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SHS 45×45×4 - Section Properties

The SHS 45×45×4 is a steel section with a mass of 5.01 kg/m, an overall depth of 45 mm and width of 45 mm and a wall thickness of 4 mm. It has a cross-sectional area of 6.39 cm², a second moment of area Iᵧ of 17.6 cm⁴, a plastic modulus Wₚₗ,ᵧ of 9.71 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
5.01 kg/m
Depth
45 mm
Width
45 mm
Wall thickness
4 mm
Area
6.39 cm²
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SHS section profile showing the dimension symbols used for SHS 45×45×4

Dimension symbols for SHS sections. Not to scale.

SHS 45×45×4 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh45
Width of sectionb45
Wall thicknesst4

Mass and area

Mass per metremass5.01
Cross-sectional areaA6.39

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy17.6
Elastic section modulus about y-axisWel,y7.82
Plastic section modulus about y-axisWpl,y9.71
Radius of gyration about y-axisiy1.66

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz17.6
Elastic section modulus about z-axisWel,z7.82
Plastic section modulus about z-axisWpl,z9.71
Radius of gyration about z-axisiz1.66

Torsion and warping

Torsion constant (St Venant)It28.7
Section modulus for torsionWt11.3

Surface area

Surface area per metreSA/m0.17

Is SHS 45×45×4 strong enough?

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

Passes - 57% utilised, deflection governs
Bending24%
0.8 / 3.4 kNm
Shear5%
3.4 / 65.5 kN
Deflection57%
1.6 / 2.8 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 45×45×4

SHS 45×45×4 has a mass of 5.01 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 60 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 45×45×4 has a depth of 45 mm, a width of 45 mm, a wall thickness of 4 mm, with a cross-sectional area of 6.39 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 9.71 cm³, and the elastic modulus Wel,y is 7.82 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 3 kNm before any stability check.

The second moment of area about the major axis, Iy, is 17.6 cm⁴, and about the minor axis Iz is 17.6 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 1.66 cm about the major axis and iz is 1.66 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.66 cm a 0.2 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 28.7 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 40×40×3SHS 40×40×3.2SHS 40×40×4SHS 40×40×5SHS 45×45×5SHS 50×50×2.5SHS 50×50×3SHS 50×50×3.2

Learn more

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