A structural member of rectangular cross-section 10mm× 6mm and length 1m is made of steel
(Young's modulus is 200GPa and coefficient of thermal expansion is 12 × 10-6 / CCoo ). It is rigidly
fixed at both the ends and then subjected to a gradual increase in temperature. Ignoring the three
dimensional effects, the structural member will buckle if the temperature is increased by ∆TT CCoo
which is
(A) 19.74 (B) 9.87 (C) 78.96 (D) 39.48
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2014 Q.40)**
**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**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.