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CF RHS 70×40×5 - Section Properties

The CF RHS 70×40×5 is a rectangular hollow section with a mass of 7.34 kg/m, an overall depth of 70 mm and width of 40 mm and a wall thickness of 5 mm. It has a cross-sectional area of 9.36 cm², a second moment of area Iᵧ of 52.9 cm⁴, a plastic modulus Wₚₗ,ᵧ of 19.8 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
7.34 kg/m
Depth
70 mm
Width
40 mm
Wall thickness
5 mm
Area
9.36 cm²
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RHS Cold-formed section profile showing the dimension symbols used for CF RHS 70×40×5

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

CF RHS 70×40×5 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh70
Width of sectionb40
Wall thicknesst5

Mass and area

Mass per metremass7.34
Cross-sectional areaA9.36

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy52.9
Elastic section modulus about y-axisWel,y15.1
Plastic section modulus about y-axisWpl,y19.8
Radius of gyration about y-axisiy2.38

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz21.5
Elastic section modulus about z-axisWel,z10.8
Plastic section modulus about z-axisWpl,z13.3
Radius of gyration about z-axisiz1.52

Torsion and warping

Torsion constant (St Venant)It53.8
Section modulus for torsionWt18.7

Classification and stability

Flange local-buckling ratiocf/tf5
Web local-buckling ratiocw/tw11

Surface area

Surface area per metreSA/m0.203
Surface area per tonneSA/t27.6m²/t

Is CF RHS 70×40×5 strong enough?

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

Passes - 57% utilised, deflection governs
Bending24%
1.7 / 7.0 kNm
Shear4%
4.5 / 122.1 kN
Deflection57%
2.4 / 4.2 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 CF RHS 70×40×5

CF RHS 70×40×5 has a mass of 7.34 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 88 kg, which is the figure to use for a steel take-off or when checking a lift.

CF RHS 70×40×5 has a depth of 70 mm, a width of 40 mm, a wall thickness of 5 mm, with a cross-sectional area of 9.36 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 19.8 cm³, and the elastic modulus Wel,y is 15.1 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 7 kNm before any stability check.

The second moment of area about the major axis, Iy, is 52.9 cm⁴, and about the minor axis Iz is 21.5 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.

Its local-buckling ratios are cf/tf = 5 for the flange and cw/tw = 11 for the web. EN 1993-1-1 Table 5.2 compares these against limits scaled by epsilon = sqrt(235/f_y), so the class depends on the steel grade as well as the geometry - the same section can be Class 1 in S275 and Class 3 in S355. Use the Capacity tab on this page for the classification at a specific grade.

iy is 2.38 cm about the major axis and iz is 1.52 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.52 cm a 0.2 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 53.8 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 RHS Cold-formed sizes

CF RHS 60×40×4CF RHS 60×40×5CF RHS 70×40×3CF RHS 70×40×4CF RHS 70×50×3CF RHS 70×50×4CF RHS 70×50×5CF RHS 80×40×3

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