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L 8X4X7-16 - Section Properties

The L 8X4X7-16 is a steel section with a mass of 25.6 kg/m, an overall depth of 101.6 mm. It has a cross-sectional area of 33 cm², a second moment of area Iᵧ of 1424 cm⁴, a plastic modulus Wₚₗ,ᵧ of 190.09 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
17.2 lb/ft (25.6 kg/m)
Depth
4 in (101.6 mm)
Area
5.11 in² (33 cm²)
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L section profile showing the dimension symbols used for L 8X4X7-16

Dimension symbols for L sections. Not to scale.

L 8X4X7-16 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh4
101.6 mm

Mass and area

Mass per metremass17.2
25.6 kg/m
Cross-sectional areaA5.11
33 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy34.2
1424 cm⁴
Elastic section modulus about y-axisWel,y6.59
107.99 cm³
Plastic section modulus about y-axisWpl,y11.6
190.09 cm³
Radius of gyration about y-axisiy2.59
6.58 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz6.03
251 cm⁴
Elastic section modulus about z-axisWel,z1.9
31.135 cm³
Plastic section modulus about z-axisWpl,z3.42
56.044 cm³
Radius of gyration about z-axisiz1.09
2.77 cm

Torsion and warping

Torsion constant (St Venant)It0.34
14.15 cm⁴

Common questions about L 8X4X7-16

L 8X4X7-16 has a mass of 17.2 lb/ft (25.6 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 307 kg, which is the figure to use for a steel take-off or when checking a lift.

L 8X4X7-16 has a depth of 4 in (101.6 mm), with a cross-sectional area of 5.11 in² (33 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 190.09 cm³, and the elastic modulus Wel,y is 107.99 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 67 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,424 cm⁴, and about the minor axis Iz is 251 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 6.58 cm about the major axis and iz is 2.77 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.77 cm a 0.3 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 14.15 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 L sizes

L 8X4X3-4L 8X4X5-8L 8X4X9-16L 8X4X1-2L 7X4X3-4L 7X4X5-8L 7X4X1-2L 7X4X7-16

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