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RHS 100×50×4.5 - Section Properties

The RHS 100×50×4.5 is a steel section with a mass of 9.7 kg/m, an overall depth of 100 mm and width of 50 mm and a wall thickness of 4.5 mm. It has a cross-sectional area of 12.2 cm², a second moment of area Iᵧ of 147 cm⁴, a plastic modulus Wₚₗ,ᵧ of 37.6 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
9.7 kg/m
Depth
100 mm
Width
50 mm
Wall thickness
4.5 mm
Area
12.2 cm²
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RHS Cold-formed section profile showing the dimension symbols used for RHS 100×50×4.5

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

RHS 100×50×4.5 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh100
Width of sectionb50
Wall thicknesst4.5

Mass and area

Mass per metremass9.7
Cross-sectional areaA12.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy147
Elastic section modulus about y-axisWel,y29.3
Plastic section modulus about y-axisWpl,y37.6
Radius of gyration about y-axisiy3.47

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz48.9
Elastic section modulus about z-axisWel,z19.5
Plastic section modulus about z-axisWpl,z23
Radius of gyration about z-axisiz2

Torsion and warping

Torsion constant (St Venant)It124
Section modulus for torsionWt34.2

Surface area

Surface area per metreSA/m0.285

Is RHS 100×50×4.5 strong enough?

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

Passes - 61% utilised, deflection governs
Bending28%
3.8 / 13.3 kNm
Shear4%
7.5 / 166.7 kN
Deflection61%
3.4 / 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 100×50×4.5

RHS 100×50×4.5 has a mass of 9.7 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 116 kg, which is the figure to use for a steel take-off or when checking a lift.

RHS 100×50×4.5 has a depth of 100 mm, a width of 50 mm, a wall thickness of 4.5 mm, with a cross-sectional area of 12.2 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 37.6 cm³, and the elastic modulus Wel,y is 29.3 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 13 kNm before any stability check.

The second moment of area about the major axis, Iy, is 147 cm⁴, and about the minor axis Iz is 48.9 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 3.47 cm about the major axis and iz is 2 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2 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 124 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 100×50×2.3RHS 100×50×3RHS 100×50×3.2RHS 100×50×4RHS 100×50×5RHS 100×50×6RHS 100×50×6.3RHS 100×60×3

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