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LC 100x50x20-6.71 - Section Properties

The LC 100x50x20-6.71 is a cold-formed lipped channel with a mass of 6.71 kg/m, a wall thickness of 4 mm. It has a cross-sectional area of 8.41 cm², a second moment of area Iᵧ of 123 cm⁴, a plastic modulus Wₚₗ,ᵧ of 29.8 cm³, tabulated by CivilAxis from Continental Steel.

Mass
6.71 kg/m
Wall thickness
4 mm
Area
8.41 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 100x50x20-6.71

Dimension symbols for Lipped Channel sections. Not to scale.

LC 100x50x20-6.71 section properties to Continental Steel.

Geometry

Wall thicknesst4
Root fillet radiusr10
Toe radiusr26

Mass and area

Mass per metremass6.71
Cross-sectional areaA8.41

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy123
Elastic section modulus about y-axisWel,y24.7
Plastic section modulus about y-axisWpl,y29.8
Radius of gyration about y-axisiy3.83

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz27.7
Elastic section modulus about z-axisWel,z8.79
Plastic section modulus about z-axisWpl,z14.5
Radius of gyration about z-axisiz1.82

Torsion and warping

Torsion constant (St Venant)It0.478
Warping constantIw0.747

Classification and stability

Buckling parameteru0.775
Torsional indexX24.7

Detailing dimensions

Centroid distance from back of leg (y)cy1.84

Common questions about LC 100x50x20-6.71

LC 100x50x20-6.71 has a mass of 6.71 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 81 kg, which is the figure to use for a steel take-off or when checking a lift.

The plastic section modulus about the major axis, Wpl,y, is 29.8 cm³, and the elastic modulus Wel,y is 24.7 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 11 kNm before any stability check.

The second moment of area about the major axis, Iy, is 123 cm⁴, and about the minor axis Iz is 27.7 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 3.83 cm about the major axis and iz is 1.82 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.82 cm a 0.2 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 0.478 cm⁴, and the warping constant Iw is 0.747 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 Lipped Channel sizes

LC 100x50x20-2.88LC 100x50x20-4.06LC 100x50x20-5.18LC 100x50x20-5.5LC 100x50x20-7.43LC 125x50x20-4.51LC 125x50x20-5.77LC 125x50x20-6.13

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