A formulation of the Generalised Beam Theory (GBT) is presented for the 1st order inelastic analysis of thin-walled steel bars subjected to arbitrary loading and boundary conditions. Five illustrative examples are shown to validate the theory for cases involving global deformation only, namely uniform bending, non-uniform bending, combined bending and axial compression, and non-uniform torsion. Lastly, the results are validated against ABAQUS using beam and shell finite element models. The correlation is typically great concerning equilibrium paths, deformed configurations, and stress diagrams. In those cases where results do not compare so well, possible causes are pointed out.
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