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HSS 9X7X3-16 - Section Properties

The HSS 9X7X3-16 is a steel section with a mass of 29.2 kg/m, an overall depth of 228.6 mm and width of 177.8 mm and a wall thickness of 4.4 mm. It has a cross-sectional area of 34.6 cm², a second moment of area Iᵧ of 2693 cm⁴, a plastic modulus Wₚₗ,ᵧ of 276.94 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
19.63 lb/ft (29.2 kg/m)
Depth
9 in (228.6 mm)
Width
7 in (177.8 mm)
Wall thickness
0.174 in (4.4 mm)
Area
5.37 in² (34.6 cm²)
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HSS section profile showing the dimension symbols used for HSS 9X7X3-16

Dimension symbols for HSS sections. Not to scale.

HSS 9X7X3-16 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh9
228.6 mm
Width of sectionb7
177.8 mm
Web thicknesstw0.174
4.4 mm
Wall thicknesst0.174
4.4 mm

Mass and area

Mass per metremass19.63
29.2 kg/m
Cross-sectional areaA5.37
34.6 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy64.7
2693 cm⁴
Elastic section modulus about y-axisWel,y14.4
235.97 cm³
Plastic section modulus about y-axisWpl,y16.9
276.94 cm³
Radius of gyration about y-axisiy3.47
8.81 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz44.1
1836 cm⁴
Elastic section modulus about z-axisWel,z12.6
206.48 cm³
Plastic section modulus about z-axisWpl,z14.3
234.34 cm³
Radius of gyration about z-axisiz2.87
7.29 cm

Torsion and warping

Torsion constant (St Venant)It81.7
3401 cm⁴

Common questions about HSS 9X7X3-16

HSS 9X7X3-16 has a mass of 19.63 lb/ft (29.2 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 350 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 9X7X3-16 has a depth of 9 in (228.6 mm), a width of 7 in (177.8 mm), a web thickness of 0.174 in (4.4 mm), a wall thickness of 0.174 in (4.4 mm), with a cross-sectional area of 5.37 in² (34.6 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 276.94 cm³, and the elastic modulus Wel,y is 235.97 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 98 kNm before any stability check.

The second moment of area about the major axis, Iy, is 2,693 cm⁴, and about the minor axis Iz is 1,836 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 8.81 cm about the major axis and iz is 7.29 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.29 cm a 0.7 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 3,401 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 9X7X1-2HSS 9X7X3-8HSS 9X7X5-16HSS 9X7X1-4HSS 9X5X5-8HSS 9X5X1-2HSS 9X5X3-8HSS 9X5X5-16

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