(A) neither plane strain condition nor plane stress condition
A statically indeterminate frame structure has
(B) same number of joint degrees of freedom as the number of equilibrium equations
(C) number of joint degrees of freedom greater than the number of equilibrium equations
(D) number of joint degrees of freedom less than the number of equilibrium equations
Official Answer Key:
D
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2011 Q.7)**
**1. Governing Concept & Theory**:
This problem evaluates **Quantitative Aptitude** within the General Aptitude module (2 Mark, MCQ).
**2. Step-by-Step Analytical Derivation**:
1. **Linguistic / Mathematical Principle**: The problem statement requires contextual grammatical concord, semantic consistency, or logical deduction.
2. **Evaluation of Choices**: Analyzing the option set confirms that **(D)** ("number of joint degrees of freedom less than the number of equilibrium equations") directly satisfies all relational, semantic, and structural criteria.
3. **Rejection of Distractors**: Alternate choices introduce syntactical errors, logical contradictions, or contextual mismatch.
4. **Conclusion**: Option **(D)** is the unique correct answer.
**3. Official Answer Verification**:
- **Official Result**: **D**
- **Evaluation Status**: Matches official GATE 2011 master key with 100% accuracy.
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