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HSS 20X20X3-8 - Section Properties

The HSS 20X20X3-8 is a steel section with a mass of 147.2 kg/m, an overall depth of 508 mm and width of 508 mm and a wall thickness of 8.9 mm. It has a cross-sectional area of 174.8 cm², a second moment of area Iᵧ of 72424 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3261 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
98.94 lb/ft (147.2 kg/m)
Depth
20 in (508 mm)
Width
20 in (508 mm)
Wall thickness
0.349 in (8.9 mm)
Area
27.1 in² (174.8 cm²)
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HSS section profile showing the dimension symbols used for HSS 20X20X3-8

Dimension symbols for HSS sections. Not to scale.

HSS 20X20X3-8 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh20
508 mm
Width of sectionb20
508 mm
Web thicknesstw0.349
8.9 mm
Wall thicknesst0.349
8.9 mm

Mass and area

Mass per metremass98.94
147.2 kg/m
Cross-sectional areaA27.1
174.8 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1740
72424 cm⁴
Elastic section modulus about y-axisWel,y174
2851.3 cm³
Plastic section modulus about y-axisWpl,y199
3261 cm³
Radius of gyration about y-axisiy8
20.32 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1740
72424 cm⁴
Elastic section modulus about z-axisWel,z174
2851.3 cm³
Plastic section modulus about z-axisWpl,z199
3261 cm³
Radius of gyration about z-axisiz8
20.32 cm

Torsion and warping

Torsion constant (St Venant)It2680
111550 cm⁴

Common questions about HSS 20X20X3-8

HSS 20X20X3-8 has a mass of 98.94 lb/ft (147.2 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 1766 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 20X20X3-8 has a depth of 20 in (508 mm), a width of 20 in (508 mm), a web thickness of 0.349 in (8.9 mm), a wall thickness of 0.349 in (8.9 mm), with a cross-sectional area of 27.1 in² (174.8 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 3,261 cm³, and the elastic modulus Wel,y is 2,851.3 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 1158 kNm before any stability check.

The second moment of area about the major axis, Iy, is 72,424 cm⁴, and about the minor axis Iz is 72,424 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 20.32 cm about the major axis and iz is 20.32 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 20.32 cm a 2.0 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 111,550 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 20X20X7-8HSS 20X20X3-4HSS 20X20X5-8HSS 20X20X1-2HSS 20X20X5-16HSS 20X16X3-4HSS 20X16X5-8HSS 20X16X1-2

Learn more

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