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HE 400 M - Section Properties

The HE 400 M is a European wide-flange beam (HE) with a mass of 256 kg/m, an overall depth of 432 mm and width of 307 mm. It has a cross-sectional area of 326 cm², a second moment of area Iᵧ of 104000 cm⁴, a plastic modulus Wₚₗ,ᵧ of 5570 cm³, tabulated by CivilAxis from EN 10365 · Continental Steel.

Mass
256 kg/m
Depth
432 mm
Width
307 mm
Area
326 cm²
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HE section profile showing the dimension symbols used for HE 400 M

Dimension symbols for HE sections. Not to scale.

HE 400 M section properties to EN 10365 · Continental Steel.

Geometry

Depth of sectionh432
Width of sectionb307
Web thicknesstw21
Flange thicknesstf40
Root fillet radiusr27
Depth between filletsd298

Mass and area

Mass per metremass256
Cross-sectional areaA326

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy104000
Elastic section modulus about y-axisWel,y4820
Plastic section modulus about y-axisWpl,y5570
Radius of gyration about y-axisiy17.9

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz19300
Elastic section modulus about z-axisWel,z1260
Plastic section modulus about z-axisWpl,z1930
Radius of gyration about z-axisiz7.7

Torsion and warping

Torsion constant (St Venant)It1520
Warping constantIw7.41

Classification and stability

Flange local-buckling ratiocf/tf2.9
Web local-buckling ratiocw/tw14.2
Buckling parameteru8.155
Torsional indexX10.3

Detailing dimensions

End clearanceC13
Notch dimension NN154
Notch dimension nn68

Surface area

Surface area per metreSA/m2

Is HE 400 M strong enough?

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

Passes - 61% utilised, deflection governs
Bending32%
623.2 / 1977.3 kNm
Shear13%
293.3 / 2262.8 kN
Deflection61%
14.3 / 23.6 mm

Class 1 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 HE 400 M

HE 400 M has a mass of 256 kg/m, tabulated to EN 10365. A 12 m length therefore weighs about 3072 kg, which is the figure to use for a steel take-off or when checking a lift.

HE 400 M has a depth of 432 mm, a width of 307 mm, a web thickness of 21 mm, a flange thickness of 40 mm, with a cross-sectional area of 326 cm². These are the nominal dimensions from EN 10365; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 5,570 cm³, and the elastic modulus Wel,y is 4,820 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 1977 kNm before any stability check.

The second moment of area about the major axis, Iy, is 104,000 cm⁴, and about the minor axis Iz is 19,300 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 = 2.9 for the flange and cw/tw = 14.2 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 17.9 cm about the major axis and iz is 7.7 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 7.7 cm a 0.8 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 1,520 cm⁴, and the warping constant Iw is 7.41 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 HE sizes

HE 360 MHE 400 AAHE 400 AHE 400 BHE 450 AAHE 450 AHE 450 BHE 450 M

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