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SHS 450×450×12 - Section Properties

The SHS 450×450×12 is a steel section with a mass of 162 kg/m, an overall depth of 450 mm and width of 450 mm and a wall thickness of 12 mm. It has a cross-sectional area of 209 cm², a second moment of area Iᵧ of 66460 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3419 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
162 kg/m
Depth
450 mm
Width
450 mm
Wall thickness
12 mm
Area
209 cm²
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SHS section profile showing the dimension symbols used for SHS 450×450×12

Dimension symbols for SHS sections. Not to scale.

SHS 450×450×12 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh450
Width of sectionb450
Wall thicknesst12

Mass and area

Mass per metremass162
Cross-sectional areaA209

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy66460
Elastic section modulus about y-axisWel,y2954
Plastic section modulus about y-axisWpl,y3419
Radius of gyration about y-axisiy17.8

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz66460
Elastic section modulus about z-axisWel,z2954
Plastic section modulus about z-axisWpl,z3419
Radius of gyration about z-axisiz17.8

Torsion and warping

Torsion constant (St Venant)It102200
Section modulus for torsionWt4368

Surface area

Surface area per metreSA/m1.77

Common questions about SHS 450×450×12

SHS 450×450×12 has a mass of 162 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 1944 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 450×450×12 has a depth of 450 mm, a width of 450 mm, a wall thickness of 12 mm, with a cross-sectional area of 209 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 3,419 cm³, and the elastic modulus Wel,y is 2,954 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 1214 kNm before any stability check.

The second moment of area about the major axis, Iy, is 66,460 cm⁴, and about the minor axis Iz is 66,460 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 17.8 cm about the major axis and iz is 17.8 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 17.8 cm a 1.8 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 102,200 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 400×400×16SHS 400×400×20SHS 400×400×22SHS 400×400×25SHS 450×450×16SHS 450×450×19SHS 450×450×22SHS 450×450×25

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