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Mechanical Engineering QUESTION #2496
Question 1
The flexure (bending stress) formula for a beam subjected to bending moment \(M\) gives stress \(\sigma\) at distance \(y\) from the neutral axis as:
  • \(\sigma = \frac{My}{I}\)✔️
  • \(\sigma = \frac{MI}{y}\)
  • \(\sigma = \frac{M}{yI}\)
  • \(\sigma = \frac{y}{MI}\)
Correct Answer Explanation
Derived from pure bending theory (Euler-Bernoulli beam), \(\sigma = -My/I\). Maximum bending stress occurs at \(y = c\) (outermost fiber): \(\sigma_{max} = Mc/I = M/Z\), where \(Z = I/c\) is the section modulus.