David A. Nethercot

The Finite element method : a basic introduction

Basic concepts The concept of stiffness analysis Bar finite elements Finite elements of continua Triangular finite element for plane elasticity Rectangular finite element for plane elasticity Rectangular finite element for plate flexure Analysis of folded-plate, box-girder and shell structures using rectangular elements Axially symmetric continua Programming Triangular finite element for plate fixture A review of developments in the finite element field Appendices.

Influence of end support conditions on the stability of transversely loaded beams

Abstract Results are presented for the elastic lateral buckling of beams loaded by various systems of transverse loads and provided with any combination of rigid end support conditions, either symmetrical or unsymmetrical. Simple expressions for use in design which enable good estimates of the critical load to be rapidly calculated are also presented. For beams loaded by two symmetrically placed point loads the variation in stability with the position of the loads is investigated and the location consistent with minimum stability indicated.

Lateral buckling of beams

General formula is developed for elastic buckling strength of beams, with coefficients depending principally on conditions of loading and support; values of coefficients are tabulated for wide variety of conditions of loading and support; relationship between theoretical buckling strength and experimental results; various known design formulas are compared. (43 refs.)

Torsional rigidity of rolled steel sections

Abstract Results of recent torsion tests on steel I- sections have shown that the members torsional rigidity may be of the order of 60 per cent higher than the value given by simple theory and further that these measured values possess considerable scatter. This paper presents an explanation of these points in terms of the residual stresses present in the section. From the results of a study of a number of sections, a simple formula, based on only one geometrical parameter, is proposed for calculating correction factors to be applied to the value of the torsional rigidity as determined by conventional methods.

An approach to the design of imperfect slender beams

Abstract A method is described for deriving design curves which provide a smooth transition through the various modes of failure of steel beams and are therefore valid over the whole range of beam slendernesses. Comparison with available test results and the theory for perfect beams demonstrates the validity of the approach which leads to more manageable equations than previous methods.