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CHS 33.7×4 - Section Properties

The CHS 33.7×4 is a steel section with a mass of 2.93 kg/m, an overall depth of 33.7 mm and width of 33.7 mm and a wall thickness of 4 mm. It has a cross-sectional area of 3.73 cm², a second moment of area Iᵧ of 4.19 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3.55 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
2.93 kg/m
Depth
33.7 mm
Width
33.7 mm
Wall thickness
4 mm
Area
3.73 cm²
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CHS Cold-formed section profile showing the dimension symbols used for CHS 33.7×4

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

CHS 33.7×4 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh33.7
Width of sectionb33.7
Wall thicknesst4

Mass and area

Mass per metremass2.93
Cross-sectional areaA3.73

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy4.19
Elastic section modulus about y-axisWel,y2.49
Plastic section modulus about y-axisWpl,y3.55
Radius of gyration about y-axisiy1.06

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz4.19
Elastic section modulus about z-axisWel,z2.49
Plastic section modulus about z-axisWpl,z3.55
Radius of gyration about z-axisiz1.06

Torsion and warping

Torsion constant (St Venant)It8.38
Section modulus for torsionWt4.97

Surface area

Surface area per metreSA/m0.106

Is CHS 33.7×4 strong enough?

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

Passes - 60% utilised, deflection governs
Bending33%
0.4 / 1.3 kNm
Shear9%
3.4 / 38.2 kN
Deflection60%
0.8 / 1.4 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 33.7×4

CHS 33.7×4 has a mass of 2.93 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 35 kg, which is the figure to use for a steel take-off or when checking a lift.

CHS 33.7×4 has a depth of 33.7 mm, a width of 33.7 mm, a wall thickness of 4 mm, with a cross-sectional area of 3.73 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 3.55 cm³, and the elastic modulus Wel,y is 2.49 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 1 kNm before any stability check.

The second moment of area about the major axis, Iy, is 4.19 cm⁴, and about the minor axis Iz is 4.19 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 1.06 cm about the major axis and iz is 1.06 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.06 cm a 0.1 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 8.38 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 Cold-formed sizes

CHS 33.7×2CHS 33.7×2.5CHS 33.7×3CHS 33.7×3.2CHS 42.4×2.5CHS 42.4×3CHS 42.4×3.2CHS 42.4×3.6

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