Fixed-End Moment of a Fixed-Fixed Beam

Mediumfixed beammoment
A beam of 8 m span is rigidly fixed against rotation at both ends and carries a single 60 kN point load at midspan. The magnitude of the moment at each fixed end is most nearly:
  1. A60 kN·m
  2. B90 kN·m
  3. C120 kN·m
  4. D240 kN·m
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Answer: A. 60 kN·m

For a fixed-fixed beam with a central point load, the fixed-end moment is PL/8 = 60(8)/8 = 60 kN·m, and the midspan moment has the same magnitude but opposite sign. The value 120 kN·m is PL/4, which is the midspan moment for a simply supported beam; fixing the ends halves the peak moment, which is the point of the comparison.
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