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CF RHS 450×250×12 - Section Properties

The CF RHS 450×250×12 is a rectangular hollow section with a mass of 123 kg/m, an overall depth of 450 mm and width of 250 mm and a wall thickness of 12 mm. It has a cross-sectional area of 156 cm², a second moment of area Iᵧ of 41100 cm⁴, a plastic modulus Wₚₗ,ᵧ of 2260 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
123 kg/m
Depth
450 mm
Width
250 mm
Wall thickness
12 mm
Area
156 cm²
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RHS Cold-formed section profile showing the dimension symbols used for CF RHS 450×250×12

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

CF RHS 450×250×12 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh450
Width of sectionb250
Wall thicknesst12

Mass and area

Mass per metremass123
Cross-sectional areaA156

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy41100
Elastic section modulus about y-axisWel,y1830
Plastic section modulus about y-axisWpl,y2260
Radius of gyration about y-axisiy16.2

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz16700
Elastic section modulus about z-axisWel,z1330
Plastic section modulus about z-axisWpl,z1520
Radius of gyration about z-axisiz10.3

Torsion and warping

Torsion constant (St Venant)It39600
Section modulus for torsionWt2310

Classification and stability

Flange local-buckling ratiocf/tf17.8
Web local-buckling ratiocw/tw34.5

Surface area

Surface area per metreSA/m1.34
Surface area per tonneSA/t10.9m²/t

Is CF RHS 450×250×12 strong enough?

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

Passes - 59% utilised, deflection governs
Bending28%
227.8 / 802.3 kNm
Shear5%
101.3 / 2055.4 kN
Deflection59%
14.8 / 25.0 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 450×250×12

CF RHS 450×250×12 has a mass of 123 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 1476 kg, which is the figure to use for a steel take-off or when checking a lift.

CF RHS 450×250×12 has a depth of 450 mm, a width of 250 mm, a wall thickness of 12 mm, with a cross-sectional area of 156 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 2,260 cm³, and the elastic modulus Wel,y is 1,830 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 802 kNm before any stability check.

The second moment of area about the major axis, Iy, is 41,100 cm⁴, and about the minor axis Iz is 16,700 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 = 17.8 for the flange and cw/tw = 34.5 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 16.2 cm about the major axis and iz is 10.3 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 10.3 cm a 1.0 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 39,600 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 450×250×6CF RHS 450×250×6.3CF RHS 450×250×8CF RHS 450×250×10CF RHS 450×250×12.5CF RHS 500×300×6CF RHS 500×300×6.3CF RHS 500×300×8

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