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Optimal Design of Reinforced Concrete Section Under Combined Dynamic Action

In: Risk and Reliability Analysis: Theory and Applications

Author

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  • Michel Kahan

    (SETEC)

Abstract

Wind or earthquake dynamic actions produce combined efforts on structures (axial force, bending moment about one or two axes, …) whose maximum values within a member section can often be represented by an elliptical envelope. The present chapter describes a technique to optimize reinforced concrete sections subjected to this type of dynamic load by adjusting quantities of steel and/or concrete so that the interaction curve characterizing the resistance of the section becomes tangent to the envelope of the maximum combined forces. The method relies on a geometrical transformation from the original space of forces in which the envelope is an ellipse to a so-called “standard normal space” where it becomes the unit circle. In this latter space, the safety margin of the section has a very simple geometric expression and is measurable with well-known tools of reliability analysis. The section parameters (steel and concrete) can then be adjusted in a very efficient way.

Suggested Citation

  • Michel Kahan, 2017. "Optimal Design of Reinforced Concrete Section Under Combined Dynamic Action," Springer Series in Reliability Engineering, in: Paolo Gardoni (ed.), Risk and Reliability Analysis: Theory and Applications, pages 255-275, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-319-52425-2_11
    DOI: 10.1007/978-3-319-52425-2_11
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