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WT 13.5X269.5 - Section Properties

The WT 13.5X269.5 is a steel section with a mass of 401.1 kg/m, an overall depth of 414 mm and width of 388.6 mm. It has a cross-sectional area of 511.6 cm², a second moment of area Iᵧ of 63683 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3965.7 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
269.5 lb/ft (401.1 kg/m)
Depth
16.3 in (414 mm)
Width
15.3 in (388.6 mm)
Area
79.3 in² (511.6 cm²)
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WT section profile showing the dimension symbols used for WT 13.5X269.5

Dimension symbols for WT sections. Not to scale.

WT 13.5X269.5 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh16.3
414 mm
Width of sectionb15.3
388.6 mm
Web thicknesstw1.97
50 mm
Flange thicknesstf3.54
89.9 mm

Mass and area

Mass per metremass269.5
401.1 kg/m
Cross-sectional areaA79.3
511.6 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1530
63683 cm⁴
Elastic section modulus about y-axisWel,y128
2097.5 cm³
Plastic section modulus about y-axisWpl,y242
3965.7 cm³
Radius of gyration about y-axisiy4.39
11.15 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1060
44121 cm⁴
Elastic section modulus about z-axisWel,z138
2261.4 cm³
Plastic section modulus about z-axisWpl,z218
3572.4 cm³
Radius of gyration about z-axisiz3.65
9.27 cm

Torsion and warping

Torsion constant (St Venant)It247
10281 cm⁴
Warping constantIw1740
0.47 dm⁶

Common questions about WT 13.5X269.5

WT 13.5X269.5 has a mass of 269.5 lb/ft (401.1 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 4813 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 13.5X269.5 has a depth of 16.3 in (414 mm), a width of 15.3 in (388.6 mm), a web thickness of 1.97 in (50 mm), a flange thickness of 3.54 in (89.9 mm), with a cross-sectional area of 79.3 in² (511.6 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 3,965.7 cm³, and the elastic modulus Wel,y is 2,097.5 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 1408 kNm before any stability check.

The second moment of area about the major axis, Iy, is 63,683 cm⁴, and about the minor axis Iz is 44,121 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 11.15 cm about the major axis and iz is 9.27 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 9.27 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 10,281 cm⁴, and the warping constant Iw is 0.47 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 15X58WT 15X54WT 15X49.5WT 15X45WT 13.5X184WT 13.5X168WT 13.5X153.5WT 13.5X140.5

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