Theory of Structures

A simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be_____.

  • A. 2/3
  • B. 3/2
  • C. 5/8
  • D. 8/5
Answer: Option D.
Explanation: 

Def.max (A)= PL3/48EI;
Def.max (B)= 5wL4/384EI; w=P/L,
= 5PL3/384EI.
Ratio= (PL3)/48EI * 384EI/(5PL3) = 8/5.

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