GATE AE 2022 • Q40 MCQ • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

Consider a conventional subsonic fixed-wing airplane. e is the Oswald efficiency factor and AR is the aspect ratio. Corresponding to the minimum ൬ ஼ವ ஼ಽ య మ⁄ ൰, which of the following relations is true?

Options:

  • (A) C஽ C௅ ଶ = 1 𝜋eAR
  • (B) C஽ C௅ ଶ = 4 3𝜋eAR
  • (C) C஽ C௅ = 1 𝜋eAR
  • (D) C஽ ඥC௅ = 1 √𝜋eAR

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.40)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Structural Mechanics. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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