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EA 50×50×5 - Section Properties

The EA 50×50×5 is a equal angle with a mass of 3.77 kg/m, an overall depth of 50 mm and width of 50 mm. It has a cross-sectional area of 4.8 cm², a second moment of area Iᵧ of 11 cm⁴, an elastic modulus Wₑₗ,ᵧ of 3.05 cm³, tabulated by CivilAxis from BS EN 1993-1-1:2005 / BS EN 10056-1:1999 (SCI P363 Blue Book).

Mass
3.77 kg/m
Depth
50 mm
Width
50 mm
Area
4.8 cm²
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EA section profile showing the dimension symbols used for EA 50×50×5

Dimension symbols for EA sections. Not to scale.

EA 50×50×5 section properties to BS EN 1993-1-1:2005 / BS EN 10056-1:1999.

Geometry

Depth of sectionh50
Width of sectionb50
Web thicknesstw5
Flange thicknesstf5
Root fillet radiusr7
Toe radiusr23.5

Mass and area

Mass per metremass3.77
Cross-sectional areaA4.8

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy11
Elastic section modulus about y-axisWel,y3.05
Radius of gyration about y-axisiy1.51

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz11
Elastic section modulus about z-axisWel,z3.05
Radius of gyration about z-axisiz1.51

Principal axes

Area moment of inertia about u-u (major principal) axisIu17.4
Area moment of inertia about v-v (minor principal) axisIv4.55
Radius of gyration about u-u axisiu1.9
Radius of gyration about v-v axisiv0.973
Elastic section modulus about u-u axisWel,u3.05
Elastic section modulus about v-v axisWel,v3.05

Torsion and warping

Torsion constant (St Venant)It0.45

Detailing dimensions

Centroid distance from back of leg (y)cy1.4
Centroid distance from back of leg (z)cz1.4

Common questions about EA 50×50×5

EA 50×50×5 has a mass of 3.77 kg/m, tabulated to BS EN 1993-1-1:2005 / BS EN 10056-1:1999. A 12 m length therefore weighs about 45 kg, which is the figure to use for a steel take-off or when checking a lift.

EA 50×50×5 has a depth of 50 mm, a width of 50 mm, a web thickness of 5 mm, a flange thickness of 5 mm, with a cross-sectional area of 4.8 cm². These are the nominal dimensions from BS EN 1993-1-1:2005 / BS EN 10056-1:1999; rolling tolerances apply to the delivered section.

The elastic section modulus about the major axis, Wel,y, is 3.05 cm³. Angles are tabulated about their principal (u-u and v-v) axes rather than a plastic major-axis modulus, so the elastic value is the one to design from unless you are working from the principal-axis properties directly.

The second moment of area about the major axis, Iy, is 11 cm⁴, and about the minor axis Iz is 11 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 1.51 cm about the major axis and iz is 1.51 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.51 cm a 0.2 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 0.45 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.

Related EA sizes

EA 60×60×8EA 60×60×6EA 60×60×5EA 50×50×6EA 50×50×4EA 45×45×5EA 40×40×5EA 40×40×4

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