Governing LRFD Load Combination

Easyload combinationsLRFD
A floor beam carries a dead load of 20 kN/m and a live load of 15 kN/m. Using the LRFD combinations 1.4D and 1.2D + 1.6L, the governing factored load is most nearly:
  1. A28.0 kN/m
  2. B48.0 kN/m
  3. C35.0 kN/m
  4. D52.5 kN/m
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Answer: B. 48.0 kN/m

Equation: check the LRFD combinations 1.4D and 1.2D + 1.6L; the larger governs. Values: D = 20 kN/m, L = 15 kN/m. Step 1: 1.4D = 1.4 × 20 = 28 kN/m. Step 2: 1.2D + 1.6L = 24 + 24 = 48 kN/m. Step 3: the larger, 48 kN/m, governs. 28 kN/m uses 1.4D only; 35 kN/m is unfactored; 52.5 kN/m applies 1.5 to both.
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