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A cantilever beam of length $2$ m with a square section of side length $0.1$ m is loaded vertically at the free end. The vertical displacement at the free end is $5$ mm. The beam is made of steel with young's modulus of $2.0 \times 10^{11} N/m^2$. The maximum bending stress at the fixed end of the cantilever is

  1. $20.0$ MPa
  2. $37.5$ MPa
  3. $60.0$ MPa
  4. $75.0$ MPa
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