Slab Steel Area per Meter Width

Mediumslabflexuresteel-area
A 1.0 m wide slab strip has factored moment Mu = 16 kN·m, fy = 400 MPa, supplied lever arm z = 135 mm, and φ = 0.90. Use Mu ≤ φAsfyz. Minimum steel is separately supplied as 250 mm² per meter. What steel area per meter width is required?
  1. A296.3 mm²/m
  2. B329.2 mm²/m
  3. C250 mm²/m
  4. D266.7 mm²/m
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Answer: B. 329.2 mm²/m

Equation: As ≥ Mu/(φfyz), then compare with As,min. Inputs: Mu = 16×10⁶ N·mm. Substitution: As = 16×10⁶/[0.90(400)(135)] = 329.2 mm²/m, which exceeds 250, so flexure governs. Wrong: 296.3 mm²/m omits φ; 250 mm²/m takes the minimum although the flexural requirement is larger; 266.7 mm²/m multiplies Mu by φ instead of dividing the capacity by it.
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