Calculation of the Gross Cross-Sectional Properties of a Load-Bearing Member from a С-shaped Cold-Formed Profile (Rotation of the Principal Axes of Inertia)

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

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

Initial data file:
Task 1.1.sav; report – Report 1.1.doc

Program version: MAGNUM 23.1.1.3, 07.02.2024

Initial data:

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:

Section

 

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

 

Comparison of solutions

 

Geometric property	[1], стр. 147	MAGNUM, EN1993-1-1	%
Gross cross-sectional area, cm2	7,34	7,342	0,027
Moment of inertia about the y-y axis, cm4	139,10	139,185	0,06
Section modulus about the y-y axis, cm3	140,45	140,562	0,08

 

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.