# Examples

Chapter

## Abstract

1. 1.

A oil tanker has a moulded beam of $$39.5\,\text {m}$$ with a moulded draft of $$12.75\,\text {m}$$ and a midship area of $$496\,\text {m}^2$$. Calculate the midship area coefficient $$C_m$$.

[$$C_m = 0.9849$$]

2. 2.

Find the area of the waterplane of a ship that is $$36\,\text {m}$$ long, $$6\,\text {m}$$ beam that has a fineness coefficient of 0.8.

[$$172.8\,\text {m}^2$$]

3. 3.

The following data in Table 1 relates to ships the late Victorian era. The units are in feet.

Calculate for each ship type $$\nabla , A_m, A_w$$ in SI units. You may use $$1\,\text {ft} =0.3048\,\text {m}$$.

4. 4.

A ship is $$150\,\text {m}$$ long, with a beam of $$20\,\text {m}$$ and load draft of $$8\,\text {m}$$, light draft $$3\,\text {m}$$. The block coefficient is 0.788 for load draft and 0.668 for light draft. Calculate the two different displacements.

[$$18912\,\text {m}^3$$, $$6012\,\text {m}^3$$]

5. 5.

A ship $$100\,\text {m}$$ long, $$15\,\text {m}$$ beam and a depth of $$12\,\text {m}$$ is floating at even keel with a draft of $$6\,\text {m}$$ with block coefficient of 0.800 in standard salt water of density $$1.025\,\text {t} . \text {m}^{-3}$$. Find out how much cargo has to be discharged if the ship is to float at the same draft in freshwater.

[180t]

6. 6.

A ship of $$120\,\text {m}$$ length, with a $$15\,\text {m}$$ beam, has a block coefficient of 0.700 and is floating at the load draft of $$7\,\text {m}$$ in freshwater. How much extra cargo can be loaded if the ship is to float at the same draft but in standard density sea water $$1.025\,\text {t} . \text {m}^{-3}$$

[In salt water $$9040.5\,\text {t}$$ and freshwater $$8820\,\text {t}$$]

7. 7.

A general cargo vessel with the following particulars; length between perpendiculars, $$120\,\text {m}$$, midship breadth $$20\,\text {m}$$, draft $$8\,\text {m}$$, displacement $$\varDelta$$ $$14,000\,\text {t}$$, midship area coefficient of 0.985 and waterplane area coefficient 0.808 is to lengthened by $$10\,\text {m}$$ in the midship position. Calculate the new values for $$C_b$$, $$C_w$$, $$C_p$$ and $$\varDelta$$.

[$$C_b = 0.733, C_w = 0.823, C_p = 0.744$$, $$\varDelta = 15620\,\text {t}$$]