Abstract
An analytical method for computing the ultimate failure loads of inelastic columns subjected to axial thrust and uniaxial bending moments is presented. As part of the computational procedure, a rapid method of calculating the moment thrust curvature relations is described. The procedure uses the well known Gauss quadrature formulae. With the aid of a mapping device, any quadrilateral part of the cross-section can be considered including any arbitrary residual stress pattern. This enables the analysis of a wide variety of cross-sections, including circular and rectangular hollow sections. The ultimate failure loads are obtained by finding the highest load for which an equilibrium deflected shape can be calculated. A generalised Newton-Raphson method has been adopted for the calculation of the deflected shape of the column. The computer program developed has been used to examine the validity of the newly proposed design curves in ECCS Recommendations as well as he draft BS 5400 : Part 3 applicable to circular and rectangular hollow sections. it is concluded that the ECCS recommendations are safe, but the proposals in BS 5400 : Part 3 are found to be unduly conservative.
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