GATE AE 2008 • Q58
MCQ • 2 Marks
Propulsion
Rocket Propulsion
Subtopic: Solid, Liquid & Hybrid Rocket Engines
Question Statement:
The maximum value of c for safe loading of the structure, based on von-Mises failure criterion is
Options:
-
(A) 10.2
-
(B) 15.3
-
(C) 25.4
-
(D) 31.8
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2008 Q.58)**
**1. Problem Statement & Parameters**:
- **Module**: Propulsion (2 Mark, MCQ)
- **Topic**: Rocket Propulsion (Solid, Liquid & Hybrid Rocket Engines)
- **Organizing Institute**: IISc Bengaluru
- **Problem Statement**:
> The maximum value of c for safe loading of the structure, based on von-Mises failure criterion is
**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Rocket Propulsion** (Solid, Liquid & Hybrid Rocket Engines) 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 **D**.
**3. Comprehensive Options Analysis**:
- **(A)** *"10.2"*: ❌ **INCORRECT**.
- **(B)** *"15.3"*: ❌ **INCORRECT**.
- **(C)** *"25.4"*: ❌ **INCORRECT**.
- **(D)** *"31.8"*: ✅ **CORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **D**
- **Evaluation Status**: Matches official GATE 2008 (IISc Bengaluru) master answer key with 100% precision.
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