GATE AE 2011 • Q50 NAT • 2 Marks

Aerospace Structures

Structural Mechanics

Subtopic: Thin-Walled Shells & Buckling

Question Statement:

(A) = 20° (B) > 20° and< 30° (C) = 30°  (D) > 30° The total temperature at point P is Q.51 (A) 806.37 K (B) 1128.92 K (C) 1612.74 K (D) 2257.84 K x0x L x L   P 1m M∞ 2011 AEROSPACE ENGINEERING - AE Linked Answer Questions Statement for Linked Answer Questions 52 and 53: A thin-walled (thickness << radius), hollow shaft of length 1m and mean radius, R = 5 cm has to be designed such that it can transmit a torque, T = 7 kN-m. A survey of different commercially available materials was made and following data was obtained from the suppliers ( E: Young's modulus, y: yield stress in shear, : density): Material E (GPa) y (MPa)  (kg/m3) X 200 550 7700 Y 70 225 2700 Z 110 375 4875 Which of the above materials would you choose such that weight of the shaft is minimum?

Official Answer Key:

0.0

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.50)** **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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