A plate with an elliptical hole in the centre, with semi-major axis (a) perpendicular to the direction of loading and semi-minor axis (b) along the direction of loading, is subjected to a pull P. The maximum stress induced at the edge of the hole is equal to (where $$\sigma $$ = Stress for a plate with no hole i.e. nominal stress)?

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  1. $$\sigma \left( {1 + \frac{{\text{b}}}{{2{\text{a}}}}} \right)$$
  2. $$\sigma \left( {1 + \frac{{2{\text{a}}}}{{\text{b}}}} \right)$$
  3. $$\sigma \left( {1 + \frac{{\text{b}}}{{3{\text{a}}}}} \right)$$
  4. $$\sigma \left( {1 + \frac{{3{\text{a}}}}{{\text{b}}}} \right)$$

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Answer: Option 2

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