Optimal Design of Reinforced Concrete Section Under Combined Dynamic Action

Michel Kahan ()
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Michel Kahan: SETEC

A chapter in Risk and Reliability Analysis: Theory and Applications, 2017, pp 255-275 from Springer

Abstract: 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.

Keywords: Limit State; Axial Force; Longitudinal Strain; Original Space; Limit State Function (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-3-319-52425-2_11

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DOI: 10.1007/978-3-319-52425-2_11

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