### Abstract

This paper aims at providing an in-depth analysis of the local plate buckling coefficients for thin-walled rectangular hollow sections (RHS) subjected to biaxial bending and/or axial force. For the determination of these coefficients, a computational efficient Generalised Beam Theory formulation is implemented in a MATLAB code, capable of calculating accurate local buckling loads with a very small computational cost and, therefore, making it possible to conduct extensive parametric studies in a very short period of time. Taking advantage of the small longitudinal half-wavelength nature of the local buckling mode, semi-analytical solutions using sinusoidal half-wave amplitude functions may be employed for the GBT cross-section deformation modes. The code then computes the lowest local buckling load by varying the member length and using the “golden-section search” algorithm. Although most of the paper is devoted to cross-sections without rounded corners, the code is also capable of handling rounded corners and a preliminary study concerning its effect on the buckling coefficients is also presented.

Original language | English |
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Title of host publication | Proceedings of the 8th International Conference on Thin-Walled Structures (ICTWS 2018) |

Place of Publication | Lisbon |

Publisher | Universidade de Lisboa |

Number of pages | 20 |

Publication status | Published - 24 Jul 2018 |

Event | 8th International Conference on THIN-WALLED STRUCTURES (ICTWS 2018) - Lisbon, Portugal Duration: 24 Jul 2018 → 27 Jul 2018 Conference number: 8th |

### Conference

Conference | 8th International Conference on THIN-WALLED STRUCTURES (ICTWS 2018) |
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Abbreviated title | ICTWS 2018 |

Country | Portugal |

City | Lisbon |

Period | 24/07/18 → 27/07/18 |

### Keywords

- Local buckling
- Rectangular hollow sections
- Axial force
- Biaxial bending
- Axial force and biaxial bending
- Generalized Beam Theory

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## Cite this

Vieira, L., Gonçalves, R., & Camotim, D. (2018). Local buckling of RHS members under biaxial bending and axial force. In

*Proceedings of the 8th International Conference on Thin-Walled Structures (ICTWS 2018)*[165] Lisbon: Universidade de Lisboa.