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HSS 20.000X0.875 - Section Properties

The HSS 20.000X0.875 is a steel section with a mass of 266.2 kg/m, an overall depth of 508 mm and width of 508 mm and a wall thickness of 20.7 mm. It has a cross-sectional area of 316.1 cm², a second moment of area Iᵧ of 94068 cm⁴, a plastic modulus Wₚₗ,ᵧ of 4916.1 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
178.89 lb/ft (266.2 kg/m)
Depth
20 in (508 mm)
Width
20 in (508 mm)
Wall thickness
0.814 in (20.7 mm)
Area
49 in² (316.1 cm²)
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HSS section profile showing the dimension symbols used for HSS 20.000X0.875

Dimension symbols for HSS sections. Not to scale.

HSS 20.000X0.875 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh20
508 mm
Width of sectionb20
508 mm
Web thicknesstw0.814
20.7 mm
Wall thicknesst0.814
20.7 mm

Mass and area

Mass per metremass178.89
266.2 kg/m
Cross-sectional areaA49
316.1 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy2260
94068 cm⁴
Elastic section modulus about y-axisWel,y226
3703.5 cm³
Plastic section modulus about y-axisWpl,y300
4916.1 cm³
Radius of gyration about y-axisiy6.79
17.25 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz2260
94068 cm⁴
Elastic section modulus about z-axisWel,z226
3703.5 cm³
Plastic section modulus about z-axisWpl,z300
4916.1 cm³
Radius of gyration about z-axisiz6.79
17.25 cm

Torsion and warping

Torsion constant (St Venant)It4520
188137 cm⁴

Is HSS 20.000X0.875 strong enough?

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

Passes - 59% utilised, deflection governs
Bending28%
468.8 / 1696.1 kNm
Shear6%
187.5 / 3148.1 kN
Deflection59%
16.5 / 27.8 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 HSS 20.000X0.875

HSS 20.000X0.875 has a mass of 178.89 lb/ft (266.2 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 3194 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 20.000X0.875 has a depth of 20 in (508 mm), a width of 20 in (508 mm), a web thickness of 0.814 in (20.7 mm), a wall thickness of 0.814 in (20.7 mm), with a cross-sectional area of 49 in² (316.1 cm²). These are the nominal dimensions from AISC Shapes Database v16.0; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 4,916.1 cm³, and the elastic modulus Wel,y is 3,703.5 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 1745 kNm before any stability check.

The second moment of area about the major axis, Iy, is 94,068 cm⁴, and about the minor axis Iz is 94,068 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 17.25 cm about the major axis and iz is 17.25 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 17.25 cm a 1.7 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 188,137 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 HSS sizes

HSS 22.000X0.500HSS 22.000X0.375HSS 22.000X0.313HSS 20.000X1.000HSS 20.000X0.750HSS 20.000X0.625HSS 20.000X0.500HSS 20.000X0.375

Learn more

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