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The lateral buckling of a beam having different support conditions at each end when loaded by either equal or unequal moments is dealt with in this paper. New theoretical solutions are presented which deal with any combination of the loading and end support conditions. For all these solutions simple expressions, suitable for use in a design office, have been derived which provide good estimates of the critical loads. Erratum in vol 51, no 4, April 1973, pp138-139 D.A. Nethercot and K.C. Rockey
The end panel of a plate girder is analysed for plastic collapse under high shearing load by means of the upper bound theorem. Two possibilities are considered for the behaviour of the web: either (a) it remains unbuckled or (b) it develops a full plastic tension field. Curves are presented showing how the collapse load depends on the dimensions and on a parameter signifying the full plastic bending strength of the flanges in relation to the web strength. In general, the numerous experimental results available in the literature lie between the predictions based on (a) and (b) respectively. C.R. Calladine
Designs made according to the limit state of plastic collapse are not quite the same as designs made by simple plastic theory. It is however, possible to retain the simplicity of plastic methods within the framework of limit design concepts, and at the same time partially relieve the designer of unnecessary elastic calculations. J. Heyman