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SHS 175×175×4 - Section Properties

The SHS 175×175×4 is a steel section with a mass of 21.2 kg/m, an overall depth of 175 mm and width of 175 mm and a wall thickness of 4 mm. It has a cross-sectional area of 26.9 cm², a second moment of area Iᵧ of 1303 cm⁴, a plastic modulus Wₚₗ,ᵧ of 172 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
21.2 kg/m
Depth
175 mm
Width
175 mm
Wall thickness
4 mm
Area
26.9 cm²
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SHS Cold-formed section profile showing the dimension symbols used for SHS 175×175×4

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

SHS 175×175×4 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh175
Width of sectionb175
Wall thicknesst4

Mass and area

Mass per metremass21.2
Cross-sectional areaA26.9

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1303
Elastic section modulus about y-axisWel,y149
Plastic section modulus about y-axisWpl,y172
Radius of gyration about y-axisiy6.95

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1303
Elastic section modulus about z-axisWel,z149
Plastic section modulus about z-axisWpl,z172
Radius of gyration about z-axisiz6.95

Torsion and warping

Torsion constant (St Venant)It2028
Section modulus for torsionWt224

Surface area

Surface area per metreSA/m0.686

Common questions about SHS 175×175×4

SHS 175×175×4 has a mass of 21.2 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 254 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 175×175×4 has a depth of 175 mm, a width of 175 mm, a wall thickness of 4 mm, with a cross-sectional area of 26.9 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 172 cm³, and the elastic modulus Wel,y is 149 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 61 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,303 cm⁴, and about the minor axis Iz is 1,303 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 6.95 cm about the major axis and iz is 6.95 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 6.95 cm a 0.7 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 2,028 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 150×150×6.3SHS 150×150×6.4SHS 150×150×8SHS 150×150×9SHS 175×175×4.5SHS 175×175×5SHS 175×175×6SHS 175×175×6.4

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