Moment-curvature-thrust relationships for beam-columns

Liew A., Gardner L. and Block P.
Structures
2017
doi: 10.1016/j.istruc.2017.05.005

Moment-curvature-thrust relationships (M-κ-N) are a useful resource for the solution of a variety of inelastic and geometrically non-linear structural problems involving elements under combined axial load and bending. A numerical discretised cross-section method is used in this research to generate such relationships for I-sections, rectangular box-sections and circular or elliptical hollow sections. The method is strain driven, with the maximum strain limited by an a priori defined local buckling strain, which can occur above or below the yield strain depending on the local slenderness of the cross-section. The relationship between the limiting strain and the local slenderness has been given for aluminium, mild steel and stainless steel cross-sections through the base curve of the Continuous Strength Method. Moment-curvature-thrust curves are derived from axial force and bending moment interaction curves by pairing the curvatures and moments for a given axial load level. These moment–curvature–thrust curves can be transformed into various formats to solve a variety of structural problems. The gradient of the curves is used to find the materially and geometrically non-linear solution of an example beam-column, by solving numerically the moment-curvature ordinary differential equations. The results capture the importance of the second order effects, particularly with regard to the plastic hinge formation at mid-height and the post-peak unloading response.

BibTeX

@article{Liew2017,
author  = "Liew, A. and Gardner, L. and Block, P.",
title   = "Moment-curvature-thrust relationships for beam-columns",
journal = "Structures",
year    = "2017",
volume  = "11",
number  = "",
pages   = "146-154",
month   = "",
doi     = "10.1016/j.istruc.2017.05.005",
note    = "",
}

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