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10.A box-shaped barge of uniform construction is 80 m long, 12 m beam and has a light displacement of 888 tonne. The barge is loaded to a draught of 7 m in sea water of density 1025 kg/ m? with cargo evenly distributed. over two end compartment of equal length. The empty midship compartment extending to the full width and depth of the barge is bilged and the draught increases to 10m.

Determine:

(a) the length of the midship compartment.

(b) the longitudinal still water bending moment at midships:

(i) in the loaded intact condition

(ii) in the new bilged condition