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H-400x400x13x21 - Section Properties

The H-400x400x13x21 is a European narrow I-beam with a mass of 172 kg/m, an overall depth of 400 mm and width of 400 mm. It has a cross-sectional area of 219 cm², a second moment of area Iᵧ of 66620 cm⁴, a plastic modulus Wₚₗ,ᵧ of 3672 cm³, tabulated by CivilAxis from Continental Steel.

Mass
172 kg/m
Depth
400 mm
Width
400 mm
Area
219 cm²
Ask about capacity, buckling or detailing for H-400x400x13x21.
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MB & MC section profile showing the dimension symbols used for H-400x400x13x21

Dimension symbols for MB & MC sections. Not to scale.

H-400x400x13x21 section properties to Continental Steel.

Geometry

Depth of sectionh400
Width of sectionb400
Web thicknesstw13
Flange thicknesstf21
Root fillet radiusr22
Depth between filletsd314

Mass and area

Mass per metremass172
Cross-sectional areaA219

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy66620
Elastic section modulus about y-axisWel,y3331
Plastic section modulus about y-axisWpl,y3672
Radius of gyration about y-axisiy17.5

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz22420
Elastic section modulus about z-axisWel,z1121
Plastic section modulus about z-axisWpl,z1700
Radius of gyration about z-axisiz10.1

Torsion and warping

Torsion constant (St Venant)It303
Warping constantIw8.05

Classification and stability

Flange local-buckling ratiocf/tf9.52
Web local-buckling ratiocw/tw24.2
Buckling parameteru0.85
Torsional indexX18.2

Detailing dimensions

End clearanceC9
Notch dimension NN204
Notch dimension nn43

Surface area

Surface area per metreSA/m2.34

Is H-400x400x13x21 strong enough?

Simply supported beam, uniform load, major-axis bending - to EN 1993-1-1.

Passes - 60% utilised, deflection governs
Bending36%
420.0 / 1182.5 kNm
Shear16%
210.0 / 1290.6 kN
Deflection60%
13.3 / 22.2 mm

Class 3 section. ULS uses γQ = 1.5 on the load you enter; deflection uses the unfactored load against L/360. Lateral-torsional buckling is not included - the compression flange is assumed restrained.

Common questions about H-400x400x13x21

H-400x400x13x21 has a mass of 172 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 2064 kg, which is the figure to use for a steel take-off or when checking a lift.

H-400x400x13x21 has a depth of 400 mm, a width of 400 mm, a web thickness of 13 mm, a flange thickness of 21 mm, with a cross-sectional area of 219 cm². These are the nominal dimensions from Continental Steel; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 3,672 cm³, and the elastic modulus Wel,y is 3,331 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 1304 kNm before any stability check.

The second moment of area about the major axis, Iy, is 66,620 cm⁴, and about the minor axis Iz is 22,420 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.

Its local-buckling ratios are cf/tf = 9.52 for the flange and cw/tw = 24.2 for the web. EN 1993-1-1 Table 5.2 compares these against limits scaled by epsilon = sqrt(235/f_y), so the class depends on the steel grade as well as the geometry - the same section can be Class 1 in S275 and Class 3 in S355. Use the Capacity tab on this page for the classification at a specific grade.

iy is 17.5 cm about the major axis and iz is 10.1 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 10.1 cm a 1.0 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 303 cm⁴, and the warping constant Iw is 8.05 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 MB & MC sizes

H-400x300x12x19H-400x300x13x22H-400x400x15x15H-400x400x11x18H-400x400x21x21H-400x400x16x24H-400x400x18x28H-400x400x25x25

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📘 How to read a steel section table (UB, UC, IPE, HE)📘 Section modulus explained: elastic (Wel) vs plastic (Wpl)📘 IPE vs HE (HEA/HEB): choosing a European steel beam
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