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UJ 76×76×13 - Section Properties

The UJ 76×76×13 is a universal joist with a mass of 12.8 kg/m, an overall depth of 76.2 mm and width of 76.2 mm. It has a cross-sectional area of 16.2 cm², a second moment of area Iᵧ of 158 cm⁴, a plastic modulus Wₚₗ,ᵧ of 48.7 cm³, tabulated by CivilAxis from BS 4-1:2005 (SCI P363 Blue Book).

Mass
12.8 kg/m
Depth
76.2 mm
Width
76.2 mm
Area
16.2 cm²
Ask about capacity, buckling or detailing for UJ 76×76×13.
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UJ section profile showing the dimension symbols used for UJ 76×76×13

Dimension symbols for UJ sections. Not to scale.

UJ 76×76×13 section properties to BS 4-1:2005.

Geometry

Depth of sectionh76.2
Width of sectionb76.2
Web thicknesstw5.1
Flange thicknesstf8.4
Root fillet radiusr9.4
Toe radiusr24.6
Depth between filletsd38.1

Mass and area

Mass per metremass12.8
Cross-sectional areaA16.2

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy158
Elastic section modulus about y-axisWel,y41.5
Plastic section modulus about y-axisWpl,y48.7
Radius of gyration about y-axisiy3.12

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz51.8
Elastic section modulus about z-axisWel,z13.6
Plastic section modulus about z-axisWpl,z22.4
Radius of gyration about z-axisiz1.79

Torsion and warping

Torsion constant (St Venant)It4.59
Warping constantIw0.000595

Classification and stability

Flange local-buckling ratiocf/tf3.11
Web local-buckling ratiocw/tw7.47
Buckling parameteru0.853
Torsional indexX7.2

Detailing dimensions

End clearanceC5
Notch dimension NN42
Notch dimension nn20

Surface area

Surface area per metreSA/m0.411
Surface area per tonneSA/t32.1m²/t

Is UJ 76×76×13 strong enough?

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

Passes - 62% utilised, deflection governs
Bending32%
5.5 / 17.3 kNm
Shear13%
14.6 / 110.8 kN
Deflection62%
2.6 / 4.2 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 UJ 76×76×13

UJ 76×76×13 has a mass of 12.8 kg/m, tabulated to BS 4-1:2005. A 12 m length therefore weighs about 154 kg, which is the figure to use for a steel take-off or when checking a lift.

UJ 76×76×13 has a depth of 76.2 mm, a width of 76.2 mm, a web thickness of 5.1 mm, a flange thickness of 8.4 mm, with a cross-sectional area of 16.2 cm². These are the nominal dimensions from BS 4-1:2005; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 48.7 cm³, and the elastic modulus Wel,y is 41.5 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 17 kNm before any stability check.

The second moment of area about the major axis, Iy, is 158 cm⁴, and about the minor axis Iz is 51.8 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 = 3.11 for the flange and cw/tw = 7.47 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 3.12 cm about the major axis and iz is 1.79 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 1.79 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 4.59 cm⁴, and the warping constant Iw is 0.000595 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 UJ sizes

UJ 127×114×29UJ 127×114×27UJ 127×76×16UJ 114×114×27UJ 102×102×23UJ 102×44×7UJ 89×89×19UJ 76×76×15

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