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RHS 400×200×12 - Section Properties

The RHS 400×200×12 is a steel 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 26250 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1656 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

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 RHS 400×200×12

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

RHS 400×200×12 section properties to EN 10219 · Continental Steel.

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-axisIy26250
Elastic section modulus about y-axisWel,y1312
Plastic section modulus about y-axisWpl,y1656
Radius of gyration about y-axisiy14.1

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz8977
Elastic section modulus about z-axisWel,z898
Plastic section modulus about z-axisWpl,z1027
Radius of gyration about z-axisiz8.24

Torsion and warping

Torsion constant (St Venant)It22780
Section modulus for torsionWt1591

Surface area

Surface area per metreSA/m1.14

Is 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 / 587.9 kNm
Shear5%
84.0 / 1803.6 kN
Deflection61%
13.5 / 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 RHS 400×200×12

RHS 400×200×12 has a mass of 104 kg/m, tabulated to EN 10219. 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.

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 EN 10219; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 1,656 cm³, and the elastic modulus Wel,y is 1,312 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 588 kNm before any stability check.

The second moment of area about the major axis, Iy, is 26,250 cm⁴, and about the minor axis Iz is 8,977 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 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 22,780 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

RHS 300×200×10RHS 300×200×12RHS 300×200×12.5RHS 400×200×6RHS 400×200×8RHS 400×200×9RHS 400×200×10RHS 400×200×12.5

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