Calculation of the Effective Cross-Sectional Properties of a Load-Bearing Member from a Cold-Formed Hat Channel under Bending (the Flange is in Tension)
Task: Verify the correctness of the calculation of the effective cross-sectional properties for load-bearing members from cold-formed profiles under bending (the flange is in tension).
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 3.3.sav; report – Report 3.3.doc
Program version: MAGNUM 23.1.1.3, 07.02.2024
Initial data:
| fy = 355 N/mm2 | Yield strength |
| h = 180 mm | Section height (along the outer edge) |
| b = 175 mm | Flange width (along the outer edge) |
| c = 95 mm | Flange bend length (along the outer edge) |
| t = 3 mm | Profile thickness (minus the coating thickness) |
| r = 3.5 mm | Fillet radius (inner) |
Results in MAGNUM:
Steel: S355
Section
|
h = 175 mm |
Comparison of solutions
|
Geometric property |
[1], p. 180 |
MAGNUM, EN1993-1-1 |
% |
|---|---|---|---|
|
Cross-sectional area, mm2 |
1762,29 |
1773,5 |
0,63 |
|
Moment of inertia about the y-y axis, mm4 |
7,98×106 |
8,15496×106 |
2,15 |
|
Section modulus about the y-y axis, mm3 (maximum) |
110,09×103 |
106,908×103 |
2,89 |
|
Section modulus about the y-y axis, mm3 (minimum) |
76,37×103 |
78,901×103 |
3,21 |
Comments
In [1] the calculation of the effective cross-sectional properties is performed taking into account the fillets. In MAGNUM they are calculated without taking the fillets into account, which is permitted by the codes for the considered fillet radius (see Sec. 5.1(3) EN1993-1-3).