Max Moment in a Simply Supported Beam

Easybending momentuniform load
A simply supported beam spans 8 m and carries a uniform load of 15 kN/m. The maximum bending moment is most nearly:
  1. A120 kN·m
  2. B30 kN·m
  3. C240 kN·m
  4. D480 kN·m
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Answer: A. 120 kN·m

Equation: for a simply supported beam with a full-length uniform load, Mmax = wL²/8 at midspan. Values: w = 15 kN/m, L = 8 m (the span between supports). Step 1: L² = 64. Step 2: Mmax = 15 × 64 / 8 = 120 kN·m. 240 kN·m uses wL²/4; 480 kN·m uses the cantilever formula wL²/2; 30 kN·m treats the load as a point load.
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