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SHS 400×400×14 - Section Properties

The SHS 400×400×14 is a steel section with a mass of 168 kg/m, an overall depth of 400 mm and width of 400 mm and a wall thickness of 14 mm. It has a cross-sectional area of 214 cm², a second moment of area Iᵧ of 52870 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3087 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
168 kg/m
Depth
400 mm
Width
400 mm
Wall thickness
14 mm
Area
214 cm²
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SHS section profile showing the dimension symbols used for SHS 400×400×14

Dimension symbols for SHS sections. Not to scale.

SHS 400×400×14 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh400
Width of sectionb400
Wall thicknesst14

Mass and area

Mass per metremass168
Cross-sectional areaA214

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy52870
Elastic section modulus about y-axisWel,y2643
Plastic section modulus about y-axisWpl,y3087
Radius of gyration about y-axisiy15.7

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz52870
Elastic section modulus about z-axisWel,z2643
Plastic section modulus about z-axisWpl,z3087
Radius of gyration about z-axisiz15.7

Torsion and warping

Torsion constant (St Venant)It81960
Section modulus for torsionWt3894

Surface area

Surface area per metreSA/m1.56

Is SHS 400×400×14 strong enough?

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

Passes - 61% utilised, deflection governs
Bending31%
336.0 / 1095.9 kNm
Shear8%
168.0 / 2193.1 kN
Deflection61%
13.5 / 22.2 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 400×400×14

SHS 400×400×14 has a mass of 168 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 2016 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 400×400×14 has a depth of 400 mm, a width of 400 mm, a wall thickness of 14 mm, with a cross-sectional area of 214 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 3,087 cm³, and the elastic modulus Wel,y is 2,643 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 1096 kNm before any stability check.

The second moment of area about the major axis, Iy, is 52,870 cm⁴, and about the minor axis Iz is 52,870 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 15.7 cm about the major axis and iz is 15.7 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 15.7 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 81,960 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 400×400×8SHS 400×400×10SHS 400×400×12SHS 400×400×12.5SHS 400×400×14.2SHS 400×400×16SHS 400×400×20SHS 400×400×22

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