Question
36.A truss hinged at one end, supported on rollers at the other, is subjected to the horizontals load only. It's reaction at the hinged end will be A) horizontal B) vertical C) resultant of horizontal and vertical
Ask by Johnston Pearson. in Nigeria
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The reaction at the hinged end is horizontal.
Solution
To determine the reaction at the hinged end of a truss subjected to horizontal loads only, we can analyze the conditions of equilibrium.
1. **Known Conditions:**
- The truss is hinged at one end and supported on rollers at the other.
- It is subjected to horizontal loads only.
2. **Analysis:**
- A hinge support can provide both horizontal and vertical reactions.
- A roller support can only provide a vertical reaction.
- Since the truss is subjected to horizontal loads only, the vertical forces must balance out to maintain equilibrium.
3. **Conclusion:**
- The reaction at the hinged end must counteract the horizontal load.
- Since there are no vertical loads acting on the truss, the vertical reaction at the hinge will be zero.
Thus, the reaction at the hinged end will be purely horizontal.
**Final Answer: A) horizontal**
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Simplify this solution Extra Insights
In a truss that is hinged at one end and supported on rollers at the other, the hinge can provide support in both horizontal and vertical directions. However, in this specific case where the truss is subjected to horizontal loads only, the hinge will primarily react with a horizontal force to balance the applied load. Any vertical reaction force at the hinge would be zero since there's no vertical load acting on the truss. The roller support, on the other hand, will allow vertical movement and will only provide vertical support. Thus, the correct answer focuses solely on the horizontal reaction at the hinge, confirming that it primarily provides a horizontal reaction.
