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CF SHS 400×400×6 - Section Properties

The CF SHS 400×400×6 is a square hollow section with a mass of 73.5 kg/m, an overall depth of 400 mm and width of 400 mm and a wall thickness of 6 mm. It has a cross-sectional area of 93.6 cm², a second moment of area Iᵧ of 24100 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1380 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
73.5 kg/m
Depth
400 mm
Width
400 mm
Wall thickness
6 mm
Area
93.6 cm²
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SHS Cold-formed section profile showing the dimension symbols used for CF SHS 400×400×6

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

CF SHS 400×400×6 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh400
Width of sectionb400
Wall thicknesst6

Mass and area

Mass per metremass73.5
Cross-sectional areaA93.6

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy24100
Elastic section modulus about y-axisWel,y1210
Plastic section modulus about y-axisWpl,y1380
Radius of gyration about y-axisiy16

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz24100
Elastic section modulus about z-axisWel,z1210
Plastic section modulus about z-axisWpl,z1380
Radius of gyration about z-axisiz16

Torsion and warping

Torsion constant (St Venant)It37000
Section modulus for torsionWt1810

Surface area

Surface area per metreSA/m1.58
Surface area per tonneSA/t21.5m²/t

Common questions about CF SHS 400×400×6

CF SHS 400×400×6 has a mass of 73.5 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 882 kg, which is the figure to use for a steel take-off or when checking a lift.

CF SHS 400×400×6 has a depth of 400 mm, a width of 400 mm, a wall thickness of 6 mm, with a cross-sectional area of 93.6 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 1,380 cm³, and the elastic modulus Wel,y is 1,210 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 490 kNm before any stability check.

The second moment of area about the major axis, Iy, is 24,100 cm⁴, and about the minor axis Iz is 24,100 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 16 cm about the major axis and iz is 16 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 16 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 37,000 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 350×350×8CF SHS 350×350×10CF SHS 350×350×12CF SHS 350×350×12.5CF SHS 400×400×6.3CF SHS 400×400×8CF SHS 400×400×10CF SHS 400×400×12

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