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WT 20X251.5 - Section Properties

The WT 20X251.5 is a steel section with a mass of 374.3 kg/m, an overall depth of 533.4 mm and width of 416.6 mm. It has a cross-sectional area of 477.4 cm², a second moment of area Iᵧ of 113631 cm⁴, a plastic modulus Wₚₗ,ᵧ of 5145.5 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
251.5 lb/ft (374.3 kg/m)
Depth
21 in (533.4 mm)
Width
16.4 in (416.6 mm)
Area
74 in² (477.4 cm²)
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WT section profile showing the dimension symbols used for WT 20X251.5

Dimension symbols for WT sections. Not to scale.

WT 20X251.5 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh21
533.4 mm
Width of sectionb16.4
416.6 mm
Web thicknesstw1.54
39.1 mm
Flange thicknesstf2.76
70.1 mm

Mass and area

Mass per metremass251.5
374.3 kg/m
Cross-sectional areaA74
477.4 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy2730
113631 cm⁴
Elastic section modulus about y-axisWel,y174
2851.3 cm³
Plastic section modulus about y-axisWpl,y314
5145.5 cm³
Radius of gyration about y-axisiy6.07
15.42 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1020
42456 cm⁴
Elastic section modulus about z-axisWel,z124
2032 cm³
Plastic section modulus about z-axisWpl,z197
3228.3 cm³
Radius of gyration about z-axisiz3.72
9.45 cm

Torsion and warping

Torsion constant (St Venant)It138
5744 cm⁴
Warping constantIw1400
0.38 dm⁶

Common questions about WT 20X251.5

WT 20X251.5 has a mass of 251.5 lb/ft (374.3 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 4492 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 20X251.5 has a depth of 21 in (533.4 mm), a width of 16.4 in (416.6 mm), a web thickness of 1.54 in (39.1 mm), a flange thickness of 2.76 in (70.1 mm), with a cross-sectional area of 74 in² (477.4 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 5,145.5 cm³, and the elastic modulus Wel,y is 2,851.3 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 1827 kNm before any stability check.

The second moment of area about the major axis, Iy, is 113,631 cm⁴, and about the minor axis Iz is 42,456 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 15.42 cm about the major axis and iz is 9.45 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 9.45 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 5,744 cm⁴, and the warping constant Iw is 0.38 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 22X131WT 22X115WT 20X327.5WT 20X296.5WT 20X215.5WT 20X198.5WT 20X186WT 20X181

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