Calculation of the Load-Bearing Capacity of a Bar Structural Member from a С-shaped Cold-Formed Profile under Axial Compression
Task: Verify the correctness of the calculation of the load-bearing capacity of bar structural members from cold-formed profiles under axial compression.
Source: [1] Worked examples according to EN 1993-1-3, Eurocode 3, Part 1-3 // ECCS TC7 TWG 7.5 Practical Improvement of Design Procedure. – 1st Ed., ECCS CECM, EKS, 2008. – 235 p.
Compliance with the codes: EN 1993-1-3.
Initial data file:
Task 4.1.sav; report – Report 4.1.doc
Program version: MAGNUM 23.1.1.3, 07.02.2024
Initial data:
| Е = 210000 N/mm2 | Elastic modulus |
| v = 0.3 | Poisson’s ratio |
| fy = 355 N/mm2 | Yield strength |
| γМ0 = 1 | Partial safety factor |
| γМ1 = 1 | Partial safety factor |
| h = 102 mm | Section height (along the outer edge) |
| b = 120 mm | Flange width (along the outer edge) |
| c = 26 mm | Flange bend length (along the outer edge) |
| t = 2 mm | Profile thickness (minus the coating thickness) |
| r = 10 mm | Fillet radius (inner) |
| N = 85.7 kN | Design axial force |
| ℓ = 150 cm | Effective length of the bar member |
Results in MAGNUM:
Steel: S355
Importance factor 1
Effective length factor for torsional buckling:
coefficient to the geometric length = 1
Section
|
h = 102 mm |
Member length 1,5 m
Effective length factor in the XOY plane - 1
Effective length factor in the XOZ plane - 1
Type of moment diagram
Load position
Height of the load application point = 0 mm
Length between restraints out of the bending plane:
geometric length factor = 1
Effective length factors depending on the boundary conditions of the support sections:
rotation out of the bending plane = 1
warping = 1
|
|
N |
My |
Vz |
Mz |
Vy |
T |
B |
Tw |
|---|---|---|---|---|---|---|---|---|
|
kN |
t*m |
kN |
t*m |
kN |
t*m |
kN*m2 |
t*m |
|
|
1 |
-85,7 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Comparison of solutions
|
Factor |
[1], p.143…165 |
MAGNUM, EN1993-1-1 |
% |
|---|---|---|---|
|
Strength of member |
0,634 |
0.643 |
1,42 |
|
Stability under axial compression (flexural buckling about the y-y axis) |
85,7/156,2 = 0,549 |
0.556 |
1,26 |
|
Stability under axial compression (torsional-flexural buckling) |
85,7/109,7 = 0,781 |
0.791 |
1,26 |
|
Stability under eccentric compression |
1,0 |
0.684 |
31,6 |
Comments
When assessing the overall stability of a bar member under eccentric compression in [1] its load-bearing capacity was calculated using a simplified approach based on the formula according to 6.2.5(2), (6.36) EN1993-1-3. In MAGNUM the overall stability of a cold-formed bar member is determined more accurately according to 6.2.5(1) EN1993-1-3.