In a simply supported beam AB of span L, the midpoint is C. In case-1, the beam is loaded by a central concentrated load W. In case-2, the beam is subjected to a U.D.L. of intensity w such that wL = W. The ratio of central deflection in case-1 to that in case-2 is

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Vikas Prajapati · Accepted Answer

According to the problem-
(Y)1=WL^3/48EI.
(Y)2=5wL^4/384EI.
But. W=wL
(Y)2=5WL^3/384EI
So
(Y)1/(Y)2=8/5

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In a simply supported beam AB of span L, the midpoint is C. In case-1, the beam is loaded by a central concentrated load W. In case-2, the beam is subjected to a U.D.L. of intensity w such that wL = W. The ratio of central deflection in case-1 to that in case-2 is

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