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LC 200x75x20-11.4 - Section Properties

The LC 200x75x20-11.4 is a cold-formed lipped channel with a mass of 11.4 kg/m, a wall thickness of 4 mm. It has a cross-sectional area of 14.4 cm², a second moment of area Iᵧ of 857 cm⁴, a plastic modulus Wₚₗ,ᵧ of 101 cm³, tabulated by CivilAxis from Continental Steel.

Mass
11.4 kg/m
Wall thickness
4 mm
Area
14.4 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 200x75x20-11.4

Dimension symbols for Lipped Channel sections. Not to scale.

LC 200x75x20-11.4 section properties to Continental Steel.

Geometry

Wall thicknesst4
Root fillet radiusr10
Toe radiusr26

Mass and area

Mass per metremass11.4
Cross-sectional areaA14.4

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy857
Elastic section modulus about y-axisWel,y85.7
Plastic section modulus about y-axisWpl,y101
Radius of gyration about y-axisiy7.71

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz98
Elastic section modulus about z-axisWel,z18.4
Plastic section modulus about z-axisWpl,z29.5
Radius of gyration about z-axisiz2.61

Torsion and warping

Torsion constant (St Venant)It0.798
Warping constantIw8.22

Classification and stability

Buckling parameteru0.85
Torsional indexX44.1

Detailing dimensions

Centroid distance from back of leg (y)cy2.17

Common questions about LC 200x75x20-11.4

LC 200x75x20-11.4 has a mass of 11.4 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 137 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 101 cm³, and the elastic modulus Wel,y is 85.7 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 36 kNm before any stability check.

The second moment of area about the major axis, Iy, is 857 cm⁴, and about the minor axis Iz is 98 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 7.71 cm about the major axis and iz is 2.61 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.61 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 0.798 cm⁴, and the warping constant Iw is 8.22 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 175x75x20-11.84LC 200x75x20-6.76LC 200x75x20-8.71LC 200x75x20-9.27LC 200x75x20-12.73LC 200x75x25-6.95LC 200x75x25-8.93LC 200x75x25-9.52

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