Synopsis The Paper presents a new method for the determination of the collapse load for structures of any degree of complexity by a simple routine analysis. The method is limited only by the time which would be taken in the analysis for a large frame. It is shown, however, that a skilled analyst may be able to reduce the labour involved to a considerable extent. The method is contrasted with the method which is used at present, in which the designer guesses the locations of the plastic hinges which form when the structure collapses, and then adjusts his guesses in a systematic manner.
The value of the fully plastic moment of a beam is known to be reduced by both normal and shear forces, and their separate effects have been studied in some detail, but little attention has been paid to the reduction caused by normal and shear forces acting simultaneously. This problem is discussed with reference to a cantilever beam of rectangular cross section subjected to both shear and normal forces at the free end. Upper and lower bounds to the collapse load are determined, and the results are presented in the form of interaction relations between the shear and normal forces and the bending moment at the clamped end of the cantilever at collapse.
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