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CF SHS 200×200×12.5 - Section Properties

The CF SHS 200×200×12.5 is a square hollow section with a mass of 68.3 kg/m, an overall depth of 200 mm and width of 200 mm and a wall thickness of 12.5 mm. It has a cross-sectional area of 87 cm², a second moment of area Iᵧ of 4860 cm⁴, a plastic modulus Wₚₗ,ᵧ of 594 cm³, tabulated by CivilAxis from BS EN 10219-2:2006 (SCI P363 Blue Book).

Mass
68.3 kg/m
Depth
200 mm
Width
200 mm
Wall thickness
12.5 mm
Area
87 cm²
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SHS Cold-formed section profile showing the dimension symbols used for CF SHS 200×200×12.5

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

CF SHS 200×200×12.5 section properties to BS EN 10219-2:2006.

Geometry

Depth of sectionh200
Width of sectionb200
Wall thicknesst12.5

Mass and area

Mass per metremass68.3
Cross-sectional areaA87

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy4860
Elastic section modulus about y-axisWel,y486
Plastic section modulus about y-axisWpl,y594
Radius of gyration about y-axisiy7.47

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz4860
Elastic section modulus about z-axisWel,z486
Plastic section modulus about z-axisWpl,z594
Radius of gyration about z-axisiz7.47

Torsion and warping

Torsion constant (St Venant)It8500
Section modulus for torsionWt765

Surface area

Surface area per metreSA/m0.736
Surface area per tonneSA/t10.7m²/t

Is CF SHS 200×200×12.5 strong enough?

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

Passes - 59% utilised, deflection governs
Bending28%
60.0 / 210.9 kNm
Shear7%
60.0 / 891.6 kN
Deflection59%
6.5 / 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 CF SHS 200×200×12.5

CF SHS 200×200×12.5 has a mass of 68.3 kg/m, tabulated to BS EN 10219-2:2006. A 12 m length therefore weighs about 820 kg, which is the figure to use for a steel take-off or when checking a lift.

CF SHS 200×200×12.5 has a depth of 200 mm, a width of 200 mm, a wall thickness of 12.5 mm, with a cross-sectional area of 87 cm². These are the nominal dimensions from BS EN 10219-2:2006; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 594 cm³, and the elastic modulus Wel,y is 486 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 211 kNm before any stability check.

The second moment of area about the major axis, Iy, is 4,860 cm⁴, and about the minor axis Iz is 4,860 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 7.47 cm about the major axis and iz is 7.47 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.47 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 8,500 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

CF SHS 200×200×6.3CF SHS 200×200×8CF SHS 200×200×10CF SHS 200×200×12CF SHS 250×250×6CF SHS 250×250×6.3CF SHS 250×250×8CF SHS 250×250×10

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