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Question

four identical hollow cylindrical columns of steel support a big structure of mass 50000kg. the inner and outer radius of each column are 30cm and 40cm respectively. assuming the load distribution to be uniform, calculate the compressional strain of each column.(The young's modulus of steel is 2.0×1011 Pa)

A
2×105
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B
2.8×106
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C
5×104
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D
8×107
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Solution

The correct option is B 2.8×106
Given, weight =50000Kg area of cylinders =π(1600900)×104Force on each cylinder =50000×104=125000 N



Now , F=YA(ΔLL)ΔLL=125000π×700×104×2×1011=2.8×106


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