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SHS 400×400×10 - Section Properties

The SHS 400×400×10 is a steel section with a mass of 122 kg/m, an overall depth of 400 mm and width of 400 mm and a wall thickness of 10 mm. It has a cross-sectional area of 155 cm², a second moment of area Iᵧ of 39130 cm⁴, a plastic modulus Wₚₗ,ᵧ of 2260 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
122 kg/m
Depth
400 mm
Width
400 mm
Wall thickness
10 mm
Area
155 cm²
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SHS section profile showing the dimension symbols used for SHS 400×400×10

Dimension symbols for SHS sections. Not to scale.

SHS 400×400×10 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh400
Width of sectionb400
Wall thicknesst10

Mass and area

Mass per metremass122
Cross-sectional areaA155

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy39130
Elastic section modulus about y-axisWel,y1956
Plastic section modulus about y-axisWpl,y2260
Radius of gyration about y-axisiy15.9

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz39130
Elastic section modulus about z-axisWel,z1956
Plastic section modulus about z-axisWpl,z2260
Radius of gyration about z-axisiz15.9

Torsion and warping

Torsion constant (St Venant)It60090
Section modulus for torsionWt2895

Surface area

Surface area per metreSA/m1.57

Common questions about SHS 400×400×10

SHS 400×400×10 has a mass of 122 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 1464 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 400×400×10 has a depth of 400 mm, a width of 400 mm, a wall thickness of 10 mm, with a cross-sectional area of 155 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 2,260 cm³, and the elastic modulus Wel,y is 1,956 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 802 kNm before any stability check.

The second moment of area about the major axis, Iy, is 39,130 cm⁴, and about the minor axis Iz is 39,130 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 15.9 cm about the major axis and iz is 15.9 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 15.9 cm a 1.6 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 60,090 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 350×350×19SHS 350×350×22SHS 350×350×25SHS 400×400×8SHS 400×400×12SHS 400×400×12.5SHS 400×400×14SHS 400×400×14.2

Learn more

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