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CHS 406.4×20 - Section Properties

The CHS 406.4×20 is a steel section with a mass of 190.58 kg/m, an overall depth of 406.4 mm and width of 406.4 mm and a wall thickness of 20 mm. It has a cross-sectional area of 243 cm², a second moment of area Iᵧ of 45430 cm⁴, a plastic modulus Wₚₗ,ᵧ of 2989 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
190.58 kg/m
Depth
406.4 mm
Width
406.4 mm
Wall thickness
20 mm
Area
243 cm²
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CHS section profile showing the dimension symbols used for CHS 406.4×20

Dimension symbols for CHS sections. Not to scale.

CHS 406.4×20 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh406.4
Width of sectionb406.4
Wall thicknesst20

Mass and area

Mass per metremass190.58
Cross-sectional areaA243

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy45430
Elastic section modulus about y-axisWel,y2236
Plastic section modulus about y-axisWpl,y2989
Radius of gyration about y-axisiy13.7

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz45430
Elastic section modulus about z-axisWel,z2236
Plastic section modulus about z-axisWpl,z2989
Radius of gyration about z-axisiz13.7

Torsion and warping

Torsion constant (St Venant)It90860
Section modulus for torsionWt4472

Surface area

Surface area per metreSA/m1.28

Is CHS 406.4×20 strong enough?

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

Passes - 60% utilised, deflection governs
Bending28%
288.0 / 1031.2 kNm
Shear6%
144.0 / 2420.1 kN
Deflection60%
13.4 / 22.2 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 CHS 406.4×20

CHS 406.4×20 has a mass of 190.58 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 2287 kg, which is the figure to use for a steel take-off or when checking a lift.

CHS 406.4×20 has a depth of 406.4 mm, a width of 406.4 mm, a wall thickness of 20 mm, with a cross-sectional area of 243 cm². These are the nominal dimensions from EN 10219; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 2,989 cm³, and the elastic modulus Wel,y is 2,236 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 1061 kNm before any stability check.

The second moment of area about the major axis, Iy, is 45,430 cm⁴, and about the minor axis Iz is 45,430 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 13.7 cm about the major axis and iz is 13.7 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 13.7 cm a 1.4 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 90,860 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 CHS sizes

CHS 406.4×12.5CHS 406.4×14CHS 406.4×14.2CHS 406.4×16CHS 406.4×25CHS 406.4×32CHS 457×6.3CHS 457×8

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