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= ==
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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