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CF RHS 400×200×8 - Section Properties

The CF RHS 400×200×8 is a rectangular hollow section with a mass of 71.6 kg/m, an overall depth of 400 mm and width of 200 mm and a wall thickness of 8 mm. It has a cross-sectional area of 91.2 cm², a second moment of area Iᵧ of 19000 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1170 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
71.6 kg/m
Depth
400 mm
Width
200 mm
Wall thickness
8 mm
Area
91.2 cm²
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RHS Cold-formed section profile showing the dimension symbols used for CF RHS 400×200×8

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

CF RHS 400×200×8 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh400
Width of sectionb200
Wall thicknesst8

Mass and area

Mass per metremass71.6
Cross-sectional areaA91.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy19000
Elastic section modulus about y-axisWel,y949
Plastic section modulus about y-axisWpl,y1170
Radius of gyration about y-axisiy14.4

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz6520
Elastic section modulus about z-axisWel,z652
Plastic section modulus about z-axisWpl,z728
Radius of gyration about z-axisiz8.45

Torsion and warping

Torsion constant (St Venant)It15800
Section modulus for torsionWt1130

Classification and stability

Flange local-buckling ratiocf/tf22
Web local-buckling ratiocw/tw47

Surface area

Surface area per metreSA/m1.17
Surface area per tonneSA/t16.4m²/t

Is CF RHS 400×200×8 strong enough?

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

Passes - 60% utilised, deflection governs
Bending29%
120.0 / 415.4 kNm
Shear5%
60.0 / 1246.2 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 CF RHS 400×200×8

CF RHS 400×200×8 has a mass of 71.6 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 859 kg, which is the figure to use for a steel take-off or when checking a lift.

CF RHS 400×200×8 has a depth of 400 mm, a width of 200 mm, a wall thickness of 8 mm, with a cross-sectional area of 91.2 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 1,170 cm³, and the elastic modulus Wel,y is 949 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 415 kNm before any stability check.

The second moment of area about the major axis, Iy, is 19,000 cm⁴, and about the minor axis Iz is 6,520 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 = 22 for the flange and cw/tw = 47 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 14.4 cm about the major axis and iz is 8.45 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 8.45 cm a 0.8 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 15,800 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 300×200×12CF RHS 300×200×12.5CF RHS 400×200×6CF RHS 400×200×6.3CF RHS 400×200×10CF RHS 400×200×12CF RHS 400×200×12.5CF RHS 450×250×6

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