H = height of the fluid above the surface Ρ = density of the fluid (water in this case) The hydrostatic force is the pressure exerted by a fluid on a surface due to the weight of the fluid above it. When it is completely filled with water, the hydrostatic force exerted on the base and any one of the vertical sides is different due to the difference in their areas. The specific gravity of wooden block is 0.7.A cubic tank is a three-dimensional shape with six equal square faces. Find the volume of water displaced and the position of center of buoyancy. A wooden block of width 2m, depth 1.5m and length 4m floats horizontally in water. 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. Calculate the buoyancy force per meter run and upward force on each anchorage. It is laid across the bed of a river, completely immersed in water and is anchored at intervals of 3m along its length. A steel pipeline carrying gas has an internal diameter of 120cm and an external diameter of 125cm. Solution: a) Weight of pontoon = Weight of water displaced W = 9810圆x10x2 = 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 = 9810圆x10x2.3 = 1353780N = 1353.78KN P = F B – W = 1353.78-1177.2= 176.58 KN 2. 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. A rectangular pontoon has a width of 6m, length of 10m and a draught of 2m in fresh water.
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