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A propped cantilever is indeterminate externally of:

  • A.Third degree
  • B.Fourth degree
  • C.Second degree
  • D.First degree

Answer: D

A propped cantilever is externally indeterminate to the first degree.

The fixed end supplies three reactions (horizontal, vertical and moment) and the prop adds one vertical reaction, four in all. A plane structure has only three equations of static equilibrium, so one reaction is redundant: 4 - 3 = 1.

A fixed beam (both ends fixed) would be third degree with six reactions, and second degree would correspond to five unknown reactions. Fourth degree has no basis for a single-span propped cantilever.

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