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LC 225x75x20-13.61 - Section Properties

The LC 225x75x20-13.61 is a cold-formed lipped channel with a mass of 13.61 kg/m, a wall thickness of 4.5 mm. It has a cross-sectional area of 17.2 cm², a second moment of area Iᵧ of 1252 cm⁴, a plastic modulus Wₚₗ,ᵧ of 133 cm³, tabulated by CivilAxis from Continental Steel.

Mass
13.61 kg/m
Wall thickness
4.5 mm
Area
17.2 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 225x75x20-13.61

Dimension symbols for Lipped Channel sections. Not to scale.

LC 225x75x20-13.61 section properties to Continental Steel.

Geometry

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

Mass and area

Mass per metremass13.61
Cross-sectional areaA17.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1252
Elastic section modulus about y-axisWel,y111
Plastic section modulus about y-axisWpl,y133
Radius of gyration about y-axisiy8.54

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz110
Elastic section modulus about z-axisWel,z20.2
Plastic section modulus about z-axisWpl,z33.6
Radius of gyration about z-axisiz2.53

Torsion and warping

Torsion constant (St Venant)It1.206
Warping constantIw11.6

Classification and stability

Buckling parameteru0.849
Torsional indexX43.9

Detailing dimensions

Centroid distance from back of leg (y)cy2.04

Common questions about LC 225x75x20-13.61

LC 225x75x20-13.61 has a mass of 13.61 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 163 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 133 cm³, and the elastic modulus Wel,y is 111 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 47 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,252 cm⁴, and about the minor axis Iz is 110 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 8.54 cm about the major axis and iz is 2.53 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.53 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 1.206 cm⁴, and the warping constant Iw is 11.6 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 225x75x20-7.21LC 225x75x20-9.3LC 225x75x20-9.89LC 225x75x20-12.2LC 225x75x25-7.4LC 225x75x25-9.54LC 225x75x25-10.1LC 225x75x25-12.5

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