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- Master & Chief Mate (Oceans or Near Coastal (Unlimited Tonnage)) »
- Q104 - Deck Safety: Stability Problems
352. Your vessel displaces 869 tons and measures 136'L x33'B. You ship a large wave on the after deck which measures 52'Lx 33'B. The weight of the water is estimated at 52.8 tons. What is the reduction in GM due to free surface before the water drains overboard?
The reduction in GM due to free surface is calculated using the total displacement (vessel plus shipped water) and the formula FSC = I / (35 * Δ), where I is the second moment of area of the free surface (LB3 / 12) and Δ is the total displacement in tons; applying this to the given values yields a reduction of 4.83 feet.
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