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Theory of Structures

Q1:

A simply supported beam A carries a point load at its midspan. An other 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

B

C

D

ANS:D -

Def.max (A)= PL^3/48EI;
Def.max (B)= 5wL^4/384EI; w=P/L,
= 5PL^3/384EI.

Ratio= (PL^3)/48EI * 384EI/(5PL^3) = 8/5.



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