Ships Bulkhead Problem: A bulkhead on a ship is a vertical wall that separates two

Chapter 11, Problem 3

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Ships Bulkhead Problem: A bulkhead on a ship is a vertical wall that separates two compartments. Bulkheads are often designed so that they will withstand the water pressure if the compartment on one side of it gets flooded. Suppose that you are hired to build a bulkhead that goes all the way across a ship (Figure 11-5c). The bulkhead is to be 40 ft wide at the top and 32 ft from bottom to top. The cross section of the ship where the bulkhead will go is in the shape of the quartic ellipse where y is the vertical displacement, in feet, from the bottom of the ship to the samplepoint and x is the horizontal displacement,also in feet, from the center line of the ship tothe sample point. igure 11-5ca. Find the area of the bulkhead.b. Find the force that you must design thebulkhead to withstand from water pressureif the compartment on one side is filled to32 ft with seawater of density 67 lb/ft3.c. You also must design the bulkhead towithstand the torque caused by this force.Find the torque with respect to the x-axis,taking into account that different parts ofthe force act at different displacementsfrom the axis.d. Find the center of pressure at which thetotal force could be concentrated to producethe same torque.e. Find the centroid of the bulkhead. Is thecenter of pressure located at the centroid?f. When the ship is floating, the water outsideis expected to come up to y = 16 ft.Assuming that the ship has a uniform crosssection, the center of buoyancy of the ship islocated at the centroid of the part of thebulkhead that lies below the water line. Findthe center of buoyancy. (The center of massof the ship must be below the center ofbuoyancy, or the ship will capsize. Shipsoften carry ballast, consisting of rock, metalscrap, lead, and so on, at the bottom forthe specific purpose of lowering the centerof mass.)