A simply supported horizontal beam is subjected to a distributed transverse load
varying linearly from q0 at A to zero at B, as shown in the figure. Which one of
the following options is correct?
Options:
(A) The magnitude of the vertical reaction force at A is larger than that at B.
(B) The magnitude of the vertical reaction force at B is larger than that at A.
(C) The magnitudes of the vertical reaction forces at A and B are equal.
(D) The reactions at points A and B are indeterminate.
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.27)**
**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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