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SHS 200×200×7.1 - Section Properties

The SHS 200×200×7.1 is a square hollow section with a mass of 42.6 kg/m, an overall depth of 200 mm and width of 200 mm and a wall thickness of 7.1 mm. It has a cross-sectional area of 54.2 cm², a second moment of area Iᵧ of 3350 cm⁴, a plastic modulus Wₚₗ,ᵧ of 391 cm³, tabulated by CivilAxis from BS EN 10210-2:2006 (SCI P363 Blue Book).

Mass
42.6 kg/m
Depth
200 mm
Width
200 mm
Wall thickness
7.1 mm
Area
54.2 cm²
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SHS Hot-finished section profile showing the dimension symbols used for SHS 200×200×7.1

Dimension symbols for SHS Hot-finished sections. Not to scale.

SHS 200×200×7.1 section properties to BS EN 10210-2:2006.

Geometry

Depth of sectionh200
Width of sectionb200
Wall thicknesst7.1

Mass and area

Mass per metremass42.6
Cross-sectional areaA54.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy3350
Elastic section modulus about y-axisWel,y335
Plastic section modulus about y-axisWpl,y391
Radius of gyration about y-axisiy7.85

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz3350
Elastic section modulus about z-axisWel,z335
Plastic section modulus about z-axisWpl,z391
Radius of gyration about z-axisiz7.85

Torsion and warping

Torsion constant (St Venant)It5190
Section modulus for torsionWt493

Surface area

Surface area per metreSA/m0.782
Surface area per tonneSA/t18.4m²/t

Is SHS 200×200×7.1 strong enough?

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

Passes - 60% utilised, deflection governs
Bending30%
42.0 / 138.8 kNm
Shear8%
42.0 / 555.4 kN
Deflection60%
6.6 / 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 200×200×7.1

SHS 200×200×7.1 has a mass of 42.6 kg/m, tabulated to BS EN 10210-2:2006. A 12 m length therefore weighs about 511 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 200×200×7.1 has a depth of 200 mm, a width of 200 mm, a wall thickness of 7.1 mm, with a cross-sectional area of 54.2 cm². These are the nominal dimensions from BS EN 10210-2:2006; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 391 cm³, and the elastic modulus Wel,y is 335 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 139 kNm before any stability check.

The second moment of area about the major axis, Iy, is 3,350 cm⁴, and about the minor axis Iz is 3,350 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 7.85 cm about the major axis and iz is 7.85 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.85 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 5,190 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 Hot-finished sizes

SHS 180×180×14.2SHS 180×180×16SHS 200×200×5SHS 200×200×6.3SHS 200×200×8SHS 200×200×8.8SHS 200×200×10SHS 200×200×12.5

Learn more

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