Comparison of the different formulae for the calculation of the elastic critical moment Mcr. Formulae used in the Eurocodes ENV 1993-1-1:1992, ENV 1999-1-1:1998 and in the Czech code ČSN 73 1401:1998 and the Slovak code STN 73 1401:1998. Remarks to the historical development. Critical review of the theoretical results of various authors. Improvement of the incorrect formulae and the warning related to use some of them.

Topics
Review
1.
I.
Baláž
,
Y.
Koleková
, Critical Moments.
Proceedings of International Colloquium on Stability and Ductility of Steel Structures
, (26-28 September
2002
),
Budapest
, pp.
31
–
38
.
Google Scholar
 
2.
I.
Baláž
 and
Y.
Koleková
, Clark – Mrázik Formula for Critical Moments,
Proceedings of International Colloquium on Stability and Ductility of Steel Structures
, (26-28 September
2002
),
Budapest
, pp.
39
–
46
.
Google Scholar
 
3.
I.
Baláž
,
Buckling of monosymmetric beams – conjured problem
,
Eurosteel 2nd European Conference on Steel Structures. Praha
, (May 26-29,
1999
), pp.
701
–
704
.
Google Scholar
 
4.
I.
Baláž
,
Buckling of monosymmetric beams – conjured problem
,
Part 2, Eurosteel 2nd European Conference on Steel Structures, Praha
, (May 26-29,
1999
), CD,
21
pages.
Google Scholar
 
5.
I.
Baláž
 and
Y.
Koleková
,
Baláž
, Stability of Monosymmetric Beams,
Proceedings of the 6th International Colloquium on Stability & Ductility of Steel Structures, Timisoara
,
Romania
, (
Elsevier
, 9-11 September
1999
).
Google Scholar
 
6.
Y.
Koleková
,
Elastic Critical Moments of the Thin-Walled Beams with Monosymmetric Cross-Section
,
(In Slovak), Thesis for Associate Professor habilitation
,
Faculty of Civil Engineering, Slovak University of Technology
,
Bratislava
, (October
1999
),
121
pages.
Google Scholar
 
7.
I.
Baláž
 and
Y.
Koleková
,
Critical Moments of Beams and Girders
.
Clark – Mrázik formula, Proceedings of 19th Czech and Slovak International Conference “Steel Structures and Bridges 2000”, Štrbské Pleso, High Tatras
, (September 27-30,
2000
), pp.
87
–
94
.
Google Scholar
 
8.
I.
Baláž
 and
Y.
Koleková
,
Proposals for Improvements of Lateral Torsional Buckling Eurocodes Rules
,
Proceedings of 19th Czech and Slovak International Conference “Steel Structures and Bridges 2000
”,
Štrbské Pleso
,
High Tatras
, (September 27-30,
2000
), pp.
81
–
86
.
Google Scholar
 
9.
I.
Baláž
, I.,
Lateral Torsional Buckling of Metal Beams, (In Slovak
),
Proceedings of the 11th International Scientific Conference on the Occasion of the 100th Anniversary of Establishing the Czech Technical College in Brno and Initiating Education in the Civil Engineering Branch of Study, FAST VUT Brno, Session 7: Load-bearing Building Structures
, (18-20 October
1999
), pp.
63
–
66
.
Google Scholar
 
10.
Y.
Koleková
, Y.,
Lateral Torsional Buckling of Monosymmetric Cantilever
, (
In Slovak, Proceedings of the 11th International Scientific Conference on the Occasion of the 100th Anniversary of Establishing the Czech Technical College in Brno and Initiating Education in the Civil Engineering Branch of Study, FAST VUT Brno, Session 7: Load-bearing Building Structures
, (18-20 October
1999
), pp.
67
.
Google Scholar
 
11.
I.
Baláž
 and
Y.
Koleková
,
LTB resistance of beams. Critical moment
.
In Eurosteel 2014: 7th European Conference on Steel and Composite Structures
.
Proceedings of abstracts in book
.
Napoli, Italy
, (ECCS, 10.-12.9.
2014
), Brussels, pp.
123
–
124
.
Google Scholar
 
12.
V.
Březina
,
Bearing Capacity of Metal Members and Beams
. (In Czech), (
NČSAV
,
Prague
,
1962
).
Google Scholar
 
13.
J. W.
Clark
 and
H. N.
Hill
, Lateral Buckling of Beams and Girders.
Commentary for Research Committee E, Column Research Council
, (
CRC
, November 18,
1957
), pp.
22
.
Google Scholar
 
14.
J. N.
Clark
 and
H. N.
Hill
,
Lateral Buckling of Beams
.
Journal of the Structural Division, Proceedings of the ASCE
, (July
1960
), pp.
175
–
196
.
Google Scholar
 
15.
J.
Djubek
, J. and
A.
Mrázik
, Stability of thin-walled beams, Research report, (In Slovak),
ÚSTARCH
,
SAV, Bratislava
, (
1958
), pp.
1
–
46
.
16.
V.
Březina
,
Bearing Capacity of Members in Metal Structures
, (In Czech),
Prague
, (
1963
),
184
pages.
Google Scholar
 
17.
A.
Mrázik
 and
I.
Plander
 and
J.
Gruska
, (
1961
)
Tables for Critical Stresses of Thin-Walled Members and Use of Computer for their Calculation, (In Slovak
),
Stavebnícky časopis
,
IX
:.
8
, (1961), p.
461
–
484
.
Google Scholar
 
18.
A.
Mrázik
, and
J.
Gruska
,
Calculation of thin-walled beams
, (In Slovak), (
Publishing house SAV
,
1965
),
Bratislava
, pp.
1
–
143
.
Google Scholar
 
19.
Slovak Standard STN 73 1401: Design of steel structures
, (
SÚTN Bratislava
,
1998
).
20.
DIN 4114 Blatt 2,
Stabilitätsfälle (Knickung, Kippung, Beulung)
, (February
1953
).
21.
Ch.
Petersen
,
Statik und Stabilität der Baukonstruktionen
,
2. Auflage
, (Vieweg,
1982
).
Google Scholar
 
22.
O. W.
Wetzell
 (editor),
Wendehorst Bautechnische Zahlentafeln, Praxis
, 33. Auflage, (
Vieweg, Beuth
,
2009
).
Google Scholar
 
23.
K.
Roik
 and
J.
Carl
 and
J.
Lindner
,
Biegetorsionsprobleme gerader dünnwandiger Stäbe
, (
Ernst & Sohn
,
1972
),
Berlin, München, Düsseldorf
.
Google Scholar
 
24.
J. M.
Anderson
 and
N. S.
Trahair
,
Stability of Monosymmetric Beams and Cantilevers
,
Journal of Structural Division, Proceedings of ASCE, ST
1
, (
1972
), pp.
269
–
287
.
https://doi.org/10.1061/JSDEAG.0003114
Google Scholar
 
25.
T. M.
Roberts
 and
Z. G.
Azizian
,
Instability of Monosymmetric I-Beams
,
Journal of Structural Engineering ASCE
, Vol.
110
, No.
6
, (
1984
), pp.
1415
–
1418
.
https://doi.org/10.1061/(ASCE)0733-9445(1984)110:6(1415)
Google Scholar
 
26.
H.
Djalaly
,
Calcul de la résistance ultime au déverrsement
,
Construction Métallique
, No.
1
, (
1974
ª), pp.
58
–
77
.
Google Scholar
 
27.
H.
Djalaly
,
Calcul de la résistance ultime au déversement dans le cas de flexion déviée
.
Construction Métallique
, No.
3
, (
1974
b), pp.
43
–
56
.
Google Scholar
 
28.
H.
Djalaly
,
Calcul de la résistance ultime au déversement
.
Construction Métallique
, No.
4
, (
1974
c), pp.
54
–
61
.
Google Scholar
 
29.
European Prestandard ENV 1993-1-1: Design of steel structures,
Part 1-1: General rules and rules for buildings
, (
CEN Brussels
,
1992
).
30.
European Prestandard ENV 1999-1-1: Design of aluminium structures.
Part 1-1: General rules – General rules and rules for buildings
, (
CEN Brussels
,
1998
).
31.
EN 1999-1-1 Eurocode 9: Design of Aluminium Structures.
Part 1-1: General Structural Rules
. (
CEN
,
2007
).
32.
EN 1993-1-1 Eurocode 3: Design of Steel Structures.
Part 1-1: General Rules and Rules for Buildings
(
CEN Brussels
,
2005
).
33.
ECCS Technical Committee 8 – Stability, Rules for Member Stability EN 1993-1-1,
Background documentation and design guidelines
. No.
119
. (
Brussels
,
2006
), pp.
259
.
34.
D.
Dubina
 and
V.
Ungureanu
 and
R.
Landolfo
,
Design of Cold-formed Steel Structures. Eurocode 3: Design of Steel Structures. Part 1-3: Design of Cold-formed Steel Structures
, ECCS Eurocode Design Manuals, (
ECCS, Ernst& Sohn. Wiley-Blackwell
,
2012
), pp.
1
–
654
.
Google Scholar
 
35.
DIN 18800-2:2008, Stahlbauten – Teil 2: Stabilitätsfälle – Knicken von Stäben und Stabwerken, Normenausschuss Bauwesen (NABau) im DIN, (
Beuth Verlag GmbH
,
2008
),
Berlin
.
36.
H. H.
Snijder
 and
I.
Baláž
 and
R.
Stroetmann
,
CEN/TR 1993-1-103 Eurocode 3 – Design of Steel Structures – Part 1-103: Elastic Critical Buckling of Members
.
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