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MC 7X22.7 - Section Properties

The MC 7X22.7 is a steel section with a mass of 33.8 kg/m, an overall depth of 177.8 mm and width of 91.4 mm. It has a cross-sectional area of 43 cm², a second moment of area Iᵧ of 1973 cm⁴, a plastic modulus Wₚₗ,ᵧ of 268.75 cm³, tabulated by CivilAxis from AISC Shapes Database v16.0.

Mass
22.7 lb/ft (33.8 kg/m)
Depth
7 in (177.8 mm)
Width
3.6 in (91.4 mm)
Area
6.67 in² (43 cm²)
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MC section profile showing the dimension symbols used for MC 7X22.7

Dimension symbols for MC sections. Not to scale.

MC 7X22.7 section properties to AISC Shapes Database v16.0.

Geometry

Depth of sectionh7
177.8 mm
Width of sectionb3.6
91.4 mm
Web thicknesstw0.503
12.8 mm
Flange thicknesstf0.5
12.7 mm

Mass and area

Mass per metremass22.7
33.8 kg/m
Cross-sectional areaA6.67
43 cm²

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy47.4
1973 cm⁴
Elastic section modulus about y-axisWel,y13.5
221.23 cm³
Plastic section modulus about y-axisWpl,y16.4
268.75 cm³
Radius of gyration about y-axisiy2.67
6.78 cm

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz7.24
301.4 cm⁴
Elastic section modulus about z-axisWel,z2.83
46.375 cm³
Plastic section modulus about z-axisWpl,z5.38
88.162 cm³
Radius of gyration about z-axisiz1.04
2.64 cm

Torsion and warping

Torsion constant (St Venant)It0.625
26.01 cm⁴
Warping constantIw58.3
0.02 dm⁶

Common questions about MC 7X22.7

MC 7X22.7 has a mass of 22.7 lb/ft (33.8 kg/m), tabulated to AISC Shapes Database v16.0. A 12 m length therefore weighs about 406 kg, which is the figure to use for a steel take-off or when checking a lift.

MC 7X22.7 has a depth of 7 in (177.8 mm), a width of 3.6 in (91.4 mm), a web thickness of 0.503 in (12.8 mm), a flange thickness of 0.5 in (12.7 mm), with a cross-sectional area of 6.67 in² (43 cm²). These are the nominal dimensions from AISC Shapes Database v16.0; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 268.75 cm³, and the elastic modulus Wel,y is 221.23 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 95 kNm before any stability check.

The second moment of area about the major axis, Iy, is 1,973 cm⁴, and about the minor axis Iz is 301.4 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 6.78 cm about the major axis and iz is 2.64 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 2.64 cm a 0.3 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 26.01 cm⁴, and the warping constant Iw is 0.02 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 MC sizes

MC 8X21.4MC 8X20MC 8X18.7MC 8X8.5MC 7X19.1MC 6X18MC 6X15.3MC 6X16.3

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