Four identical hollow cylindrical columns of mild steel support a big structure of mass 50 × 10 3 kg . The inner and outer radii of each column are 50 cm and 100 cm respectively. Assuming uniform loca

Question

Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^{3} kg .$ The inner and outer radii of each column are $50 cm$ and $100 cm$ respectively. Assuming uniform local distribution, calculate the compression strain of each column.
[use $Y = 2.0 \times 10^{11} Pa, g = 9.8 m s^{- 2}$ ]

TestHub · Accepted Answer

Δ L L = m g 4 A Y = 50 × 10 3 × 9 . 8 4 π 100 2 - 50 2 × 10 - 4 × 2 × 10 11 = 5 × 10 5 4 × π × 150 × 50 × 10 - 4 × 2 × 10 11 ΔL L = 1 12 π × 10 - 5 = 2 . 60 × 10 - 7

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