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SHS 13×13×1.6 - Section Properties

The SHS 13×13×1.6 is a steel section with a mass of 0.5 kg/m, an overall depth of 13 mm and width of 13 mm and a wall thickness of 1.6 mm. It has a cross-sectional area of 0.664 cm², a second moment of area Iᵧ of 0.136 cm⁴, a plastic modulus Wₚₗ,ᵧ of 0.273 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
0.5 kg/m
Depth
13 mm
Width
13 mm
Wall thickness
1.6 mm
Area
0.664 cm²
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SHS Cold-formed section profile showing the dimension symbols used for SHS 13×13×1.6

Dimension symbols for SHS Cold-formed sections. Not to scale.

SHS 13×13×1.6 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh13
Width of sectionb13
Wall thicknesst1.6

Mass and area

Mass per metremass0.5
Cross-sectional areaA0.664

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy0.136
Elastic section modulus about y-axisWel,y0.209
Plastic section modulus about y-axisWpl,y0.273
Radius of gyration about y-axisiy0.453

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz0.136
Elastic section modulus about z-axisWel,z0.209
Plastic section modulus about z-axisWpl,z0.273
Radius of gyration about z-axisiz0.453

Torsion and warping

Torsion constant (St Venant)It0.247
Section modulus for torsionWt0.324

Surface area

Surface area per metreSA/m0.0465

Is SHS 13×13×1.6 strong enough?

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

Passes - 62% utilised, deflection governs
Bending15%
0.0 / 0.1 kNm
Shear2%
0.1 / 6.8 kN
Deflection62%
0.9 / 1.4 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 13×13×1.6

SHS 13×13×1.6 has a mass of 0.5 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 6 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 13×13×1.6 has a depth of 13 mm, a width of 13 mm, a wall thickness of 1.6 mm, with a cross-sectional area of 0.664 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 0.273 cm³, and the elastic modulus Wel,y is 0.209 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 0 kNm before any stability check.

The second moment of area about the major axis, Iy, is 0.136 cm⁴, and about the minor axis Iz is 0.136 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 0.453 cm about the major axis and iz is 0.453 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 0.453 cm a 0.0 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 0.247 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 Cold-formed sizes

SHS 12×12×1SHS 12×12×1.2SHS 12×12×1.6SHS 13×13×1.2SHS 16×16×1SHS 16×16×1.2SHS 16×16×1.6SHS 19×19×1

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