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WT 7X105.5 - Section Properties

The WT 7X105.5 is a steel section with a mass of 157 kg/m, an overall depth of 199.6 mm and width of 401.3 mm. It has a cross-sectional area of 200 cm², a second moment of area Iᵧ of 4246 cm⁴, a plastic modulus Wₚₗ,ᵧ of 547.33 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
105.5 lb/ft (157 kg/m)
Depth
7.86 in (199.6 mm)
Width
15.8 in (401.3 mm)
Area
31 in² (200 cm²)
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WT section profile showing the dimension symbols used for WT 7X105.5

Dimension symbols for WT sections. Not to scale.

WT 7X105.5 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh7.86
199.6 mm
Width of sectionb15.8
401.3 mm
Web thicknesstw0.98
24.9 mm
Flange thicknesstf1.56
39.6 mm

Mass and area

Mass per metremass105.5
157 kg/m
Cross-sectional areaA31
200 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy102
4246 cm⁴
Elastic section modulus about y-axisWel,y16.2
265.47 cm³
Plastic section modulus about y-axisWpl,y33.4
547.33 cm³
Radius of gyration about y-axisiy1.81
4.6 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz513
21353 cm⁴
Elastic section modulus about z-axisWel,z65
1065.2 cm³
Plastic section modulus about z-axisWpl,z98.9
1620.7 cm³
Radius of gyration about z-axisiz4.07
10.34 cm

Torsion and warping

Torsion constant (St Venant)It22.2
924 cm⁴
Warping constantIw113
0.03 dm⁶

Common questions about WT 7X105.5

WT 7X105.5 has a mass of 105.5 lb/ft (157 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 1884 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 7X105.5 has a depth of 7.86 in (199.6 mm), a width of 15.8 in (401.3 mm), a web thickness of 0.98 in (24.9 mm), a flange thickness of 1.56 in (39.6 mm), with a cross-sectional area of 31 in² (200 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 547.33 cm³, and the elastic modulus Wel,y is 265.47 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 194 kNm before any stability check.

The second moment of area about the major axis, Iy, is 4,246 cm⁴, and about the minor axis Iz is 21,353 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 4.6 cm about the major axis and iz is 10.34 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 10.34 cm a 1.0 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 924 cm⁴, and the warping constant Iw is 0.03 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 7X155.5WT 7X141.5WT 7X128.5WT 7X116.5WT 7X96.5WT 7X88WT 7X79.5WT 7X72.5

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