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SHS 50×50×5 - Section Properties

The SHS 50×50×5 is a steel section with a mass of 6.69 kg/m, an overall depth of 50 mm and width of 50 mm and a wall thickness of 5 mm. It has a cross-sectional area of 8.36 cm², a second moment of area Iᵧ of 27 cm⁴, a plastic modulus Wₚₗ,ᵧ of 13.7 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
6.69 kg/m
Depth
50 mm
Width
50 mm
Wall thickness
5 mm
Area
8.36 cm²
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SHS Cold-formed section profile showing the dimension symbols used for SHS 50×50×5

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

SHS 50×50×5 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh50
Width of sectionb50
Wall thicknesst5

Mass and area

Mass per metremass6.69
Cross-sectional areaA8.36

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy27
Elastic section modulus about y-axisWel,y10.8
Plastic section modulus about y-axisWpl,y13.7
Radius of gyration about y-axisiy1.8

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz27
Elastic section modulus about z-axisWel,z10.8
Plastic section modulus about z-axisWpl,z13.7
Radius of gyration about z-axisiz1.8

Torsion and warping

Torsion constant (St Venant)It47.5
Section modulus for torsionWt16.6

Surface area

Surface area per metreSA/m0.183

Is SHS 50×50×5 strong enough?

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

Passes - 62% utilised, deflection governs
Bending29%
1.4 / 4.9 kNm
Shear7%
5.6 / 85.7 kN
Deflection62%
1.7 / 2.8 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 SHS 50×50×5

SHS 50×50×5 has a mass of 6.69 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 80 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 50×50×5 has a depth of 50 mm, a width of 50 mm, a wall thickness of 5 mm, with a cross-sectional area of 8.36 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 13.7 cm³, and the elastic modulus Wel,y is 10.8 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 5 kNm before any stability check.

The second moment of area about the major axis, Iy, is 27 cm⁴, and about the minor axis Iz is 27 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 1.8 cm about the major axis and iz is 1.8 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.8 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 47.5 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 SHS Cold-formed sizes

SHS 50×50×4SHS 50×50×4.5SHS 50×50×4.6SHS 50×50×4.8SHS 50×50×6SHS 50×50×6.4SHS 60×60×1.6SHS 60×60×2.3

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