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CF SHS 400×400×12.5 - Section Properties

The CF SHS 400×400×12.5 is a square hollow section with a mass of 147 kg/m, an overall depth of 400 mm and width of 400 mm and a wall thickness of 12.5 mm. It has a cross-sectional area of 187 cm², a second moment of area Iᵧ of 45900 cm⁴, a plastic modulus Wₚₗ,ᵧ of 2680 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
147 kg/m
Depth
400 mm
Width
400 mm
Wall thickness
12.5 mm
Area
187 cm²
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SHS Cold-formed section profile showing the dimension symbols used for CF SHS 400×400×12.5

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

CF SHS 400×400×12.5 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh400
Width of sectionb400
Wall thicknesst12.5

Mass and area

Mass per metremass147
Cross-sectional areaA187

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy45900
Elastic section modulus about y-axisWel,y2290
Plastic section modulus about y-axisWpl,y2680
Radius of gyration about y-axisiy15.7

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz45900
Elastic section modulus about z-axisWel,z2290
Plastic section modulus about z-axisWpl,z2680
Radius of gyration about z-axisiz15.7

Torsion and warping

Torsion constant (St Venant)It74600
Section modulus for torsionWt3520

Surface area

Surface area per metreSA/m1.54
Surface area per tonneSA/t10.5m²/t

Is CF SHS 400×400×12.5 strong enough?

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

Passes - 60% utilised, deflection governs
Bending30%
288.0 / 951.4 kNm
Shear8%
144.0 / 1916.4 kN
Deflection60%
13.3 / 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 400×400×12.5

CF SHS 400×400×12.5 has a mass of 147 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 1764 kg, which is the figure to use for a steel take-off or when checking a lift.

CF SHS 400×400×12.5 has a depth of 400 mm, a width of 400 mm, a wall thickness of 12.5 mm, with a cross-sectional area of 187 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 2,680 cm³, and the elastic modulus Wel,y is 2,290 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 951 kNm before any stability check.

The second moment of area about the major axis, Iy, is 45,900 cm⁴, and about the minor axis Iz is 45,900 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 74,600 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

Compare with other sections

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

vs SHS 400×400×12.5

Learn more

📘 How to read a steel section table (UB, UC, IPE, HE)📘 Section modulus explained: elastic (Wel) vs plastic (Wpl)📘 SHS vs RHS vs CHS: choosing a hollow steel section
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