Question 4950Deck General70% to pass
A jack-up with displacement of 10,000 kips has its LCG 100 feet aft of frame zero (AFO). If 200 kips are loaded at 60 feet AFO and 100 kips are discharged from 20 feet AFO, what is the new LCG?
AI Explanation
The correct answer is A) 100.0 feet.
To calculate the new LCG after the load changes, we can use the formula: (Initial LCG * Initial Displacement) + (Load 1 * Load 1 Moment) + (Load 2 * Load 2 Moment) / (Initial Displacement + Load 1 - Load 2).
Given:
- Initial displacement: 10,000 kips
- Initial LCG: 100 feet AFO
- Load 1: 200 kips at 60 feet AFO
- Load 2: 100 kips at 20 feet AFO
Plugging these values into the formula:
(100 * 10,000) + (200 * 60) + (100 * -20) / (10,000 + 200 - 100) = 1,000,000 + 12,000 - 2,000 / 10,100 = 1,010,000 / 10,100 = 100.0 feet
Therefore, the new LCG is 100.0 feet, which matches the correct answer A.
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