A pontoon is to be used to transport a load across a lake. The following data are provided: Pontoon: Weight = 65,000 kg, Width = 7 m, Length = 10 m, Depth = 2.5 m Load: Weight = 55,000 kg, Height = 5 m The weights of the pontoon and the load are uniformly distributed and hence their centers of gravity are located at points mid-height from their respective bases. The load is placed on the top deck of the pontoon. Calculate: 1. The depth of immersion for the pontoon alone 2. The depth of immersion for the pontoon plus the load 3. The height of the combined center of gravity (G) measured from the pontoon base
A pontoon is to be used to transport a load across a lake. The following data are provided: Pontoon: Weight = 65,000 kg, Width = 7 m, Length = 10 m, Depth = 2.5 m Load: Weight = 55,000 kg, Height = 5 m The weights of the pontoon and the load are uniformly distributed and hence their centers of gravity are located at points mid-height from their respective bases. The load is placed on the top deck of the pontoon. Calculate: 1. The depth of immersion for the pontoon alone 2. The depth of immersion for the pontoon plus the load 3. The height of the combined center of gravity (G) measured from the pontoon base
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A pontoon is to be used to transport a load across a lake.
The following data are provided:
Pontoon: Weight = 65,000 kg, Width = 7 m, Length = 10 m, Depth = 2.5 m
Load: Weight = 55,000 kg, Height = 5 m
The weights of the pontoon and the load are uniformly distributed and hence their centers of
gravity are located at points mid-height from their respective bases.
The load is placed on the top deck of the pontoon.
Calculate:
1. The depth of immersion for the pontoon alone
2. The depth of immersion for the pontoon plus the load
3. The height of the combined center of gravity (G) measured from the pontoon base
4. The volume of the water displaced by the pontoon with the load
5. The distance between the combined center of gravity (G) and the center of buoyancy (B)
6. The second moment of area of the pontoon base (dimensions 7x10) around the long axis
7. The distance from the metacenter (M) to the center of gravity (G)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce82f3c3-fd0d-4db1-b2f0-18503ded00e7%2Fb89398a8-d073-4f83-b398-3a3c16ae9691%2Fjhlqzk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A pontoon is to be used to transport a load across a lake.
The following data are provided:
Pontoon: Weight = 65,000 kg, Width = 7 m, Length = 10 m, Depth = 2.5 m
Load: Weight = 55,000 kg, Height = 5 m
The weights of the pontoon and the load are uniformly distributed and hence their centers of
gravity are located at points mid-height from their respective bases.
The load is placed on the top deck of the pontoon.
Calculate:
1. The depth of immersion for the pontoon alone
2. The depth of immersion for the pontoon plus the load
3. The height of the combined center of gravity (G) measured from the pontoon base
4. The volume of the water displaced by the pontoon with the load
5. The distance between the combined center of gravity (G) and the center of buoyancy (B)
6. The second moment of area of the pontoon base (dimensions 7x10) around the long axis
7. The distance from the metacenter (M) to the center of gravity (G)
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