GATE AE 2012 • Q44 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

The Airy stress function, 22x xy yφ αβγ=++ for a thin square panel of size ll× automatically satisfies compatibility. If the panel is subjected to uniform tensile stress, oσ on all four edges, the traction boundary conditions are satisfied by (A) /2 ; 0 ; /2 .ooα σβγ σ== = (B) ;0 ; .ooα σβ γσ= == (C) 0; / 4; 0.oα βσ γ== = (D) 0; / 2; 0.oα βσ γ= ==

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.44)** **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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