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Tee 178×305×46 - Section Properties

The Tee 178×305×46 is a structural tee with a mass of 46.1 kg/m, an overall depth of 301.5 mm and width of 178.8 mm. It has a cross-sectional area of 58.7 cm², a second moment of area Iᵧ of 5450 cm⁴, a plastic modulus Wₚₗ,ᵧ of 468 cm³, tabulated by CivilAxis from BS EN 10365:2017 (SCI P363 Blue Book).

Mass
46.1 kg/m
Depth
301.5 mm
Width
178.8 mm
Area
58.7 cm²
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Tees (from UB) section profile showing the dimension symbols used for Tee 178×305×46

Dimension symbols for Tees (from UB) sections. Not to scale.

Tee 178×305×46 section properties to BS EN 10365:2017.

Geometry

Depth of sectionh301.5
Width of sectionb178.8
Web thicknesstw10.9
Flange thicknesstf15
Root fillet radiusr12.7

Mass and area

Mass per metremass46.1
Cross-sectional areaA58.7

Bending about the major axis (y-y)

Area moment of inertia about y-axisIy5450
Elastic section modulus about y-axisWel,y255
Plastic section modulus about y-axisWpl,y468
Radius of gyration about y-axisiy9.64
Elastic section modulus at flange faceWel,y flange621
Elastic section modulus at toeWel,y toe255

Bending about the minor axis (z-z)

Area moment of inertia about z-axisIz718
Elastic section modulus about z-axisWel,z80.3
Plastic section modulus about z-axisWpl,z129
Radius of gyration about z-axisiz3.5

Torsion and warping

Torsion constant (St Venant)It35.3
Warping constantIw1050

Classification and stability

Flange local-buckling ratiocf/tf4.75
Web local-buckling ratiocw/tw27.7
Buckling parameteru0.71
Torsional indexX21.5
Mono-symmetry indexψ0.774

Detailing dimensions

Centroid distance from back of leg (y)cy8.78

Common questions about Tee 178×305×46

Tee 178×305×46 has a mass of 46.1 kg/m, tabulated to BS EN 10365:2017. A 12 m length therefore weighs about 553 kg, which is the figure to use for a steel take-off or when checking a lift.

Tee 178×305×46 has a depth of 301.5 mm, a width of 178.8 mm, a web thickness of 10.9 mm, a flange thickness of 15 mm, with a cross-sectional area of 58.7 cm². These are the nominal dimensions from BS EN 10365:2017; rolling tolerances apply to the delivered section.

The plastic section modulus about the major axis, Wpl,y, is 468 cm³, and the elastic modulus Wel,y is 255 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 166 kNm before any stability check.

The second moment of area about the major axis, Iy, is 5,450 cm⁴, and about the minor axis Iz is 718 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 = 4.75 for the flange and cw/tw = 27.7 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 9.64 cm about the major axis and iz is 3.5 cm about the minor axis. Column buckling is governed by the SMALLER value: the slenderness is lambda = L_cr / i, so with iz = 3.5 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 35.3 cm⁴, and the warping constant Iw is 1050 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 Tees (from UB) sizes

Tee 229×305×63Tee 229×305×57Tee 229×305×51Tee 178×305×50Tee 178×305×41Tee 312×267×136Tee 312×267×110Tee 312×267×91

Compare with other sections

Side-by-side properties against the closest equivalent in each catalogue.

vs WT 12X31

Learn more

📘 How to read a steel section table (UB, UC, IPE, HE)📘 Section modulus explained: elastic (Wel) vs plastic (Wpl)
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