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Mechanical Engineering QUESTION #2514
Question 1
For a beam under pure bending, the assumption that plane sections remain plane (Euler-Bernoulli hypothesis) implies that:
  • Shear strain across the section is constant
  • Normal strain varies linearly with distance from the neutral axis✔️
  • Shear stress is zero everywhere
  • Normal stress is uniform across the cross-section
Correct Answer Explanation
The Euler-Bernoulli hypothesis leads directly to a linear strain distribution: \(\varepsilon = -y/\rho\), where \(y\) is distance from the neutral axis and \(\rho\) is the radius of curvature. This produces the linear bending stress distribution \(\sigma = -My/I\).