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