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CF RHS 50×25×2 - Section Properties

The CF RHS 50×25×2 is a rectangular hollow section with a mass of 2.15 kg/m, an overall depth of 50 mm and width of 25 mm and a wall thickness of 2 mm. It has a cross-sectional area of 2.74 cm², a second moment of area Iᵧ of 8.38 cm⁴, a plastic modulus Wₚₗ,ᵧ of 4.26 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
2.15 kg/m
Depth
50 mm
Width
25 mm
Wall thickness
2 mm
Area
2.74 cm²
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RHS Cold-formed section profile showing the dimension symbols used for CF RHS 50×25×2

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

CF RHS 50×25×2 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh50
Width of sectionb25
Wall thicknesst2

Mass and area

Mass per metremass2.15
Cross-sectional areaA2.74

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy8.38
Elastic section modulus about y-axisWel,y3.35
Plastic section modulus about y-axisWpl,y4.26
Radius of gyration about y-axisiy1.75

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz2.81
Elastic section modulus about z-axisWel,z2.25
Plastic section modulus about z-axisWpl,z2.62
Radius of gyration about z-axisiz1.01

Torsion and warping

Torsion constant (St Venant)It7.06
Section modulus for torsionWt3.92

Classification and stability

Flange local-buckling ratiocf/tf9.5
Web local-buckling ratiocw/tw22

Surface area

Surface area per metreSA/m0.143
Surface area per tonneSA/t66.5m²/t

Is CF RHS 50×25×2 strong enough?

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

Passes - 67% utilised, deflection governs
Bending31%
0.5 / 1.5 kNm
Shear5%
1.9 / 37.4 kN
Deflection67%
1.8 / 2.8 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 50×25×2

CF RHS 50×25×2 has a mass of 2.15 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 26 kg, which is the figure to use for a steel take-off or when checking a lift.

CF RHS 50×25×2 has a depth of 50 mm, a width of 25 mm, a wall thickness of 2 mm, with a cross-sectional area of 2.74 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 4.26 cm³, and the elastic modulus Wel,y is 3.35 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 2 kNm before any stability check.

The second moment of area about the major axis, Iy, is 8.38 cm⁴, and about the minor axis Iz is 2.81 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 = 9.5 for the flange and cw/tw = 22 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 1.75 cm about the major axis and iz is 1.01 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.01 cm a 0.1 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 7.06 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 50×25×2.5CF RHS 50×25×3CF RHS 50×30×2CF RHS 50×30×2.5CF RHS 50×30×3CF RHS 50×30×4CF RHS 60×40×2.5CF RHS 60×40×3

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