RCC Beam Design (Singly Reinforced)
Structural IS 456:2000~3 min
Design a singly reinforced RCC beam for bending moment as per IS 456:2000.
Formula
Ast = Mu / (0.87 × fy × (d - 0.42 × xu))
Input Parameters
Results
Limiting Neutral Axis (xu,max/d)
0.649
Limiting Moment (Mu,lim)
197.93kN·m
Steel Area Required (Ast)
613mm²
Step-by-Step Method
- 1Calculate limiting neutral axis depth ratio xu,max/d.
- 2Calculate limiting moment of resistance Mu,lim.
- 3If Mu ≤ Mu,lim → singly reinforced beam is adequate.
- 4Calculate required Ast using the quadratic formula.
Engineering Notes
- •For Fe500: xu,max/d ≈ 0.46; for Fe415: ≈ 0.48.
- •Minimum Ast = 0.85bd/fy (IS 456 Cl. 26.5.1.1).
- •Maximum Ast = 0.04bD.
Code Reference
IS 456:2000
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