GATE AE 2014 • Q15 NAT • 1 Mark

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

The boundary conditions for a rod with circular cross-section, under torsional vibration,are changed from fixed-free to fixed-fixed. The fundamental natural frequency of the fixed-fixed rod is k times that of fixed-free rod. The value of k is (A) 1.5 (B) π (C) 2.0 (D) 0.5

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.15)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, NAT). **2. Analytical Calculation**: - Substituting aerodynamic parameters into governing Structural Mechanics equation. **3. Final Answer**: Acceptable official numerical value is **0.0**.

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