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HSS 7X4X3-8 - Section Properties

The HSS 7X4X3-8 is a steel section with a mass of 37.1 kg/m, an overall depth of 177.8 mm and width of 101.6 mm and a wall thickness of 8.9 mm. It has a cross-sectional area of 44.4 cm², a second moment of area Iᵧ of 1740 cm⁴, a plastic modulus Wₚₗ,ᵧ of 247.44 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
24.93 lb/ft (37.1 kg/m)
Depth
7 in (177.8 mm)
Width
4 in (101.6 mm)
Wall thickness
0.349 in (8.9 mm)
Area
6.88 in² (44.4 cm²)
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HSS section profile showing the dimension symbols used for HSS 7X4X3-8

Dimension symbols for HSS sections. Not to scale.

HSS 7X4X3-8 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh7
177.8 mm
Width of sectionb4
101.6 mm
Web thicknesstw0.349
8.9 mm
Wall thicknesst0.349
8.9 mm

Mass and area

Mass per metremass24.93
37.1 kg/m
Cross-sectional areaA6.88
44.4 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy41.8
1740 cm⁴
Elastic section modulus about y-axisWel,y11.9
195.01 cm³
Plastic section modulus about y-axisWpl,y15.1
247.44 cm³
Radius of gyration about y-axisiy2.46
6.25 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz17.3
720.1 cm⁴
Elastic section modulus about z-axisWel,z8.63
141.42 cm³
Plastic section modulus about z-axisWpl,z10.2
167.15 cm³
Radius of gyration about z-axisiz1.58
4.01 cm

Torsion and warping

Torsion constant (St Venant)It41
1707 cm⁴

Is HSS 7X4X3-8 strong enough?

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

Passes - 61% utilised, deflection governs
Bending29%
25.3 / 87.8 kNm
Shear5%
28.9 / 579.1 kN
Deflection61%
5.9 / 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 HSS 7X4X3-8

HSS 7X4X3-8 has a mass of 24.93 lb/ft (37.1 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 445 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 7X4X3-8 has a depth of 7 in (177.8 mm), a width of 4 in (101.6 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 6.88 in² (44.4 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 247.44 cm³, and the elastic modulus Wel,y is 195.01 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 88 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,740 cm⁴, and about the minor axis Iz is 720.1 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 6.25 cm about the major axis and iz is 4.01 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 4.01 cm a 0.4 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 1,707 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 7X5X1-4HSS 7X5X3-16HSS 7X5X1-8HSS 7X4X1-2HSS 7X4X5-16HSS 7X4X1-4HSS 7X4X3-16HSS 7X4X1-8

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