Recently, the content of the technical report on elastic critical buckling of members was established by the Eurocode 3 committee CEN/TC250/SC3. The technical report’s official name is CEN/TR 1993-1-103 Eurocode 3 – Design of Steel Structures – Part 1-103: Elastic Critical Buckling of Members. This report contains elastic critical buckling solutions of members to be used in conjunction with the design rules of EN 1993, Eurocode 3: Design of steel structure, more in particular EN 1993-1-1, Part 1-1: General rules and rules for buildings. In this code, limited information is given on elastic critical buckling solutions for members, though the design rules presented in this code rely on these solutions. However, elastic critical buckling solutions are seen as ‘textbook material’ and as easily available in the open literature. This is indeed the case and for that reason elastic critical buckling solutions are not, or only to a very limited extent, included in the codes. But using literature information on elastic critical solutions of members may cause discussion between parties involved in the design of steel structures. Therefore, it was felt that a compilation of generally accepted, simple and correct elastic critical buckling solutions of members would be useful. This report pays attention to the determination of elastic critical buckling forces and moments and the associated buckling lengths where relevant. The following stability cases of members are treated: flexural buckling of columns in compression, lateral torsional buckling of beams in bending, torsional buckling of columns in compression and torsional flexural buckling of columns in compression. Also, special attention is paid to boundary conditions and the stiffness of springs and beddings. The purpose and the content of the technical report are described in this paper.