Q5. A box barge of 88 m length, 12 m breadth and 6 m depth has a hull mass of 600 tonne evenly distributed throughout its length.
Bulkheads located 4 m from the barge ends, form peak tanks which may be used for ballast.
The remainder of the barge length is divided by 4 transverse bulkheads into 5 holds of equal length.
The holds are full of bulk cargo having a stowage rate 1.6 m3/tonne.
The peak tanks are empty.
(a) Calculate the midship bending moment during discharge when both end holds are half empty. (8)
(b) The midship bending moment is to be restricted to a maximum of 50 MNm (Sagging) during unloading.
Calculate the minimum depth of sea water ballast of density 1025 kg/m3, which must be added to the peak tanks to allow complete discharge of the end holds. (8)
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