GATE AE 2014 • Q39 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

There are 2 designs proposed for a shaft of length l, with a torque carrying capacity of T.Design I is a solid circular cross-section shaft of diameter30mm. Design II is a thin-walled circular shaft of average diameter 40mm. Thickness of the wall in Design II has to be determined such that maximum shear stress is the same in both the designs for the given torque T(so that same material can be used for manufacturing both the shafts). Ratio of mass of shaft using Design Ito the mass of shaft using Design II is (A) 2.68 (B) 5.36 (C) 1.79 (D) 3.58

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.39)** **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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