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SHS 200×200×10 - Section Properties

The SHS 200×200×10 is a steel section with a mass of 57 kg/m, an overall depth of 200 mm and width of 200 mm and a wall thickness of 10 mm. It has a cross-sectional area of 72.6 cm², a second moment of area Iᵧ of 4251 cm⁴, a plastic modulus Wₚₗ,ᵧ of 508 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
57 kg/m
Depth
200 mm
Width
200 mm
Wall thickness
10 mm
Area
72.6 cm²
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SHS Cold-formed section profile showing the dimension symbols used for SHS 200×200×10

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

SHS 200×200×10 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh200
Width of sectionb200
Wall thicknesst10

Mass and area

Mass per metremass57
Cross-sectional areaA72.6

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy4251
Elastic section modulus about y-axisWel,y425
Plastic section modulus about y-axisWpl,y508
Radius of gyration about y-axisiy7.65

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz4251
Elastic section modulus about z-axisWel,z425
Plastic section modulus about z-axisWpl,z508
Radius of gyration about z-axisiz7.65

Torsion and warping

Torsion constant (St Venant)It7072
Section modulus for torsionWt651

Surface area

Surface area per metreSA/m0.757

Is SHS 200×200×10 strong enough?

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

Passes - 60% utilised, deflection governs
Bending30%
54.0 / 180.3 kNm
Shear7%
54.0 / 744.0 kN
Deflection60%
6.7 / 11.1 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 200×200×10

SHS 200×200×10 has a mass of 57 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 684 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 200×200×10 has a depth of 200 mm, a width of 200 mm, a wall thickness of 10 mm, with a cross-sectional area of 72.6 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 508 cm³, and the elastic modulus Wel,y is 425 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 180 kNm before any stability check.

The second moment of area about the major axis, Iy, is 4,251 cm⁴, and about the minor axis Iz is 4,251 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 7.65 cm about the major axis and iz is 7.65 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.65 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 7,072 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 200×200×6SHS 200×200×6.3SHS 200×200×8SHS 200×200×9SHS 200×200×12SHS 200×200×12.5SHS 203×203×4.5SHS 203×203×6.4

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