A 1 m long rod is to be designed to support an axial tensile load P (P >> weight of
the rod). The material for the rod is to be chosen from one of the four provided in
the table. Using strength-based failure criterion for design, which material results
in the lowest weight of the rod?
Properties Material Material Material Material
Density (kg/m3) 2700 4500 7800 9000
Young's modulus (GPa) 70 115 200 130
Yield Strength (MPa) 270 900 520 540
Options:
(A) Material
(B) Material
(C) Material
(D) Material
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.37)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Structural Mechanics.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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