GATE XE (Engineering Sciences) 2014 - Question 59

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Section: Solid Mechanics | Marks: 2

A tapered rod has diameter d1 at one end which reduces uniformly to a diameter d2 over the length (L). If the modulus of elasticity of the material is E, the change in the length of the rod due to the application of axial force (P) is

  • A. 4𝑃𝑃𝑃𝑃 πœ‹πœ‹πœ‹πœ‹π‘‘π‘‘1𝑑𝑑2
  • B. 4𝑃𝑃𝑃𝑃 πœ‹πœ‹πœ‹πœ‹ΰ΅«π‘‘π‘‘12βˆ’π‘‘π‘‘22ΰ΅―
  • C. 𝑃𝑃𝑃𝑃 πœ‹πœ‹πœ‹πœ‹π‘‘π‘‘1𝑑𝑑2
  • D. 2𝑃𝑃𝑃𝑃 πœ‹πœ‹πœ‹πœ‹ΰ΅«π‘‘π‘‘12βˆ’π‘‘π‘‘22ΰ΅―

Answer: A. 4𝑃𝑃𝑃𝑃 πœ‹πœ‹πœ‹πœ‹π‘‘π‘‘1𝑑𝑑2

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