Consider a unit square body as shown in the figure below. The body is subjected
to the deformation field u = -ay and v = ax, where 'a' is a constant. Due to the
application of this deformation field, the body undergoes _______ in the x-y plane.
Options:
(A) biaxial deformation
(B) pure shear
(C) pure bending
(D) rigid body rotation
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2026 Q.40)**
**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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