### Abstract

Clause 6.2 of EN 1993-1-1 covers the cross-sectional resistance of steel sections. The bending-shear interaction design rules for I-shaped cross-sections make use of a reduced yield stress for the web area. On this basis, a reduced design plastic resistance moment allowing for the shear force is presented. The effect of shear on the bending resistance may be neglected if the shear force is less than half of the plastic shear resistance of the cross-section. Plasticity in the Eurocode is described by the well-known Von-Mises yield criterion, however, the formula used for the reduced yield stress deviates from this criterion, resulting in sometimes greater and sometimes smaller values. The

background of the Eurocode formula for reduced yield stress can be found in a publication by Drucker. The purpose of the present research is to investigate the influence of shear on the bending resistance of I-shaped steel cross-sections with as result a possible reconsideration of the Eurocode design rules.

At Eindhoven University of Technology an experimental investigation on bending-shear interaction in rolled steel I-shaped sections was performed. A numerical model was developed in Abaqus Finite Element software to simulate the experiments. With the validated numerical model a larger database

of numerical ‘test’ results was generated, which was subsequently used in a statistical analysis following Annex D of EN 1990 as further developed in the RFCS project Safebrictile. The statistical distributions of the steel properties recommended by Safebrictile were adopted.

This paper presents the results of the statistical analysis and safety assessment of the strong axis bending-shear interaction design rule currently present in Eurocode 3. The parametric test group consists of HEA, HEM and IPE sections in the steel grades S235, S355 and S460: in total 180 numerical simulations with increasing amount of shear. A stress-strain model including strain hardening was used in the numerical simulations, since the influence of strain hardening is also largely present in the experimental test program. Based on strain hardening material behavior it is show in this paper that the current partial factor is un-conservative for shear dominated beams and should be increased. Alternatively, the design rule should be modified.

background of the Eurocode formula for reduced yield stress can be found in a publication by Drucker. The purpose of the present research is to investigate the influence of shear on the bending resistance of I-shaped steel cross-sections with as result a possible reconsideration of the Eurocode design rules.

At Eindhoven University of Technology an experimental investigation on bending-shear interaction in rolled steel I-shaped sections was performed. A numerical model was developed in Abaqus Finite Element software to simulate the experiments. With the validated numerical model a larger database

of numerical ‘test’ results was generated, which was subsequently used in a statistical analysis following Annex D of EN 1990 as further developed in the RFCS project Safebrictile. The statistical distributions of the steel properties recommended by Safebrictile were adopted.

This paper presents the results of the statistical analysis and safety assessment of the strong axis bending-shear interaction design rule currently present in Eurocode 3. The parametric test group consists of HEA, HEM and IPE sections in the steel grades S235, S355 and S460: in total 180 numerical simulations with increasing amount of shear. A stress-strain model including strain hardening was used in the numerical simulations, since the influence of strain hardening is also largely present in the experimental test program. Based on strain hardening material behavior it is show in this paper that the current partial factor is un-conservative for shear dominated beams and should be increased. Alternatively, the design rule should be modified.

Original language | English |
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Title of host publication | 8th European Conference on Steel and Composite Structures (EUROSTEEL 2017), September 13-15, 2017, Copenhagen, Denmark |

Pages | 3699–3708 |

Number of pages | 10 |

DOIs | |

Publication status | Published - 2017 |

Event | 8th European Conference on Steel and Composite Structures (EUROSTEEL 2017), September 13-15, 2017, Copenhagen, Denmark - Copenhagen, Denmark Duration: 13 Sep 2017 → 15 Sep 2017 http://www.eurosteel2017.dk/ |

### Publication series

Name | CE/Papers |
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Number | 2-3 |

Volume | 1 |

ISSN (Print) | 2509-7075 |

### Conference

Conference | 8th European Conference on Steel and Composite Structures (EUROSTEEL 2017), September 13-15, 2017, Copenhagen, Denmark |
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Abbreviated title | EUROSTEEL2017 |

Country | Denmark |

City | Copenhagen |

Period | 13/09/17 → 15/09/17 |

Internet address |

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### Keywords

- statistical evaluation, cross-sectional resistance, bending-shear interaction, I-section

### Cite this

Dekker, R. W. A., Snijder, H. H., & Maljaars, J. (2017). Bending-shear interaction of steel I-shaped cross-sections: statistical evaluation. In

*8th European Conference on Steel and Composite Structures (EUROSTEEL 2017), September 13-15, 2017, Copenhagen, Denmark*(pp. 3699–3708). (CE/Papers; Vol. 1, No. 2-3). https://doi.org/10.1002/cepa.426