The closed thin-walled rectangular channel shown in figure (i) is opened by
introducing a sharp cut at the center of the bottom edge, as shown in figure (ii).
Which one of the following statements is correct?
Options:
(A) Centroids of (i) and (ii) coincide while shear centers do not
(B) Shear centers of (i) and (ii) coincide while centroids do not
(C) Both centroids and shear centers of (i) and (ii) coincide
(D) Neither centroids nor shear centers of (i) and (ii) coincide
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.22)**
**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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