PhysicsFour identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and 40 cm respectively. Assuming the load distribution to be uniform, then the compressional strain of each column. Y=2×1011N/m2 

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and 40 cm respectively. Assuming the load distribution to be uniform, then the compressional strain of each column. Y=2×1011N/m2

 

  1. A

    2.8×10-16
     

  2. B

    3.8×10-6

  3. C

    1.8×10-6

  4. D

    0.8×10-6

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    Solution:

    Given,

    mass =50,000 kg, Y=2×1011Pa

    Area=πr12-πr22=π((0.4)2-(0.3)2) =0.22m2

    Since there are 4 columns, the stress needed to support the large structure will be divided among them.
    FA=Yll

    500004g0.22=2×1011×ll

    ll=500×9.84×0.22×2×1011=278409×10-11=2.78×10-6

    Hence the correct answer is 2.78×10-6.

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