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SHS 100×100×12.5 - Section Properties

The SHS 100×100×12.5 is a square hollow section with a mass of 33 kg/m, an overall depth of 100 mm and width of 100 mm and a wall thickness of 12.5 mm. It has a cross-sectional area of 42.1 cm², a second moment of area Iᵧ of 522 cm⁴, a plastic modulus Wₚₗ,ᵧ of 135 cm³, tabulated by CivilAxis from BS EN 10210-2:2006 (SCI P363 Blue Book).

Mass
33 kg/m
Depth
100 mm
Width
100 mm
Wall thickness
12.5 mm
Area
42.1 cm²
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SHS Hot-finished section profile showing the dimension symbols used for SHS 100×100×12.5

Dimension symbols for SHS Hot-finished sections. Not to scale.

SHS 100×100×12.5 section properties to BS EN 10210-2:2006.

Geometry

Depth of sectionh100
Width of sectionb100
Wall thicknesst12.5

Mass and area

Mass per metremass33
Cross-sectional areaA42.1

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy522
Elastic section modulus about y-axisWel,y104
Plastic section modulus about y-axisWpl,y135
Radius of gyration about y-axisiy3.52

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz522
Elastic section modulus about z-axisWel,z104
Plastic section modulus about z-axisWpl,z135
Radius of gyration about z-axisiz3.52

Torsion and warping

Torsion constant (St Venant)It879
Section modulus for torsionWt150

Surface area

Surface area per metreSA/m0.368
Surface area per tonneSA/t11.2m²/t

Is SHS 100×100×12.5 strong enough?

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

Passes - 62% utilised, deflection governs
Bending28%
13.5 / 47.9 kNm
Shear6%
27.0 / 431.4 kN
Deflection62%
3.4 / 5.6 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 100×100×12.5

SHS 100×100×12.5 has a mass of 33 kg/m, tabulated to BS EN 10210-2:2006. A 12 m length therefore weighs about 396 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 100×100×12.5 has a depth of 100 mm, a width of 100 mm, a wall thickness of 12.5 mm, with a cross-sectional area of 42.1 cm². These are the nominal dimensions from BS EN 10210-2:2006; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 135 cm³, and the elastic modulus Wel,y is 104 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 48 kNm before any stability check.

The second moment of area about the major axis, Iy, is 522 cm⁴, and about the minor axis Iz is 522 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 3.52 cm about the major axis and iz is 3.52 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 3.52 cm a 0.4 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 879 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 Hot-finished sizes

SHS 100×100×7.1SHS 100×100×8SHS 100×100×8.8SHS 100×100×10SHS 120×120×4SHS 120×120×5SHS 120×120×6.3SHS 120×120×7.1

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