Fixed Support Moment of a Cantilever

Easybending momentcantilever
A 3 m cantilever carries a uniformly distributed load of 8 kN/m along its whole length. What is the bending moment at the fixed support?
  1. A36 kN·m
  2. B18 kN·m
  3. C72 kN·m
  4. D24 kN·m
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Answer: A. 36 kN·m

The resultant W = 8 · 3 = 24 kN acts at the centroid of the load, 1.5 m from the wall: M = 24 · 1.5 = 36 kN·m, i.e. M = w L2 / 2. 18 kN·m is w L2 / 4, which isn't a standard case; 24 kN·m is the total load, not a moment.
kN·m
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