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H-400x200x7x11-56.6 - Section Properties

The H-400x200x7x11-56.6 is a European narrow I-beam with a mass of 56.6 kg/m, an overall depth of 396 mm and width of 199 mm. It has a cross-sectional area of 72.2 cm², a second moment of area Iᵧ of 20020 cm⁴, a plastic modulus Wₚₗ,ᵧ of 1128 cm³, tabulated by CivilAxis from Continental Steel.

Mass
56.6 kg/m
Depth
396 mm
Width
199 mm
Area
72.2 cm²
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MB & MC section profile showing the dimension symbols used for H-400x200x7x11-56.6

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

H-400x200x7x11-56.6 section properties to Continental Steel.

Geometry

Depth of sectionh396
Width of sectionb199
Web thicknesstw7
Flange thicknesstf11
Root fillet radiusr16
Depth between filletsd342

Mass and area

Mass per metremass56.6
Cross-sectional areaA72.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy20020
Elastic section modulus about y-axisWel,y1011
Plastic section modulus about y-axisWpl,y1128
Radius of gyration about y-axisiy16.7

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz1448
Elastic section modulus about z-axisWel,z145
Plastic section modulus about z-axisWpl,z224
Radius of gyration about z-axisiz4.48

Torsion and warping

Torsion constant (St Venant)It27.1
Warping constantIw0.536

Classification and stability

Flange local-buckling ratiocf/tf9.05
Web local-buckling ratiocw/tw48.9
Buckling parameteru0.884
Torsional indexX35.6

Detailing dimensions

End clearanceC6
Notch dimension NN106
Notch dimension nn27

Surface area

Surface area per metreSA/m1.55

Is H-400x200x7x11-56.6 strong enough?

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

Passes - 63% utilised, deflection governs
Bending33%
132.0 / 400.4 kNm
Shear10%
66.0 / 670.4 kN
Deflection63%
14.0 / 22.2 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 H-400x200x7x11-56.6

H-400x200x7x11-56.6 has a mass of 56.6 kg/m, tabulated to Continental Steel. A 12 m length therefore weighs about 679 kg, which is the figure to use for a steel take-off or when checking a lift.

H-400x200x7x11-56.6 has a depth of 396 mm, a width of 199 mm, a web thickness of 7 mm, a flange thickness of 11 mm, with a cross-sectional area of 72.2 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 1,128 cm³, and the elastic modulus Wel,y is 1,011 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 400 kNm before any stability check.

The second moment of area about the major axis, Iy, is 20,020 cm⁴, and about the minor axis Iz is 1,448 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 = 9.05 for the flange and cw/tw = 48.9 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 16.7 cm about the major axis and iz is 4.48 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 4.48 cm a 0.4 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 27.1 cm⁴, and the warping constant Iw is 0.536 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-350x350x12x19-137H-350x350x14x22H-350x350x16x25H-400x200x7x11-56.1H-400x200x8x13-65.4H-400x200x8x13-66H-400x200x9x15H-400x200x10x18

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