Maximum Moment for a 50 kN Point Load
Mediumbending momentpoint load
A simply supported beam of span 10 m carries a single 50 kN point load 3 m from the left support. The maximum bending moment is most nearly:
- A75 kN·m
- B105 kN·m
- C125 kN·m
- D150 kN·m
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Answer: B. 105 kN·m
Taking moments about the right support, Rleft = P(L − a)/L = 50(7)/10 = 35 kN. The maximum moment occurs under the load itself: M = Rleft × a = 35 × 3 = 105 kN·m. Using PL/4 = 125 kN·m assumes the load sits at midspan, which overstates the moment for any off-centre position.
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