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RHS 90×50×4 - Section Properties

The RHS 90×50×4 is a steel section with a mass of 8.15 kg/m, an overall depth of 90 mm and width of 50 mm and a wall thickness of 4 mm. It has a cross-sectional area of 10.4 cm², a second moment of area Iᵧ of 107 cm⁴, a plastic modulus Wₚₗ,ᵧ of 29.8 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
8.15 kg/m
Depth
90 mm
Width
50 mm
Wall thickness
4 mm
Area
10.4 cm²
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RHS section profile showing the dimension symbols used for RHS 90×50×4

Dimension symbols for RHS sections. Not to scale.

RHS 90×50×4 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh90
Width of sectionb50
Wall thicknesst4

Mass and area

Mass per metremass8.15
Cross-sectional areaA10.4

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy107
Elastic section modulus about y-axisWel,y23.8
Plastic section modulus about y-axisWpl,y29.8
Radius of gyration about y-axisiy3.21

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz41.9
Elastic section modulus about z-axisWel,z16.8
Plastic section modulus about z-axisWpl,z19.6
Radius of gyration about z-axisiz2.01

Torsion and warping

Torsion constant (St Venant)It97.5
Section modulus for torsionWt28

Surface area

Surface area per metreSA/m0.27

Is RHS 90×50×4 strong enough?

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

Passes - 58% utilised, deflection governs
Bending25%
2.6 / 10.6 kNm
Shear4%
5.3 / 137.0 kN
Deflection58%
3.2 / 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 90×50×4

RHS 90×50×4 has a mass of 8.15 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 98 kg, which is the figure to use for a steel take-off or when checking a lift.

RHS 90×50×4 has a depth of 90 mm, a width of 50 mm, a wall thickness of 4 mm, with a cross-sectional area of 10.4 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 29.8 cm³, and the elastic modulus Wel,y is 23.8 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 11 kNm before any stability check.

The second moment of area about the major axis, Iy, is 107 cm⁴, and about the minor axis Iz is 41.9 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 3.21 cm about the major axis and iz is 2.01 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.01 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 97.5 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 80×50×10RHS 90×50×3RHS 90×50×3.2RHS 90×50×3.6RHS 90×50×5RHS 90×50×6RHS 90×50×6.3RHS 90×50×8

Learn more

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