ISRO Mechanical & Aerospace 2006 - Question 21

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Topic: Strength of Materials

The bending equation is written as-

  • A. $\frac{I}{M}=\frac{f}{y}=\frac{E}{R}$
  • B. $\frac{M}{I}=\frac{f^{2}}{y}=\frac{E^{2}}{R^{2}}$
  • C. $\frac{M}{I}=\frac{f}{y}=\frac{E}{R}$
  • D. $\frac{M^{2}}{I}=\frac{f^{2}}{y}=\frac{E^{2}}{R^{2}}$

Answer: C. $\frac{M}{I}=\frac{f}{y}=\frac{E}{R}$

Explanation: The standard bending equation for beams is $\frac{M}{I} = \frac{f}{y} = \frac{E}{R}$, where M is the bending moment, I is the moment of inertia about the neutral axis, f is the bending stress, y is the distance from the neutral axis, E is Young's modulus, and R is the radius of curvature.

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