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1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Cal... more 1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Calculate (a) weight of pontoon, (b) its draught in seawater of density 1025 kg/m 3 and (c) the load that can be supported by the pontoon in fresh water if the maximum draught permissible is 2.3m. Solution: a) Weight of pontoon = Weight of water displaced W = = 9810x6x10x2 = 1177200 N = 1177.2 KN b) Draught in sea water (D) = ? Weight of pontoon = Weight of sea water displaced 1177200 = 1177200 = D = 1.95m c) D max = 2.3m Load that can be supported in fresh water (P) = ? Total upthrust (F B) = Weight of water displaced = = 9810x6x10x2.3 = 1353780N = 1353.78KN P = F B – W = 1353.78-1177.2= 176.58 KN 2. A steel pipeline carrying gas has an internal diameter of 120cm and an external diameter of 125cm. It is laid across the bed of a river, completely immersed in water and is anchored at intervals of 3m along its length. Calculate the buoyancy force per meter run and upward force on each anchorage. Take density of steel = 7900 kg/m 3. Solution: Buoyant force per m = Weight of water displaced per m = = 12039N/m Buoyant force for 3m (F B3) = 12039x3 = 36117N Weight for 3 m of pipe (W 3) = = 22369N Upward force on each anchorage = F B3 – W 3 = 36117-22369 = 13748N 3. A wooden block of width 2m, depth 1.5m and length 4m floats horizontally in water. Find the volume of water displaced and the position of center of buoyancy. The specific gravity of wooden block is 0.7. Solution:
1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Cal... more 1. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water. Calculate (a) weight of pontoon, (b) its draught in seawater of density 1025 kg/m 3 and (c) the load that can be supported by the pontoon in fresh water if the maximum draught permissible is 2.3m. Solution: a) Weight of pontoon = Weight of water displaced W = = 9810x6x10x2 = 1177200 N = 1177.2 KN b) Draught in sea water (D) = ? Weight of pontoon = Weight of sea water displaced 1177200 = 1177200 = D = 1.95m c) D max = 2.3m Load that can be supported in fresh water (P) = ? Total upthrust (F B) = Weight of water displaced = = 9810x6x10x2.3 = 1353780N = 1353.78KN P = F B – W = 1353.78-1177.2= 176.58 KN 2. A steel pipeline carrying gas has an internal diameter of 120cm and an external diameter of 125cm. It is laid across the bed of a river, completely immersed in water and is anchored at intervals of 3m along its length. Calculate the buoyancy force per meter run and upward force on each anchorage. Take density of steel = 7900 kg/m 3. Solution: Buoyant force per m = Weight of water displaced per m = = 12039N/m Buoyant force for 3m (F B3) = 12039x3 = 36117N Weight for 3 m of pipe (W 3) = = 22369N Upward force on each anchorage = F B3 – W 3 = 36117-22369 = 13748N 3. A wooden block of width 2m, depth 1.5m and length 4m floats horizontally in water. Find the volume of water displaced and the position of center of buoyancy. The specific gravity of wooden block is 0.7. Solution: