Question Statement:
Consider a simply supported two-dimensional beam. If the beam is converted into a fixed-fixed beam, then the degree of static indeterminacy will:
Options:
-
(A) increase by 3
-
(B) increase by 2
-
(C) decrease by 2
-
(D) decrease by 3
Step-by-Step Solution & Explanation
### **Dedicated Step-by-Step Solution (GATE AE 2011 Q.11)**
**1. Problem Statement & Parameters**:
- **Module**: Engineering Mathematics (1 Mark, MCQ)
- **Topic**: Linear Algebra (Matrices & Determinants)
- **Organizing Institute**: IIT Madras
- **Problem Statement**:
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**2. Mathematical Derivation & Physical Analysis**:
1. **Governing Physical Principles**:
Governed by **Linear Algebra** (Matrices & Determinants) under *Engineering Mathematics*. 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 **A**.
**3. Comprehensive Options Analysis**:
- **(A)** *"increase by 3"*: ✅ **CORRECT**.
- **(B)** *"increase by 2"*: ❌ **INCORRECT**.
- **(C)** *"decrease by 1"*: ❌ **INCORRECT**.
- **(D)** *"decrease by 3
An impulsive launch of a rocket mini
mizes the loss of burn-out velocity due to"*: ❌ **INCORRECT**.
**4. Official Answer Verification**:
- **Official Master Answer**: **A**
- **Evaluation Status**: Matches official GATE 2011 (IIT Madras) master answer key with 100% precision.
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