In this paper, a new interpolation method for developing full 3-dimensional (3D) interaction diagrams for arbitrarily shaped reinforced concrete columns subjected to an axial force and biaxial bending is proposed. The interpolation method uses six stationary points that can be determined by searching unconstrained nonlinear optimization solutions or through manual calculations. The weighted sum of a quadratic and linear equation along the meridian and parallel directions is used to preserve the convexity of the interaction diagrams. A coordinate transformation is applied to asymmetrical sections wherein the vertical axis of the meridian diagram is tilted. The proposed interpolation method is applied to various reinforced concrete sections to evaluate the full 3D interaction diagrams. The error ratios of the interpolated diagrams are less than 5% when optimum weighting factors are used. A weighting factor of 0.7 is recommended for the meridian and parallel interpolations of rectangular and asymmetrical sections.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Estimating Interaction Diagrams for Arbitrarily Shaped Concrete Sections by Interpolating Stationary Points


    Additional title:

    KSCE J Civ Eng


    Contributors:

    Published in:

    Publication date :

    2022-11-01


    Size :

    11 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Lifting-Line Theory for Arbitrarily Shaped Wings

    M. L. Rasmussen / D. E. Smith | AIAA | 1999


    Merging range images of arbitrarily shaped objects

    Rutishauser / Stricker / Trobina | IEEE | 1994


    Merging Range Images of Arbitrarily Shaped Objects

    Rutishauser, M. / Stricker, M. / Trobina, M. et al. | British Library Conference Proceedings | 1994