92 Ship Stability for Masters and Mates Moments about the keel KB Hiil moment Hllsmo HIMRES metres otal volume 38 416 HHDCEBDT H1d1003 Summary When using Simpson's Rules for ship calculations always use the following procedure: 1. Make a sketch using the given information. 2. Insert values into a table as shown in worked examples. 3. Use tabulated summations to finally calculate requested values. Exercise 10 1 A ship's load water-plane is 60 m long. The lengths of the half-ordinates commencing from forward are as follows: 0.1, 3.5, 4.6, 5.1, 5.2, 5.1, 4.9, 4.3 and 0.1 m, respectively. Calculate the area of the water-plane, the TPC in salt water, and the pos- ition of the centre of flotation, from amidships. 2 The half-ordinates of a ship's water-plane, which is 60 m long, commen- cing from forward, are as follows: 0, 3.8, 4.3, 4.6, 4.7, 4.7, 4.5, 4.3 and 1 m, respectively. Find the area of the waterplane, the TPC, the coefficient of neness of the water-plane area, and the position of the centre of otation, from amidships. 3 The breadths at the load water-plane of a ship 90 metres long, measured at equal intervals from forward, are as follows: 0, 3.96, 8.53, 11.58, 12.19, 12.5, 11.58, 5.18, 3.44 and 0.30 m, respectively. If the load draft is 5 metres, and the block coefficient is 0.6, find the FWA and the position of the centre of otation, from amidships. 4 The areas of a ship's water-planes, commencing from the load draft of 24 metres, and taken at equal distances apart, are: 2000, 1950, 1800, 1400, 800, 400 and 100 sq. m, respectively. The lower area is that of the ship's outer bottom. Find the displacement in salt water, the Fresh Water Allowance, and the height of the centre of buoyancy above the keel. 5 The areas of vertical transverse sections of a forward hold, spaced equidis- tantly between bulkheads, are as follows: 800, 960, 1100 and 1120 sq. m, respectively. The length of the hold is 20 m. Find how many tonnes of coal (stowing at 4 cu. m per tonne) it will hold