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This question belongs to Mechanical Engineering Machine Design

Machine Design

?

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)

A) $$\sigma \left( {1 + \frac{{\text{b}}}{{2{\text{a}}}}} \right)$$ B) $$\sigma \left( {1 + \frac{{2{\text{a}}}}{{\text{b}}}} \right)$$ C) $$\sigma \left( {1 + \frac{{\text{b}}}{{3{\text{a}}}}} \right)$$ D) $$\sigma \left( {1 + \frac{{3{\text{a}}}}{{\text{b}}}} \right)$$

Answer & Solution

Correct Answer: Option B

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Question posted by Examveda

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ASAD REHMAN 3 years ago

(1+2a/b) is theoretical concentration factor and sigma is applied stress. So the correct expression is "B"

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