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SHS 200×200×5 - Section Properties

The SHS 200×200×5 is a steel section with a mass of 30.5 kg/m, an overall depth of 200 mm and width of 200 mm and a wall thickness of 5 mm. It has a cross-sectional area of 38.7 cm², a second moment of area Iᵧ of 2445 cm⁴, a plastic modulus Wₚₗ,ᵧ of 283 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
30.5 kg/m
Depth
200 mm
Width
200 mm
Wall thickness
5 mm
Area
38.7 cm²
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SHS section profile showing the dimension symbols used for SHS 200×200×5

Dimension symbols for SHS sections. Not to scale.

SHS 200×200×5 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh200
Width of sectionb200
Wall thicknesst5

Mass and area

Mass per metremass30.5
Cross-sectional areaA38.7

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy2445
Elastic section modulus about y-axisWel,y245
Plastic section modulus about y-axisWpl,y283
Radius of gyration about y-axisiy7.95

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz2445
Elastic section modulus about z-axisWel,z245
Plastic section modulus about z-axisWpl,z283
Radius of gyration about z-axisiz7.95

Torsion and warping

Torsion constant (St Venant)It3756
Section modulus for torsionWt362

Surface area

Surface area per metreSA/m0.787

Common questions about SHS 200×200×5

SHS 200×200×5 has a mass of 30.5 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 366 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 200×200×5 has a depth of 200 mm, a width of 200 mm, a wall thickness of 5 mm, with a cross-sectional area of 38.7 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 283 cm³, and the elastic modulus Wel,y is 245 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 100 kNm before any stability check.

The second moment of area about the major axis, Iy, is 2,445 cm⁴, and about the minor axis Iz is 2,445 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 7.95 cm about the major axis and iz is 7.95 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.95 cm a 0.8 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 3,756 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 180×180×8SHS 180×180×10SHS 180×180×12.5SHS 180×180×16SHS 200×200×6SHS 200×200×6.3SHS 200×200×8SHS 200×200×10

Learn more

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