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LC 75x45x15-3.24 - Section Properties

The LC 75x45x15-3.24 is a cold-formed lipped channel with a mass of 3.24 kg/m, a wall thickness of 2.3 mm. It has a cross-sectional area of 4.09 cm², a second moment of area Iᵧ of 36.5 cm⁴, a plastic modulus Wₚₗ,ᵧ of 11.4 cm³, tabulated by CivilAxis from Continental Steel.

Mass
3.24 kg/m
Wall thickness
2.3 mm
Area
4.09 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 75x45x15-3.24

Dimension symbols for Lipped Channel sections. Not to scale.

LC 75x45x15-3.24 section properties to Continental Steel.

Geometry

Wall thicknesst2.3
Root fillet radiusr5.8
Toe radiusr23.5

Mass and area

Mass per metremass3.24
Cross-sectional areaA4.09

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy36.5
Elastic section modulus about y-axisWel,y9.73
Plastic section modulus about y-axisWpl,y11.4
Radius of gyration about y-axisiy2.99

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz11.5
Elastic section modulus about z-axisWel,z4.11
Plastic section modulus about z-axisWpl,z6.31
Radius of gyration about z-axisiz1.67

Torsion and warping

Torsion constant (St Venant)It0.0754
Warping constantIw0.171

Classification and stability

Buckling parameteru0.772
Torsional indexX32.2

Detailing dimensions

Centroid distance from back of leg (y)cy1.71

Common questions about LC 75x45x15-3.24

LC 75x45x15-3.24 has a mass of 3.24 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 39 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 11.4 cm³, and the elastic modulus Wel,y is 9.73 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 4 kNm before any stability check.

The second moment of area about the major axis, Iy, is 36.5 cm⁴, and about the minor axis Iz is 11.5 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 2.99 cm about the major axis and iz is 1.67 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.67 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 0.075 cm⁴, and the warping constant Iw is 0.171 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 60x30x10-1.62LC 60x30x10-2.25LC 75x45x15-2.31LC 75x45x15-4.12LC 75x45x15-4.37LC 100x50x20-2.88LC 100x50x20-4.06LC 100x50x20-5.18

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