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CHS 457×20 - Section Properties

The CHS 457×20 is a steel section with a mass of 215.54 kg/m, an overall depth of 457 mm and width of 457 mm and a wall thickness of 20 mm. It has a cross-sectional area of 275 cm², a second moment of area Iᵧ of 65680 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3822 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
215.54 kg/m
Depth
457 mm
Width
457 mm
Wall thickness
20 mm
Area
275 cm²
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CHS section profile showing the dimension symbols used for CHS 457×20

Dimension symbols for CHS sections. Not to scale.

CHS 457×20 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh457
Width of sectionb457
Wall thicknesst20

Mass and area

Mass per metremass215.54
Cross-sectional areaA275

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy65680
Elastic section modulus about y-axisWel,y2874
Plastic section modulus about y-axisWpl,y3822
Radius of gyration about y-axisiy15.5

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz65680
Elastic section modulus about z-axisWel,z2874
Plastic section modulus about z-axisWpl,z3822
Radius of gyration about z-axisiz15.5

Torsion and warping

Torsion constant (St Venant)It131400
Section modulus for torsionWt5749

Surface area

Surface area per metreSA/m1.44

Is CHS 457×20 strong enough?

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

Passes - 59% utilised, deflection governs
Bending28%
364.5 / 1318.6 kNm
Shear6%
162.0 / 2738.8 kN
Deflection59%
14.9 / 25.0 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 457×20

CHS 457×20 has a mass of 215.54 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 2586 kg, which is the figure to use for a steel take-off or when checking a lift.

CHS 457×20 has a depth of 457 mm, a width of 457 mm, a wall thickness of 20 mm, with a cross-sectional area of 275 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 3,822 cm³, and the elastic modulus Wel,y is 2,874 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 1357 kNm before any stability check.

The second moment of area about the major axis, Iy, is 65,680 cm⁴, and about the minor axis Iz is 65,680 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 15.5 cm about the major axis and iz is 15.5 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 15.5 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 131,400 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 457×12CHS 457×12.5CHS 457×14.2CHS 457×16CHS 457×25CHS 457×32CHS 457×40CHS 508×6.3

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