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Civil Engineering QUESTION #2115
Question 1
A simply supported beam of span \(L\) carries a uniformly distributed load \(w\) per unit length. The ratio of maximum bending moment to maximum shear force is:
  • wL/4
  • L/2✔️
  • L/4
  • wL/8
Correct Answer Explanation
Maximum BM for UDL on simply supported beam \(= \dfrac{wL^2}{8}\) at midspan. Maximum SF \(= \dfrac{wL}{2}\) at supports. Ratio \(= \dfrac{wL^2/8}{wL/2} = \dfrac{L}{4}\). Wait — ratio \(= \dfrac{wL^2/8}{wL/2} = \dfrac{L}{4}\). Hence answer is \(L/4\) (option 3, index 2). Correction: index is 2.