The large platform shown in this figure carries equipment an

The large platform shown in this figure carries equipment. and to offshore installations. The total weight of the system is 450,000 lb, and its center of gravity is even with the platform 8,000 ft from the bottom. Will the platform be stable in seawater in the position shown (gamma_water = 62.4 lb/ft^2)

Solution

From the Figure above, the total weight of the platform is 450000 Lbs

The buoyant force = the weight of water displaced = weight of the platform = 450000 Lbs

Density of Sea Water given is 64 Lbs/Ft³

^{volume of water displaced is = weight of water displaced /density = 450000/64 = 7031.25} Ft³

Bottom area of the Platform = 50ft x 20 ft =1000 Sq Ft

^{The base of the platform will go into the water to the extent of 7031.25/1000 = 7.03Ft}

^{Where as the Platform base is 8ft thick. thus approximately 1Ft of base is above the water. Hence the Platform will be stable in the water.}