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LC 250x75x20-12.99 - Section Properties

The LC 250x75x20-12.99 is a cold-formed lipped channel with a mass of 12.99 kg/m, a wall thickness of 4 mm. It has a cross-sectional area of 16.4 cm², a second moment of area Iᵧ of 1459 cm⁴, a plastic modulus Wₚₗ,ᵧ of 140 cm³, tabulated by CivilAxis from Continental Steel.

Mass
12.99 kg/m
Wall thickness
4 mm
Area
16.4 cm²
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Lipped Channel section profile showing the dimension symbols used for LC 250x75x20-12.99

Dimension symbols for Lipped Channel sections. Not to scale.

LC 250x75x20-12.99 section properties to Continental Steel.

Geometry

Wall thicknesst4
Root fillet radiusr10
Toe radiusr26

Mass and area

Mass per metremass12.99
Cross-sectional areaA16.4

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy1459
Elastic section modulus about y-axisWel,y117
Plastic section modulus about y-axisWpl,y140
Radius of gyration about y-axisiy9.43

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz105
Elastic section modulus about z-axisWel,z18.8
Plastic section modulus about z-axisWpl,z31.1
Radius of gyration about z-axisiz2.53

Torsion and warping

Torsion constant (St Venant)It0.905
Warping constantIw13.5

Classification and stability

Buckling parameteru0.851
Torsional indexX54.7

Detailing dimensions

Centroid distance from back of leg (y)cy1.93

Common questions about LC 250x75x20-12.99

LC 250x75x20-12.99 has a mass of 12.99 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 156 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 140 cm³, and the elastic modulus Wel,y is 117 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 50 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,459 cm⁴, and about the minor axis Iz is 105 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 9.43 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 0.905 cm⁴, and the warping constant Iw is 13.5 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 225x75x25-14LC 250x75x20-7.67LC 250x75x20-9.89LC 250x75x20-10.52LC 250x75x20-14.49LC 250x75x25-7.85LC 250x75x25-10.13LC 250x75x25-10.8

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