LC 225x75x20-7.21 - Section Properties

LC 225x75x20-7.21 has a mass of 7.21 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 87 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 72.6 cm³, and the elastic modulus Wel,y is 61.7 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 26 kNm before any stability check.

The second moment of area about the major axis, Iy, is 694 cm⁴, and about the minor axis Iz is 65.3 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 8.71 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 0.165 cm⁴, and the warping constant Iw is 6.74 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.