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SHS 75×75×5 - Section Properties

The SHS 75×75×5 is a steel section with a mass of 11 kg/m, an overall depth of 75 mm and width of 75 mm and a wall thickness of 5 mm. It has a cross-sectional area of 13.7 cm², a second moment of area Iᵧ of 111 cm⁴, a plastic modulus Wₚₗ,ᵧ of 35.8 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
11 kg/m
Depth
75 mm
Width
75 mm
Wall thickness
5 mm
Area
13.7 cm²
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SHS section profile showing the dimension symbols used for SHS 75×75×5

Dimension symbols for SHS sections. Not to scale.

SHS 75×75×5 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh75
Width of sectionb75
Wall thicknesst5

Mass and area

Mass per metremass11
Cross-sectional areaA13.7

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy111
Elastic section modulus about y-axisWel,y29.6
Plastic section modulus about y-axisWpl,y35.8
Radius of gyration about y-axisiy2.84

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz111
Elastic section modulus about z-axisWel,z29.6
Plastic section modulus about z-axisWpl,z35.8
Radius of gyration about z-axisiz2.84

Torsion and warping

Torsion constant (St Venant)It177
Section modulus for torsionWt43

Surface area

Surface area per metreSA/m0.287

Is SHS 75×75×5 strong enough?

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

Passes - 61% utilised, deflection governs
Bending30%
3.8 / 12.7 kNm
Shear7%
10.1 / 140.4 kN
Deflection61%
2.5 / 4.2 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 75×75×5

SHS 75×75×5 has a mass of 11 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 132 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 75×75×5 has a depth of 75 mm, a width of 75 mm, a wall thickness of 5 mm, with a cross-sectional area of 13.7 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 35.8 cm³, and the elastic modulus Wel,y is 29.6 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 13 kNm before any stability check.

The second moment of area about the major axis, Iy, is 111 cm⁴, and about the minor axis Iz is 111 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 2.84 cm about the major axis and iz is 2.84 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.84 cm a 0.3 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 177 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 70×70×6.3SHS 70×70×8SHS 75×75×3.2SHS 75×75×4SHS 75×75×6SHS 75×75×6.3SHS 75×75×8SHS 80×80×3

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