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Abstract
A general method for geometrical and material nonlinear analysis of planar framed structures is presented. The theoretical prerequisites prior to the development of a displacement type approach for a beam element in plasticity are established. The shape functions and stiffness matrix for a nined.o.f. beam element are evaluated. The generalised updated Lagrangian formulation is used to describe the equations of equilibrium and the predictions of a computer program are compared with examples ranging from buckling and elastica problems to experimental plasticity in steel and in reinforced concrete.
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