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# Design of RC members in biaxial bending

Do you need to design a reinforced concrete element under biaxial bending? In this example you can see how we validate WeStatiX’s accuracy in the calculation of the reinforcement cross-sectional area for a beam subjected to biaxial bending.

In WeStatiX you can find the model we utilized for this verification: it’s a cantilever beam subjected to biaxial bending and compressive axial force on its free end.

The characteristics of the cross section are listed below.

And finally, the material parameters

When the model is ready, you can start the analysis, and you will obtain the following diagrams.

Focusing on the RC member design results, you can see that the total reinforcement area in the cross section is $$A_{s,tot}=46,17cm^2$$.

You can verify it with briefly with the interaction diagrams for the reinforced concrete design of a cross-section under biaxial bending. [1]

So the error is

$$\epsilon = 1-\frac{46,17}{48,00} = 3,81\%$$

Which is acceptable since the interaction diagram method is approximate. WeStatiX’s solution is therefore verified.

[1] Scriptum zur Vorlesung BETONBAU 1 nach EC 1992-1-1, Technische Universität Wien, Institut für Tragkonstruktionen – Herausgegeben von Prof. Dr.-Ing. Johann KOLLEGER