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WT 7X404 - Section Properties

The WT 7X404 is a steel section with a mass of 601.2 kg/m, an overall depth of 289.6 mm and width of 472.4 mm. It has a cross-sectional area of 767.7 cm², a second moment of area Iᵧ of 37378 cm⁴, a plastic modulus Wₚₗ,ᵧ of 4080.4 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
404 lb/ft (601.2 kg/m)
Depth
11.4 in (289.6 mm)
Width
18.6 in (472.4 mm)
Area
119 in² (767.7 cm²)
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WT section profile showing the dimension symbols used for WT 7X404

Dimension symbols for WT sections. Not to scale.

WT 7X404 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh11.4
289.6 mm
Width of sectionb18.6
472.4 mm
Web thicknesstw3.74
95 mm
Flange thicknesstf5.12
130 mm

Mass and area

Mass per metremass404
601.2 kg/m
Cross-sectional areaA119
767.7 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy898
37378 cm⁴
Elastic section modulus about y-axisWel,y116
1900.9 cm³
Plastic section modulus about y-axisWpl,y249
4080.4 cm³
Radius of gyration about y-axisiy2.75
6.99 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz2770
115296 cm⁴
Elastic section modulus about z-axisWel,z298
4883.3 cm³
Plastic section modulus about z-axisWpl,z465
7620 cm³
Radius of gyration about z-axisiz4.82
12.24 cm

Torsion and warping

Torsion constant (St Venant)It898
37378 cm⁴
Warping constantIw7000
1.88 dm⁶

Common questions about WT 7X404

WT 7X404 has a mass of 404 lb/ft (601.2 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 7214 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 7X404 has a depth of 11.4 in (289.6 mm), a width of 18.6 in (472.4 mm), a web thickness of 3.74 in (95 mm), a flange thickness of 5.12 in (130 mm), with a cross-sectional area of 119 in² (767.7 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 4,080.4 cm³, and the elastic modulus Wel,y is 1,900.9 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 1449 kNm before any stability check.

The second moment of area about the major axis, Iy, is 37,378 cm⁴, and about the minor axis Iz is 115,296 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 6.99 cm about the major axis and iz is 12.24 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 12.24 cm a 1.2 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 37,378 cm⁴, and the warping constant Iw is 1.88 dm⁶. Open sections carry torsion mainly by warping rather than uniform torsion, which is why Iw appears in the lateral-torsional buckling resistance - both values feed M_b,Rd.

Related WT sizes

WT 8X18WT 8X15.5WT 8X13WT 7X436.5WT 7X365WT 7X332.5WT 7X302.5WT 7X275

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