Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 × 103 kg. The inner and outer radii of each column are 50cm and 100cm respectively. Assuming uniform local distribution, calculate the compression strain of each column.
[Use Y = 2.0 × 1011 Pa, g = 9.8 m/s2]
Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 × 103 kg. The inner and outer radii of each column are 50cm and 100cm respectively. Assuming uniform local distribution, calculate the compression strain of each column.
[Use Y = 2.0 × 1011 Pa, g = 9.8 m/s2]
Option 1 -
3.60 *10-8
Option 2 -
2.60 * 10-7
Option 3 -
1.87 * 10-3
Option 4 -
7.07 * 10-4
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1 Answer
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Correct Option - 2
Detailed Solution:Load of mass will be equally distributed among the four colours so force on each columns will be 125 × 103 N.
Cross section area of the column =
Using young’s modulus :
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