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HSS 12.750X0.188 - Section Properties

The HSS 12.750X0.188 is a steel section with a mass of 37.5 kg/m, an overall depth of 325.1 mm and width of 325.1 mm and a wall thickness of 4.4 mm. It has a cross-sectional area of 44.5 cm², a second moment of area Iᵧ of 5661 cm⁴, a plastic modulus Wₚₗ,ᵧ of 452.28 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
25.18 lb/ft (37.5 kg/m)
Depth
12.8 in (325.1 mm)
Width
12.8 in (325.1 mm)
Wall thickness
0.174 in (4.4 mm)
Area
6.89 in² (44.5 cm²)
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HSS section profile showing the dimension symbols used for HSS 12.750X0.188

Dimension symbols for HSS sections. Not to scale.

HSS 12.750X0.188 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh12.8
325.1 mm
Width of sectionb12.8
325.1 mm
Web thicknesstw0.174
4.4 mm
Wall thicknesst0.174
4.4 mm

Mass and area

Mass per metremass25.18
37.5 kg/m
Cross-sectional areaA6.89
44.5 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy136
5661 cm⁴
Elastic section modulus about y-axisWel,y21.4
350.68 cm³
Plastic section modulus about y-axisWpl,y27.6
452.28 cm³
Radius of gyration about y-axisiy4.45
11.3 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz136
5661 cm⁴
Elastic section modulus about z-axisWel,z21.4
350.68 cm³
Plastic section modulus about z-axisWpl,z27.6
452.28 cm³
Radius of gyration about z-axisiz4.45
11.3 cm

Torsion and warping

Torsion constant (St Venant)It272
11321 cm⁴

Common questions about HSS 12.750X0.188

HSS 12.750X0.188 has a mass of 25.18 lb/ft (37.5 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 450 kg, which is the figure to use for a steel take-off or when checking a lift.

HSS 12.750X0.188 has a depth of 12.8 in (325.1 mm), a width of 12.8 in (325.1 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 6.89 in² (44.5 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 452.28 cm³, and the elastic modulus Wel,y is 350.68 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 161 kNm before any stability check.

The second moment of area about the major axis, Iy, is 5,661 cm⁴, and about the minor axis Iz is 5,661 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 11.3 cm about the major axis and iz is 11.3 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 11.3 cm a 1.1 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 11,321 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 12.750X0.625HSS 12.750X0.500HSS 12.750X0.375HSS 12.750X0.250HSS 12.000X0.625HSS 12.000X0.500HSS 12.000X0.375HSS 12.000X0.250

Learn more

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