Max Moment from a Midspan Point Load

Easybending momentpoint load
A simply supported beam of span L = 6 m carries a single downward point load P = 30 kN at midspan. What is the maximum bending moment?
  1. A45 kN·m
  2. B90 kN·m
  3. C180 kN·m
  4. D22.5 kN·m
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Answer: A. 45 kN·m

Each reaction is P/2 = 15 kN. Under the load, M = R · L/2 = 15 · 3 = 45 kN·m, which is the standard Mmax = P L / 4 = 30 · 6 / 4 = 45 kN·m. 90 kN·m is P L / 2.
kN·m
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