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Copyright 2023-24 Version saved: 03/05/2024 13:34 University of
Southampton Page 1 of 7
UNIVERSITY OF SOUTHAMPTON JEIS1001W1
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SEMESTER 2 FINAL ASSESSMENTS 2023-24
TITLE: JEIS1001 BASIC NAVAL ARCHITECTURE
DURATION: 2 Hours
Submissions must be handwritten.
Only University approved calculators may be used.
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This paper contains 4 questions
Answer ALL questions.
An outline marking scheme is shown in brackets to the right of each question.
Only University approved calculators may be used.
Standard salt water density: 1025 kg/m3
Standard fresh water density: 1000 kg/m3
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Q1.
a) Write the formulae for the following ship characteristics:
i. Block Coefficient (CB)
ii. Prismatic Coefficient (CP)
iii. Maximum sectional area coefficient (CM)
iv. Waterplane coefficient (CW)
[4 Marks]
b) A general cargo ship has a displacement of 25,625 tonnes in
standard salt water. Calculate its length, L, breadth, B and
draught T, given the following:

1 3
= 6.2, = 0.625, = 0.90,

= 4.2
[6 Marks]
c) Show, with the aid of a diagram how a GZ curve can have three
occurrences where the vessel will be in equilibrium. Indicate
whether the equilibria are stable or unstable.
[6 Marks]
d) Show, through calculation, that the free surface loss in
GMT by having a longitudinal bulkhead in a tank with
dimensions of breadth, b and length, l is 25% of the same
tank with no bulkhead.
[12 Marks]
e) A ship floating level in standard salt water has a length
between perpendiculars of 240 m, draught of 12 m, MCT
of 43921 tonne.m/m, TPM of 3400 tonnes/m and LCB at
10.2 m aft of midships. If 1000 tonnes is placed 4m
forward of midships, calculate the resulting draught at the
aft and forward perpendiculars.
[12 Marks]
[TOTAL 40 Marks]
(a) W
(b)
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Q2.
A barge with a rectangular cross section, which has a
prismatic coefficient of 1, has the following characteristics in
standard saltwater:
Particular Value
Length (m) 85.0
Breadth (m) 60.0
Draught (m) 3.5
TPC (tonnes/cm) 52.28
MCTC (tonnes.m/cm) 373.74
KG (m) 2.8
a) Calculate the metacentric height, GMT. [5 Marks]
b) The barge has a fully controlled crane with the
configuration shown in Figure 1. The height of the boom,
H, is 12.0 m above the KG of the ship and the boom length,
D is 72.0 m. The crane delivers a structure weighing
2700.0 tonnes, with its centroid located 6m above the KG
of the ship.
Figure 1

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Calculate the following:
i. Due to the lift, calculate the new value of GMT.
[5 Marks]
ii. What is the resultant heel angle with the boom swung
perpendicular to the ship’s centreline to place the
container on the quay [5 Marks]
iii. What is the new centre of gravity of the barge after
the cargo is delivered to the
quay [5 Marks]
[TOTAL 20 Marks]
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Q3.
A diver wishes to retrieve a bar of gold, with a specific gravity of
19.3, from the bottom of an estuary containing standard salt water.
The gold has a mass of 15 kg. A rope with negligible weight and
volume is attached to a spherical buoy with a mass of 1.4 kg.
a) The spherical buoy has an initial diameter of 0.214 m, what
is the reaction force on the bottom of the estuary
[6 Marks]
b) The buoy is inflated further, what diameter must the buoy
be to raise the treasure from the bottom of the estuary [6 Marks]
c) The tide starts to go out and the density of the water
decreases to 1.017 kg/m3
. What is the buoyancy deficit to
lift the gold [8 Marks]
[TOTAL 20 Marks]
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Q4.
The data provided in Table 2 is associated with a ship of length
160 m and draught 13.33 m and defines the half-breadths (HB)
and the sectional half-areas (SA)
Table 2 Ship Data
Stn HB (m) SA (m2
)
0 2.67 17.11
1 4.4 46.46
2 6.0 86.4
3 7.33 128.95
4 8.0 153.6
5 7.6 138.62
6 6.67 106.77
7 5.33 68.18
8 3.87 35.94
9 2.0 9.6
10 0.0 0.0
Using Simpson’s first rule calculate the following hydrostatics and
for each hydrostatic write out their equation in standard integral
notation.
a) The volumetric displacement (V) [4 Marks]
b) Longitudinal Centre of Flotation (LCF) [4 Marks]
c) Longitudinal Centre of Buoyancy (LCB) [4 Marks]
d) Midship section coefficient (CM) [4 Marks]
e) Transverse metacentric radius (BMT) [4 Marks]
[TOTAL 20 Marks]
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END OF PAPER