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1
General method for lateral and lateral torsional buckling of structural components in Eurocode 3
F. Bijlaard, M. Feldmann, J. Naumes, G. Sedlacek
2
Stability rules in Eurocode 3 Design of steel structures
Column buckling
Lateral torsional buckling
Interaction
Rules for stability assessment
Plate buckling x Plate buckling y Plate buckling
Interaction
General method stability
General method plate stability
3
Basic model for general method
EN
crit
EEE
NNNeM
=1
10
1=+R
E
R
E
MM
NN
=R
E
NN 2=
cr
R
NN
11
120 =
+
eMN
R
R
( )2.00 = R
R
NMe
( ) 11
11 2 =+
22
1
+
= ( )[ ]22.015.0 ++=
1.
2.
3.
4.
5.
6.
7.
8.
4
-value for different cross sectional resistances
5
-value determined by FEM calculations
6
-values
7
-values
8
Test evaluation for buckling about weak axis (buckling curve b)
9
Partial factor M acc. to EN1990 - Annex D
10
Basic model for lateral torsional buckling
11
Basic equation for lateral torsional buckling
12
Column buckling formula
13
Comparison between column buckling curve and lateral torsional buckling curve
14
Comparison with test results
15
M-values
16
Calculation steps for assessment of combined column-buckling - lateral-torsional buckling problem
1. step: in-plane :
2. step: out of plane:
3. step:
4. step:
5. step:
KdKult RE =,
dcritcrit x,,*
*0
*
0 =
crit
crit
crit
Kult
,= ( ) ,*0= ( ) ( )dKultdE xx , =
( ) ( )1,
=
M
dKultdEd
xx
17
Example for implementation
18
Eigen mode of example
19
Example with fin-plates
IPE 120S235
20
Test results
21
Comparison between calculative and test results
22
Tests with haunched beams
23
Comparison between calculative and test results