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LC 200x75x25-13.1 - Section Properties

The LC 200x75x25-13.1 is a cold-formed lipped channel with a mass of 13.1 kg/m, a wall thickness of 4.5 mm. It has a cross-sectional area of 16.5 cm², a second moment of area Iᵧ of 972 cm⁴, a plastic modulus Wₚₗ,ᵧ of 116 cm³, tabulated by CivilAxis from Continental Steel.

Mass
13.1 kg/m
Wall thickness
4.5 mm
Area
16.5 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 200x75x25-13.1

Dimension symbols for Lipped Channel sections. Not to scale.

LC 200x75x25-13.1 section properties to Continental Steel.

Geometry

Wall thicknesst4.5
Root fillet radiusr11.3
Toe radiusr26.8

Mass and area

Mass per metremass13.1
Cross-sectional areaA16.5

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy972
Elastic section modulus about y-axisWel,y97.2
Plastic section modulus about y-axisWpl,y116
Radius of gyration about y-axisiy7.68

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz118
Elastic section modulus about z-axisWel,z22.7
Plastic section modulus about z-axisWpl,z35.4
Radius of gyration about z-axisiz2.67

Torsion and warping

Torsion constant (St Venant)It1.16
Warping constantIw10.5

Classification and stability

Buckling parameteru0.835
Torsional indexX40.3

Detailing dimensions

Centroid distance from back of leg (y)cy2.31

Common questions about LC 200x75x25-13.1

LC 200x75x25-13.1 has a mass of 13.1 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 157 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 116 cm³, and the elastic modulus Wel,y is 97.2 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 41 kNm before any stability check.

The second moment of area about the major axis, Iy, is 972 cm⁴, and about the minor axis Iz is 118 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 7.68 cm about the major axis and iz is 2.67 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.67 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 1.16 cm⁴, and the warping constant Iw is 10.5 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 200x75x25-6.95LC 200x75x25-8.93LC 200x75x25-9.52LC 200x75x25-11.7LC 225x75x20-7.21LC 225x75x20-9.3LC 225x75x20-9.89LC 225x75x20-12.2

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