A 100 ft long box-shaped barge is loaded with gravel as shown below. The interior of the barge is uniformly loaded up to the deck. The combined weight of the barge's internal load and structure is 2 LTfft. Once the level of the deck is reached, the load varies linearly to a maximum load of 12 LT at amidships. 12 LT m L: 5an 4( aoft A a. Calculate the barge's displacement. b. Draw a diagram representing the barge's displacement as a distributed force. c. Calculate the barge's distributed buoyant force. Is the buoyant force uniformly distributed? Wiy or why not? d. Calculate and draw the barge's load diagram. e. At what points will the barge experience significant shear stress? f. What longitudinal bending condition will the barge experience in calm water? Sketch a section of a ship whose neutral axis is approximately 65% of the depth up from the keel. Use the elastic exure formula to answer the following questions: a. What is the magnitude of bending stress at the neutral axis? b. With the neutral axis located 55% of the depth up from the keel, which portion of this section will experience the greatest magnitude of bending stress? c. Draw a diagram showing how the magnitude of bending stress varies from the deck to the keel. Assume the ship is in a sagging condition. Using an appropriate diagram, show why significant shear stresses develop between the hull and superstructure if expansion joints are not used