Question Statement:
For a homogeneous, isotropic material, the relation between the shear modulus
(G), Young's modulus (E), and Poisson's ratio (𝜈) is ____.
Options:
-
(A) G = 2E(1 + 𝜈)
-
(B) 2G = E(1 + 𝜈)
-
(C) E = 2G(1 + 𝜈)
-
(D) 2E = G(1 + 𝜈)
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.26)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, 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)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test