Calculations › SLS Crack Control
SLS Crack Control
EN 1992-1-1
Calculates crack width and verifies minimum reinforcement for a rectangular section under quasi-permanent bending to EN 1992-1-1 §7.3.
Example inputs
Section width b300 mm
Total depth h400 mm
Nominal cover35 mm
Bar diameter ø16 mm
Bar spacing125 mm
Concrete gradeC25/30
Exposure classXC2_XC3
Quasi-permanent moment MEd40 kNm
National AnnexUK
Results
SLS Crack Control
EN 1992-1-1 §7.3 · C25/30 · b=300mm · h=400mm
Results
✓ CRACK WIDTH PASS
util 0.870.26EN 1992-1-1 §7.3.4
| Effective depth d = h − cover − ø/2 | 357 | mm | |
| Steel area As = (b/s)·π·ø²/4 | 482.55 | mm² | |
| Modular ratio αe = Es / Ecm | 6.45 | — | |
| Neutral axis depth x = quadratic solution | 76.32 | mm | |
| Steel stress σs = MEd / (As·(d − x/3)) | 250.01 | N/mm² | |
| hc,eff = min(2.5(h−d), (h−x)/3, h/2) | 107.5 | mm | EN 1992-1-1 §7.3.2 |
| ρp,eff = As / (b·hc,eff) | 0.015 | — | |
| sr,max = k₃·c + k₄·k₁·k₂·ø/ρp,eff | 300.78 | mm | EN 1992-1-1 §7.3.4 |
| εsm − εcm = (σs − kt·fctm/ρp,eff·(1+αe·ρp,eff)) / Es | 0.0009 | — | EN 1992-1-1 §7.3.4 |
| Crack width wk = sr,max · (εsm − εcm) | 0.2614 | mm | EN 1992-1-1 §7.3.4 |
| wmax | 0.3 | mm | EN 1992-1-1 Table 7.1N |
✓ MIN REINFORCEMENT PASS
util 0.24116.06EN 1992-1-1 §7.3.2
| kc (pure bending) | 0.4 | — | |
| k (depth factor) | 0.93 | — | EN 1992-1-1 §7.3.2 |
| Act (tension area) = b·h/2 | 60000 | mm² | |
| As,min = kc·k·fctm·Act / fyk | 116.06 | mm² | EN 1992-1-1 §7.3.2 |
| As provided | 482.55 | mm² |
Try it yourself
Run this calc with your own inputs