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HSS 20X20X7-8 - Section Properties

The HSS 20X20X7-8 is a steel section with a mass of 329 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 392.3 cm², a second moment of area Iᵧ of 152757 cm⁴, a plastic modulus Wₚₗ,ᵧ of 7095.6 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
221.06 lb/ft (329 kg/m)
Depth
20 in (508 mm)
Width
20 in (508 mm)
Wall thickness
0.814 in (20.7 mm)
Area
60.8 in² (392.3 cm²)
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HSS section profile showing the dimension symbols used for HSS 20X20X7-8

Dimension symbols for HSS sections. Not to scale.

HSS 20X20X7-8 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 metremass221.06
329 kg/m
Cross-sectional areaA60.8
392.3 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy3670
152757 cm⁴
Elastic section modulus about y-axisWel,y367
6014.1 cm³
Plastic section modulus about y-axisWpl,y433
7095.6 cm³
Radius of gyration about y-axisiy7.77
19.74 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz3670
152757 cm⁴
Elastic section modulus about z-axisWel,z367
6014.1 cm³
Plastic section modulus about z-axisWpl,z433
7095.6 cm³
Radius of gyration about z-axisiz7.77
19.74 cm

Torsion and warping

Torsion constant (St Venant)It5870
244328 cm⁴

Is HSS 20X20X7-8 strong enough?

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

Passes - 60% utilised, deflection governs
Bending31%
768.8 / 2448.0 kNm
Shear8%
307.5 / 3907.0 kN
Deflection60%
16.6 / 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 20X20X7-8

HSS 20X20X7-8 has a mass of 221.06 lb/ft (329 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 3948 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 20X20X7-8 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 60.8 in² (392.3 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 7,095.6 cm³, and the elastic modulus Wel,y is 6,014.1 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 2519 kNm before any stability check.

The second moment of area about the major axis, Iy, is 152,757 cm⁴, and about the minor axis Iz is 152,757 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 19.74 cm about the major axis and iz is 19.74 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 19.74 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 244,328 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 22X10X3-8HSS 22X10X5-16HSS 22X10X1-4HSS 20X20X1HSS 20X20X3-4HSS 20X20X5-8HSS 20X20X1-2HSS 20X20X3-8

Learn more

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