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RHS 75×50×6 - Section Properties

The RHS 75×50×6 is a steel section with a mass of 9.92 kg/m, an overall depth of 75 mm and width of 50 mm and a wall thickness of 6 mm. It has a cross-sectional area of 12.6 cm², a second moment of area Iᵧ of 84.4 cm⁴, a plastic modulus Wₚₗ,ᵧ of 29.2 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
9.92 kg/m
Depth
75 mm
Width
50 mm
Wall thickness
6 mm
Area
12.6 cm²
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RHS Cold-formed section profile showing the dimension symbols used for RHS 75×50×6

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

RHS 75×50×6 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh75
Width of sectionb50
Wall thicknesst6

Mass and area

Mass per metremass9.92
Cross-sectional areaA12.6

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy84.4
Elastic section modulus about y-axisWel,y22.5
Plastic section modulus about y-axisWpl,y29.2
Radius of gyration about y-axisiy2.58

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz44.1
Elastic section modulus about z-axisWel,z17.6
Plastic section modulus about z-axisWpl,z21.9
Radius of gyration about z-axisiz1.87

Torsion and warping

Torsion constant (St Venant)It102
Section modulus for torsionWt29.8

Surface area

Surface area per metreSA/m0.229

Is RHS 75×50×6 strong enough?

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

Passes - 58% utilised, deflection governs
Bending26%
2.7 / 10.4 kNm
Shear5%
7.3 / 154.9 kN
Deflection58%
2.4 / 4.2 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 75×50×6

RHS 75×50×6 has a mass of 9.92 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 119 kg, which is the figure to use for a steel take-off or when checking a lift.

RHS 75×50×6 has a depth of 75 mm, a width of 50 mm, a wall thickness of 6 mm, with a cross-sectional area of 12.6 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 29.2 cm³, and the elastic modulus Wel,y is 22.5 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 10 kNm before any stability check.

The second moment of area about the major axis, Iy, is 84.4 cm⁴, and about the minor axis Iz is 44.1 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 2.58 cm about the major axis and iz is 1.87 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.87 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 102 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

RHS 75×50×4.5RHS 75×50×4.6RHS 75×50×4.8RHS 75×50×5RHS 80×40×3RHS 80×40×4RHS 90×50×3RHS 90×50×3.6

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