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SHS 500×500×32 - Section Properties

The SHS 500×500×32 is a steel section with a mass of 450 kg/m, an overall depth of 500 mm and width of 500 mm and a wall thickness of 32 mm. It has a cross-sectional area of 588 cm², a second moment of area Iᵧ of 212300 cm⁴, a plastic modulus Wₚₗ,ᵧ of 10242 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
450 kg/m
Depth
500 mm
Width
500 mm
Wall thickness
32 mm
Area
588 cm²
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SHS section profile showing the dimension symbols used for SHS 500×500×32

Dimension symbols for SHS sections. Not to scale.

SHS 500×500×32 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh500
Width of sectionb500
Wall thicknesst32

Mass and area

Mass per metremass450
Cross-sectional areaA588

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy212300
Elastic section modulus about y-axisWel,y8491
Plastic section modulus about y-axisWpl,y10242
Radius of gyration about y-axisiy19

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz212300
Elastic section modulus about z-axisWel,z8491
Plastic section modulus about z-axisWpl,z10242
Radius of gyration about z-axisiz19

Torsion and warping

Torsion constant (St Venant)It338200
Section modulus for torsionWt12370

Surface area

Surface area per metreSA/m1.92

Is SHS 500×500×32 strong enough?

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

Passes - 60% utilised, deflection governs
Bending30%
1068.8 / 3533.5 kNm
Shear7%
427.5 / 5856.1 kN
Deflection60%
16.6 / 27.8 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 500×500×32

SHS 500×500×32 has a mass of 450 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 5400 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 500×500×32 has a depth of 500 mm, a width of 500 mm, a wall thickness of 32 mm, with a cross-sectional area of 588 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 10,242 cm³, and the elastic modulus Wel,y is 8,491 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 3636 kNm before any stability check.

The second moment of area about the major axis, Iy, is 212,300 cm⁴, and about the minor axis Iz is 212,300 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 19 cm about the major axis and iz is 19 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 19 cm a 1.9 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 338,200 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 sizes

SHS 500×500×19SHS 500×500×22SHS 500×500×25SHS 500×500×28SHS 500×500×36SHS 550×550×16SHS 550×550×19SHS 550×550×22

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