GATE AE 2022 • Q57 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

Given: The tip deflection and tip slope for a tip loaded cantilever of length L are: ே௅య ଷாூ and ே௅మ ଶாூ, respectively, where N is the tip force and EI is the flexural rigidity. A cantilever PQ of rectangular cross-section is subjected to transverse load, F, at its mid-point. Two cases are considered as shown in the figure. In Case I, the end Q is free and in Case II, Q is simply supported. The ratio of the magnitude of the maximum bending stress at P in Case I to that in Case II is ________ (rounded off to one decimal place).

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.57)** **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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