Local buckling in circular tubes differs from that in cross-sections formed from flat plate elements (I, H, RHS etc.) because the latter retain their original shape up to the point of local buckling and plates are not very sensitive to minor geometric imperfections. By contrast, the curved form of the circular tube or cylindrical shell is very sensitive to minor imperfections and under bending is also strongly affected by geometric nonlinearity when the tube is significantly long. The classification of circular hollow tubular sections (CHS) into Classes 2, 3 and 4 is thus more complicated than for flat plate sections. It may be also noted that the "effective section" treatment of flat plates in Class 4 cannot be used for cylindrical shells. These differences, often ignored, have led to a very wide discrepancy in the classification rules for tubes in different international standards. This paper sets out a clear description of the factors behind the development of new classification rules for CHS designed for adoption into EN 1993-1-1 [1]. The effects of length, full and partial plasticity, imperfections and cross-section distortion are all included using individual provisions. It is also believed that these are the first rules to attempt a rigorous treatment of the resistance of Class 3 CHS subject to both bending and axial compression. The fully plastic resistance of tubes under axial force and bending is also treated with great precision. The formulation is novel, so may prove interesting to others who seek to develop similar rules for other structural shapes.