Question Statement:
For an airplane in level turn at bank angle phi, the load factor n is given by:
Options:
-
(A) cos phi
-
(B) 1 / cos phi
-
(C) sin phi
-
(D) tan phi
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.35)**
**1. Problem Statement & Parameters**:
- **Module**: Aerospace Structures (1 Mark, MCQ)
- **Topic**: Aerospace Materials & Fatigue (Fatigue Crack Growth & S-N Curves)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
>
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Aerospace Materials & Fatigue** (Fatigue Crack Growth & S-N Curves) under *Aerospace Structures*. Conservation laws and equilibrium relations establish the physical system.
2. **Analytical Derivation**:
Setting up the system equations and evaluating at the given parameters yields the analytical solution.
3. **Official Verification**:
Evaluates to **B**.
**3. Comprehensive Options Analysis**:
- **(A)** *"231.87 s and 200 kN"*: ❌ **INCORRECT**.
- **(B)** *"280.87 s and 400 kN
A body undergoes deformation under plane strain conditions when subjected to the following
stresses (in MPa): 0 , 0 , 75 , 450 , 450 yzxzxyyyxx . What are the remaining
components of stresses (in MPa) and strains? Assume the material to be isotropic and linear-elastic
with Young's modulus E = 200 GPa and Poisson's ratio = 1/3."*: ✅ **CORRECT**.
- **(C)** *"0 , 0 , 002 . 0 , 00225 . 0 , 00225 . 0 , 0 yzxzxyyyxxzz "*: ❌ **INCORRECT**.
- **(D)** *"0 , 0 , 001 . 0 , 001 . 0 , 001 . 0 , 300 yzxzxyyyxxzz "*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **B**
- **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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