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SHS 50×50×4 vs SHS 50×50×4.5

SHS 50×50×4 is an SHS Hot-finished section from the UK Blue Book (SCI P363); SHS 50×50×4.5 is the closest equivalent in the European (Continental) range. SHS 50×50×4.5 carries more bending: 12.8 cm³ of plastic modulus against 12.3 cm³, 3.9% more. SHS 50×50×4 is the lighter of the two at 5.64 kg/m against 6.11 kg/m, a saving of 7.7% on steel weight. Both are about 50 mm deep, so either fits the same construction zone.

Section properties side by side. Bold marks the more favourable value where one is.
PropertySHS 50×50×4
SHS Hot-finished
SHS 50×50×4.5
SHS Cold-formed
Difference
Mass5.6 kg/m6.1 kg/m-7.7%
Depth50 mm50 mmsame
Width50 mm50 mmsame
Web thickness0 mm0 mmsame
Flange thickness0 mm0 mmsame
Area7.2 cm²7.7 cm²-6.3%
Second moment, major (Iy)25 cm⁴25.5 cm⁴-2.0%
Plastic modulus, major (Wpl,y)12.3 cm³12.8 cm³-3.9%
Elastic modulus, major (Wel,y)9.99 cm³10.2 cm³-2.1%
Second moment, minor (Iz)25 cm⁴25.5 cm⁴-2.0%
Plastic modulus, minor (Wpl,z)12.3 cm³12.8 cm³-3.9%
Radius of gyration, minor (iz)1.86 cm1.82 cm+2.2%
Torsion constant (It)40.4 cm⁴44.1 cm⁴-8.4%

SHS 50×50×4 to BS EN 10210-2:2006; SHS 50×50×4.5 to EN 10219 · Continental Steel. Difference is expressed relative to SHS 50×50×4.5.

How to choose between them

On stiffness, SHS 50×50×4.5 has the larger second moment of area: 25.5 cm⁴ against 25 cm⁴, a difference of 2.0%. This matters more often than the strength comparison, because on normal floor spans deflection rather than bending capacity sets the beam size - so if the two are close on modulus but apart on inertia, the stiffer one is usually the better answer even when it is not the stronger one.

Measured as bending capacity per kilogram of steel, SHS 50×50×4 is the more efficient section: 2.2 against 2.1 cm³ per kg/m, 4.1% better. Over a floor of repeated beams that difference is real tonnage, though it is often outweighed by whichever section the fabricator can actually source.

These come from different catalogues, so treat the swap as a design change rather than a like-for-like substitution. SHS Hot-finished sections are specified to BS EN 10210-2:2006 and SHS Cold-formed to EN 10219 · Continental Steel; the steel grades, tolerances and available lengths differ, connection details and bolt gauges are set out differently, and the two are rarely both stocked in the same market. Check availability before changing a section on a drawing to save 7.7% weight.

In short, SHS 50×50×4.5 is the stronger section and SHS 50×50×4 is the lighter one; where those are the same section, it is the clear choice, and where they are not, decide on whether your design is governed by capacity or by tonnage.

Common questions

SHS 50×50×4.5 is the stronger of the two in bending, with a plastic modulus of 12.8 cm³ against 12.3 cm³ - 3.9% more. At the same steel grade that translates directly into moment capacity, since M_pl,Rd = W_pl x f_y / gamma_M0.

SHS 50×50×4 at 5.64 kg/m, against 6.11 kg/m for the other - a saving of 7.7%. Over a repeated floor beam that is a real cost difference, but check it against the deflection case before taking it.

Structurally it is the closest equivalent we hold: SHS 50×50×4.5 gives 12.8 cm³ of plastic modulus and 25.5 cm⁴ of inertia against 12.3 cm³ and 25 cm⁴. But they are from different catalogues (BS EN 10210-2:2006 and EN 10219 · Continental Steel), so this is a design change, not a drop-in swap: re-check deflection, connection detailing and local availability.

SHS 50×50×4.5, with a second moment of area of 25.5 cm⁴ against 25 cm⁴ (2.0% more). Deflection under a uniform load goes as 5wL⁴/384EI, so it is inversely proportional to I - on a span where the deflection limit governs rather than strength, this is the number that decides the section.

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SHS 50×50×3.6 vs SHS 50×50×4SHS 50×50×4 vs CF SHS 50×50×4
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