Subtopic: Thrust Equations & Specific Fuel Consumption
Question Statement:
For a statically indeterminate beam, the number of compatibility equations required equals:
Options:
(A) Degree of static indeterminacy
(B) Number of supports
(C) Number of reactions
(D) Zero
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.54)**
**1. Problem Statement & Parameters**:
- **Module**: Propulsion (2 Mark, MCQ)
- **Topic**: Thermodynamic Cycles of Gas Turbines (Thrust Equations & Specific Fuel Consumption)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
>
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Thermodynamic Cycles of Gas Turbines** (Thrust Equations & Specific Fuel Consumption) under *Propulsion*. 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)** *"a linear function of "*: ❌ **INCORRECT**.
- **(B)** *"a quadratic function of
Given that dy y C
b
b
L
2
2
, the corresponding lift curve-slope
LC is"*: ✅ **CORRECT**.
- **(C)** *"independent of "*: ❌ **INCORRECT**.
- **(D)** *"a linear function of "*: ❌ **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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