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RHS 90×50×4 - Section Properties

The RHS 90×50×4 is a rectangular hollow 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 BS EN 10210-2:2006 (SCI P363 Blue Book).

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

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

RHS 90×50×4 section properties to BS EN 10210-2:2006.

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

Classification and stability

Flange local-buckling ratiocf/tf9.5
Web local-buckling ratiocw/tw19.5

Surface area

Surface area per metreSA/m0.27
Surface area per tonneSA/t33.2m²/t

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 BS EN 10210-2:2006. 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 BS EN 10210-2:2006; 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.

Its local-buckling ratios are cf/tf = 9.5 for the flange and cw/tw = 19.5 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 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 Hot-finished sizes

RHS 80×40×8RHS 90×50×3RHS 90×50×3.2RHS 90×50×3.6RHS 90×50×5RHS 90×50×6.3RHS 90×50×7.1RHS 90×50×8

Compare with other sections

Side-by-side properties against the closest equivalent in each catalogue.

vs CF RHS 90×50×4

Learn more

📘 How to read a steel section table (UB, UC, IPE, HE)📘 Section modulus explained: elastic (Wel) vs plastic (Wpl)📘 SHS vs RHS vs CHS: choosing a hollow steel section
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