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RHS 50×30×3.2 - Section Properties

The RHS 50×30×3.2 is a rectangular hollow section with a mass of 3.61 kg/m, an overall depth of 50 mm and width of 30 mm and a wall thickness of 3.2 mm. It has a cross-sectional area of 4.6 cm², a second moment of area Iᵧ of 14.2 cm⁴, a plastic modulus Wₚₗ,ᵧ of 7.25 cm³, tabulated by CivilAxis from BS EN 10210-2:2006 (SCI P363 Blue Book).

Mass
3.61 kg/m
Depth
50 mm
Width
30 mm
Wall thickness
3.2 mm
Area
4.6 cm²
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RHS Hot-finished section profile showing the dimension symbols used for RHS 50×30×3.2

Dimension symbols for RHS Hot-finished sections. Not to scale.

RHS 50×30×3.2 section properties to BS EN 10210-2:2006.

Geometry

Depth of sectionh50
Width of sectionb30
Wall thicknesst3.2

Mass and area

Mass per metremass3.61
Cross-sectional areaA4.6

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy14.2
Elastic section modulus about y-axisWel,y5.68
Plastic section modulus about y-axisWpl,y7.25
Radius of gyration about y-axisiy1.76

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz6.2
Elastic section modulus about z-axisWel,z4.13
Plastic section modulus about z-axisWpl,z5
Radius of gyration about z-axisiz1.16

Torsion and warping

Torsion constant (St Venant)It14.2
Section modulus for torsionWt6.8

Classification and stability

Flange local-buckling ratiocf/tf6.38
Web local-buckling ratiocw/tw12.6

Surface area

Surface area per metreSA/m0.152
Surface area per tonneSA/t42.1m²/t

Is RHS 50×30×3.2 strong enough?

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

Passes - 63% utilised, deflection governs
Bending29%
0.8 / 2.6 kNm
Shear5%
3.0 / 58.9 kN
Deflection63%
1.7 / 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 RHS 50×30×3.2

RHS 50×30×3.2 has a mass of 3.61 kg/m, tabulated to BS EN 10210-2:2006. A 12 m length therefore weighs about 43 kg, which is the figure to use for a steel take-off or when checking a lift.

RHS 50×30×3.2 has a depth of 50 mm, a width of 30 mm, a wall thickness of 3.2 mm, with a cross-sectional area of 4.6 cm². These are the nominal dimensions from BS EN 10210-2:2006; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 7.25 cm³, and the elastic modulus Wel,y is 5.68 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 3 kNm before any stability check.

The second moment of area about the major axis, Iy, is 14.2 cm⁴, and about the minor axis Iz is 6.2 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 = 6.38 for the flange and cw/tw = 12.6 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 1.76 cm about the major axis and iz is 1.16 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.16 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 14.2 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 Hot-finished sizes

RHS 50×30×3RHS 50×30×3.6RHS 50×30×4RHS 50×30×5RHS 60×40×3RHS 60×40×3.2RHS 60×40×3.6RHS 60×40×4

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