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SHS 500×500×12 - Section Properties

The SHS 500×500×12 is a steel section with a mass of 181 kg/m, an overall depth of 500 mm and width of 500 mm and a wall thickness of 12 mm. It has a cross-sectional area of 233 cm², a second moment of area Iᵧ of 92030 cm⁴, a plastic modulus Wₚₗ,ᵧ of 4248 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
181 kg/m
Depth
500 mm
Width
500 mm
Wall thickness
12 mm
Area
233 cm²
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SHS section profile showing the dimension symbols used for SHS 500×500×12

Dimension symbols for SHS sections. Not to scale.

SHS 500×500×12 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh500
Width of sectionb500
Wall thicknesst12

Mass and area

Mass per metremass181
Cross-sectional areaA233

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy92030
Elastic section modulus about y-axisWel,y3681
Plastic section modulus about y-axisWpl,y4248
Radius of gyration about y-axisiy19.89

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz92030
Elastic section modulus about z-axisWel,z3681
Plastic section modulus about z-axisWpl,z4248
Radius of gyration about z-axisiz19.89

Torsion and warping

Torsion constant (St Venant)It141200
Section modulus for torsionWt5451

Surface area

Surface area per metreSA/m1.97

Common questions about SHS 500×500×12

SHS 500×500×12 has a mass of 181 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 2172 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 500×500×12 has a depth of 500 mm, a width of 500 mm, a wall thickness of 12 mm, with a cross-sectional area of 233 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 4,248 cm³, and the elastic modulus Wel,y is 3,681 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 1508 kNm before any stability check.

The second moment of area about the major axis, Iy, is 92,030 cm⁴, and about the minor axis Iz is 92,030 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 19.89 cm about the major axis and iz is 19.89 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 19.89 cm a 2.0 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 141,200 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 450×450×22SHS 450×450×25SHS 450×450×28SHS 450×450×32SHS 500×500×16SHS 500×500×19SHS 500×500×22SHS 500×500×25

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