A horizontal load F is applied at point R on a two-member truss, as shown in the
figure. Both the members are prismatic with cross-sectional area, A, and made of
the same material with Young's modulus E.
The horizontal displacement of point R is:
Options:
(A) 0
(B) Fl
EA
(C) √2 Fl
EA
(D) 2 Fl
EA
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.41)**
**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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