GATE AE 2014 • Q27 NAT • 1 Mark

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

For the periodic function given by { 0, 2 0 , 2) ( < < - - < <= x xx f π π with ) ( ) 2 (x fx f = +π , using Fourier series, the sum + - + - =7 1 5 1 3 11s converges to (A) 1 (B) 3 π (C) 4 π (D) 5 π

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.27)** **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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