Fixed-End Moment of a Cantilever Beam
Easyreactionscantilever
A 4 m cantilever is fixed at its left end and carries a 5 kN downward point load at the free end. What is the moment reaction at the fixed support?
- A20 kN·m
- B5 kN·m
- C10 kN·m
- D40 kN·m
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Answer: A. 20 kN·m
ΣM about the fixed end: MA − 5 · 4 = 0 → MA = 20 kN·m (counter-clockwise, resisting the load). The vertical reaction is 5 kN. For a cantilever the fixed end always takes the full P · L.
kN·m
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