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WT 13.5X97 - Section Properties

The WT 13.5X97 is a steel section with a mass of 144.4 kg/m, an overall depth of 358.1 mm and width of 355.6 mm. It has a cross-sectional area of 184.5 cm², a second moment of area Iᵧ of 18481 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1176.6 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
97 lb/ft (144.4 kg/m)
Depth
14.1 in (358.1 mm)
Width
14 in (355.6 mm)
Area
28.6 in² (184.5 cm²)
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WT section profile showing the dimension symbols used for WT 13.5X97

Dimension symbols for WT sections. Not to scale.

WT 13.5X97 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh14.1
358.1 mm
Width of sectionb14
355.6 mm
Web thicknesstw0.75
19 mm
Flange thicknesstf1.34
34 mm

Mass and area

Mass per metremass97
144.4 kg/m
Cross-sectional areaA28.6
184.5 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy444
18481 cm⁴
Elastic section modulus about y-axisWel,y40.3
660.4 cm³
Plastic section modulus about y-axisWpl,y71.8
1176.6 cm³
Radius of gyration about y-axisiy3.94
10.01 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz309
12862 cm⁴
Elastic section modulus about z-axisWel,z44.1
722.67 cm³
Plastic section modulus about z-axisWpl,z67.8
1111 cm³
Radius of gyration about z-axisiz3.29
8.36 cm

Torsion and warping

Torsion constant (St Venant)It13.5
561.9 cm⁴
Warping constantIw74.3
0.02 dm⁶

Common questions about WT 13.5X97

WT 13.5X97 has a mass of 97 lb/ft (144.4 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 1733 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 13.5X97 has a depth of 14.1 in (358.1 mm), a width of 14 in (355.6 mm), a web thickness of 0.75 in (19 mm), a flange thickness of 1.34 in (34 mm), with a cross-sectional area of 28.6 in² (184.5 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 1,176.6 cm³, and the elastic modulus Wel,y is 660.4 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 418 kNm before any stability check.

The second moment of area about the major axis, Iy, is 18,481 cm⁴, and about the minor axis Iz is 12,862 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 10.01 cm about the major axis and iz is 8.36 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 8.36 cm a 0.8 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 561.9 cm⁴, and the warping constant Iw is 0.02 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 13.5X140.5WT 13.5X129WT 13.5X117.5WT 13.5X108.5WT 13.5X89WT 13.5X80.5WT 13.5X73WT 13.5X64.5

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