Calculation of the Effective Cross-Sectional Properties of a Load-Bearing Member from a С-shaped Cold-Formed Profile under Bending

Task: Verify the correctness of the calculation of the effective cross-sectional properties for load-bearing members from cold-formed profiles under bending.

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 3.1.sav; report – Report 3.1.doc

Program version: MAGNUM 23.1.1.3, 07.02.2024

Initial data:

fy  = 355 N/mm2 Yield strength
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)

                                   

Results in MAGNUM:

Steel: S355

Section

h = 102 mm
b = 120 mm
s = 2 mm
h1 = 26 mm
r = 10 mm

 

Comparison of solutions

 

[1], p. 160

MAGNUM, EN1993-1-1

%

Gross cross-sectional area, cm2

6,86

6,602

3,76

Moment of inertia about the y-y axis, cm4

129,73

124,976

3,66

Section modulus about the y-y axis, cm3

122,49

113,842

7,06

 

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).