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CF SHS 400×400×12 - Section Properties

The CF SHS 400×400×12 is a square hollow section with a mass of 141 kg/m, an overall depth of 400 mm and width of 400 mm and a wall thickness of 12 mm. It has a cross-sectional area of 180 cm², a second moment of area Iᵧ of 44300 cm⁴, a plastic modulus Wₚₗ,ᵧ of 2590 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
141 kg/m
Depth
400 mm
Width
400 mm
Wall thickness
12 mm
Area
180 cm²
Ask about capacity, buckling or detailing for CF SHS 400×400×12.
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SHS Cold-formed section profile showing the dimension symbols used for CF SHS 400×400×12

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

CF SHS 400×400×12 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh400
Width of sectionb400
Wall thicknesst12

Mass and area

Mass per metremass141
Cross-sectional areaA180

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy44300
Elastic section modulus about y-axisWel,y2220
Plastic section modulus about y-axisWpl,y2590
Radius of gyration about y-axisiy15.7

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz44300
Elastic section modulus about z-axisWel,z2220
Plastic section modulus about z-axisWpl,z2590
Radius of gyration about z-axisiz15.7

Torsion and warping

Torsion constant (St Venant)It71800
Section modulus for torsionWt3400

Surface area

Surface area per metreSA/m1.54
Surface area per tonneSA/t10.9m²/t

Is CF SHS 400×400×12 strong enough?

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

Passes - 59% utilised, deflection governs
Bending30%
276.0 / 919.5 kNm
Shear7%
138.0 / 1844.6 kN
Deflection59%
13.2 / 22.2 mm

Class 2 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 400×400×12

CF SHS 400×400×12 has a mass of 141 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 1692 kg, which is the figure to use for a steel take-off or when checking a lift.

CF SHS 400×400×12 has a depth of 400 mm, a width of 400 mm, a wall thickness of 12 mm, with a cross-sectional area of 180 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 2,590 cm³, and the elastic modulus Wel,y is 2,220 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 919 kNm before any stability check.

The second moment of area about the major axis, Iy, is 44,300 cm⁴, and about the minor axis Iz is 44,300 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 15.7 cm about the major axis and iz is 15.7 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 15.7 cm a 1.6 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 71,800 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 350×350×10CF SHS 350×350×12CF SHS 350×350×12.5CF SHS 400×400×6CF SHS 400×400×6.3CF SHS 400×400×8CF SHS 400×400×10CF SHS 400×400×12.5

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