Max Design Axial Load on a Tied Column

Easycolumndesign-strengthaxial-cap
A short tied column has nominal concentric strength P₀ = 5,000 kN. Its maximum design axial strength is Pdesign,max = 0.80φP₀ with φ = 0.65. Slenderness does not govern. What is Pdesign,max?
  1. A3,250 kN
  2. B4,000 kN
  3. C2,250 kN
  4. D2,600 kN
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Answer: D. 2,600 kN

Equation: Pdesign,max = 0.80φP₀. Substitution: φP₀ = 0.65(5,000) = 3,250 kN; 0.80(3,250) = 2,600 kN (combined multiplier 0.52). Wrong: 3,250 kN omits the 0.80 axial cap; 4,000 kN omits φ; 2,250 kN subtracts the reductions (5,000(1 − 0.20 − 0.35)) instead of multiplying them.
kN
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