GATE AE 2025 • Q45 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

î and ĵ denote unit vectors in the x and y directions, respectively. The outward flux of the two-dimensional vector field v⃗ = xî + yĵ over the unit circle centered at the origin is ______ (rounded off to two decimal places).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.45)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, 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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