Calculations › Steel Universal Beam
Steel Universal Beam
EN 1993-1-1
Checks a steel universal beam for cross-section classification, bending, shear and lateral-torsional buckling to EN 1993-1-1.
Diagram
Example inputs
Span5000 mm
Ultimate UDL (wEd)15 kN/m
Characteristic UDL (wk)10 kN/m
Section305x165x40UB
Steel gradeS275
LTB restraintfull
National annexUK
Results
Steel UB — 305x165x40UB
S275 · Full restraint · EN 1993-1-1
Results
✓ Bending PASS
util 0.2746.88EN 1993-1-1 §6.2.5
| fy yield strength = from grade and tf | 275 | N/mm² | EN 1993-1-1 Table 3.1 |
| MEd design moment = wEd × L² / 8 | 46.88 | kNm | EN 1993-1-1 §6.2.5 |
| Wpl,y plastic modulus | 623 | cm³ | |
| Mc,Rd moment resistance = Wpl,y × fy / γM0 | 171.33 | kNm | EN 1993-1-1 §6.2.5 |
✓ Shear PASS
util 0.1437.50EN 1993-1-1 §6.2.6
| VEd design shear = wEd × L / 2 | 37.5 | kN | EN 1993-1-1 §6.2.6 |
| hw web height = h − 2tf | 283 | mm | |
| Av shear area = hw × tw | 1698 | mm² | EN 1993-1-1 §6.2.6(3) |
| Vpl,Rd shear resistance = Av × fy / (√3 × γM0) | 269.59 | kN | EN 1993-1-1 §6.2.6 |
✓ LTB PASS
util 0.2746.88EN 1993-1-1 §6.3.2
| Restraint condition | 1 | — | |
| χLT reduction factor | 1 | — | EN 1993-1-1 §6.3.2 |
| Mb,Rd buckling resistance = χLT Wpl,y fy / γM1 | 171.33 | kNm |
✓ Deflection PASS
util 0.334.56EN 1993-1-1 §NA.2.23
| Iy second moment of area | 8503 | cm⁴ | |
| δ instantaneous deflection = 5wkL⁴/(384EI) | 4.56 | mm | EN 1993-1-1 §7.2 |
| δ_limit L/360 = L / 360 | 13.89 | mm | EN 1993-1-1 §NA.2.23 |
Try it yourself
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