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RHS 90×50×10 - Section Properties

The RHS 90×50×10 is a steel section with a mass of 18 kg/m, an overall depth of 90 mm and width of 50 mm and a wall thickness of 10 mm. It has a cross-sectional area of 22.9 cm², a second moment of area Iᵧ of 194 cm⁴, a plastic modulus Wₚₗ,ᵧ of 59.3 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
18 kg/m
Depth
90 mm
Width
50 mm
Wall thickness
10 mm
Area
22.9 cm²
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RHS section profile showing the dimension symbols used for RHS 90×50×10

Dimension symbols for RHS sections. Not to scale.

RHS 90×50×10 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh90
Width of sectionb50
Wall thicknesst10

Mass and area

Mass per metremass18
Cross-sectional areaA22.9

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy194
Elastic section modulus about y-axisWel,y43
Plastic section modulus about y-axisWpl,y59.3
Radius of gyration about y-axisiy2.91

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz70.2
Elastic section modulus about z-axisWel,z28.1
Plastic section modulus about z-axisWpl,z37.4
Radius of gyration about z-axisiz1.75

Torsion and warping

Torsion constant (St Venant)It179
Section modulus for torsionWt47.1

Surface area

Surface area per metreSA/m0.254

Is RHS 90×50×10 strong enough?

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

Passes - 60% utilised, deflection governs
Bending23%
4.9 / 21.1 kNm
Shear3%
9.8 / 301.7 kN
Deflection60%
3.3 / 5.6 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 90×50×10

RHS 90×50×10 has a mass of 18 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 216 kg, which is the figure to use for a steel take-off or when checking a lift.

RHS 90×50×10 has a depth of 90 mm, a width of 50 mm, a wall thickness of 10 mm, with a cross-sectional area of 22.9 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 59.3 cm³, and the elastic modulus Wel,y is 43 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 21 kNm before any stability check.

The second moment of area about the major axis, Iy, is 194 cm⁴, and about the minor axis Iz is 70.2 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.

iy is 2.91 cm about the major axis and iz is 1.75 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.75 cm a 0.2 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 179 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 sizes

RHS 90×50×5RHS 90×50×6RHS 90×50×6.3RHS 90×50×8RHS 100×50×3RHS 100×50×3.2RHS 100×50×4RHS 100×50×5

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