Calculations › RC Beam
RC Beam
EN 1992-1-1
Verifies an RC beam against bending, shear and deflection to EN 1992-1-1 using the simplified rectangular stress block method.
Diagram
Example inputs
Span6000 mm
Width b250 mm
Effective depth d397 mm
Total depth h450 mm
Ultimate load w_Ed24.7 kN/m
Characteristic load w_k16.5 kN/m
Concrete gradeC25/30
National AnnexUK
Results
RC Beam Design
EN 1992-1-1 · C25/30 · b=250mm · h=450mm
Results
✓ BENDING PASS
util 0.67111.15EN 1992-1-1 §6.1
| Concrete design strength fcd = fck × 0.85 / γc | 14.17 | N/mm² | EN 1992-1-1 §3.1.6 |
| Steel design strength fyd = fyk / γs | 434.78 | N/mm² | EN 1992-1-1 §3.2.7 |
| Design moment MEd = wEd × L² / 8 | 111.15 | kNm | EN 1992-1-1 §6.1 |
| K factor = MEd / (b × d² × fck) | 0.1128 | — | EN 1992-1-1 §6.1 |
| K' limit (singly reinforced) | 0.168 | — | |
| lever arm z = d × (0.5 + √(0.25 − K / 1.134)) | 352.5 | mm | EN 1992-1-1 §6.1 |
| Required reinforcement As,req = MEd / (fyd × z) | 725 | mm² |
✗ SHEAR FAIL
util 1.9174.10EN 1992-1-1 §6.2.2
| Design shear force VEd = wEd × L / 2 | 74.1 | kN | EN 1992-1-1 §6.2 |
| vRd,c minimum = 0.035 × √fck × (1 + √(200/d))^1.5 | 0.3912 | N/mm² | EN 1992-1-1 §6.2.2 |
| VRd,c capacity = vRd,c × b × d | 38.83 | kN | EN 1992-1-1 §6.2.2 |
✓ DEFLECTION PASS
util 0.8915.10EN 1992-1-1 §7.4.2
| Steel ratio ρ = As,req / (b × d) | 0.0073 | — | |
| Reference ratio ρ₀ = √fck × 10⁻³ | 0.005 | — | EN 1992-1-1 §7.4.2 |
| Basic span/depth ratio | 27.3 | — | EN 1992-1-1 §7.4.2 |
| Permitted span/depth ratio | 16.9 | — | |
| Actual span/depth ratio = L / d | 15.1 | — |
Try it yourself
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