SHS 12×12×1 - Section Properties

SHS 12×12×1 has a mass of 0.357 kg/m, tabulated to EN 10219. A 12 m length therefore weighs about 4 kg, which is the figure to use for a steel take-off or when checking a lift.

SHS 12×12×1 has a depth of 12 mm, a width of 12 mm, a wall thickness of 1 mm, with a cross-sectional area of 0.414 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 0.167 cm³, and the elastic modulus Wel,y is 0.135 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 0 kNm before any stability check.

The second moment of area about the major axis, Iy, is 0.081 cm⁴, and about the minor axis Iz is 0.081 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 0.442 cm about the major axis and iz is 0.442 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 0.442 cm a 0.0 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 0.138 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.