Estre

P á g i n a 1 | 34
Contenido
CHAPTER 1...........................................................................................................................4
INTRODUCTION................................................................................................................4
CHAPTER 2...........................................................................................................................5
OBJECTIVE........................................................................................................................5
CHAPTER 3...........................................................................................................................5
METHODOLOGY ...............................................................................................................5
CHAPTER 4...........................................................................................................................5
DISTRIBUTION STRUCTURAL..............................................................................................5
CHAPTER5............................................................................................................................7
SCANTLING.......................................................................................................................7
BOTTOM..........................................................................................................................8
SHELL PLATING 3.2.2/3.3.1 ............................................................................................8
....................................................................................................................................8
BAR KEELS 3.2.10/11 .....................................................................................................8
GIRDERS 3.2.4/5.3.1 ......................................................................................................9
TRANSVERSE 3.2.4/5.3.1................................................................................................9
LONGITUDINAL FRAMES 3,2,4/5,3,1...............................................................................9
SIDE...............................................................................................................................10
SHELL PLATING 3,2,2/3,3,1 ..........................................................................................10
SIDE WEB FRAMES 3.2.5/7,1 ........................................................................................11
SIDE STRINGERS 3.2.5/11,1..........................................................................................11
TRANSVERSE FRAMES 3.2.5/11,1 .................................................................................11
DIVING PLATFORM.........................................................................................................12
SHELL PLATING ...........................................................................................................12
BEAMS 3.2.6/1.3 .........................................................................................................13
DECK GIRDERS 3.2.6/3.3 ..............................................................................................13
DECK TRANSVERSES 3.2.6/3.3......................................................................................13
MIDSHIP.........................................................................................................................14
BOTTOM........................................................................................................................14
SHELL PLATING 3.2.2/3.3.1 ..........................................................................................14
..................................................................................................................................14
BAR KEELS 3.2.10/11 ...................................................................................................14
GIRDERS 3.2.4/5.3.1 ....................................................................................................15
TRANSVERSE 3.2.4/5.3.1..............................................................................................16

P á g i n a 2 | 34
LONGITUDINAL FRAMES 3,2,4/5,3,1.............................................................................16
SIDE...............................................................................................................................17
SHELL PLATING 3,2,2/3,3,1 ..........................................................................................17
SIDE WEB FRAMES 3.2.5/7,1 ........................................................................................17
SIDE STRINGERS 3.2.5/11,1..........................................................................................18
TRANSVERSE FRAMES 3.2.5/11,1 .................................................................................18
MAIN DECK ....................................................................................................................18
SHELL PLATING ...........................................................................................................18
BEAMS 3.2.6/1.3 .........................................................................................................19
DECK GIRDERS 3.2.6/3.3 ..............................................................................................19
DECK TRANSVERSES 3.2.6/3.3......................................................................................20
BOW..............................................................................................................................20
BAR STEMS 3.2.10/1.1.................................................................................................20
..................................................................................................................................20
PLATE STREMS 3.2.10/3.5............................................................................................20
DECK, SUPERSTRUCTURE AND DECK HOUSE.....................................................................21
UPPER DECK EXPOSED....................................................................................................21
SHELL DECK.................................................................................................................21
SHELL FRONT BULKHEADS ...........................................................................................21
SHELL END BULKHEADS ...............................................................................................21
SHELL SIDE..................................................................................................................22
GIRDERS.....................................................................................................................22
WEBS .........................................................................................................................22
LONGITUDINAL...........................................................................................................22
CHAPTER 6.........................................................................................................................23
LONGITUDINAL HULL GIRDER STRENGHT .........................................................................23
SECTION MODULUS DIRECT METHOD..............................................................................24
Wave Bending Moment Amidships...............................................................................26
Wave Shear Force. ......................................................................................................26
CHAPTER 7.........................................................................................................................26
LONGITUDINAL STRENGTH..............................................................................................26
LOADCASE..................................................................................................................28
Integration of the Load Curve to get Shear Force Curve ....................................................31
Integration of the Shear Force Curve to get Bending Moment Curve..................................31
CHAPTER 8.........................................................................................................................32
VALIDATION OF STRUCTURAL ELEMENTS BY ANSYS..........................................................32

P á g i n a 3 | 34
CONCLUSIONS....................................................................................................................34
References.........................................................................................................................34

P á g i n a 4 | 34
CHAPTER 1
INTRODUCTION
This booklet is intended to present the scantling of ship for which followed the rules of
classification “ABS RULES for STEEL VESSELS UNDER 90 METERS”
For the layout structural is has that consider the distribution structural that more goodness
notes for the ship in project; structural configuration tat you can use are as follows:
1. LONGITUDINAL
2. TRANSVERSAL
3. MIXED
The final selectionof structural distributionwill dependonthe factors that affectthe designof
the project
Figure 1 LENGTHS SHIP
MAIN DIMENSION ABS
L = 39.77 [mts] 3.1.1/3.1
B = 8.3 [mts] 3.1.1/5
D = 5.7 [mts] 3.1.1/7.1
△ = 342.3 [ton] 3.1.1/11.1
d = 2.5 [mts] 3.1.1/9
Cb = 0.556 3.1.1/11.3
s = 520 [mm]
Table 1 IMPUT DATA

P á g i n a 5 | 34
CHAPTER 2
OBJECTIVE
This booklet analyzes the structural strength of the preliminary design of a yacht. For a quick
estimate of the bending moment and shear force
CHAPTER 3
METHODOLOGY
We proceededtocalculate distributive locate eachexistingweightinthe yacht. These weights
were divided according to technological groups in order to maintain an order.
With these weights distributedin the Hydromsx software,they perform the calculation of the
shear and bending moment curves in the trocoid wave which we consider as the most critical
condition,Inadditiontothis,the minimumbendingmomentestimate wascalculatedusingthe
ABS classification and shear force, these results were compared with those given in the
aforementioned program.
CHAPTER 4
DISTRIBUTION STRUCTURAL
Factor that generally affect the design of a naval structure are as follows:
 The structural distribution must be adapted to the type of work or service of a ship
 Find the minimum weight for maximum structural strength
 The structural distribution should allow easy distribution and easy access
 Apply methods of production appropriate
 Qualified and experienced workforce
For the configuration of the yacht we use a simple bottom to reduce the structural weight
representedbythe doublebottom,becausethe regulationsinECUADORdonotrequire thatfor
these types of boats it is double bottom, on the decks and bottom the configuration is
longitudinal in the sides is transverse, for machine room it is mixed to decrease vibration
𝑠 = 470 +
𝐿 𝑟
0,6
𝑠 = 520 [𝑚𝑚]
Once we getthe spacing,we made the structural scratch the planeswere made. Thenwe show
the structural configuration plans
Figure 2 TYPE OF LINES

P á g i n a 7 | 34
ASTMA 131 steel isdesignatedfornaval specificationsandstructural constructionsof ships,this
specificationisdesignated by ASTMA 131 / A 131M - 08 in charge of specifyingthe use of this
steel fornaval constructionsandrepairs,whichcomprisestwolevelsof resistance,26whichare
influenced in the mechanical properties of hardness and elongation. In the case of materials,
thisstandardisusedforthemanufacture of sheetssuchasASTMA 131steel fornaval use,which
is produced as a medium strength structural sheet, where its major characteristics are
weldability and malleability. The mechanical properties of ASTM A 131 steel are presented
below.
GRADE
Composición química (%)
C MN≥ Si P S
ASTMA131A 0.21 2.5 × C 0.5 0.035 0.035
GRADE
mechanical characteristics
TENSILE
STRENGTH
(MPa)
PRODUCTION
FORCE
(MPa)
% ELONGATION
IN 2 MIN
in.(50mm)
AFFECTING THE TEST
TEMPERATURE
ASTMA131A 400-520 235 22 20
Table 2 DETAILS OF STEEL ASTMA131
Figure 3 MECHANICAL PROPERTIES OF THE MATERIAL
CHAPTER5
SCANTLING
For the scantlingof the resistanthull wedividedtheminthree partsthatare middle section, aft
peakand fore peaksection,forthe part of resistanthelmetandmaincoveritis steel the super
aluminum structure

P á g i n a 8 | 34
BOTTOM
SHELL PLATING 3.2.2/3.3.1
BAR KEELS 3.2.10/11
PROPORTION
Thicknessesandwidthsother thangivenaboveare acceptable,providedthesectionmoduliand
moments of inertiaaboutthe transversehorizontal axisare notlessthangivenabove,norish/t
more than 4. 5.
t
thickness of bottom shell plating, in mm (in.)
s
frame spacing, in mm (in.)
h depth, D, in m (ft), as defined in 3-1-1/7.1, but not less than 0.1L or 1.18d,
whichever is greater
d
draft for scantlings, as defined in3-1-1/9, or 0.066L, whichever is greater
l
length of vessel, in m (ft), as defined in 3-1-1/3
L
lengthof vessel, in m (ft), as defined in 3-1-1/3
depth, in mm (in.)
h
t
thickness, in mm (in.)
t = 38 [mm]
h1 = 159 [mm]
h/t= 4,18
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
t 7,39 [mm]
s= 520 [mm]
h= 5,70 [mts]
d 2,62 [mts]
l= 39,77 [mts]
t = 8,00 [mm]
𝒉 = 𝟏, 𝟒𝟔 ∗ 𝑳 + 𝟏𝟎𝟎 𝒎𝒎
𝒕 = 𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎
t 1,5 [in]
𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎
h 6,5 [in]
𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎

P á g i n a 9 | 34
GIRDERS 3.2.4/5.3.1
l= 4,72 m
h= 5,70 m
s= 2,11 m
c= 0,92
PROPORTION
DEPTH
The minimumdepthof the girderortransverse istobe notlessthan2.5 timesthe depthof the
cutouts for bottom frames, unless effective compensation for cutouts is provided
TRANSVERSE 3.2.4/5.3.1
l= 4,22 m
h= 5,70 m
s= 1,57 m
c= 0,92
SM = 1137 cm^3
LONGITUDINAL FRAMES 3,2,4/5,3,1
l= 1,57 m
h= 5,70 m
h2= 0,55 m
h3= 0,46 m
s= 0,52 m
c= 1,00 m
SM = 57 cm^3
c 0,915
h
vertical distance, in m (ft), from the center of area supported to the deck at
side
s spacing, in m (in.)
l
unsupported span, in m (ft). Where brackets are fitted in accordance with
3-1-2/5.5 and are supported by bulkheads, inner bottom or side shell, the
length, l, may be measured as permitted therein
l= 4,72 m
h= 5,70 m
s= 2,11 m
c= 0,92
SM = 1912 cm^3
c 0,915
h
side
l
C 1.00 for longitudinal frames clear of tanks, and in way of tanks
h
vertical distance, in m (ft), from the center ofarea supported to the deck at
side
l unsupported span, in m (ft). Where brackets are fitted in accordance with
[KG/M^3] KG/M^2 KG/M
SHELL 8 [mm]
7850
62,8
BAR KEELS 160X38 [mm] 477,28
GIRDER 270X140X8 [mm] 25,748
TRANSVERSE 270X8 [mm] 16,956
LONGITUDINAL
FRAME 10X8 [mm] 6,28
Table 3 DIMENSION OF ELEMENTS BOTTOM
𝑺𝑴 = 𝟕, 𝟖𝒄𝒉𝒔𝒍 𝟐
𝒉𝟐 = 𝟎, 𝟎𝟏 ∗ 𝑳 + 𝟎, 𝟏𝟓 𝒎

P á g i n a 10 | 34
Figure 4 Longitudinal Frames with Transverse Webs
Figure 5 BOTTOM STRUCTURE
SIDE
SHELL PLATING 3,2,2/3,3,1
t
s
d
draft for scantlings, as defined in 3-1-1/9, or 0.066L, whichever is greater
l
t 6,58 [mm]
s= 520 [mm]
h= 3,98 [mts]
d 2,62 [mts]
l= 39,77 [mts]
h3= 2,95 [mts]
h1= 2,50 [mts]
h2= 3,98 [mts]
d1= 2,50 [mts]
d2= 2,62 [mts]
t center = 7,00 [mm]
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]

P á g i n a 11 | 34
SIDE WEB FRAMES 3.2.5/7,1
c 0.915 aft of the forepeak
1.13 inthe forepeakof vessel 61m (200 ft) or greaterinlength.
H on frames having no tween decks above, the vertical distance, in m (ft), from the mid
length of the frame to the freeboard deck at side, but not less than 0.02L + 0.46 m
(0.02L + 1.5 ft).
H on frames having tween decks above, the vertical distance, in m (ft), from the middle
of l to the load line or 0.5l, whichever is greater, plus bh
1
/45K (bh
/150K).
1
h vertical distance, in m (ft), from the center of area supported to the deck at
side
l straight-line unsupported span, in m (ft). Where brackets are fitted in accordance with
3-1-2/5.5 and are supported by decks or inner bottoms, the length, l, may be measured
as permitted therein
SIDE STRINGERS 3.2.5/11,1
SM = 170 cm^3
TRANSVERSE FRAMES 3.2.5/11,1
l= 1,56 m
h= 5,03 m
s= 0,52 m
c= 0,92
SM = 602 cm^3
SM = 170 cm^3
h= 1,26 m
h= 1,32 m
h= 3,98 m
h= 5,03 m
l= 2,63 m
h= 5,03 m
s= 1,57 m
c= 1,13
𝒉𝟏 = 𝟎, 𝟎𝟐 ∗ 𝑳 + 𝟎, 𝟒𝟔 𝒎
𝒉𝟑 = 𝟎, 𝟔𝟐 ∗ 𝑳 + 𝟏, 𝟏𝟐𝟐 𝒎
h= 3,98 m
h1= 1,26 m
h3= 3,59 m
h4= 5,03 m
l= 1,57 m
h= 5,03 m
s= 1,56 m
c= 1,13
SM = 45 cm^3
c
H
H
h
s
l
0.915 aft of the forepeak
1.13 in the forepeak of vessel 61 m (200 ft) or greater in length.
on frames having no tween decks above, the vertical distance, in
m (ft), from the mid
length of the frame to the freeboard deck at side, but not less
vertical distance, in m (ft), from the center of area supported to
the deck at
side
spacing, in m (in.)
straight-line unsupported span, in m (ft). Where brackets are
fitted in accordance with
3-1-2/5.5 and are supported by decks or inner bottoms, the
length, l, may be measured
on frames having tween decks above, the vertical distance, in m
(ft), from the middle

P á g i n a 12 | 34
SHELL 7 [mm]
7850
47.1
SIDE WEB FRAMES 250X8 [mm] 15,7
SIDE STRINGERS 180X7 [mm] 9,91
TRANSVERSEFRAME 90X7 [mm] 5,62
Table 4 DIMENSION SIDE
DIVING PLATFORM
SHELL PLATING
t thicknessof bottomshell plating, in mm
(in.)
s
h depth, D, inm (ft), as defined in 3-1-1/7.1, but
not less than 0.1L or 1.18d,
t = 6,00 [mm]
t
s
d
l
Table 5 SIDE STRUCTURE
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
𝒉 = 𝟎, 𝟎𝟐𝟖∗ 𝑳 + 𝟏, 𝟎𝟖 𝒎 t 5,53 [mm]
s= 520 [mm]
h= 2,19 [mts]
l= 39,77 [mts]

P á g i n a 13 | 34
d draft for scantlings, as defined in 3-1-1/9,
or 0.066L, whichever is greater
l lengthof vessel, in m (ft), as definedin 3-
1-1/3
BEAMS 3.2.6/1.3
h vertical distance, in m (ft), from the frame to the freeboard deck at side, but not less
than 0.02L + 0.46 m (0.02L + 1.5 ft)
l = 1,56
h = 2,19356
s = 0,52
SM = 21,65
DECK GIRDERS 3.2.6/3.3
than 0.02L + 0.46 m (0.02L + 1.5 ft)
DECK TRANSVERSES 3.2.6/3.3
l unsupported span, in m (ft). Where brackets are fitted in
accordance with
3-1-2/5.5 and are supportedbybulkheads, inner bottom or
side shell, the
h vertical distance, inm (ft), from the frame to the freeboard
deck at side, but not less
than 0.02L + 0.46 m (0.02L + 1.5 ft)
SHELL 6 [mm]
7850
47,1
BEAMS 50X6 [mm] 3,14
DECK GIRDERS 150X150X7 [mm] 16,485
DECK TRANSVERSES 150X8 [mm] 9,42
l= 1,56 m
h= 2,19 m
s= 0,52 m
c= 1,00
𝒉 = 𝟎, 𝟎𝟐𝟖∗ 𝑳 + 𝟏, 𝟎𝟖 𝒎
SM = 21,65 cm^3
𝑺𝑴 = 𝟕, 𝟖𝒄𝒉𝒃𝒍 𝟐
l= 4,68 m
h= 2,19 m
b= 3,71 m
c= 0,60
l = 4,68
h = 2,1936
s = 3,71
SM = 834,18
SM = 834,18 cm^3
l = 2,08
h = 2,1936
s = 1,56
SM = 69,29
SM = 69,29 cm^3

P á g i n a 14 | 34
MIDSHIP
BOTTOM
SHELL PLATING 3.2.2/3.3.1
BAR KEELS 3.2.10/11
t
s
d
l
L
lengthof vessel, in m (ft), as defined in 3-1-1/3
depth, in mm (in.)
h
t
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
t 7,39 [mm]
s= 520 [mm]
h= 5,70 [mts]
d 2,62 [mts]
l= 39,77 [mts]
t = 8,00 [mm]
𝒉 = 𝟏, 𝟒𝟔 ∗ 𝑳 + 𝟏𝟎𝟎 𝒎𝒎
𝒕 = 𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎

P á g i n a 15 | 34
l
lengthof vessel, in m (ft), as definedin 3-
1-1/3
depth, in mm (in.)
h
t
t = 38 [mm]
h1 = 159 [mm]
PROPORTION
Thicknessesandwidthsotherthangivenaboveare acceptable,providedthesectionmoduliand
moments of inertiaaboutthe transversehorizontal axisare notlessthangivenabove,norish/t
more than 4. 5.
GIRDERS 3.2.4/5.3.1
l= 4,72 m
h= 5,70 m
s= 2,11 m
c= 0,92
t = 38 [mm]
h1 = 159 [mm]
h/t= 4,18
c 0,915
h
side
l
l= 6.24 m
h= 5,70 m
s= 2,11 m
c= 0,92
SM = 3342 cm^3
t 1,5 [in]
𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎
h 6,5 [in]
𝟎, 𝟔𝟐𝟓 ∗ 𝑳 + 𝟏𝟐, 𝟓 𝒎𝒎

P á g i n a 16 | 34
PROPORTION
DEPTH
The minimumdepthof the girderortransverse istobe notlessthan2.5 timesthe depthof the
cutouts for bottom frames, unless effective compensation for cutouts is provided
TRANSVERSE 3.2.4/5.3.1
l= 4,22 m
h= 5,70 m
s= 1,57 m
c= 0,92
SM = 1137 cm^3
LONGITUDINAL FRAMES 3,2,4/5,3,1
l= 1,57 m
h= 5,70 m
h2= 0,55 m
h3= 0,46 m
s= 0,52 m
c= 1,00 m
SM = 57 cm^3
Figure 6 Longitudinal Frames with Transverse Webs
Figure 7 BOTTOM STRUCTURE
c 0,915
h
side
l
C 1.00 for longitudinal frames clear of tanks, and in way of tanks
h
vertical distance, in m (ft), from the center ofarea supported to the deck at
side
SHELL 8 [mm]
7850
62,8
BAR KEELS 160X38 [mm] 477,28
GIRDER 300X150X8 [mm] 28.26
TRANSVERSE 300X8 [mm] 18,84
LONGITUDINAL
FRAME 10X8 [mm] 6,28
Table 6 DIMENSION OF ELEMENTS BOTTOM
𝒉𝟐 = 𝟎, 𝟎𝟏 ∗ 𝑳 + 𝟎, 𝟏𝟓 𝒎

P á g i n a 17 | 34
SIDE
SHELL PLATING 3,2,2/3,3,1
SIDE WEB FRAMES 3.2.5/7,1
c 0.915 aft of the forepeak
1.13 inthe forepeakof vessel 61m (200 ft) or greaterinlength.
H on frameshavingnotweendecksabove,the vertical distance, in m (ft), from the mid
length of the frame to the freeboard deck at side, but not less than 0.02L + 0.46 m
(0.02L + 1.5 ft).
H on frameshavingtweendecksabove,the vertical distance,in m (ft), from the middle
1
/45K (bh
/150K).
1
h vertical distance, in m (ft), from the center of area supported to the deck at
side
l straight-lineunsupportedspan,inm(ft).Where bracketsare fittedinaccordance with
3-1-2/5.5 and are supported by decks or inner bottoms, the length, l, may be
measured
SM = 783 cm^3
t
s
d
draft for scantlings, as defined in 3-1-1/9, or 0.066L, whichever is greater
l
t 6,58 [mm]
s= 520 [mm]
h= 3,98 [mts]
d 2,62 [mts]
l= 39,77 [mts]
h3= 2,95 [mts]
h1= 2,50 [mts]
h2= 3,98 [mts]
d1= 2,50 [mts]
d2= 2,62 [mts]
t center = 7,00 [mm]
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
h= 1,26 m
h= 1,32 m
h= 3,98 m
h= 5,03 m
l= 3,00 m
h= 5,03 m
s= 1,57 m
c= 1,13

P á g i n a 18 | 34
SIDE STRINGERS 3.2.5/11,1
SM = 170 cm^3
TRANSVERSE FRAMES 3.2.5/11,1
l= 1,56 m
h= 5,03 m
s= 0,52 m
c= 0,92
SHELL 7 [mm]
7850
54.95
SIDE WEB FRAMES 250X8 [mm] 15,7
SIDE STRINGERS 180X7 [mm] 11.304
TRANSVERSEFRAME 90X7 [mm] 5,62
Table 8 DIMENSION SIDE
MAIN DECK
SHELL PLATING
SM = 170 cm^3
t = 6,00 [mm]
𝒉𝟏 = 𝟎, 𝟎𝟐 ∗ 𝑳 + 𝟎, 𝟒𝟔 𝒎
𝒉𝟑 = 𝟎, 𝟔𝟐 ∗ 𝑳 + 𝟏, 𝟏𝟐𝟐 𝒎
h= 3,98 m
h1= 1,26 m
h3= 3,59 m
h4= 5,03 m
l= 1,57 m
h= 5,03 m
s= 1,56 m
c= 1,13
SM = 45 cm^3
c
H
H
h
s
l
0.915 aft of the forepeak
1.13 in the forepeak of vessel 61 m (200 ft) or greater in length.
on frames having no tween decks above, the vertical distance, in
m (ft), from the mid
length of the frame to the freeboard deck at side, but not less
vertical distance, in m (ft), from the center of area supported to
the deck at
side
spacing, in m (in.)
straight-line unsupported span, in m (ft). Where brackets are
fitted in accordance with
3-1-2/5.5 and are supported by decks or inner bottoms, the
length, l, may be measured
on frames having tween decks above, the vertical distance, in m
(ft), from the middle
Table 7 SIDE STRUCTURE
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
𝒉 = 𝟎, 𝟎𝟐𝟖∗ 𝑳 + 𝟏, 𝟎𝟖 𝒎 t 5,53 [mm]
s= 520 [mm]
h= 2,19 [mts]
l= 39,77 [mts]

P á g i n a 19 | 34
t thicknessof bottomshell plating, in mm
(in.)
s
h depth, D, inm (ft), as defined in 3-1-1/7.1, but
d draft for scantlings, as defined in 3-1-1/9,
l lengthof vessel, in m (ft), as definedin 3-
1-1/3
BEAMS 3.2.6/1.3
than 0.02L + 0.46 m (0.02L + 1.5 ft)
l = 1,56
h = 2,19356
s = 0,52
SM = 21,65
DECK GIRDERS 3.2.6/3.3
than 0.02L + 0.46 m (0.02L + 1.5 ft)
t
s
d
l
l= 1,56 m
h= 2,19 m
s= 0,52 m
c= 1,00
𝒉 = 𝟎, 𝟎𝟐𝟖∗ 𝑳 + 𝟏, 𝟎𝟖 𝒎
SM = 21,65 cm^3

P á g i n a 20 | 34
DECK TRANSVERSES 3.2.6/3.3
l unsupported span, in m (ft). Where brackets are fitted in
accordance with
3-1-2/5.5 and are supportedbybulkheads, inner bottom or
side shell, the
h vertical distance, inm (ft), from the frame to the freeboard
deck at side, but not less
than 0.02L + 0.46 m (0.02L + 1.5 ft)
SHELL 6 [mm]
7850
47,1
BEAMS 50X6 [mm] 3,14
DECK TRANSVERSES 150X8 [mm] 9,42
BOW
BAR STEMS 3.2.10/1.1
PLATE STREMS 3.2.10/3.5
SM = 871,41 cm^3
l length of vessel, in m (ft), as
defined in 3-1-1/3
t = 32 [mm]
w = 140 [mm]
l= 4,68 m
h= 2,19 m
b= 3,71 m
c= 0,60
l = 2,08
h = 2,1936
s = 1,56
SM = 69,29
SM = 69,29 cm^3
l = 6,24
h = 2,19356
s = 2,18
SM = 871,41
𝑡 = 0,625 ∗ 𝐿 + 6,35 𝑚𝑚
𝑤 = 1,25 ∗ 𝐿 + 90 𝑚𝑚
𝑡 =
𝒔√ 𝒉
𝟐𝟓𝟒
+ 𝟐, 𝟓 [𝒎𝒎]
s
h
d
l
depth, D, in m (ft), as defined in 3-1-1/7.1, but
draft for scantlings, as defined in 3-1-1/9,
length of vessel, in m (ft), as defined in 3-1-
1/3
]

P á g i n a 21 | 34
WEIGHT 70.65[KG/M^2]
DECK, SUPERSTRUCTURE AND DECK HOUSE
UPPER DECK EXPOSED
SHELL DECK
𝑡 = 6 [𝑚𝑚]
SHELL FRONT BULKHEADS
tsele 8,00 mm
SHELL END BULKHEADS
tsele 7,00 mm
L= 39,77
h= 0,99
s= 520,00
q= 1,81
σΥ= 130,00
t 4,55
tmin= 4,00
t= 6,00
s = 610 [mm]
h1 = 5,7 [mts]
h2 = 3,977 [mts]
h3 = 3,10 [mts]
h = 5,7 [mts]
d1 = 2,5 [mts]
d2 = 0 [mts]
d = 2,50 [mts]
L = 39,77 [mts]
t = 9,00 [mm]
𝑡 = 𝑠 ∗
√ 𝑞ℎ
272
+ 2
𝑡 = (
𝑠√ 𝑞
0,6
) (6 + 0,02 ∗ 𝐿)
𝑡 = (
𝑠√ 𝑞
0,6
) (5 + 0,02 ∗ 𝐿)

P á g i n a 22 | 34
SHELL SIDE
tsele 9,00 mm
KG/M^2
FRONT
BULKHEADS
8,00
7850
62,8
END
BULKHEADS
7,00
54,95
SIDE 9,00 70,65
GIRDERS
q 1,81
l= 1,56
b= 8,38
h 0,99
c 0,60
SM= 170,25
SM25%= 212,81
WEBS
q 1,81
l= 8,21
s 1,56
h 0,99
c 0,60
SM= 485,60
SM25%= 607,00
LONGITUDINAL
q 1,81
l= 1,56
s 0,52
h 0,99
c 0,70
SM= 6,82
SM25%= 8,52
Belowwe presentthe summaryof the structural elementsof the superstructure withthe
weightperunit length.
DECKHOUSE SIDE [KG/M^3] KG/M
GIRDER 150X100X9
2700
6,075
FRAME 50X9 1,215
WEB 110X9 2,673
BULKHEADS NO EXPOSED
GIRDER 120X70X8
2700
4,104
WEB 60X7 1,134
BULKHEADS EXPOSED
GIRDER 160X100X8
2700
5,616
WEB 80X80X8 3,456
KG/M^3 KG/M
GIRDERS 100X70X6 2,754
WEBS 100X9 2,43
LONGITUDINALS 50X6 0,81
2700
𝑡 = ( 𝐶1 + 0,045 ∗ 𝐿) ∗ √ 𝑞

P á g i n a 23 | 34
SECONDDECK
SHELL 6 [mm]
7850
47,1
BEAMS 50X10 [mm] 3,925
DECK TRANSVERSES 150X70X10 [mm] 17,27
DECKHOUSE SIDE
GIRDER 90X9
2700
2,187
FRAME 100X70X9 4,131
WEB 50X6 0,81
BULKHEADS NO EXPOSED
GIRDER 120X60X6
2700
2,916
WEB 60X7 1,134
BULKHEADS EXPOSED
GIRDER 100X50X9
2700
3,645
WEB 60X7 1,134
CHAPTER 6
LONGITUDINAL HULL GIRDER STRENGHT
Whenthe shiphull issubjectedtoexcessivelongitudinal bendingmoment,bucklingandyielding
of plates and stiffeners take place progressively and the ultimate strengthof the cross-section
isattained.The ultimate longitudinal bendingstrengthisone of the mostfundamental strength
of a ship hull girder.
Inthe sectionof ABS3.2.1the minimumrequiredvaluesof thesectionalmodulewill beobtained
in the midship section, rememberthatvalidfor all
vessels having breadths,B, which do not exceed two
times their depths, D.
Figure 8 MIDSHIP SECTION

P á g i n a 24 | 34
𝑆𝑀 = 𝐶1 𝐶2 𝐿2 𝐵( 𝐶 𝑏 + 0.7) [𝑚 − 𝑐𝑚2]
𝐶1 = 11.35 − 0.11𝐿 35 ≤ 𝐿 < 45
𝐶2 = 0.01
L = length of vessel, as defined in 3-1-1/3, in m (ft)
B = breadth of vessel, as defined in 3-1-1/5, in m (ft)
Cb = block coefficient at design draft, based on the length, L, measured on the design load
waterline. Cb is not to be taken as less than 0.60.
𝐿 = 39.77 [ 𝑚𝑡𝑠]
𝐵 = 8.3 [mts]
𝐶 𝑏 =0.556
𝑆𝑀 = 1150.12 [ 𝑚 − 𝑐𝑚2]
SECTION MODULUS DIRECT METHOD
To determine if a steel section can be curved you need to first determine its section modulus
and thensee if youhave the correctbendingequipment.Sectionmodulusisthe directmeasure
of the strength of the steel. Bending a steel section that has a larger section modulus than
another will be stronger and harder to bend. Section modulus is a geometric property for a
givencross-sectionusedinthedesignofflexuralmembers.Inthe caseforbendingasteel section
itis importanttocalculate ‘S’bytakingthe momentof inertiaof the areaof the cross sectionof
a structural member– dividedbythe distance fromthe neutral axistothe furthestpointof the
steel section.Thisiswhere the steel will bendfirst. The bendingmomentthatit takes to yield
that section equals the section modulus times the yield strength.
y [m] 4,03
Inercia [m2 cm2] 1,591 15913,90
SM deck [m cm2] 0,401 4012,82
SM bottom[mcm2] 0,789 7889,43
D [m] 8,00
[D-y] [m] 3,97
σx [N/mm2] 160,00
σx [N/m2] 1,60E+08
M max [N m] 1,26E+08

P á g i n a 25 | 34
0,208 0,839 1672,496 4,977 0,001
A [m2] Ad [m2] d^2 [m2] Ad^2 Io [m4]
i Descripcion x [m] y [m] d [m] ϴ [°] ϴ [rad] A [m2] Ad [m2] d^2 [m2] Ad^2 Io [m4]
Main Deck 4,060 0,006 3,72 0 0,000 2,4E-02 9,1E-02 13,84 3,37E-01 7,31E-08
Upper Deck 4,060 0,006 6,03 0 0,000 2,4E-02 1,5E-01 36,36 8,86E-01 7,31E-08
Sky Deck 4,060 0,006 8,320 0 0,000 2,4E-02 2,0E-01 69,22 1,69E+00 7,31E-08
Side M. Deck 0,007 3,000 2,160 90 1,571 2,1E-02 4,5E-02 4,67 9,80E-02 8,58E-08
Side U. Deck 0,009 2,310 4,875 90 1,571 2,1E-02 1,0E-01 23,77 4,94E-01 1,40E-07
Side S. Deck 0,006 2,290 7,170 90 1,571 1,4E-02 9,9E-02 51,41 7,06E-01 4,12E-08
Chine 0,250 0,009 0,700 0 0,000 2,3E-03 1,6E-03 0,49 1,10E-03 1,52E-08
Bottom 3,850 0,008 0,410 10 0,175 3,1E-02 1,3E-02 0,17 5,18E-03 1,15E-03
0,008 0,270 0,250 90 1,571 2,2E-03 5,4E-04 0,06 1,35E-04 1,15E-08
0,150 0,008 0,450 0 0,000 1,2E-03 5,4E-04 0,20 2,43E-04 6,40E-09
0,008 0,270 0,570 90 1,571 2,2E-03 1,2E-03 0,32 7,02E-04 1,15E-08
0,150 0,080 0,700 0 0,000 1,2E-02 8,4E-03 0,49 5,88E-03 6,40E-06
0,008 0,100 0,190 90 1,571 8,0E-04 1,5E-04 0,04 2,89E-05 4,27E-09
0,008 0,100 0,280 90 1,571 8,0E-04 2,2E-04 0,08 6,27E-05 4,27E-09
0,008 0,100 0,380 90 1,571 8,0E-04 3,0E-04 0,14 1,16E-04 4,27E-09
0,008 0,100 0,560 90 1,571 8,0E-04 4,5E-04 0,31 2,51E-04 4,27E-09
0,008 0,100 0,660 90 1,571 8,0E-04 5,3E-04 0,44 3,48E-04 4,27E-09
Chine Stiffener I 0,008 0,100 0,760 90 1,571 8,0E-04 6,1E-04 0,58 4,62E-04 4,27E-09
0,180 0,007 1,660 0 0,000 1,3E-03 2,1E-03 2,76 3,47E-03 5,15E-09
0,180 0,007 2,660 0 0,000 1,3E-03 3,4E-03 7,08 8,92E-03 5,15E-09
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,006 0,050 3,660 90 1,571 3,0E-04 1,1E-03 13,40 4,02E-03 9,00E-10
0,007 0,150 3,660 90 1,571 1,1E-03 3,8E-03 13,40 1,41E-02 4,29E-09
0,150 0,007 3,600 0 0,000 1,1E-03 3,8E-03 12,96 1,36E-02 4,29E-09
0,007 0,150 3,660 90 1,571 1,1E-03 3,8E-03 13,40 1,41E-02 4,29E-09
0,150 0,007 3,600 0 0,000 1,1E-03 3,8E-03 12,96 1,36E-02 4,29E-09
0,110 0,009 4,260 0 0,000 9,9E-04 4,2E-03 18,15 1,80E-02 6,68E-09
0,110 0,009 4,700 0 0,000 9,9E-04 4,7E-03 22,09 2,19E-02 6,68E-09
0,050 0,009 4,640 90 1,571 4,5E-04 2,1E-03 21,53 9,69E-03 9,38E-08
0,110 0,009 5,660 0 0,000 9,9E-04 5,6E-03 32,04 3,17E-02 6,68E-09
0,050 0,009 5,710 90 1,571 4,5E-04 2,6E-03 32,60 1,47E-02 9,38E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,050 0,006 6,100 90 1,571 3,0E-04 1,8E-03 37,21 1,12E-02 6,25E-08
0,100 0,008 6,030 90 1,571 8,0E-04 4,8E-03 36,36 2,91E-02 6,67E-07
0,008 0,100 5,980 0 0,000 8,0E-04 4,8E-03 35,76 2,86E-02 6,67E-07
0,100 0,008 6,030 90 1,571 8,0E-04 4,8E-03 36,36 2,91E-02 6,67E-07
0,008 0,100 5,980 0 0,000 8,0E-04 4,8E-03 35,76 2,86E-02 6,67E-07
Sky deck - Side -
Stiffeners I
0,100 0,009 6,450 0 0,000 9,0E-04 5,8E-03 41,60 3,74E-02 6,08E-09
0,110 0,009 6,810 0 0,000 9,9E-04 6,7E-03 46,38 4,59E-02 6,68E-09
0,009 0,050 6,780 90 1,571 4,5E-04 3,1E-03 45,97 2,07E-02 3,04E-09
0,110 0,009 8,050 0 0,000 9,9E-04 8,0E-03 64,80 6,42E-02 6,68E-09
0,009 0,050 8,010 90 1,571 4,5E-04 3,6E-03 64,16 2,89E-02 3,04E-09
0,006 0,070 8,320 90 1,571 4,2E-04 3,5E-03 69,22 2,91E-02 1,26E-09
0,006 0,070 8,320 90 1,571 4,2E-04 3,5E-03 69,22 2,91E-02 1,26E-09
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
0,006 0,050 8,350 90 1,571 3,0E-04 2,5E-03 69,72 2,09E-02 9,00E-10
Sky deck - Deck
Deck girder L
Upper Deck -Side
Upeer Deck - Deck I
Upper Deck - Girder
Sky deck - Side -
Stiffeners L
Bottom Girder L
Bottom stiffeners I
Deck Stiffeners I
Side Girder

P á g i n a 26 | 34
This analysis was carried out in order to test in the first instance if the scantillating values are
correct, so we see that the sectional module of the direct mode is greater than the norms
required,afterthischeckwe continue to obtain the values of the moments and shear forces.
Althoughthe standarddoesnotask for thisanalysistobe done for vesselslessthan61 meters,
we will perform it.
Wave Bending Moment Amidships.
𝑀 𝑤𝑠 = −𝐾1 𝐶1 𝐿2 𝐵( 𝐶 𝑏 + 0.7) 𝑋10−3 𝑆𝐴𝐺𝐺𝐼𝑁𝐺 𝑀𝑂𝑀𝐸𝑁𝑇
𝑀 𝑤ℎ = +𝐾2 𝐶1 𝐿2 𝐵( 𝐶 𝑏 + 0.7) 𝑋10−3 𝐻𝑂𝐺𝐺𝐼𝑁𝐺 𝑀𝑂𝑀𝐸𝑁𝑇
𝑀 𝑆𝑂 = 52𝐿3 𝐵( 𝐶𝑏 + 0.7) 𝑥10−3 𝑆𝑇𝐼𝐿𝐿 𝑊𝐴𝑇𝐸𝑅
𝐾1 = 110
𝐾2 = 190
𝐶1 = 0.044𝐿 + 3.75 [
𝑆𝐼
𝑀𝐾𝑆
]
𝐿 = 49.77 [𝑚𝑡𝑠]
𝐵 = 8.3 [𝑚𝑡𝑠]
𝐶 𝑏 = 0.556
𝑀 𝑤𝑠 = 9975.27 [𝐾𝑁 − 𝑚]
𝑀 𝑤ℎ = 17230.0 [𝐾𝑁 − 𝑚]
𝑀 𝑆𝑂 = 6688.36 [𝐾𝑁 − 𝑚]
Wave Shear Force.
𝐹𝑤𝑝 = 𝑘𝐹1 𝐶1 𝐿𝐵( 𝐶 𝑏 + 0.7) 𝑋10−2 𝐹𝑂𝑅 𝑃𝑂𝑆𝐼𝑇𝐼𝑉𝐸 𝑆𝐻𝐸𝐴𝑅 𝐹𝑂𝑅𝐶𝐸
𝐹𝑤𝑛 = −𝑘𝐹2 𝐶1 𝐿𝐵( 𝐶 𝑏 + 0.7) 𝑋10−3 𝐻𝑂𝐺𝐺𝐼𝑁𝐺 𝑀𝑂𝑀𝐸𝑁𝑇
𝐹𝑤𝑝 = 600 [ 𝐾𝑁]
𝐹 𝑤𝑁 = 600[ 𝐾𝑁]
CHAPTER 7
LONGITUDINAL STRENGTH
At the outset, it is useful to know the difference between global and local strength of ships.
Longitudinal strengthisalsocalledasglobal strength.Global strengthpertainstoassessingthe
strength of the entire ship when it is floating in still water or in waves. Local strength, on the
otherhand,isaboutassessingthe strengthof alocalizedstructure,likeagirderoralongitudinal
for loads experienced locally

P á g i n a 27 | 34
When talk about ship which is floatingin water. It is loaded with cargo, in this case passenger,
equipment, and its tanks are filled depending on the operational requirements (called the
loading condition,e.g., ballast departure/arrival OR fully loaded departure/arrival etc.). In the
openocean,itwill alsoexperiencewaves.Iwanttoknow whetherthe shiphasenoughstrength
to withstand this loading. What do I calculate? What do I check it against?
For the strength calculation, what is more importantis not the total load on the ship(which is
Total Weight minus Total Buoyancy, and is zero for a ship in equilibrium), but the Load
Distributionalongthe lengthof theship.Toelaborate,thismeanshow theweightandbuoyancy
are distributedalongthe ship’slength.Forexample,if the machineryof the shipis locatedaft,
then the weight distribution will show heavier weights towards aft. Similarly, if the shiphas a
fuller bow, then the forward portion of the ship carries more buoyancy, and so the buoyancy
distribution will show higher buoyancy in the fwd of the ship.
In the following tableswe show the distribution of weightsthat have been typed in MAXSURF
STABILITY.
We present the distribution of tanks, fresh
water, bilges, oil, fuel, sludge tank, saltwater,
gray water, black, ballast.
Once the distributions of all items of
deadweight have been added to the
Lightweight curve, then we will arrive at the
final Weight Distribution Curve. It may look
something like this:

P á g i n a 28 | 34
Deadweight comprisesof cargo, fuel oil, ballast,freshwater etc (i.e.,the variable loads on the
ship).To add a deadweightitem, we justfollow the procedure asdescribedinthe beginningof
thissectionbycreatingthe trapeziumandaddingitto the existingweightcurve.Inmostcases,
the loaddistributionwillbe arectangle (boththe ordinatesof thetrapeziumwillbe same),since
most deadweight items are uniformly distributed along their geometrical length.
LOADCASE
ENGINE ESTRIBOR 1 1.9 1.9 17 15 17.82 -
1.628
1.12
ENGINE BABOR 1 1.9 1.9 16.71 15 17.82 1.628 1.12
EJEbabpor 1 1.6 1.6 8.42 1.67 15.17 1.634 0.64
eje estribor 1 1.6 1.6 8.42 1.67 15.17 -
1.634
0.64
GENERADOR BABOR 1 1.64 1.64 15.67 14.18 16.74 -
3.289
1.49
GENERADOR ESTRIBOR 1 1.64 1.64 15.67 14.18 16.74 3.289 1.49
GENERADOR 500 1 1.85 1.85 18 17 20 0 1.12
GEARBOX BABOR 1 0.482 0.482 14.8 14.8 14.8 -
1.628
1.1
GEARBOX ESTRIBOR 1 0.482 0.482 14.8 14.8 14.8 1.628 1.1
HELICE 1 0.2 0.2 1.662 1.662 1.662 -
1.628
0.64
HELICE 1 0.2 0.2 1.662 1.662 1.662 1.628 0.64
Bahuer compressorbsbsor 1 0.5 0.5 7 6.44 7.6 0 0
Bauer vompressor estribor 1 0.5 0.5 7 6.44 7.6 -1.68 0
kasser 1 1 1 5 4.2 5.8 1.68 0
RUDDER BABOR 1 2.1 2.1 1 0.5 1.7 1.634 0.75
RUDDER ESTRITOR 1 2.1 2.1 1 0.5 1.7 -
1.634
0.75
SUBTOTAL 19.694 10.50
2
0.043 0.9
COCINA 1 0.148 0.148 19.17
6
19.17
6
19.17
6
-
2.821
1.63
4
FREIDORA 1 0.045 0.045 20.38
4
20.38
4
20.38
4
-
3.589
1.79
7
MESA DECOEMDOR 1 0.08 0.08 23.65
8
22.4 25 -
0.815
1.99
COOLEREDE CARNES 1 0.595 0.595 20.74
4
19 22.44 1.7 2.7
REFRI DE VEGETALES 1 0.147 0.147 20.74
4
19 22.44 2.823 2.7
CAMATRIPULA1 1 0.1 0.1 26.38
9
25 27.1 -
3.559
2.7
CAMATRIPULA2 1 0.1 0.1 26.39 25 27.1 -
2.125
2.7
CAMATRIPULA 3 1 0.1 0.1 26.39 25 27.1 -
1.095
2.7
CAMATRIPULA 4 1 0.1 0.1 26.39 25 27.1 -
0.066
2.7
CAMA DEGUIAS 1 0.1 0.1 29.95 29.2 31 -
2.283
2.7
ASIENTO DEPLATAFORMA DE
BUCEO
1 1.68 1.68 4.45 1.95 7 0 3.8
TANNQUES DENBUCEO 1 0.511 0.511 4.45 1.95 7 0 4.15
CAMA DEPASAJEROS1 1 0.1 0.1 16.88 15.6 17.8 -1.7 4.37
2
CAMA DE PASAJEROS2 1 0.1 0.1 21.22
3
20.3 22.5 -1.7 4.37
2
CAMA DEPASAJEROS3 1 0.1 0.1 25.73 25 26.5 -1.7 4.37
2
CAMA DEPASAJEROS4 1 0.1 0.1 31.28
3
30 32.6 -1.7 4.37
2
CAMA DEPASAJEROS5 1 0.1 0.1 16.88 15.6 17.8 1.7 4.37
2

P á g i n a 29 | 34
CAMA DEPASAJEROS6 1 0.1 0.1 21.22
3
20.3 22.5 1.7 4.37
2
CAMA DEPASAJEROS7 1 0.1 0.1 25.73 25 26.5 1.7 4.37
2
camade pasajero 8 1 0.1 0.1 31.28
3
30 32.6 1.7 4.37
2
YACU 1 1.7 1.7 9.35 8.07 10.68 0 9.24
CASCO 1 134 134 20.76 0 41 0 2.46
SUPERESTRUCTURA 1 39 39 19.04
1
9.14 27.27 0 6.9
Plantade tratamiento 1 3.4 3.4 12.14 9.46 12.48 -2.4 1.35
TUBERIAS SISTEMAS 1 44 44 27.6 7.546 25.67
6
0 2.36
7
Tanquesde presion 4 0.023 0.092 11.02 9.46 12.48 0 2.3
Calentador 50 l 1 0.071 0.071 10.5 9.46 12.48 0 1.8
calentador 150l 1 0.196 0.196 10 9.46 12.48 0 1.8
separador sentinas 1 0.68 0.68 10 9.46 12.48 -1 2.6
CO2 (6) 1 0.63 0.63 9.2 9.2 9.2 -3 2
CO2 (3) 1 0.315 0.315 18.6 18.6 18.6 3.5 2
agua dulce 95
%
13.34
1
12.674 13.341 12.674 11.15
7
-
0.086
1.20
7
tanque de sentinas 95
%
1.605 1.525 1.957 1.859 13.34
1
-
0.007
0.75
2
tanque de aceite 95
%
1.981 1.882 2.153 2.045 14.88
1
-
0.006
0.68
8
de lodos 95
%
0.119 0.113 0.131 0.124 17.41
2
0 0.40
5
DIESEL 95
%
25.84
6
24.553 30.769 29.23 21.10
6
-
0.069
0.79
4
AGUA SALADA 95
%
26.79
5
25.455 26.141 24.834 26.99
9
-
0.072
0.80
1
GRISES NEGRAS 95
%
7.2 6.84 7.886 7.492 31.19
6
-
1.133
0.82
7
GRISES NEGRAS 95
%
7.2 6.84 7.886 7.492 31.20
5
1.096 0.82
7
SUMINERO 30
%
62.54
6
18.764 61.02 18.306 36.03
1
-0.02 1.10
9
diesel daily 95
%
0.932 0.886 1.11 1.054 13.28
2
2.799 2.08
5
Diesel daily 95
%
0.932 0.886 1.11 1.055 13.28
2
-
2.811
2.08
5
INODORO/lavamanos 30 0.024 0.72 30 30 30 0 3.8
EQUIPAJE 27 0.03 0.81 24.35 24.35 24.35 0 3.9
EQUIPOS DENAVEGACION 1 10 10 20 0 41 0 6
PESO PARA EL ASENTAMIENTO 1 12 12 5 5 5 0 2.5
Total Loadcase 372.23
2
153.50
3
106.16
5
21.25
9
-
0.038
2.55
4
-20
-15
-10
-5
0
5
10
15
20
25
30
-5 0 5 10 15 20 25 30 35 40 45
Mass[t/m]
Buoyancy[t/m]
Position longitudinal [m]

P á g i n a 30 | 34
Once we have the Weightdistribution,thenextstepistocreate thebuoyancydistributioncurve.
The basicideais same – to plotthe loaddue to buoyancyat each pointalongthe lengthof the
ship.
The buoyancy force is determinedby the shape of the underwater hull, and it is the weight of
the water displaced by the underwater hull. With this understanding, we can see that the
buoyancydistributionissame as the volume distributionof the underwaterportionof the hull.
If the underwatervolumeisdividedintosectionsof unitlengthalongitslength,thenthe volume
of the underwaterhullisnothingbutanintegration(orsum)of the areasof thesesectionsalong
the ship’slength.Thus,the buoyancydistributionisaplotof the sectionareasof sectionsalong
the length of the underwater body of the hull.
Draft Amidships m 2.498
Displacement t 372.2
Heel deg -0.9
Draft at FPm 2.749
Draft at AP m 2.248
Draft at LCF m 2.488
Trim (+ve by stern) m -0.501
WL Length m 40.955
Beam max extents on WL m 7.886
Wetted Area m^2 399.967
Waterpl. Area m^2 297.296
Prismatic coeff. (Cp) 0.608
Block coeff. (Cb) 0.277
Max Sect. area coeff. (Cm) 0.661
Waterpl. area coeff. (Cwp) 0.921
LCB from zero pt. (+ve fwd) m 21.28
LCF from zero pt. (+ve fwd) m 19.553
KB m 1.844
KG m 4.12
BMt m 3.796
BML m 103.689
GMt m 1.52
GML m 101.412
KMt m 5.64
KML m 105.513
Immersion (TPc) tonne/cm 3.047
MTc tonne.m 9.24
RMat 1deg = GMt.Disp.sin(1) tonne.m 9.876
Max deck inclination deg 1.1324
Trim angle (+ve by stern) deg -0.7024
-800
-600
-400
-200
0
200
400
600
-5 0 5 10 15 20 25 30 35 40 45
MOMENT[tonm]
Shearforce[ton]
POSITION LONGITUDINAL [m]

P á g i n a 31 | 34
Integration of the Load Curve to get Shear Force Curve
Nowthat we have the load curve, we needtointegrate itto getthe ShearForce Curve.What is
this integration, and how is it carried out?
The Shear Force at any point along the length can be found out by adding the area under the
loadcurve up to that point.Forexample,if we wantto findoutthe ShearForce on the vessel at
a locationx =L/4 alongitslength(where Listhe total lengthof the vessel),thenwe needtoadd-
up the area under the load curve from x = 0 (aft end) to x = L/4. This process is called the
integration of load curve to obtain Shear Force, and is shown below.
The above processof findingthe shearforce isdone at differentlocations(usuallythe stations)
alongthe lengthof the vessel.Thisgivesusthe ShearForce valuesat these locations.If we plot
all these Shearforce valuesalongthelengthof the vessel,thenwe obtainthe ShearForce Curve,
which looks like the green curve in the above picture
Integration of the Shear Force Curve to get Bending Moment Curve
In a similarfashionasdone withthe loadcurve,we use the ShearForce curve toobtainthe
ordinatesof the BendingMomentatdifferentlocationsalongthe ship’slength,andplotthese
pointstoobtainthe BendingMomentCurve of the ship.It lookssomethinglike this:

P á g i n a 32 | 34
CHAPTER 8
VALIDATION OF STRUCTURAL ELEMENTS BY ANSYS
The maindeck structure ispresentedinamiddle section,the edgeswere taken,butthe tertiary
reinforcements are taken free only the secondary reinforcements and the helmet is taken as
empoted
𝑃𝑚𝑎𝑖𝑛 𝑑𝑒𝑐𝑘 = 0.02𝐿 + 0.45 [ 𝑚𝑡𝑠]
ℎ = 1.4[ 𝑚𝑡𝑠]
𝑃 = 𝑁 ∗ ℎ
𝑃 = 13.72 [
𝐾𝑁
𝑚2
]
In the first graph we show a panel of the main deck which we have as border conditions
embedded edges since the section was taken from bulkhead to bulkhead the panel we are
analyzing is the longest of the ship has a length of 6.24 meters,
It showsthe numberof elements,nodesandaverage accuracyaccordingto the mesh.A 10 mm
mesh was used for large elements and 1 mm for small items
According to ABS 3.2.12 / 9.1, the maximum deflection to reach a panel is 0.0044 times the
greater spacing, in this case you have 0.0044 * 1.56m = 0.0069m, that is to say it can be flected
up to 7mm, compared with the structure you have a deformation of 3.5 mm. Therefore,it satisfies
the deflection range.

P á g i n a 33 | 34
Inthe followinggraphwe realize the differentvaluesof the effortandwe realizethatinthe part
that we put thatis embedded,the greatesteffortisgenerated,soitwasdecidedtoanalyze the
same section with a section of the lining with the respective structural arrangements.
The valuesinthe recessededgeswiththe structural arrangementsdecreased,thatis,the hard
pointswere dissipatedwithasquare,itshouldbe rememberedthatthe creepeffortof the
steel is235 N / mm ^ 2. You have a safetyfactorof 0.64
Anotherareaanalyzedwasthe divingplatformwithanintermediatebulkheadwhich,as
expected,increasedresistance isgreaterdue tothe structural elementsthatmake themup.

P á g i n a 34 | 34
CONCLUSIONS
 When analyzing the distribution of weights and with that obtaining the values of the
bending moment we verify that its maximum value is 778,325 [ton-m], in the worst
conditionwithTROCOIDALwave and using the formulaz = M / 175 10 ^ 3 [cm ^ 3] we
obtainthatthe sectional moduleis4447.57 cm ^ 3 andthe one obtainedis7889.43 cm^
3
 Inansys the scantlingof the middlesectionof theboatwasvalidatedbymeansofAnsys,
verifying that the deformation and equivalent stress are within the allowed range.
References
A. American Bureau of Shipping, STEEL VESSELS UNDER 90 METERS (295 FEET)
IN LENGTH, 2017.
B. GUIDE FOR BUILDINGAND CLASSINGYACHTS JANUARY 2019 HULL
CONSTRUCTION AND EQUIPMENT

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