Calculation of the Gross Cross-Sectional Properties of a Load-Bearing Member from a Cold-Formed Hat Channel

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

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. – 1^st Ed., ECCS CECM, EKS, 2008. – 235 p.

Compliance with the codes: EN 1993-1-3.

Initial data file:

Task 1.3.sav; report – Report 1.3.doc

Program version: MAGNUM 23.1.1.3, 07.02.2024

Initial data:

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:

Section

h = 175 mm
b = 180 mm
s = 3 mm
a = 95 mm
r = 3,5 mm

Comparison of solutions

Geometric property	[1], p. 170	MAGNUM, EN1993-1-1	%
Gross cross-sectional area, mm²	2113,2	2113,2	0
Moment of inertia about the y-y axis, mm⁴	10,994×10⁶	10997360	0,03
Moment of inertia about the z-z axis, mm⁴	19,231×10⁶	19231920	0.005

Comments

The calculation of the gross cross-sectional properties in MAGNUM is performed accurately, taking into account the fillets, due to which the calculation results correspond to the exact analytical solution.