ISRO Mechanical & Aerospace 2008 - Question 75

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Topic: Strength of Materials

There are two bars of equal length and equal volume and same material, one having stepped diameters and others having uniform diameter. If maximum stress produced in both bars is same, then stored energy will be

  • A. More in stepped diameter shaft
  • B. More in uniform diameter shaft
  • C. Equal in both
  • D. Depend on other factors

Answer: C. Equal in both

Explanation: Stored energy E = (1/2) * Stress * Strain * Volume = (1/2) * (Stress² / Y) * Volume. Since volume, maximum stress, and Young's modulus (same material) are all the same, the stored energy will be equal in both.

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