## Abstract

The cross-section properties of a beam is characterized by a six by six stiffness matrix, relating the six generalized strains to the conjugate section forces. The problem is formulated as a single-layer finite element model of a slice of the beam, on which the six deformation modes are imposed via Lagrange multipliers. The Lagrange multipliers represent the constraining forces, and thus combine to

form the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.

form the cross-section stiffness matrix. The theory is illustrated by a simple isotropic cross-section.

Original language | English |
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Title of host publication | Proceedings of the 26th Nordic Seminar on Computational Mechanics |

Editors | A. Logg, K.A. Mardal |

Number of pages | 4 |

Publisher | Center for Biomedical Computing, Simula Research Laboratory |

Publication date | 2013 |

ISBN (Print) | 978-82-92593-12-7 |

Publication status | Published - 2013 |

Event | 26th Nordic Seminar on Computational Mechanics - Oslo, Norway Duration: 23 Oct 2013 → 25 Oct 2013 Conference number: 26 http://noacm.no/vpage/1/0/NSCM |

### Conference

Conference | 26th Nordic Seminar on Computational Mechanics |
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Number | 26 |

Country | Norway |

City | Oslo |

Period | 23/10/2013 → 25/10/2013 |

Internet address |

## Keywords

- Cross-section analysis
- Coupled beam deformation
- Anisotropic beam