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WT 5X50 - Section Properties

The WT 5X50 is a steel section with a mass of 74.4 kg/m, an overall depth of 141 mm and width of 261.6 mm. It has a cross-sectional area of 94.8 cm², a second moment of area Iᵧ of 1020 cm⁴, a plastic modulus Wₚₗ,ᵧ of 186.81 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
50 lb/ft (74.4 kg/m)
Depth
5.55 in (141 mm)
Width
10.3 in (261.6 mm)
Area
14.7 in² (94.8 cm²)
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WT section profile showing the dimension symbols used for WT 5X50

Dimension symbols for WT sections. Not to scale.

WT 5X50 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh5.55
141 mm
Width of sectionb10.3
261.6 mm
Web thicknesstw0.68
17.3 mm
Flange thicknesstf1.12
28.4 mm

Mass and area

Mass per metremass50
74.4 kg/m
Cross-sectional areaA14.7
94.8 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy24.5
1020 cm⁴
Elastic section modulus about y-axisWel,y5.56
91.112 cm³
Plastic section modulus about y-axisWpl,y11.4
186.81 cm³
Radius of gyration about y-axisiy1.29
3.28 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz103
4287 cm⁴
Elastic section modulus about z-axisWel,z20
327.74 cm³
Plastic section modulus about z-axisWpl,z30.5
499.81 cm³
Radius of gyration about z-axisiz2.65
6.73 cm

Torsion and warping

Torsion constant (St Venant)It5.41
225.2 cm⁴

Common questions about WT 5X50

WT 5X50 has a mass of 50 lb/ft (74.4 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 893 kg, which is the figure to use for a steel take-off or when checking a lift.

WT 5X50 has a depth of 5.55 in (141 mm), a width of 10.3 in (261.6 mm), a web thickness of 0.68 in (17.3 mm), a flange thickness of 1.12 in (28.4 mm), with a cross-sectional area of 14.7 in² (94.8 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 186.81 cm³, and the elastic modulus Wel,y is 91.112 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 66 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,020 cm⁴, and about the minor axis Iz is 4,287 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 3.28 cm about the major axis and iz is 6.73 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 6.73 cm a 0.7 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 225.2 cm⁴. Closed sections carry torsion in a shear flow around the perimeter, which makes them far stiffer in torsion than an open section of the same weight and is usually why one is specified.

Related WT sizes

WT 6X9.5WT 6X8WT 6X7WT 5X56WT 5X44WT 5X38.5WT 5X34WT 5X30

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