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Question

A steel girder can bear a load of 20tons. If the thickness of girder is double, then for the same depression it can bear a load of :

A
40 ton
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B
80 ton
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C
160 ton
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D
5 ton
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Solution

The correct option is B 160 ton
Let the load on the girder be W1 and the thickness be t1.
Now, when the thickness is doubled, i.e. t2=2t1, the load on the girder is W2.
Depression δ=Wl34bt3Y
Since depression is same in both cases,
δ1=δ2
W1t31=W2t32
Hence,
W2=160N

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