Indeterminacy of a Propped Cantilever

Mediumindeterminacysupports
A planar propped cantilever is fixed at one end and supported by a vertical roller at the other. What is its degree of static indeterminacy?
  1. A0
  2. B1
  3. C2
  4. D3
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Answer: B. 1

The fixed support supplies three reactions and the roller supplies one, for four unknown reactions. A planar beam has three independent equilibrium equations, so there is one redundant reaction: 4 − 3 = 1.
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