Question

A ship of length 200 m has a beam of 25 m. She floats in seawater with an even keel draught of 5 m. The prismatic coefficient of the ship is 0.9; the mass displacement is 20500 tonne and the density of seawater is 1025 kg/m3. The midship section coefficient is ________ (rounded off to two decimal places).

Hint:

For calculating the midship section coefficient, ensure to use the prismatic coefficient and displacement volume correctly in the formulas.

Answer 1

Step 1: Compute displacement volume. \[ {Displacement volume} \, V = \frac{{mass}}{{density}} = \frac{20500 \times 1000}{1025} = 20000 \, {m}^3 \] Step 2: Use prismatic coefficient formula. \[ C_p = \frac{V}{L \cdot A_m} \Rightarrow A_m = \frac{V}{L \cdot C_p} = \frac{20000}{200 \cdot 0.9} = \frac{20000}{180} = 111.11 \, {m}^2 \] Step 3: Use midship coefficient formula. \[ C_m = \frac{A_m}{B \cdot T} = \frac{111.11}{25 \cdot 5} = \frac{111.11}{125} = 0.8889 \approx 0.89 \]