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CF SHS 40×40×4 - Section Properties

The CF SHS 40×40×4 is a square hollow section with a mass of 4.2 kg/m, an overall depth of 40 mm and width of 40 mm and a wall thickness of 4 mm. It has a cross-sectional area of 5.35 cm², a second moment of area Iᵧ of 11.1 cm⁴, a plastic modulus Wₚₗ,ᵧ of 7.01 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
4.2 kg/m
Depth
40 mm
Width
40 mm
Wall thickness
4 mm
Area
5.35 cm²
Ask about capacity, buckling or detailing for CF SHS 40×40×4.
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SHS Cold-formed section profile showing the dimension symbols used for CF SHS 40×40×4

Dimension symbols for SHS Cold-formed sections. Not to scale.

CF SHS 40×40×4 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh40
Width of sectionb40
Wall thicknesst4

Mass and area

Mass per metremass4.2
Cross-sectional areaA5.35

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy11.1
Elastic section modulus about y-axisWel,y5.54
Plastic section modulus about y-axisWpl,y7.01
Radius of gyration about y-axisiy1.44

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz11.1
Elastic section modulus about z-axisWel,z5.54
Plastic section modulus about z-axisWpl,z7.01
Radius of gyration about z-axisiz1.44

Torsion and warping

Torsion constant (St Venant)It19.4
Section modulus for torsionWt8.48

Surface area

Surface area per metreSA/m0.146
Surface area per tonneSA/t34.7m²/t

Is CF SHS 40×40×4 strong enough?

Simply supported beam, uniform load, major-axis bending - to EN 1993-1-1.

Passes - 60% utilised, deflection governs
Bending23%
0.6 / 2.5 kNm
Shear4%
2.3 / 54.8 kN
Deflection60%
1.7 / 2.8 mm

Class 1 section. ULS uses γQ = 1.5 on the load you enter; deflection uses the unfactored load against L/360. Lateral-torsional buckling is not included - the compression flange is assumed restrained.

Common questions about CF SHS 40×40×4

CF SHS 40×40×4 has a mass of 4.2 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 50 kg, which is the figure to use for a steel take-off or when checking a lift.

CF SHS 40×40×4 has a depth of 40 mm, a width of 40 mm, a wall thickness of 4 mm, with a cross-sectional area of 5.35 cm². These are the nominal dimensions from BS EN 10219-2:2006; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 7.01 cm³, and the elastic modulus Wel,y is 5.54 cm³. Wpl,y is what sets the moment capacity of a Class 1 or 2 section: M_pl,Rd = Wpl,y x f_y / gamma_M0, so at S355 with gamma_M0 = 1.0 this section reaches about 2 kNm before any stability check.

The second moment of area about the major axis, Iy, is 11.1 cm⁴, and about the minor axis Iz is 11.1 cm⁴. Iy is the value deflection depends on - for a simply supported beam under a uniform load, the midspan deflection is 5wL⁴/384EIy - so on spans where a deflection limit governs rather than strength, this is the number that decides the section.

iy is 1.44 cm about the major axis and iz is 1.44 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.44 cm a 0.1 m effective length already gives lambda = 100. Minor-axis buckling almost always controls unless the weak axis is restrained.

The St Venant torsion constant It is 19.4 cm⁴. Closed sections carry torsion in a shear flow around the perimeter, which makes them far stiffer in torsion than an open section of the same weight and is usually why one is specified.

Related SHS Cold-formed sizes

CF SHS 30×30×3CF SHS 40×40×2CF SHS 40×40×2.5CF SHS 40×40×3CF SHS 50×50×2.5CF SHS 50×50×3CF SHS 50×50×4CF SHS 50×50×5

Compare with other sections

Side-by-side properties against the closest equivalent in each catalogue.

vs SHS 40×40×3.6vs SHS 40×40×4

Learn more

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