In the given figure, plate ABCD in its undeformed configuration (solid line) is a
rhombus with all the internal angles being 90o. The lengths of the undeformed
diagonals are 20 cm. ABCD deforms as shown by the dotted lines. Upon
deformation, diagonal AC reduces to 19.96 cm and BD increases to 20.04 cm. In
the given x-y coordinate system, the engineering shear strain đžxy is equal to ____.
Options:
(A) 0
(B) 0.002
(C) 0.004
(D) -0.004
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.30)**
**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)**.
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