SHS 450×450×32 - Section Properties

SHS 450×450×32 has a mass of 399 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 4788 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 450×450×32 has a depth of 450 mm, a width of 450 mm, a wall thickness of 32 mm, with a cross-sectional area of 524 cm². These are the nominal dimensions from EN 10219; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 8,143 cm³, and the elastic modulus Wel,y is 6,696 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 2891 kNm before any stability check.

The second moment of area about the major axis, Iy, is 150,700 cm⁴, and about the minor axis Iz is 150,700 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 17 cm about the major axis and iz is 17 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 17 cm a 1.7 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 241,700 cm⁴. Closed sections carry torsion in a shear flow around the perimeter, which makes them far stiffer in torsion than an open section of the same weight and is usually why one is specified.