SSC JE Civil Engineering 2013 Solved Paper

Question : 166 of 200

Marks: +1, -0

A concentrated load W acts at the centre of a simply supported beam of length L. If the load is changed to a uniformly distributed load over the entire span, then the ratio of maximum deflection under concentrated load will be

1.2
1.3
$1/4$
$8/5$

Validate

Solution:

According to question

∂={WL^3}/{48EI}

∂=5/384{wl^4}/{EI}=5/384{WL^3}/{EI}

The Ratio of

=\text"Maximum deflection under concentrated load"/\text"Maximum deflection under U.D.L"

={{WL^3}/{48EI}}/{5/384×{WL^3}/{EI}}

={WL^3}/{48EI}×{384EI}/{5WL^3}=8/5

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