A suspension cable spanning 100 m between supports at the same level carries 10 kN/m and has a central dip of 10 m. What are the maximum and minimum tensions in the cable____________________?
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Answer: C. 1346.3 kN and 1250 kN
Explanation
Suspension cable tension calculations for parabolic bridges yield maximum and minimum tension values. Engineering formulas accounting for span, load, and central dip evaluate tensions accurately. Maximum tension occurs at the support towers while minimum tension occurs at mid-span. Suspension bridges utilize high-strength steel cables to support heavy vehicular traffic decks. Central dip is the vertical distance between the support level and the lowest point of the cable. Cable tension varies along the span due to the combined effects of vertical and horizontal forces.
Bridge engineers calculate maximum cable tension to select appropriate steel wire rope strengths. Minimum tension values ensure the cable maintains structural stability under minimum load conditions. Accurate tension analysis is critical for ensuring the safety and longevity of suspension bridges. Option A provides incorrect maximum tension values that fail to match the engineering calculation. Option B lists an incorrect maximum tension combined with an inaccurate minimum tension. Option D lists an inaccurate maximum tension paired with a correct minimum tension value.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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