A three-member truss is simply supported at $Q$ and $R$, and loaded at $P$ by a horizontal force $F$ as shown. The force in $QR$ is:
Scientific schematic diagram reproduced from official IIT paper
Options:
(A) 0
(B) $F$ (tensile)
(C) $\frac{F}{\sqrt{2}}$ (compressive)
(D) $\sqrt{2}F$ (tensile)
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Detailed Step-by-Step Solution (GATE AE 2022 Q.21)**
**1. Truss Equilibrium Analysis**:
By method of joints or static equilibrium of the truss under horizontal force $F$ at $P$, the bottom chord $QR$ carries an axial tension of magnitude $F$.
- **Official Answer Key**: **B**
