## Abstract

For a statically indeterminate structure we examine the class of internal forces that are in equilibrium with a given external loading f. We define the optimal stress φ^{opt} as the smallest possible magnitude of any equilibrating internal force distribution. The stress sensitivity k = max _{f}{φ^{opt}_{f}/||f||}, a purely geometric property of structure, is a measure of the sensitivity of the structure to variable external loading. Using the result for optimal stresses, an expression for the stress sensitivity factor is obtained in terms of the structure 's kinematic interpolation mapping. These notions, the corresponding theoretical results, and a simple implementation to finite element models are presented using linear and conic programming.

Original language | English |
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Title of host publication | 2008 Proceedings of the 9th Biennial Conference on Engineering Systems Design and Analysis |

Pages | 209-215 |

Number of pages | 7 |

State | Published - 21 Sep 2009 |

Event | 2008 9th Biennial Conference on Engineering Systems Design and Analysis - Haifa, Israel Duration: 7 Jul 2008 → 9 Jul 2008 |

### Conference

Conference | 2008 9th Biennial Conference on Engineering Systems Design and Analysis |
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Country/Territory | Israel |

City | Haifa |

Period | 7/07/08 → 9/07/08 |

## ASJC Scopus subject areas

- Computational Mechanics
- Control and Systems Engineering
- Mechanical Engineering