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CHS 177.8×10 - Section Properties

The CHS 177.8×10 is a steel section with a mass of 41.38 kg/m, an overall depth of 177.8 mm and width of 177.8 mm and a wall thickness of 10 mm. It has a cross-sectional area of 52.7 cm², a second moment of area Iᵧ of 1862 cm⁴, a plastic modulus Wₚₗ,ᵧ of 282 cm³, tabulated by CivilAxis from EN 10219 · Continental Steel.

Mass
41.38 kg/m
Depth
177.8 mm
Width
177.8 mm
Wall thickness
10 mm
Area
52.7 cm²
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CHS section profile showing the dimension symbols used for CHS 177.8×10

Dimension symbols for CHS sections. Not to scale.

CHS 177.8×10 section properties to EN 10219 · Continental Steel.

Geometry

Depth of sectionh177.8
Width of sectionb177.8
Wall thicknesst10

Mass and area

Mass per metremass41.38
Cross-sectional areaA52.7

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1862
Elastic section modulus about y-axisWel,y209
Plastic section modulus about y-axisWpl,y282
Radius of gyration about y-axisiy5.94

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1862
Elastic section modulus about z-axisWel,z209
Plastic section modulus about z-axisWpl,z282
Radius of gyration about z-axisiz5.94

Torsion and warping

Torsion constant (St Venant)It3724
Section modulus for torsionWt419

Surface area

Surface area per metreSA/m0.559

Is CHS 177.8×10 strong enough?

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

Passes - 62% utilised, deflection governs
Bending28%
27.6 / 100.1 kNm
Shear6%
31.5 / 540.1 kN
Deflection62%
6.0 / 9.7 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 CHS 177.8×10

CHS 177.8×10 has a mass of 41.38 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 497 kg, which is the figure to use for a steel take-off or when checking a lift.

CHS 177.8×10 has a depth of 177.8 mm, a width of 177.8 mm, a wall thickness of 10 mm, with a cross-sectional area of 52.7 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 282 cm³, and the elastic modulus Wel,y is 209 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 1,862 cm⁴, and about the minor axis Iz is 1,862 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 5.94 cm about the major axis and iz is 5.94 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 5.94 cm a 0.6 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 3,724 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 CHS sizes

CHS 177.8×4.5CHS 177.8×5CHS 177.8×6.3CHS 177.8×8CHS 177.8×12CHS 177.8×14CHS 193.7×3.6CHS 193.7×5

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