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WT 20X186 - Section Properties

The WT 20X186 is a steel section with a mass of 276.8 kg/m, an overall depth of 515.6 mm and width of 408.9 mm. It has a cross-sectional area of 352.9 cm², a second moment of area Iᵧ of 80333 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3687.1 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
186 lb/ft (276.8 kg/m)
Depth
20.3 in (515.6 mm)
Width
16.1 in (408.9 mm)
Area
54.7 in² (352.9 cm²)
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WT section profile showing the dimension symbols used for WT 20X186

Dimension symbols for WT sections. Not to scale.

WT 20X186 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh20.3
515.6 mm
Width of sectionb16.1
408.9 mm
Web thicknesstw1.16
29.5 mm
Flange thicknesstf2.05
52.1 mm

Mass and area

Mass per metremass186
276.8 kg/m
Cross-sectional areaA54.7
352.9 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1930
80333 cm⁴
Elastic section modulus about y-axisWel,y126
2064.8 cm³
Plastic section modulus about y-axisWpl,y225
3687.1 cm³
Radius of gyration about y-axisiy5.95
15.11 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz709
29511 cm⁴
Elastic section modulus about z-axisWel,z88.3
1447 cm³
Plastic section modulus about z-axisWpl,z138
2261.4 cm³
Radius of gyration about z-axisiz3.6
9.14 cm

Torsion and warping

Torsion constant (St Venant)It57.7
2402 cm⁴
Warping constantIw558
0.15 dm⁶

Common questions about WT 20X186

WT 20X186 has a mass of 186 lb/ft (276.8 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 3322 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 20X186 has a depth of 20.3 in (515.6 mm), a width of 16.1 in (408.9 mm), a web thickness of 1.16 in (29.5 mm), a flange thickness of 2.05 in (52.1 mm), with a cross-sectional area of 54.7 in² (352.9 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 3,687.1 cm³, and the elastic modulus Wel,y is 2,064.8 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 1309 kNm before any stability check.

The second moment of area about the major axis, Iy, is 80,333 cm⁴, and about the minor axis Iz is 29,511 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 15.11 cm about the major axis and iz is 9.14 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 9.14 cm a 0.9 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 2,402 cm⁴, and the warping constant Iw is 0.15 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 20X296.5WT 20X251.5WT 20X215.5WT 20X198.5WT 20X181WT 20X162WT 20X148.5WT 20X138.5

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