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Calculate the moment capacity of a composite beam to Eurocode 4

Posted on in Composite design

Thanks to the many benefits of composite construction, this construction type has been dominating the multi-storey building sector for over twenty years. But how actually does composite construction work?

The reason why the composite construction is often so good is that the concrete in the slab takes all or most of the compression (for which it is best suited), while the steel beam takes all the tension in the overall system.

How to analyse and design a composite floor to Eurocode?

Composite beams are normally hot rolled or plated steel girders that act compositely with the slab. The composite interaction is achieved by the shear connectors attached to the top flange of the beam. An effective width of the slab is taken as acting as part of the composite section on either side of the centreline.

The bending resistance of the composite section is evaluated using plastic principles. The resistance should be adequate for the maximum total design moment in ultimate limit states.

Composite beam plastic bending moment resistance calculation to Eurocode 4

The plastic moment resistance is calculated using idealised rectangular stress blocks. In Eurocode 4, it is assumed that stresses of fyd and 0.85fcd can be achieved in the steel and concrete respectively.

The used stress blocks may be limited in accordance with the degree of shear connection:

  • Full shear connection: shear connectors able to transfer the maximum longitudinal shear force from the steel to the concrete; the full plastic resistance moment can be achieved
  • Partial shear connection: reduced longitudinal shear force can be transferred. The stress block method must be modified

In the case of composite construction, it is important not to forget the construction stage. The steel part of a composite cross-section must alone resist self-weight and other construction loads as the concrete at that stage is ineffective. Design is generally in accordance with the Eurocode 3.

Loading arrangement of a composite beam in construction stage to Eurocode

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