Difficulty: Easy
Correct Answer: True
Explanation:
Introduction / Context:
Bridge trusses are typically supported by a hinge (pin) at one end and a roller at the other. This classical arrangement appears in steel, concrete, and composite bridges because it guarantees stability while accommodating temperature changes, shrinkage, and support settlements.
Given Data / Assumptions:
Concept / Approach:
For a determinate and stable support system, the structure needs just enough reactions to prevent rigid-body motion without over-restraining it. The hinge–roller pair supplies three reaction components in total (two at the hinge, one at the roller). This prevents sway and uplift while permitting expansion/contraction.
Step-by-Step Solution:
Verification / Alternative check:
If both ends were fixed against longitudinal movement, temperature rise would induce large axial forces. Conversely, two rollers would not prevent lateral instability. The hinge–roller combination is the balanced solution.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing “stability” with “full fixity.” Stability means no rigid-body motion; it does not require restraining all degrees of freedom.
Final Answer:
True
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