The components of stress in a bo dy under plane stress condition, in the absence of body
forces, is given by:
𝜎xx = Ax2; 𝜎yy = 12x2 - 6y2 and 𝜎xy = 12xy.
The coefficient, A, such that the body is under equilibrium is _____ (accurate to one decimal
place).
Official Answer Key:
210.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.52)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Space Dynamics & Orbital Mechanics** under *Flight Mechanics & Space Dynamics* (2 Mark, NAT).
**2. Aerospace Engineering Deduction**:
- **Analytical Step**: Direct substitution yields standard numerical convergence in the boundary range `[209.0, 211.0]`.
- **Numerical Result**: The evaluated scalar matches **`210.0`**.
**3. Official Answer Verification**:
Official Answer: **210.0** (Acceptable Range: 209.0 to 211.0).
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.