Post on 13-Apr-2015
PARA CADA ESTACION SE PUEDE PLOTEAR UNA CURVA DE BON JEAN
LAS CURVAS BON JEAN MUESTRAN LA RELACION ENTRE CALADO LOCAL Y LAS SECCIONES DE AREA TRANSVERSAL. HAY UNA CURVA BON-JEAN PARA CADA SECCION.
7 6 5 4 3 2 1 0
CALCULO DE CURVAS DE BONJEAN
A1
A2WL1
WL2
CURVAS DE BONJEAN FS-1500
0
1
2
3
4
5
6
-60 -40 -20 0 20 40 60
AREAS SECCIONES
WA
TE
R L
INE
SECCION 0
SECCION 1
SECCION 2
SECCION 3
SECCION 4
SECCION 5
SECCION 6
SECCION 7
SECCION 8
SECCION 9
SECCION 10
SECCION 11
SECCION 12
SECCION 13
SECCION 14
SECCION 15
SECCION 16
SHIP’S AXES
WATER PLANES &
SECTION AREAS
2240
x
y
z
The ship’s structure is shown oriented about the three principle axes, x, y, & zWhere:- The x-axis is the length of the ship, from which stations are measured- The y-axis is the width of the ship, from which buttocks are measured- The z-axis is the height of the ship, from which the water planes are measured
slug units
x
y
•0 1 2 3 4 5 6 7 8 9 10
Stations• Stations are measured along the x-axis
• The area described by the inscribed area is called the water plane area, or Awp
•A different water plane is created as you move up or down the z-axis, or the depth of the ship
• Half breadths, distances from centerline to the outer hull, are measured from the x-axis
Hal
f B
read
th d
ista
nce
M=?
WATERPLANE AREAS
Half-Breadths from Centerline (ft)
WATERLINE 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 3.85 8.14 10.19 11.15 11.40 11.40 11.26 11.07 10.84 10.53 10.09
18' Waterline 3.72 -
16' Waterline 3.20 7.92 10.13 11.15
14' Waterline 2.41 7.36 9.93 11.10 11.39 11.40 11.26 11.07 10.84 10.53 10.09
12' Waterline 1.58 6.26 9.20 10.70 11.19 11.32 11.21 11.02 10.76 10.45 10.02
10' Waterline 0.97 5.19 8.39 10.21 10.93 11.17 11.05 10.84 10.59 10.27 9.84
8' Waterline 0.46 4.07 7.43 9.63 10.64 10.98 10.87 10.66 10.41 10.07 9.65
6' Waterline 0.00 2.94 6.25 8.81 10.15 10.65 10.56 10.32 9.97 9.56 9.04
4' Waterline - 1.80 4.60 7.23 8.88 9.65 9.67 9.25 8.50 7.27 3.082' Waterline - 0.72 2.44 4.44 5.85 6.39 5.46 0.80
USNA YARD PATROL CRAFT TABLE OF OFFSETSSTATION
Half Breadth Plan
0.00
2.00
4.00
6.00
8.00
10.00
12.00
0 1 2 3 4 5 6 7 8 9 10
Stations (x-axis)
Y-a
xis 10 ft w aterline
8 ft w aterline
6 ft w aterline
4 ft w aterline
2 ft w aterline
The half breadth distances can be presented in tabular form, as shown here. This isfor the YP. The graph depicts the water plane areas from the 2nd thru 10th water planes.
1.99
Half Breadth Plan
0.00
2.00
4.00
6.00
8.00
10.00
12.00
0 1 2 3 4 5 6 7 8 9 10
Stations (x-axis)
Y-a
xis
2 ft w aterline
Half-Breadths from Centerline (ft)
WATERLINE 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark
18' Waterline
16' Waterline
14' Waterline
12' Waterline
10' Waterline
8' Waterline
6' Waterline
4' Waterline
2' Waterline - 0.72 2.44 4.44 5.85 6.39 5.46 0.80
USNA YARD PATROL CRAFT TABLE OF OFFSETSSTATION
And these are the y-values for the 2 ft water plane
The stations are the x-values...
The x- and y-values can be plotted, thus defining the water plane at that particular level
roll
Half Breadth Plan
0.00
2.00
4.00
6.00
8.00
10.00
12.00
0 1 2 3 4 5 6 7 8 9 10
Stations (x-axis)
Y-a
xis
4 ft w aterline
2 ft w aterline
Half-Breadths from Centerline (ft)
WATERLINE 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark
18' Waterline
16' Waterline
14' Waterline
12' Waterline
10' Waterline
8' Waterline
6' Waterline
4' Waterline - 1.80 4.60 7.23 8.88 9.65 9.67 9.25 8.50 7.27 3.082' Waterline - 0.72 2.44 4.44 5.85 6.39 5.46 0.80
USNA YARD PATROL CRAFT TABLE OF OFFSETSSTATION
The process can be repeated for the 4ft water plane,…..
Half-Breadths from Centerline (ft)
WATERLINE 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark
18' Waterline
16' Waterline
14' Waterline
12' Waterline
10' Waterline
8' Waterline
6' Waterline 0.00 2.94 6.25 8.81 10.15 10.65 10.56 10.32 9.97 9.56 9.044' Waterline - 1.80 4.60 7.23 8.88 9.65 9.67 9.25 8.50 7.27 3.082' Waterline - 0.72 2.44 4.44 5.85 6.39 5.46 0.80
USNA YARD PATROL CRAFT TABLE OF OFFSETSSTATION
Half Breadth Plan
0.00
2.00
4.00
6.00
8.00
10.00
12.00
0 1 2 3 4 5 6 7 8 9 10
Stations (x-axis)
Y-a
xis
6 ft w aterline
4 ft w aterline
2 ft w aterline
…As well as the 6 ft water plane,…
Half-Breadths from Centerline (ft)
WATERLINE 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark
18' Waterline
16' Waterline
14' Waterline
12' Waterline
10' Waterline 0.97 5.19 8.39 10.21 10.93 11.17 11.05 10.84 10.59 10.27 9.848' Waterline 0.46 4.07 7.43 9.63 10.64 10.98 10.87 10.66 10.41 10.07 9.656' Waterline 0.00 2.94 6.25 8.81 10.15 10.65 10.56 10.32 9.97 9.56 9.04
4' Waterline - 1.80 4.60 7.23 8.88 9.65 9.67 9.25 8.50 7.27 3.082' Waterline - 0.72 2.44 4.44 5.85 6.39 5.46 0.80
USNA YARD PATROL CRAFT TABLE OF OFFSETSSTATION
Half Breadth Plan
0.00
2.00
4.00
6.00
8.00
10.00
12.00
0 1 2 3 4 5 6 7 8 9 10
Stations (x-axis)
Y-a
xis 10 ft w aterline
8 ft w aterline
6 ft w aterline
4 ft w aterline
2 ft w aterline
…And every other water plane thereafter.
y
z
A different section is created at each station as you move along the x-axis, the ship’s length!
10 8 6 4 2 keel 2 4 6 8 10
Buttocks (ft)• Buttocks are measured along the y-axis
• The area described by the inscribed area is called the section or sectional area, or Asection
• Heights, distances from the baseline to the hull’s outer surface, are measured along the z-axis
Hei
ght (
ft)
Bas
elin
e
2
4
6
8
10
12
SECTION AREAS
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62 16.85 16.19 15.65 15.24 14.97 14.79 14.71 14.71 14.70
10' Buttock 14.20 9.24 5.63 4.48 4.49 5.11 6.08 7.52 11.75
8' Buttock 16.59 9.14 4.82 3.24 2.71 2.77 3.16 3.71 4.36 4.97
6' Buttock 11.51 5.65 3.00 2.07 1.88 2.10 2.55 3.10 3.69 4.30
4' Buttock 7.87 3.40 1.76 1.32 1.41 1.78 2.30 2.86 3.45 4.08
2' Buttock 13.09 4.36 1.63 0.82 0.73 1.02 1.53 2.10 2.68 3.27 3.91
Keel 6.00 0.66 0.10 0.09 0.28 0.71 1.34 1.95 2.54 3.14 3.76
STATIONHeights Above Baseline, ft (z-axis)
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 2
Sta 1
Sta 3
Sta 4
Sta 5
Sta 6
Sta 7
Sta 8
Sta 9
Sta 10
This is the height table for theYP along with the constructedsections
• Note that sections are presentedin half sections due to symmetry •Forward sections are on the right
•Aft sections are on the left
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50
10' Buttock
8' Buttock
6' Buttock
4' Buttock
2' Buttock 13.09
Keel 6.00
STATIONHeights Above Baseline, ft (z-axis)
Here is the table data for station“0”, at the forward perpendicularof the ship (FP)
• Note that it is relatively small as expected since it is at the “pointy end” of the ship
•Due to the rise of the ship at theforward end, the keel is 6ft above the ship’s deepest baseline
•Again, only half of the sectionis drawn due to symmetry
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 1
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62
10' Buttock
8' Buttock 16.59
6' Buttock 11.51
4' Buttock 7.87
2' Buttock 13.09 4.36
Keel 6.00 0.66
STATIONHeights Above Baseline, ft (z-axis)
...And here is the table data for Station 1.
• Again, the section is presentedin a half section due to symmetry
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62 16.85
10' Buttock 14.20
8' Buttock 16.59 9.14
6' Buttock 11.51 5.65
4' Buttock 7.87 3.40
2' Buttock 13.09 4.36 1.63
Keel 6.00 0.66 0.10
STATIONHeights Above Baseline, ft (z-axis)
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 2
Sta 1
...And so on for Station 2,...
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62 16.85 16.19
10' Buttock 14.20 9.24
8' Buttock 16.59 9.14 4.82
6' Buttock 11.51 5.65 3.00
4' Buttock 7.87 3.40 1.76
2' Buttock 13.09 4.36 1.63 0.82
Keel 6.00 0.66 0.10 0.09
STATIONHeights Above Baseline, ft (z-axis)
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 2
Sta 1
Sta 3
... Station 3,...
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Heights Above Baseline, ft (z-axis)
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62 16.85 16.19 15.65
10' Buttock 14.20 9.24 5.63
8' Buttock 16.59 9.14 4.82 3.24
6' Buttock 11.51 5.65 3.00 2.07
4' Buttock 7.87 3.40 1.76 1.32
2' Buttock 13.09 4.36 1.63 0.82 0.73
Keel 6.00 0.66 0.10 0.09 0.28
STATION
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 2
Sta 1
Sta 3
Sta 4
... And for Station 4,and so on.
As we approach amidships andthe ship begins to narrow aft, itmakes sense to show them on the other side of the body plan...
Section Areas
0.00
2.00
4.00
6.00
8.00
10.00
12.00
14.00
16.00
18.00
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12Buttocks (Y-axis)
Z-A
xis
Sta 0
Sta 2
Sta 1
Sta 3
Sta 4
Sta 5
Sta 6
Sta 7
Sta 8
Sta 9
Sta 10
USNA YARD PATROL CRAFT TABLE OF OFFSETS
Buttocks (y-axis) 0 1 2 3 4 5 6 7 8 9 10
Top of Bulwark 18.50 17.62 16.85 16.19 15.65 15.24 14.97 14.79 14.71 14.71 14.70
10' Buttock 14.20 9.24 5.63 4.48 4.49 5.11 6.08 7.52 11.75
8' Buttock 16.59 9.14 4.82 3.24 2.71 2.77 3.16 3.71 4.36 4.97
6' Buttock 11.51 5.65 3.00 2.07 1.88 2.10 2.55 3.10 3.69 4.30
4' Buttock 7.87 3.40 1.76 1.32 1.41 1.78 2.30 2.86 3.45 4.08
2' Buttock 13.09 4.36 1.63 0.82 0.73 1.02 1.53 2.10 2.68 3.27 3.91
Keel 6.00 0.66 0.10 0.09 0.28 0.71 1.34 1.95 2.54 3.14 3.76
STATIONHeights Above Baseline, ft (z-axis)
Finally, as the remaining stationsare plotted, the resulting bodyplan for all sections looks like this.
x
y
z
In summary, remember your axis labels and what they represent:
• x-axis represents the length of the ship. Stations are laid out on the x-axis• y-axis represents the width, or breadth of the ship. Buttocks are laid out on the y-axis• z-axis represents the height, or depth of the ship. Water planes are laid out on the z-axis
And finally, the different areas of the ship are obtained by viewing different combinations of axes:
x
y
0 1 2 3 4 5 6 7 8 9 10
Stations
Hal
f B
read
th d
ista
nce
Looking at x and y axes, or lookingDOWN into the ship…..
…you’ll see the water plane areas
y
z
Buttocks (ft)H
eigh
t (ft
)
Looking at y and z axes, or lookingat the ship from the ends…..
…you’ll see the section areas