Solution: One-way Slab Design
Given Parameters
- Clear Span: 4.0 m
- Live Load: 3.0 kN/m²
- Floor Finish: 1.0 kN/m²
- Grade of Concrete: M25
- Grade of Steel: Fe500
Step-by-Step Solution
1
Preliminary Sizing
1.1 Effective Span
Effective span = Clear span + effective depth
- Assume 20mm clear cover
- Assume 12mm bar diameter
- Effective depth (d) = 200 - 20 - 6 = 174mm
- Effective span = 4000 + 174 = 4174mm
1.2 Loading
Calculate total load:
- Self weight = 0.2 × 25 = 5.0 kN/m²
- Floor finish = 1.0 kN/m²
- Live load = 3.0 kN/m²
- Total load = 9.0 kN/m²
- Factored load = 1.5 × 9.0 = 13.5 kN/m²
2
Analysis
2.1 Bending Moment
- Maximum moment = wu × l²/8
- = 13.5 × 4.174²/8
- = 29.4 kN⋅m
2.2 Shear Force
- Maximum shear = wu × l/2
- = 13.5 × 4.174/2
- = 28.2 kN
3
Design
3.1 Flexural Reinforcement
- Mu = 29.4 kN⋅m
- d = 174mm
- Required As = 485 mm²
- Provide 12mm @ 200mm c/c (565 mm²)
3.2 Distribution Steel
- Minimum As = 0.12% of gross area
- = 240 mm²
- Provide 8mm @ 200mm c/c (251 mm²)
4
Final Design
Design Summary
- Depth: 200mm
- Main steel: 12mm @ 200mm c/c
- Distribution steel: 8mm @ 200mm c/c
- Clear cover: 20mm