Paper Boat

International Contest
The Paper Boat

Construction of a Paper Boat with Maximum Deadweight Capacity
Deadline: April 5th 2013

st
1 Prize: 500 !
For a new World Record 500 extra !

Only 5 very simple conditions have to be fulfilled:
Mass of empty boat

Ratio length to breadth
Midship section coefficient
Waterplane area coefficient
Waterplane half angle of entrance
mLS
L/B
cM
cWL
10 g
2
0,95
0,85
30
What else should be observed:

Boats should be built completely out of paper, any type of glue may be used.
Boats should not any air chamber
The design should allow for an even loading, otherwise precise loading instructions should
be supplied.
Shipbuilders are ask to christen their boat and to label it properly.
Everyone can take part in the contest: children, students, adults, either on its own or in
teams!
Up to two boats can be sent in by each individual shipbuilder or team.
How is the maximum deadweight capacity determined?
All boats will first be weighted by the jury, then thoroughly water proofed with a special
coating (spray) and finally loaded with small lead pellets (of about 4 mm in diameter) until
they sink or collapse.
Prizes will be awarded in the following categories:
Main prize: maximum deadweight capacity while observing all conditions!
Best ratio of deadweight to mass of empty boat
Most accurate prediction of maximum deadweight
Innovative design, best construction, most interesting documentation
Day and place of contest
th
25 April 2013
Foyer Large Lecture Hall Albert-Einstein-Str. 2
18051 Rostock, Germany
Answers to further questions can be found here:
Boats are to be send to:

University of Rostock
Lehrstuhl Schiffbau
Albert-Einstein-Str. 2
18059 Rostock, Germany
where they should arrive before April 5th!
www.paperboat.de
Why should the 5 simple conditions have to be fulfilled?

The boats should be lightweight
mLS
10 g
The boats should be longer than wide

The boats should look like a boat, not a cuboid
L/B
cM
2
0,95
cWL
0,85
30
The boats should have a nicely shaped bow
What is the Midship section coefficient cM?

Naval Architects use the value of the Midship section coefficient as
one measure to express the slenderness of the ship's hull form.
If a ship's hull is cut into two pieces by a vertical cut in the middle of
the ship's length (like in the middle of a loaf of bread), a cross
section is generated which is bounded by the hull form
and the draft of the ship: the midship section area AM.
The value of this midship section area AM is divided
by the draft T multiplied by the breadth B of the ship.
Only for a cuboid (like a shoe box) this quotient equals 1, for
beautiful, slender ships this quotient always equals less than 1.
AM
CM = B T
br e
ad
th
Midship section area
AM
draft T
What is the Waterplane are coefficient cWL?

Here the same holds as for the midship section coefficient
except the hull is cut horizontally at the draft of the ship
(like a baguette cut into two halves to prepare a sub).
The value of the resulting waterplane area AWL is divided
by the length L multiplied by the breadth B of the ship.
Only for a cuboid this quotient equals 1, for beautiful,
slender ships this quotient always equals less than 1.
AWL
CWL = B L
br
What is the Waterplane half angle of entrance ?
AW
h
dt
ea
B
t er
Wa
L
gt h
n
e
l
r ea
ea
n
pl a
Waterplane,
half angle of entrance
The Waterplane half angle of entrance is used as a

measure for the sharpness of a ship's hull form in the
bow region.
The angle is measured between the waterline contour at
the draft T (neglecting the local shape of the stem) with
reference to the centerplane of the ship.
For a cuboid this angle is 90 but for beautiful, slender
ships this angle is always far less than 90.
How to calculate the deadweight capacity DW ?

Archimedes of Syracuse (287 BC 212 BC) has discovered
that the mass of a freely floating object equals the mass of
its displaced volume Archimedes' Principle !
Based on this physical law, the deadweight capacity DW
can easily be calculated.
Answers to further questions can be found here:
= [t]
= mLS + DW [t]
DW
= - mLS = mLS [t]
mLS
total mass of boat

mass of empty boat
DW
displaced fluid (water) volume [m]

density of fluid (fresh water: 1.0 [t/m])
mass of load = deadweight capacity
www.paperboat.de

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International Contest

The Paper Boat

Deadline: April 5th 2013

For a new World Record 500 extra !

Mass of empty boat

What else should be observed:

Boats are to be send to:

Why should the 5 simple conditions have to be fulfilled?

The boats should be longer than wide

The boats should have a nicely shaped bow

What is the Midship section coefficient cM?

Midship section area

What is the Waterplane are coefficient cWL?

What is the Waterplane half angle of entrance ?

The Waterplane half angle of entrance is used as a

How to calculate the deadweight capacity DW ?

Answers to further questions can be found here:

= - mLS = mLS [t]

total mass of boat

displaced fluid (water) volume [m]

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