. In phase 1, an approximate closed form solution for the deflection of the beam for arbitrary deterministic foundation stiffness is derived based on Decomposition method of solving differential equations. In phase 2, the marginal probability distribution of the deflection is evaluated based on First and Second Order Reliability methods. A numerical example is provided to demonstrate the applicability of the method.

AB - A two phase approach is developed to evaluate the reliability of a finite linear elastic beam subject to a random point load on uncertain elastic foundation. In phase 1, an approximate closed form solution for the deflection of the beam for arbitrary deterministic foundation stiffness is derived based on Decomposition method of solving differential equations. In phase 2, the marginal probability distribution of the deflection is evaluated based on First and Second Order Reliability methods. A numerical example is provided to demonstrate the applicability of the method.

UR - http://www.scopus.com/inward/record.url?scp=0025752007&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025752007&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0025752007

SN - 0872628043

SP - 258

EP - 262

BT - Mechanics Computing in 1990's and Beyond

A2 - Adeli, Hojjat

A2 - Sierakowski, Robert L.

PB - Publ by ASCE

ER -