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CF RHS 400×200×12 - Section Properties

The CF RHS 400×200×12 is a rectangular hollow section with a mass of 104 kg/m, an overall depth of 400 mm and width of 200 mm and a wall thickness of 12 mm. It has a cross-sectional area of 132 cm², a second moment of area Iᵧ of 26200 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1660 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
104 kg/m
Depth
400 mm
Width
200 mm
Wall thickness
12 mm
Area
132 cm²
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RHS Cold-formed section profile showing the dimension symbols used for CF RHS 400×200×12

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

CF RHS 400×200×12 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh400
Width of sectionb200
Wall thicknesst12

Mass and area

Mass per metremass104
Cross-sectional areaA132

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy26200
Elastic section modulus about y-axisWel,y1310
Plastic section modulus about y-axisWpl,y1660
Radius of gyration about y-axisiy14.1

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz8980
Elastic section modulus about z-axisWel,z898
Plastic section modulus about z-axisWpl,z1030
Radius of gyration about z-axisiz8.24

Torsion and warping

Torsion constant (St Venant)It22800
Section modulus for torsionWt1590

Classification and stability

Flange local-buckling ratiocf/tf13.7
Web local-buckling ratiocw/tw30.3

Surface area

Surface area per metreSA/m1.14
Surface area per tonneSA/t11m²/t

Is CF RHS 400×200×12 strong enough?

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

Passes - 61% utilised, deflection governs
Bending29%
168.0 / 589.3 kNm
Shear5%
84.0 / 1803.6 kN
Deflection61%
13.6 / 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 400×200×12

CF RHS 400×200×12 has a mass of 104 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 1248 kg, which is the figure to use for a steel take-off or when checking a lift.

CF RHS 400×200×12 has a depth of 400 mm, a width of 200 mm, a wall thickness of 12 mm, with a cross-sectional area of 132 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 1,660 cm³, and the elastic modulus Wel,y is 1,310 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 589 kNm before any stability check.

The second moment of area about the major axis, Iy, is 26,200 cm⁴, and about the minor axis Iz is 8,980 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 = 13.7 for the flange and cw/tw = 30.3 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 14.1 cm about the major axis and iz is 8.24 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 8.24 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 22,800 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 400×200×6CF RHS 400×200×6.3CF RHS 400×200×8CF RHS 400×200×10CF RHS 400×200×12.5CF RHS 450×250×6CF RHS 450×250×6.3CF RHS 450×250×8

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