The support system is under strain

4 4 identical hollow cylindrical columns of mild steel support a big structure of mass 50 000 kg \SI{50000}{\kilo\gram} . The inner and outer radii of each column are 30 cm \SI{30}{\centi\meter} and 60 cm \SI{60}{\centi\meter} respectively.

If the load distribution is uniform throughout, the total compressional strain acting on the cylindrical columns comes out to be y × 1 0 7 y \times 10^{-7} , where y y is a real number. Round off y y to the nearest integer and input it as your answer.

Details and Assumptions:

  • Young's Modulus of the mild steel \(Y_s = \SI{2.0 \times 10^{11}} { \newton \per \meter \squared}\).

  • Acceleration due to gravity g = 9.8 m s 2 g = \SI{9.8}{\meter\per\second\squared} .


The answer is 7.

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