brazilian navy...at 06:35 the boat "cavalo marinho i" passed by the lighthouse of mar...
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BRAZILIAN NAVY Directorate of Ports and Coasts
WATERWAY TRAFFIC SAFETY SUPERINTENDENCY
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Report
BRAZILIAN NAVY
DIRECTORATE OF PORTS AND COASTS
WATERWAY TRAFFIC SAFETY SUPERINTENDENCY
DEPARTMENT OF INQUIRIES AND INVESTIGATIONS OF NAVIGATION ACCIDENTS
SINKING OF THE VESSEL "CAVALO MARINHO I"
AUGUST 24, 2017
MARITIME SAFETY INVESTIGATION REPORT
Photo 1: Obtained by Safety Investigators at the start of the investigation. The vessel was stranded on corals after the accident.
Reference: Casualty Investigation Code, of the International Maritime Organization (IMO) –
MSC-MEPC.3 / Circ.2 13 June 2008 / Resolution MSC.255 (84)
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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INDEX
I- LIST OF ABREVIATIONS ................................................................................................. 3
II- INTRODUCTION................................................................................................................ 4
III- SYNOPSIS ....................................................................................................................... 4
IV- GENERAL INFORMATION .............................................................................................. 5
A) Characteristics of the vessel....................................................................................... 5
B) Documents of the vessel “CAVALO MARINHO I”" ................................................... 5
V- ACCIDENT LOCAL DATA ……….......................................................................................7
VI- HUMAN FACTORS AND CREW .................................................................................. 12
VII- CHRONOLOGICAL SEQUENCE OF EVENTS .............................................................12
VIII- PROCEDURES AFTER THE ACCIDENT .................................................................. 13
IX- CONSEQUENCES OF THE ACCIDENT ........................................................................14
X- EXPERT EXAMINATIONS................................................................................... .......... 14
XI- ANALYSIS AND CAUSAL FACTORS ................................. …..................................... 19
XII - PRELIMINARY LESSONS LEARNED AND CONCLUSION ....................................... 28
XIII - SAFETY RECOMMENDATIONS................................................................................ 29
XIV- ANNEX ………………….………………………………………………………………........31
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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I - LIST OF ABBREVIATIONS - BTS - Bay of Todos os Santos - (Bahia) - Postal Code - Postal Address - CIR - Registration Booklet - CNA - National Certificate of Tonnage - CPBA - Captaincy of the Ports of Bahia - (Salvador-Bahia) - CPF - Register of Individuals - CREA-BA - Regional Council of Engineering and Architecture - Bahia - CSN - Navigation Safety Certificate - CTS – Minimum Safe Manning - IAFN - Administrative Inquiry on Accidents and Facts of Navigation - IML - Institute of Legal Medicine - ISAIM - Safety Investigation of Marine Accidents and Incidents - LAEP - Support Boat for Teaching and Research - MB - Brazilian Navy - MCP - Main Combustion Engine - MWM - Motoren Werke Mannheim - NORMAM - Standards of the Maritime Authority - IMO - International Maritime Organization - TIE - Vessel Registration Title
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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II – INTRODUCTION
For the purpose of accomplishing the collection and the analysis of evidences, the identification
of the causal factors and the elaboration of the recommendations of safety that are necessary, in
order to avoid that in the future occur similar maritime accidents and/or incidents, the Ports Captaincy
of Bahia (CPBA) carried out the present Safety Investigation of Marine Accidents and Incidents
(ISAIM) in compliance with that laid down in the Casualty Investigation Code of the International
Maritime Organization (IMO), adopted by Resolution MSC.255(84).
This Final Report is a technical document that reflects the result obtained by the DPC in relation
to the circumstances that contributed or may have contributed to unleash the occurrence and does
not resort to any procedures of proof for verification of civil or criminal responsibility.
Furthermore, it should be emphasized the importance of protecting the persons responsible for
the supplying of information related to the occurrence of the accident, for the use of information
included in this report for ends other than the prevention of future similar accidents may lead to
erroneous interpretations and conclusions.
III - SYNOPSIS
On August 24, 2017, the boat "CAVALO MARINHO I", year of construction 1973, Gross
Tonnage 76, breath 5 m, draft 1.06 m, "sloop" type boat, built exclusively in wood and
authorized to navigate Navigation Interior Area 1, with capacity to carry 160 passengers and
4 crew members and certified by CPBA, had departed at 06:30 am from the Mar Grande
Maritime Terminal, in the municipality of Vera Cruz - BA, located on the Island of Itaparica, to
cross from the Mar Grande Terminal to Salvador, Bahia. The accident occurred around
06h44, about 200 meters from the Maritime Terminal of the municipality of Vera Cruz, in the
Bay of Todos Santos (BTS), demarcated by the point of coordinates LAT 12º57'33.0 "S and
LONG 038º35'36.7" W photo 3). According to the interviews of witnesses, at 06:30 the
vessel suspended from the Mar Grande Terminal with 116 passengers on board and 4 crew.
At 06:35 the boat "Cavalo Marinho I" passed by the lighthouse of Mar Grande. The
commander of the boat accelerated the machines and traced the route 060º in order to
compensate the ebb tide. At that time the weather was rainy and gusts of South wind.
Passengers accumulate to Port on the main deck. Between 0640 and 0645 the first wave
impact occurs on the fin of Starboard. The boat was aderned for Port, and before it could get
up, it was hit by another strong wave by Starboard, causing the boat to capsize, leading to
death 19 passengers aboard the vessel "Cavalo Marinho I"
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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It is worth noting two factors: the absence of a history of fatal accidents in the last 60 years
of the crossing, and the atypical winter and the harsh climatic conditions of the winter of
2017, in the Bay of All Saints.
IV - GENERAL INFORMATION
A) Characteristics of the vessel:
Name: "CAVALO MARINHO I"
Registration number: 281-018236-1
Type: Boat
Activity / Service: Passenger Transport
Country and port of registration Brazil / Salvador-BA
Hull Material: Wood
Call sign: PP7782
Total length: 18,64m
Gross Tonnage: 17.03 tons
Breath: 5 m
Depth: 1,45 m
Gross tonnage: 76
Net tonnage: 39
Draft: 1,06 m
Total propulsion: 216,3 Kw
- MCP: MWM (propulsion)
- Fuel: Diesel
- Brazilian flag,
- Crew: driver and commander of the "CAVALO MARINHO I", Deck Sailor, Deck Deck Sailor;
Machine Oiler and Auxiliary Machine Oiler.
- Owner / Owner and Operator Data:
- Operator - CL Maritime Transportation - Rua Joaquim de Brito, 61, VeraCruz - BA, CEP:
44470-000.
B)Documents of the vessel "CAVALO MARINHO I":
- Classification and Classification Society - Unclassified Vessel
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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- Insurance - The vessel was not insured.
- Certification of the vessel involved in the accident - within validity.
- Title of Boat Registration (TIE) issued by the CPBA on 04/20/2016 and valid until
04/20/2021;
- Descriptive memorial;
Plan of General Arrangement / Security / Capacity;
Definitive Stability Study issued by naval engineer;
Photo 2: Vessel before the accident. Photo provided by the owner.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Inclination Proof Report of 12/28/2011;
Navigation Safety Certificate - 281CSN00013 / 2016 of April 18, 2016, valid until
January 13, 2020, issued by the Port Authority of Bahia.
- National Certificate of Tonnage - 281CNA00001 / 2016 of April 18,
- Minimum Safe Manning (CTS) issued by the CPBA on 03/21/2016 and indefinite validity.
Details of the Trip:
The vessel was left at 06:30 am from the Mar Grande Maritime Terminal, in the municipality
of Vera Cruz - Bahia State, located on the Island of Itaparica, to cross the Mar Grande -
Salvador, on 08/24/2017. Then the boat passed the Mar Grande Lighthouse, which marks the
exit of waters sheltered by the crown formed by a barrier of corals. According to the report of
the commander of the vessel, the course taken was 060 degrees to compensate for the current
of the ebb tide. The accident occurred around 06h44, about 200 meters from the Maritime
Terminal of the municipality of Vera Cruz, in the Bay of Todos os Santos (BTS), demarcated by
the point of coordinates LAT 12º57'33.0 "S and LONG 038º35'36.7" W, culminating with the
death of nineteen passengers who were aboard the vessel.
V - ACCIDENT LOCAL DATA:
The accident occurred at the point of coordinates LAT 12º57'33.0 "S and LONG 038º35'36.7" W,
inside the Bay of Todos os Santos (BTS), in place of depth 5.3 meters, inland navigation Area 1 and
780 meters of the Lighthouse of Mar Grande, on the coast of the municipality of Vera Cruz, Island of
Itaparica, Bahia. In the course of the boat there is a low depth area marked in Photo 4.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Photo 3: Location of the accident reported
Photo 4: Depths near the Island of Itaparica. One can observe the sand and stone
bank that will be quoted ahead.
The environmental conditions at the time of occurrence were as follows: between
05:00 and 07:30 hours on August 24, 2017, according to Environmental Information
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Bulletin No. 134/2017, of the Center of Hydrography of the Navy, the region of interest
was under the influence of atmospheric instabilities associated with a quasi-stationary
frontal system over the ocean.
Meteorological records at Salvador airport indicated a predominance of overcast,
almost overcast, and southeast direction winds with intensity between 9 and 11 knots.
However, Salvador's automatic station, closer to the crash site, recorded bursts of
16.9 knots and light rain. A more local analysis of the rainfall can be performed by the
images of the meteorological radar of Salvador, which indicated that before the
departure of the vessel (around 0630P) there was no rain, but during the crossing,
one can perceive the occurrence of rain weak, occasionally moderate, in the area of
interest. On-the-spot waves, the data available are on-board satellite altimeters, which
indicate the occurrence of waves from 2.0 to 2.2 meters high, at a distance of
approximately 100 nautical miles from the region of interest. Were collected by the
satellite in the early morning of the 24th, at 0544 hours. The Brazilian Marine
Meteorological Service, operated by the Directorate of Hydrography and Navigation
through the Center for Hydrography of the Navy, did not issue a valid weather warning
to the vicinity of the region of interest, in this case, the ECHO area.
According to the study of the oceanographic parameters of the accident area on
August 24, 2017, of the coastal management company PREAMAR, during the
morning the marine currents presented values ranging from 0.05 knots to 6:00 hours
and 1, 2 knot at 7:30 p.m. Also according to the same study, in the vicinity of the
passenger terminal of Mar Grande, the height of the waves reached values greater
than 1.6 meters. In addition, 1.8-meter-high waves were noted in the region south of
the accident.
The region where the accident occurred is considered homeless for the south
(180 °) and southeast (135 °) quadrant waves, since all the wave intervals (0 - 0.63
m, 0.63 - 0.78 m, 0, 78 - 0.94 m, 0.94 - 1.9 m) occur in the region. It is possible to
observe that in 75% of the time, the significant wave height in the place where the
accident occurred varied between 0.2 and 0.94 m, the wave period between 4 and 6
seconds and the wave direction between 140º and 148° , 4th. Waves with significant
height between 0.94 and 1.9 m occur in 25% of the analyzed period. Significant wave
height (Hs) is defined as the average of one-third of the highest waves recorded
during the time considered.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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The study then concludes that the wave conditions on August 24, 2017, at the
time of the accident with the vessel “CAVALO MARINHO I”, are considered atypical in
the region, since the significant wave height above 0.97 m wave period between 8.6
and 9 seconds correspond to an accumulated probability of occurrence of less than
25%. The region of the Mar Grande passenger terminal, in extreme sea conditions, is
exposed to south and southeast quadrant waves and can reach up to 1.8 meters in
height.
According to a report by the National Institute of Meteorology, data from the
Ondina meteorological station in the city of Salvador, on August 24, 2017, showed
time with low rainfall with rainfall indexes of 8.2 millimeters, minimum temperature of
19.6ºC and winds with 31 km / h (16.7 knots) of maximum gust. Still according to the
report, the months corresponding to the winter in the region presented number of
days with rains superior to the climatological average. The meteorological
phenomenon that contributed to this condition was the action of high pressure on the
Atlantic Ocean, with greater intensity and proximity of the Brazilian coast, which
favored the increase of the winds in the coast and, consequently, the increase of low
and average nebulosity in the coast of Bahia, mainly in the winter.
The tide table published by the Brazilian Navy's Hydrography and Navigation Board
confirmed for the morning of the accident (08/24/2017): high tide at 05:21 (2.5 meters)
and low tide at 11:26 a.m. (0.2 meter) in the port of Salvador, located in the interior of
Bay of Todos os Santos.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Photo 5: Position of the accident drawn in the nautical chart of the region. Note the passage of the vessel on a sandbar and a high bottom to the south of the vessel, allowing waves from SSE
to be raised to the point of becoming potentially dangerous.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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VI - HUMAN FACTORS AND CREW:
Minimum Safe Manning - meeting the requirements of Chapter 1 of NORMAM-02 / DPC
and NORMAM-13 / DPC in both quantity and qualification of seafarers.
Nationalities: all four crew members involved in the accident were of Brazilian
nationality.
Boarding time / Previous experience - The crew member who commanded the vessel is
working at the company "CL TRANSPORTES" and commands the boat Nossa Senhora da
Penha; eventually, (approximately 20 trips) commanded the motorboat “CAVALO MARINHO
I”, in the condition of reserve boat. The Deck Auxiliary crew member since February 2014
has held this position in the six vessels of the company "CL TRANSPORTES MARÍTIMOS".
The crew member Able Seaman has been working for the company since 2008. He added
that, on the day of the accident, he was on the vessel "CAVALO MARINHO I". The Oiler
works on all vessels belonging to the company and has been in the position for almost five
years. All had previous experience, resulting from previous shipments.
Periods of Work X Rest and Fatigue: No irregularities were found.
Accommodations for the crew - no accommodation for the crew in general. Crossing
navigation with a duration of less than one hour.
Use of alcohol, drugs and medicines, used by the crew involved in the accident - Nothing
at all.
Safety Management - There is no specific Safety Management established for the vessel
"CAVALO MARINHO I". Such a requirement is not mandatory for passenger vessels used in
inland navigation.
VII – CHRONOLOGICAL SEQUENCE OF EVENTS:
At 06:20 hours on August 24, 2017, as reported in the interviews with the crew of the
vessel CAVALO MARINHO I, the vessel was docked at the pier of the Mar Grande
passenger terminal.
At 06:30 hours the boat departed from the terminal of Mar Grande towards Salvador,
with 116 passengers and 4 crew. The climate was moderate rain, good visibility and
moderate wind. According to the tidal forecast report of the Navy Hydrography Center, the
tide had reached its peak at 5:21 a.m. of the same day, with 2.5 meter of high tide .
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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According to the same bulletin, at 06:30 hours the tide was in an ebb tide, until it reached the
low tide of 0.2 meter at 11:26 in the morning of the same day.
At 06:35 hours the vessel passed the Lighthouse of Mar Grande, which marks the exit of
waters sheltered by the crown formed by barrier of corals. At that point, it began to rain hard
and visibility was affected. South-southeast winds with speeds of 15 to 16 knots were on the
starboard of the vessel. Wind and rain hit the passengers located on the upper deck of the
boat, so the crew lowered the starboard valances. According to the report of the commander
of the vessel, the course taken was 060 degrees to compensate for the current of the ebb
tide.
At 6:44 am, when sailing on a sandbar and rock, the vessel CAVALO MARINHO I was hit by
a strong wave in the starboard cross, causing the vessel to be diverted from the original
course. At the moment when the Commander of the vessel tried to correct the course, the
boat was hit by a second wave, which made it tack approximately 070 degrees to port.
Before it could return to normal condition, the vessel was hit by a third starboard wave, which
caused the total tack to 090 degrees and the fall of most of the passengers and crew in the
water. At this point, as reported in the interviews with the survivors on the lower deck of the
vessel, there was a heavy intake of water through the port windows and the access ladder to
the lower deck, making it impossible for passengers to leave the interior of the compartment.
The survivors who were in this compartment and who managed to escape passed through
the starboard windows and reached the outside of the hull.
The roof of the upper deck of the vessel was released, allowing the floats to be available to the
victims trying to remain on the surface of the water, still quite flogged by the waves and the wind in
the place. The vessel, even heavily hinged to port, continued to float and was driven by the current of
the ebb tide to the coral barrier located further south of the Mar Grande terminal. The survivors
waited for help in the water, trying to be together to facilitate the rescue, which was carried out with
the support of other passing passenger ships.
VIII - PROCEDURES AFTER THE ACCIDENT:
Immediately after learning of the accident, the first CPBA boat arrived on the scene in about 32
minutes after being fired. In total, in the Search and Rescue actions, five CPBA vessels and four
Brazilian Navy ships (MB) were sent with doctors and divers to the rescue of the victims. It was also
activated by MB, the Military Fire Brigade, the Mobile Emergency Service and the Air Force Branch of
the Military Police of Bahia, which sent a helicopter to the region of the event, besides requesting via
radio that vessels close to the site assist in the dodge the victims.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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The site called Barra da Penha was difficult to access and the victims were found dead, being
rescued by the Brazilian Navy five bodies, two in the sea and three inside the Barra da Penha.
The accident of the boat "CAVALO MARINHO I" caused the death of nineteen peoples, 59 injured
and one missing.
IX - CONSEQUENCES OF THE ACCIDENT:
- Personal Injury - Yes, with nineteen passengers dead and fifty-nine people injured.
- Environmental damage - there was no significant pollution.
- Material damage - partial shipwreck, followed by stranding and total loss of the vessel, due
to the climatic conditions prevailing in the region from August 24 to September 04, 2017.
X – EXPERT EXAMINATIONS:
The vessel was stranded on the coral barrier south of the Mar Grande passenger terminal
(Photo 1). The investigation was then initiated in the hull wrecked on August 26, by the
Security Investigators of the Port Authority of Bahia. On August 28, the two Investigators
returned to the place where the vessel "CAVALO MARINHO I" was located. The vessel had
a side crash on the starboard side at half a dock, where the team of experts gained access
to the interior of the hull. This malfunction was probably caused by the impact of the vessel
on the barrier of corals where it was stranded, since there were no reports of open water or
any other embarkation of water on board before the vessel was listed. On the lower
passenger deck were transverse mounted seats that were not provided for in the approved
plans of the vessel (Photo 6).
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Photo 6: View of the lower deck of the vessel CAVALO MARINHO I after the accident.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Also noted were ballasts not provided for in the plans and stability study presented by
the naval engineer Technical Responsible for the vessel "CAVALO MARINHO I".
Cement rollers were noted at the bottom of the lower passenger compartment (Photo 7),
cut loose and accumulated stones on the port side to the rear of the Engine Room
(Photo 8) and stones in the side of the port side below the command house of the vessel.
Photo 7: Cement rolls found between the structural reinforcements of the bottom of the hull, below the lower deck. The ballast was found submerged by the tide entering the rough vessel.
Photo 8: Stones used as ballast, found aft of the Engine Room, accumulated to starboard due to the trimming of the vessel.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Several lifejackets were still in the boat, indicating that the passengers did not have time
to dress them after the overlap. On the main deck, some valances were still mounted and
it was possible to access the Engine Room and the Command Room. At the control of the
boat, you can see the throttle lever engaged (Photo 11).
Photo 9: Engine Room with two main propulsion engines.
The structure that served as the roof of the house on the main deck was separated
from the vessel during the accident (Photo 10). In the Engine Room it was verified the
assembly of two propulsion engines (Photo 9).
Photo 10: Main deck of the vessel, without the roof that fell after the trim.
BRAZILIAN NAVY Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
Maritime Safety Investigation Rep
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Photo 11: Cabin of command of the boat. The engine throttle levers were found to be engaged.
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BRAZILIAN NAVY
Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
s
XI - ANALYSIS AND CAUSAL FACTORS:
(a) Summary of the vessel:
On January 17, 2012, the new Plans of the vessel were approved by the
Inspection and Inspection Group (GVI) of the Ports Capitaincy of Bahia (CPBA),
presented by the Technical Engineer Naval Engineer, changing the capacity of
132 passengers and 4 crew members to 160 passengers and 4 crew.
On January 13, 2016, the CPG GVI carried out the dry inspection of the
vessel for the renewal of the Navigation Safety Certificate (CSN) and, in the end,
issued a dry inspection report without any deficiencies. After that, a floating
survey was carried out, where the naval inspector of the CPG GVI verified
changes in the vessel and requested new technical documents compatible with
the actual condition of the vessel at the time of the survey. These changes were
already foreseen in new documentation issued on 12/28/2015 by the Technical
Engineer Naval Engineer, but until that moment, had not been presented to the
GVI of the CPBA for the proper approval in the light of NORMAM.
In February 2016, the legal representative of the owner of the passenger vessel
"CAVALO MARINHO I" received a request from the CPBA for the issuance of
vessel alteration. Such alteration was intended to adapt the vessel according to
the habitability criteria recommended in Annex 3-M of NORMAM for Ships Used
in Inland Navigation. The change was also aimed at correcting the vessel's
billing notes, including the area covered, and adding one more propulsion
engine, leaving the vessel with two MWM engines of 145 HP each. These
alterations were consolidated by the Naval Engineer Technical Responsible of
the vessel through the technical documents issued on Dicember 28,2015.
On April 5, 2016, the new plans and technical documents regarding
the alterations of the vessel were verified, issuing later the License of
Amendment number 281LA00002 / 2016.
On April 12, 2016, the floating survey and the survey of tonnage
were carried out, with the objective of establishing real compatibility of the vessel
with the updated plans and signed by the Technical Naval Engineer. No
discrepancies were found in this survey.
On April 18, 2016, CPBA issued the Navigation Safety Certificate
(CSN) number 281CSN00013 / 2016, valid until January 13, 2020 and the
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BRAZILIAN NAVY
Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
s
National Archiving Certificate number 281CNA00001 / 2016.
On April 20, 2017, the CPBA carried out the survey for the CSN's annual
endorsement of the vessel.
Therefore, on the day of the accident, the vessel had all valid statutory
certificates.
(b) Modifications made on the vessel:
According to an interview with the owner of the company CL Transporte
Marítimo, responsible for the operation of the vessel "CAVALO MARINHO I", it
was confirmed the change of the motorization of the vessel, exchanging a GM
engine for two MWM engines model TD 229/6, and the installation of stones in
the back region of the Machine Square, totaling 300 kilograms of ballast,
between May and June 2017.
During the inspection carried out on the vessel, the following alterations were
made without adequation of the plans and without the consent of the Maritime
Authority:
1 - Installation of transverse seats mounted lower deck of passengers that were
not foreseen in the approved plans of the vessel;
2 - About 300 kilograms of cut stones loose and accumulated on the side of port
aft of the Place of Machines; and
3 - About 100 kilograms stones in the region of the side to port below the house
of the command of the vessel.
About 600 kilograms of weights in the form of cement rollers were found
mounted on the bottom of the lower passenger compartment. This weight was
not confirmed as added weight in the vessel after the Test of Inclination carried
out in the year 2012 by the Naval Engineer Technical Responsible nor by the
owner. Therefore, this weight was considered as being part of the vessel,
declared in the Incline Test, and was not increased in the calculations of balance and
stability.
c) Results of the expertise:
During the two visits aboard the vessel stranded in the corona after the
accident, it was possible to verify the modifications declared in interviews, either the
installation of ballast in the form of stones cut to the rear of the Engine Room, or the
new arrangement with two propulsion engines in the same compartment. In addition,
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BRAZILIAN NAVY
Directorate of Ports and Coasts Marine Safety Superintendence
Sinking of the vessel "CAVALO MARINHO I" Department of Inquiries and Investigations of Navigation Accidents
s
an estimated 100 kilograms of ballast-cut stones were found in a port bay next to the
side of the vessel below the forward command. The steering system, mechanically
driven by the rudder, was intact. It can be seen that the throttle lever was engaged
forwards (Photo 11).
On September 5, a simulation was carried out of part of the sinistrade vessel,
aiming to establish the exact location of the accident and, therefore, to analyze the
local environmental conditions, as well as the physical characteristics of the place,
mainly regarding the type background. The climatic conditions on that day presented
winds of the south quadrant and ebb tide, conditions close to the day of the
accident. The Driver and Commander of the SEA CAVALO I on the day of the
accident accompanied the team of investigators and indicated with precision the
point in the Nautical Chart where the accident occurred. The LAT coordinates. 12 °
57 '33''S and LONG. 038º 35 '36.7 "W represent, in the Nautical Chart, the point
where the accident occurred, on a sand and stone bank near the Mar Grande
terminal. It was found that the vessel was navigating on a sand and stone bank with
depth of 5.3 meters, with the Boreste being the presence of a region of high depth
with 3 meters of depth (Photo 4). On November 30th, with the presence of the driver
and commander of the vessel "CAVALO MARINHO I" on the day of the accident, a
new simulation of the boat was carried out, to analyze the course carried out by the
vessel, from the Mar Grande Terminal the location of the accident.
Simulations and stability tests:
In possession of the Definitive Stability Study, the Plan of Lines, the Plan of
General Arrangement of the results of the Slope Test and Hydrostatic Curves,
prepared by the Technical Engineer who conducted the technical survey of the
vessel and presented to the Port Authority of Bahia on 01/17/2012; several
simulations and stability calculations were carried out in order to verify if the vessel
complied with the criteria of intact stability recommended in NORMAM-02 / DPC for
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inland navigation Area 1.
The hull of the vessel was modeled and introduced in MAXSURF naval
architecture calculations program, and weights were introduced according to the
distributions obtained for the day of the accident, considering the results shown in
the tilt test approved in 2012 and some recent modifications verified by the
Investigators and confirmed in interviews.
First, the static equilibrium conditions were plotted and the stability curve of the
vessel was plotted, considering only the data presented by the Technical Naval
Engineer. The cocking arms were then simulated due to the accumulation of
passengers, wind action and yaw maneuver, simulating strictly the parameters
presented by the Technical Engineer Naval Engineer for the condition of maximum
capacity of the vessel, which was 160 passengers and 4 crew , in a total of 164
people. It was verified that the vessel, based strictly on the data presented by the
Technical Naval Engineer, met the stability criteria for the inland navigation area 1,
as recommended in chapter 6 of NORMAM-02 / DPC. The Stability Study Report of
the Cavalo Marinho I Vessel was presented, attached to this safety investigation.
Stability Criteria for Inland Navigation Area 1:
The stability criterion established in NORMAM for vessels used in Inland
Navigation has five items, all of them mandatory, to be for the approval of the safe
conditions of the vessel, considering the expected loading in the project.
Level I corrections:
However, the value declared by the Technical Naval Engineer of the longitudinal
position of the center of gravity of the weight corresponding to the distribution of
110 passengers on the upper deck and 50 passengers on the lower deck does not
correspond to the calculation of the combined values on the two decks and can not
even be considered a mathematical approximation. It was then necessary to adjust
to a new value representing the precise calculation of the passenger distribution.
Another necessary adjustment was made in the value of the vertical position of the
center of gravity of the weights corresponding to the passengers' luggage. As
recommended in NORMAM-02 / DPC, a weight of 25 kg of luggage must be
stipulated for each person on board, stowed with the passenger, including also the
crew. The value presented by the Technical Engineer Naval Engineer for the vertical
position was then adjusted from VCG = 1.0 meter from the baseline of the vessel to
VCG = 1.775 meters from the same reference. The diesel oil tank (TOD) had its
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weight calculated by the Technical Engineer Naval Engineer, but the transverse
moment due to the removal of the center of gravity of the tank in relation to the
center line of the vessel ended up being despised by the Naval Engineer Technical
Responsible.
When verifying compliance with the stability criteria for area 1 of the inland
navigation, it is concluded that these corrections are already sufficient for the vessel
not to meet the criteria of areas under the static stability curve, as recorded in the
Stability Study of the vessel “CAVALO MARINHO I”, in the Annex.
For the same group of corrections of the data presented by the Technical
Engineer of the vessel, the static stability curve of the vessel was established, this
time considering the ballast stones found below the cockpit and inside the Machine
Square, in the position final, accumulated to port. The result is similar to the
simulation with the vessel without these ballasts, but the difference between the
minimum area negative results under the stability curve in the two cases indicates
the negative influence of these weights in the stability of the vessel.
Level II corrections:
At this level of adjustment, the centers of gravity of the accumulation of
passengers on the two decks were considered, grouped together using the
Solidworks program, as demonstrated in the Report. As envisaged in Item 0635,
sub-line 6 of NORMAM-02 / DPC: "Passengers without their baggage shall be
considered distributed in order to produce the most unfavorable combination that
can be verified in practice for the moment of the shipment due to the grouping of
passengers in an edge and or vertical position of the center of gravity in the
condition. " The Naval Engineer Responsible Technical considered as the most
unfavorable combination recommended by NORMAM-02 / DPC when transporting
the maximum capacity of 164 people, as requested by the shipowner and sanctioned
by the Naval Engineer Technical Responsible.
Stability simulations for conditions on the day of the accident:
According to the information collected during the investigation, a total of 120
people were on board the vessel at the time of the accident. In order to evaluate the
safety levels of the vessel, the stability tests required to certify the vessel were
simulated, considering the weight arrangement of the total number of people on
board, with the last modifications made by the shipowner.
According to interviews with the passengers and crew of the vessel, a minimum of
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20 people were on the lower deck on the day of the accident. Therefore, the
distributions were simulated considering 20 people in the lower deck and 100 people
in the upper deck, always considering a total of 120 people.
Regarding the modifications of the vessel after 2012, an increase of 500
kilograms in the Engine Room was considered, regarding the difference in weight
between the arrangement of two propulsion engines, as well as the stones
embedded in the bottom of the Machine's aft square, both verified on board by the
Investigators and confirmed in an interview. It is added that the stones mounted in
the region of the Machine's Square were considered accumulated in the side of port,
situation in which they were verified by the team of Experts after the accident. The
ballast stones found in a port side compartment below the cockpit, in front of the
vessel, estimated to have a minimum weight of 100 kilograms were also considered.
The same adjustments considered in the corrections levels I and II were applied
for this simulation, taking into account the reduction of the number of people on
board of 164 (100% of passengers) to 120 (arrangement of the day of the accident).
It was proved that the vessel carrying 120 people also did not meet the area
requirement under the static stability curve, even considering the minimum stability
criteria for area 1 of inland navigation, as recommended in chapter 6 of NORMAM-
02 / DPC.
Due to the winds of approximately 16.9 knots that reached the vessel on the
starboard side, which, together with the side awnings (valances) lowered, could
negatively influence the lateral restoration capacity of the vessel in the event of an
overhang, the arms were also simulated due to the wind considering the lowered
screens. It was found that the embedding arm due to the lateral wind was not
enough to compromise the restoring force of the vessel.
Contributing factors to the accident:
The vessel CAVALO MARINHO I had its stability calculated and presented by the
Naval Engineer Technical Responsible for Area 1 of the inland navigation, allowing
the vessel to operate on the route between Mar Grande and the tourist terminal of
Salvador, since it is located within the limits of this type of navigation. The criteria
that must be met to meet the stability requirements are relatively milder if we
compare with the stability requirements for Inland Navigation Area 2 or for open sea
navigation where waves of significant height and adverse combinations of
environmental agents such as such as wind, currents or tides can hinder the traffic
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of vessels.
However, the hull modeling and the calculation of static stability curves
performed by the Expert team showed that the vessel did not comply with the
minimum stability criteria for the navigation area where it operated, for both the
maximum passenger loading condition (160 passengers + 4 crew) and for the
passenger loading condition on the day of the accident (116 passengers + 4 crew).
The minimum area criterion under the static stability curve of the vessel is directly
related to the dynamic stability of the vessel, as it represents the work of the
restoring arm as opposed to the work performed by a dump arm caused by some
force external to the vessel. In the case of criteria for inland navigation area 1, this
arm may be caused by accumulations of people on one side of the vessel, by the
lateral wind action or by a yaw maneuver already established in NORMAM. In the
case of the passenger vessel CAVALO MARINHO I, the most significant cocking
arm is due to the accumulation of passengers on one of the edges. According to the
criteria, the area under the curve of static stability shall be equal to or greater than the
area under the curve of the inflatable moment until the vessel inclines to the angle of flood
or 40 °, whichever is less.
However, area A2 under the static stability curve of the vessel on the day of the
accident from the equilibrium angle after passenger accumulation of 11.7 ° to the
second equilibrium angle of just over 32 °, where the static stability curve touches
again the curve of the brewing moment, is lower than the area A1 under the curve of
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the brewing arm to the first equilibrium angle. This means that when we apply the
overhanging arm due to the accumulation of passengers in the vessel, it tilts
transversely beyond the first equilibrium angle until the area under the static stability
curve equals the area of the seeding moment. However, when we apply this
moment of embedding, the boat ends up sloping beyond the second equilibrium
angle, which is unstable, that is, it does not guarantee the return of the vessel to the
first equilibrium angle, causing the boat's definitive adernement when it passes of
32 °. It is true that people did not accumulate on one side of the vessel at the time
of the accident, as was simulated to verify compliance with the criterion, but we must
take into account that this criterion juxtaposes a safety margin, which is adequate
and sufficient to ensure that the vessel has sufficient stability, even in temporarily
unfavorable wind and sea conditions, which may well occur in sudden environmental
changes, even in warm waters.
It was also demonstrated that ballast weights improperly installed loose in the
Machine Square and in the region below the command contributed to the reduction
of the vessel's ability to resist the dump arms due to external forces. When the boat
was tilted, the weights were displaced precisely to the trimming edge due to the
action of gravity, definitely influencing the final balance of the vessel.
According to the Environmental Information Bulletin of the Navy's Hydrography
Center, the region where the accident occurred was under the influence of
atmospheric instabilities associated with a quasi-stationary frontal system over the
ocean. According to the report of the National Institute of Meteorology, the months
corresponding to the winter in the region presented number of days with rainfall
above the climatological average. The meteorological phenomenon that contributed
to this condition was the action of high pressure on the Atlantic Ocean, with greater
intensity and proximity of the Brazilian coast, which favored the increase of the
winds in the coast and, consequently, the increase of low and average cloudiness in
the coast of Bahia, especially in winter. The study of oceanographic parameters
concluded that the wave conditions on August 24, 2017, at the time of the accident
with the vessel CAVALO MARINHO I, are considered atypical in the region, since
the significant wave height above 0.97 m wave period between 8.6 and 9 seconds
correspond to an accumulated probability of occurrence of less than 25%. The
region of the Mar Grande passenger terminal, in extreme sea conditions, was
exposed to south and southeast quadrant waves and can reach up to 1.8 meters in
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height.
As was demonstrated during the simulation of the vessel's position to the site of
the accident, which is located in a low sand depth region (Photo 4), it is important to
discuss the behavior of the wave propagation in shallow waters, in practice for with
depths of less than 5 meters. The wave propagation speed decreases when it
encounters areas of low depth. The movement of the particles of the fluid is delayed
by the influence of the bottom closest to the surface, occurring a compression of the
crests of the waves, reducing the length and increasing the height of the waves.
With this, the crests of the waves become narrow and pointed, and the cavas
become wide curves, just as in the high-energy waves of the open sea. Increasing
height accompanied by decreased wavelength, increases the wavelength (H / L).
When it reaches L / 7, the wave breaks.
Therefore, in low-lying regions, the waves originating from the open sea that
enter the south quadrant in Todos os Santos Bay may have their height increased
and, depending on the relationship between height and length, become waves of
bursting. On the day of the accident, the vessel “CAVALO MARINHO I” was sailing
in the low depth region and was subject to vacancies that, coming from the South,
passed over a region of high depth with only 3 meters of depth according to Nautical
Chart of the region (Photo 4).
Added to this scenario is the marine current caused by the ebb tide, in a north-south
direction, contrary to the propagation of the waves, which probably contributed to the
surge of waves that struck the boat on the starboard wing, ship that was exposed to
these environmental factors.
As recommended in NORMAM-02 / DPC, in "Precautions against bottlenecks",
compliance with the stability criteria does not guarantee immunity against
bottlenecks or absolve commanders of their responsibilities. The commanders
should therefore act with caution and observe seafaring rules, taking into account
the weather reports and the navigation zone for the season, and should adopt the
speed and course appropriate to the circumstances. Special attention should be
paid before the commencement of a voyage so that all cargo and larger pieces of
equipment are properly stored and handled to minimize the possibility of longitudinal
or transverse displacement when at sea under the effect of accelerations caused by
rocking movements and pitching.
Commanders should be alert to regions of wave breaking and certain
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combinations of wind and current occurring in river estuaries or in a shallow area
due to the fact that these waves are dangerous, especially for small vessels.
It is important to note that, according to the standards in force, the Commander of
the vessel shall be the supreme authority on board and shall, where necessary, take
over the maneuver in situations of dangerous crossings, entering and leaving ports,
mooring, unattended, adverse or severe sea conditions, seizure or any other
maneuver in cases of emergency. The same, when faced with the conditions of wind
and adverse / moderate sea, could have aborted the trip and returned to the terminal
of Mar Grande, because the conditions of wind and sea were not satisfactory for the
navigation at that moment, according to information of the witnesses and the Bulletin
of the Navy Hydrography Center.
In navigation with strong winds and adverse / moderate sea, it is recommended
that the Commander make safe navigation, navigating under cover, thus avoiding
strong balances and risk of heeling or band of the vessel. According to the
information collected and the reconstruction of the accident, the commander, at the
time of the accident, sailed with the true 060º course, with the wind and sea in the
direction of SSE, crossing through Starboard side, thus favoring the instability of the
vessel at that moment. The commander would recommend avoiding the incidence of
severe wind and sea through the Starboard but rather navigate the cover, adopting a
more comfortable course, leading to Port, heading approximately NNE, 023 degrees
true and continue the boat. It could also have avoided this area of risk, the sandbank
and stones, where the contribution of the fund to the increase of the waves is
relevant.
XII - PRELIMINARY LESSONS LEARNED AND CONCLUSIONS:
The exposure of the vessel to navigation in atypical adverse conditions of current,
sea and wind not common to the region, aggravated by abrupt meteorological
alteration added to the decision of the Commander of the vessel not to take
preventive security measures that were necessary at that moment to avoid the
accident, such as:
- should not be suspended from the Mar Grande passenger terminal;
- even after the exit could have avoided the sandbank and stones, thus reducing the
impacts of waves and winds through starboard or
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- could have returned to the Mar Grande terminal, awaiting better conditions of sea
and wind for safe navigation and possibly would have avoided the accident.
- existence, at the operating company, of operating limits for the Mar Grande -
Nautical Terminal of Salvador could possibly have prevented the accident.
The shipping company responsible for the operation of the vessel "Cavalo
Marinho I" does not have specific procedures to establish the operational limits for
the transportation of passengers in cases of meteorological changes for the crossing
of Mar Grande - Salvador's Nautical Terminal and the occurrence of atypical waves
for the locality. According to information gathered from the Commander of the
vessel, there is a basic procedure to alert the conditions of wind and severe sea and
is conducted by the Operations Manager of the company CL. However, on the day
of the accident no warning of weather degradation was triggered and neither was
the ship's commander informed of such condition, which would prevent the vessel
from leaving the Mar Grande terminal, Vera Cruz.
It was found that the owner of the vessel installed ballast stones in the Engine
Room but only fitted between the back caves of the compartment. The inadequate
fixing of these weights caused the displacement of the stones to the edge of the
sheeting, contributing to the imbalance of the vessel and, consequently, the
degradation of its stability. In addition, the ballast weights installed in the Engine
Room, in addition to the new arrangement with two propellers, introduced a weight
amount that extrapolated a minimum of 2% of the light weight of the vessel, which
requires, as recommended in the Norms of Maritime Authority for Inland Navigation
Vessels, that the Technical Officer of the vessel perform a new Slope Test and
prepare a new Stability Study, taking into account the modifications of the total
weight and position of the center of gravity of the vessel.
XIII - SAFETY RECOMMENDATIONS:
1) Rigorous inspection of the vessels employed in the transportation of passengers
in the bay of Todos os Santos, through actions of Naval Inspection, with a more
conservative attitude;
2) Use of quick release devices for valances;
3) Study the need to change the navigation areas 1 and 2 in the Bay of Todos os
Santos (BTS), considering that the Mar Grande - Salvador crossing area, at some
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times of the year, presents characteristics of a homeless area;
4) During the Naval Inspection activities, request from the operating companies the
presentation and execution of the Crew Training Plans of the passenger vessels, as
stated in chapter 10 of NORMAM-02 / DPC;
5) Present operating limits for passenger vessels in case of meteorological changes
to the Mar Grande - Nautical Terminal of Salvador and other passenger terminals
located in the bay of Todos os Santos, aiming at the integrity of passengers, crew
and security of the avoiding similar accidents in the future.
6) Regarding the positioning of lifejackets, these should be in easily accessible and
well-marked locations. For passengers traveling seated, it is recommended to
position under the seat. For other passengers, lifejackets can be positioned on the
roof, provided that there is ease of removal, without the need for external
assistance.
7) make information on wind intensity and sea state available at boarding stations;
8) formalize the operational limits to interrupt the crossing in case of bad weather,
depending on the sea and wind conditions in each region;
9) provide duly equipped support vessels to operate in emergencies of their own
vessels;
10) Effectively control the embarkation of passengers, depending on the capacity of
each vessel;
11) to create a training program for masters of passenger vessels, covering the
following topics, among others:
- the responsibilities of masters,
- observation of the weather,
- precautions against capsizing;
- the importance of the dissemination of safety instructions to passengers (briefing),
training in emergency situations, abandonment and others;
12) formalize the obligation of the use of uniforms by the crew of the vessels, in
order to differentiate them from the passengers in emergency situations;
13) in vessels with Gross Tonnage greater than 20, present the records of the drill
exercises for crew training, for emergency situations; and
14) require the affixing of plaque on vessels containing the main responsibilities of
masters.
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XIV) ANNEX:
Report on the Stability Studies of the vessel "CAVALO MARINHO I"
*****************************************************
- A-1 -
Report on the Stability Studies of the vessel "CAVALO MARINHO I"
MARINHA DO BRASIL
DIRETORIA DE PORTOS E COSTAS
Relatório do Estudo de Estabilidade da
Embarcação Cavalo Marinho I
2017
- A-2 -
Sumário
Introdução Objetivo
1. Modelo da Embarcação
1.1. Hidrostática da Embarcação Leve (Lightship)
2. Condição A – Norman 0635 - Seção V
2.1. Sem Correções
2.1.1. Características Hidrostáticas da condição de equilíbrio
2.1.2. Gráfico da Curva do Braço de Restauração
2.1.3. Resultado dos Critérios
2.2. Com Lastro
2.2.1. Características Hidrostáticas da condição de equilíbrio
2.2.2. Gráfico da Curva do Braço de Restauração
2.2.3. Resultados dos Critérios
2.3. Correções Nível I (sem lastro)
2.3.1. Características Hidrostáticas da condição de equilíbrio
2.3.2. Gráfico da Curva do Braço de Restauração
2.3.3. Resultados dos Critérios
2.4. Correções Nível I (Com lastro)
2.4.1. Características Hidrostáticas da condição de equilíbrio
2.4.2. Gráfico da Curva do Braço de Restauração
2.4.3. Resultados dos Critérios
2.5. Correções Nível II (Sem lastro)
2.5.1. Características Hidrostáticas da condição de equilíbrio
2.5.2. Gráfico da Curva do Braço de Restauração
2.5.3. Resultados dos Critérios
2.6. Correções Nível II (Com lastro)
2.6.1. Características Hidrostáticas da condição de equilíbrio
2.6.2. Gráfico da Curva do Braço de Restauração
2.6.3. Resultados dos Critérios
2.7. Resumo da Condição A
- A-3 -
3. Condição do Acidente (100-20)
3.1.1. Características Hidrostáticas da condição de equilíbrio
3.1.2. Gráfico da Curva do Braço de Restauração
3.1.3. Resultados dos Critérios
4. Condição do Acidente (100-20)
4.1.1. Características Hidrostáticas da condição de equilíbrio
4.1.2. Gráfico da Curva do Braço de Restauração
4.1.3. Resultados dos Critérios
- A-4 -
Introdução
No presente documento o engenheiro perito apresenta os procedimentos adotados e os
cálculos efetuados para a análise da estabilidade da embarcação Cavalo Marinho I.
Objetivo
O objetivo é documentar e avaliar objetivamente os resultados do teste de equilíbrio e
estabilidade e as exigências que se aplicam pela norma.
1. Modelo da Embarcação
A documentação e os dados utilizados para a criação do Modelo foram:
- Tabela de Cotas
- Plano de Linhas
- Características Hidrostáticas da Embarcação na condição Leve (Lightship)
Devido a impossibilidade de periciar as medições na embarcação no local do acidente
(forma do casco, posições e pesos) o modelo do casco foi criado com base nas
informações prestadas pelo engenheiro priorizando atingir, sem reduzir, os principais
atributos ligados à estabilidade.
O plano de linhas apresentado à Marinha é de documentação datada de 2012, anterior à
última reforma, porém foi considerado fidedigno à forma do casco, conforme estabelecido
pelo engenheiro, e utilizado para ajuste a fim de obter as características principais
indicadas no documento.
Segue imagem abaixo do resultado final da modelagem:
FIGURA 1 - IMAGEM DA MALHA DA EMBARCAÇÃO
- A-5 -
FIGURA 2 - PLANO DE LINHAS DO ALTO
FIGURA 3 - PLANO DE LINHAS D'ÁGUA
FIGURA 4 - PLANO DE BALIZAS
-A- 6 -
1.1. Hidrostática da Embarcação Leve (Lightship)
A embarcação após sua modelagem apresenta similitude com a condição leve informada pelo engenheiro.
A seguir indicamos a comparação da característica hidrostática dos resultados:
● A primeira criando uma condição de equilíbrio com base no calado e trim indicado
pelo engenheiro no documento “ Estudo de Estabilidade Definitivo ”.
● A segunda rodando uma análise de equilíbrio através do deslocamento, LCG e
VCG da embarcação informado pelo engenheiro no documento “ Estudo de Estabilidade Definitivo ”.
Portanto, segue o seguinte resultado hidrostático para a primeira comparação da embarcação:
Dados Hidrostáticos Valor Unidade Engenheiro
Displacement tons 37.6 m 37.47
Heel to Starboard 0 º 0
Draft at FP m 0.80 m 0.809
Draft at AP m 0.82 m 0.821
Draft at LCF m 0.81 m 0.815
Trim (+ve by stern) m 0.01 m 0.012
KG m 1.25 m 1.250
GMt m 2.13 m 1.956
O segundo resultado nos fornece:
Dados Hidrostáticos Valor Unidade Engenheiro
Displacement tonne 37.4 t 37.47
Heel to Starboard 0 º 0
Draft at FP m 0.81 m 0.809
Draft at AP m 0.80 m 0.821
Draft at LCF m 0.81 m 0.815
Trim (+ve by stern) m - m 0.012
KG fluid m 1.25 m 1.250
GMt m 2.01 m 1.956
-A- 7 -
De acordo com o documento “Estudo de Estabilidade Definitivo ” apresentado pelo
engenheiro, pode-se notar que foram respeitadas as principais características
hidrostáticas da embarcação principalmente o GMt:
Dados Hidrostáticos 1 2ª Engenheiro
Displacement tons 37. 37.4 37.47
Heel to Starboard 0 0 0
Draft at FP m 0.8 0.80 0.809
Draft at AP m 0.8 0.80 0.821
Draft at LCF m 0.8 0.81 0.815
Trim (+ve by stern) m 0.0 - 0.012
KG m 1.2 1.25 1.250
GMt m 2.1 2.01 1.956
Os resultados indicam que na primeira situação, onde estipulou-se o calado e o trim, a
embarcação apresentou um deslocamento superior ao do engenheiro em apenas 0,3% e
um GMt superior em 9%. Esses valores comprovam que a embarcação modelada possui
um volume submerso maior que o indicado pelo engenheiro e com uma condição de
estabilidade melhor.
Na segunda situação, onde o programa calcula a condição final de equilíbrio após
indicação de peso e centro de gravidade, o resultado nos oferece uma condição com
pequeno trim de 9 mm à vante enquanto o engenheiro apresenta 12 mm à ré,
praticamente aprumados, e um GMt superior em 3%.
Analisando o caso conjuntamente é possível comprovar que a embarcação foi modelada
de forma precisa e constitui-se em uma embarcação mais estável que a apresentada
pelo engenheiro na documentação, portanto os estudos de estabilidade efetuados e seus
resultados possuirão uma pequena margem conservadora.
-A- 8 -
2. Condição A – NORMAM 2/DPC , 0635 - Seção V
O estudo de estabilidade da embarcação na condição de carga total de partida, com
carga distribuída homogeneamente em todos os espaços de carga e com
abastecimento total de gêneros e combustível é apresentado a seguir na seguinte
sequência:
- Sem correções
- Com lastro
- Com correções
- Com correções e lastro
2.1. Sem Correções
Os dados utilizados foram os mesmos que o apresentado na documentação:
Item Peso Kg MV LCG ML TCG MT
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustível 0,33 1,300 0,432 15,020 4,987 0,000 0,000
Água 0,30 1,300 0,390 14,120 4,236 0,000 0,000
Passageiros 12,000 2,780 33,360 8,250 99,000 0,000 0,000
Tripulantes 0,40 2,700 1,080 15,100 6,040 0,000 0,000
Bagagem 4,00 1,000 4,000 8,250 33,000 0,000 0,000
Lastro 0,00 0,000 0,000 0,000 0,000 0,000 0,000
Motorização 0,50 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,002 1,572 86,438 8,633 474,849 0,000 0,000
-A- 9 -
2.1.1. Características Hidrostáticas da condição de equilíbrio
Dados Hidrostáticos Valor
Draft Amidsh. M 1.05
Displacement tonne 55.0
Heel to Starboard degrees 0.0
Draft at FP m 1.07
Draft at AP m 1.04
Draft at LCF m 1.05
Trim (+ve by stern) m -
WL Length m 18.3
WL Beam m 4.95
Wetted Area m^2 85.7
Waterpl. Area m^2 71.6
Prismatic Coeff. 0.72
Block Coeff. 0.55
Midship Area Coeff. 0.76
Waterpl. Area Coeff. 0.78
LCB from Amidsh. (+ve fwd) m -
LCF from Amidsh. (+ve fwd) m -
KB m 0.64
KG fluid m 1.57
BMt m 2.09
BML m 27.8
GMt m 1.16
GML m 26.8
KMt m 2.74
KML m 28.4
Immersion (TPc) tonne/cm 0.73
MTc tonne.m 0.82
Max deck inclination deg 0.1
Trim angle (+ve by stern) deg -0.1
-A- 10 -
- 10 -
2.1.2. Gráfico da Curva do Braço de Restauração
- A-11 -
2.1.3. Resultado dos Critérios
Critérios Valor Unidade Encontrado Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.0 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.0 graus Não deve ser inferior a (>=) 0.350 m 1.168 Aprovado
Braço de Endireitamento Máximo ( GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.275 Aprovado
Valores intermediários Angulo de ocorrência GZ máximo graus 19.1
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 66.7 Aprovado
Ângulo de Imersão do Convés Deve ser superior a (>) graus 9.2
Critério de Ângulo de Equilíbrio sob Momentos:
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 10.1 Aprovado
Valores intermediários Braço de endireitamento máximo m 0.203
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 0.9 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 0.7 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 122,918% Aprovado
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por não haver necessidade
uma vez que, pelo gráfico, notamos que o momento é irrisório se comparado com o
acúmulo de passageiros.
-A- 12 -
2.2. Com Lastro
Os dados utilizados foram retirados da documentação apresentada à Capitania,
porém com o acréscimo do lastro encontrado durante perícia:
Item Peso (t) Kg (m) MV LCG (m) ML TCG MT
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustível 0,332 1,300 0,432 15,020 4,987 0,000 0,000
Água 0,300 1,300 0,390 14,120 4,236 0,000 0,000
Passageiros 12,000 2,780 33,360 8,250 99,000 0,000 0,000
Tripulantes 0,400 2,700 1,080 15,100 6,040 0,000 0,000
Bagagem 4,000 1,000 4,000 8,250 33,000 0,000 0,000
Lastro Vante 0,100 2,150 0,215 14,000 1,400 1,300 0,130
Lastro PM 0,300 0,700 0,210 2,712 0,809 1,379 0,327
Motorização 0,500 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,402 1,568 86,863 8,611 477,058 0,008 0,457
Como durante a perícia, lastros foram encontrados nas regiões de popa, a ré da Praça
de Máquinas, e proa, no costado à vante, e suas posições foram estimada no desenho
do arranjo geral, com base nos registros fotográficos e inspeção, e o seu peso foi
estimado por baixo na perícia e confirmado nos depoimentos.
Lastro da Praça de
Máquinas (Lastro PM): Peso
= 300 Kg (no mínimo)
CG = (2.712 ; 1.379 ; 0.700)
Lastro da Cabine de Comando
(Lastro Vante): Peso = 100 Kg
(no mínimo)
CG = (14.000 ; 1.300 ; 2.150)
-A- 13 -
2.2.1. Características Hidrostáticas da condição de equilíbrio
Dados Hidrostáticos Valor
Draft Amidsh. M 1.064
Displacement tonne 55.4
Heel to Starboard degrees 0.32
Draft at FP m 1.073
Draft at AP m 1.056
Draft at LCF m 1.064
Trim (+ve by stern) m -0.017
WL Length m 18.342
WL Beam m 4.956
Wetted Area m^2 86.033
Waterpl. Area m^2 71.752
Prismatic Coeff. 0.727
Block Coeff. 0.556
Midship Area Coeff. 0.768
Waterpl. Area Coeff. 0.789
LCB from Amidsh. (+ve fwd) m -0.363
LCF from Amidsh. (+ve fwd) m -0.635
KB m 0.646
KG fluid m 1.568
BMt m 2.086
BML m 27.741
GMt m 1.164
GML m 26.819
KMt m 2.732
KML m 28.387
Immersion (TPc) tonne/cm 0.736
MTc tonne.m 0.828
RM at 1deg = GMt.Disp.sin(1) 1.126
Max deck inclination deg 0.3
Trim angle (+ve by stern) deg -0.1
-A- 14 -
- 14 -
2.2.2. Gráfico da Curva do Braço de Restauração
-A- 15 -
2.2.3. Resultados dos Critérios
Critérios Valo Unidade Encontrad Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.4 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.35 m 1.163 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.10 m 0.264 Aprovado
Valores intermediários Angulo de ocorrência GZ máximo graus 18.6
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 65.9 Aprovado
Ângulo de Imersão de Convés
graus 9.1
Critério de Ângulo de Equilíbrio sob
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 10.5 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.201
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.3 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 1.2 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 106.680% Aprovado
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores muito
irrisórios, principalmente se comparados com o momento causado pelo acúmulo de
passageiros.
-A- 16 -
2.3. Correções Nível I (sem lastro)
As correções Nível I feitas nos cálculos do engenheiro foram:
➢ LCG final (tabela – Pag. 6 do documento “Estudo de Estabilidade Definitivo”)
O LCG final da condição de lotação dos conveses não representa o cálculo dos
valores indicados e nem uma aproximação.
A tabela do engenheiro é:
Conveses Lotação Peso LCG VCG TCG
Convés Sup. 110,00 8,25 7,72 3,40 1,00
Convés Inf. 50,00 3,75 9,85 1,40 0,76
Totais: 160,00 12,00 8,25 2,78 0,93
Mesmo se alterássemos os valores para o menor valor possível de um arredondamento
numérico, teríamos a seguinte tabela com 3 casa decimais:
Conveses Lotação Peso LCG VCG TCG
Convés Sup. 110,00 8,250 7,715 3,40 1,00
Convés Inf. 50,00 3,750 9,845 1,40 0,76
Totais: 160,00 12,00 8,38 2,78 0,93
Portanto, não encontramos justificativas lógicas para o valor indicado pelo engenheiro.
A tabela final foi considera com o cálculo de acordo com os valores indicados, tornando o
LCG final igual ao expresso na tabela abaixo:
➢ VCG da Bagagem (pag 6 do documento “Estudo de Estabilidade Definitivo”)
O centro de gravidade vertical, ou seja, a distância do centro à linha de base da
embarcação foi considerado como sendo Z = 1,0 m (Pag. 6 do documento “Estudo de
Estabilidade Definitivo”).
Porém, se as bagagens forem calculadas como no convés em que se encontra o
passageiro, ou seja, numa relação de 1 para 1, indicando a bagagem estando junto ou
próxima ao dono, teremos o seguinte resultado:
110 passageiros no convés superior = 110 bagagens no convés superior 50 passageiros no
convés inferior = 50 bagagens no convés inferior
O valor de cada bagagem de acordo com a Norma é = 25 Kg = 0,025 t
O convés superior se encontra em altura Z = 2,40 m *(Não de acordo com o desenho,
apenas cálculo do engenheiro)
O convés inferior se encontra em altura Z = 0,40 m *(Não de acordo com o desenho,
apenas cálculo do engenheiro)
Conveses Lotaçã Peso LCG VCG TCG
Convés Sup. 110,00 8,250 7,720 3,40 1,00
Convés Inf. 50,00 3,750 9,850 1,40 0,76
Totais: 160,00 12,00 8,39 2,78 0,93
-A- 17 -
*Obs: A posição vertical do CG considerada (2,40 e 0,40) foi calculada pelo engenheiro,
porém na correção nível II, mais adiante, foi calculada e corrigida pela perícia.
Portanto, tem-se a seguinte expressão e valor final do VCG das bagagens:
100 X 0,025 X 2,40 + 50 X 0,025 X 0,40
VCG = 160 X 0,025
* VCG = 1,775 m
➢ TCG do T.O.D (tanque de óleo diesel) – (Não calculado no documento)
De acordo com a documentação apresentada ao órgão responsável há, no arranjo geral,
um tanque de óleo diesel (T.O.D.) deslocado da linha de centro. Seu peso é calculado
pelo engenheiro e o momento longitudinal, porém é desprezado o momento transversal
causador de banda e facilitador de adernamento para o bordo em questão.
Peso = 0,33 t LCG = 15,02 m
VCG = 1,30 m
TCG = 0,0675 m (Calculado pelo desenho em escala)
Portanto, a condição final corresponde a:
Item Peso (t) Kg MV LCG ML TCG MT
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustível 0,332 1,300 0,432 15,020 4,987 0,068 0,022
Água 0,300 1,300 0,390 14,120 4,236 0,000 0,000
Passageiros 12,000 2,780 33,360 8,250 99,000 0,000 0,000
Tripulantes 0,400 2,700 1,080 15,100 6,040 0,000 0,000
Bagagem 4,000 1,775 7,100 8,250 33,000 0,000 0,000
Lastro 0,000 0,000 0,000 0,000 0,000 0,000 0,000
Motorização 0,500 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,002 1,628 89,538 8,633 474,849 0,000 0,022
A distância transversal do centro de gravidade da concentração de passageiros no mesmo
bordo Yc foi utilizada a do engenheiro e não foi corrigida.
Yc = 0,930 m.
-A- 18 -
2.3.1. Características Hidrostáticas da condição de equilíbrio Dados Hidrostáticos
Valor
Draft Amidsh. m 1.059
Displacement tonne 55.00
Heel to Starboard degrees 0.0
Draft at FP m 1.075
Draft at AP m 1.044
Draft at LCF m 1.058
Trim (+ve by stern) m -0.031
WL Length m 18.33
WL Beam m 4.955
Wetted Area m^2 85.78
Waterpl. Area m^2 71.63
Prismatic Coeff. 0.727
Block Coeff. 0.552
Midship Area Coeff. 0.767
Waterpl. Area Coeff. 0.788
LCB from Amidsh. (+ve fwd) m -0.340
LCF from Amidsh. (+ve fwd) m -0.624
KB m 0.643
KG fluid m 1.628
BMt m 2.097
BML m 27.81
GMt m 1.112
GML m 26.83
KMt m 2.740
KML m 28.46
Immersion (TPc) tonne/cm 0.734
MTc tonne.m 0.822
RM at 1deg = GMt.Disp.sin(1) tonne.m
1.068
Max deck inclination deg 0.1
Trim angle (+ve by stern) deg -0.1
-A- 19 -
2.3.2. Gráfico da Curva do Braço de Restauração
Ângulo de Equilíbrio com o Momento = 10,7 º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 30,1 º
-A- 20 -
2.3.3. Resultados dos Critérios
Critérios Valor Unidade Encontrado Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.0 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.112 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.257 Aprovado Valores intermediários Ângulo de ocorrência GZ máximo graus 18.2
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 67.7 Aprovado
Ângulo de Imersão de Convés
graus 9.2
Critério de Ângulo de Equilíbrio sob Momentos:
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 10.7 Aprovado Valores intermediários Amplitude do braço de emborcamento m 0.203
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.0 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 0.8 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 77,085% Reprovado
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores
muito irrisórios, principalmente se comparados com o momento causado pelo
acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa
que a embarcação não tem energia suficiente para endireitar ao ser aplicada força
externa proporcional ao acúmulo de passageiros em um dos bordos.
-A- 21 -
2.4. Correções Nível I (Com lastro)
Adicionamos nesta análise o valor referente aos lastros encontrados Portanto, a
condição do Nível I com lastro corresponde a:
Item Peso (t) Kg (m) MV (t.m) LCG (m) ML (t.m) TCG (m) MT (t.m.)
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustíve 0,332 1,300 0,432 15,020 4,987 0,068 0,022
Água 0,300 1,300 0,390 14,120 4,236 0,000 0,000
Passageiro 12,000 2,780 33,360 8,250 99,000 0,000 0,000
Tripulantes 0,400 2,700 1,080 15,100 6,040 0,000 0,000
Bagagem 4,000 1,775 7,100 8,250 33,000 0,000 0,000
Lastro 0,100 2,150 0,215 14,000 1,400 1,300 0,130
Lastro PM 0,300 0,700 0,210 2,695 0,809 1,090 0,327
Motorização 0,500 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,402 1,624 89,963 8,611 477,058 0,009 0,479
A distância transversal do centro de gravidade da concentração de passageiros no
mesmo bordo Yc foi utilizada a do engenheiro e não foi corrigida.
Yc = 0,930 m.
- A-22 -
2.4.1. Características Hidrostáticas da condição de equilíbrio
Dados Hidrostáticos Valor
Draft Amidsh. m 1.064
Displacement tonne 55.4
Heel to Starboard degrees 0.47
Draft at FP m 1.073
Draft at AP m 1.056
Draft at LCF m 1.064
Trim (+ve by stern) m -0.017
WL Length m 18.342
WL Beam m 4.955
Wetted Area m^2 86.032
Waterpl. Area m^2 71.751
Prismatic Coeff. 0.727
Block Coeff. 0.556
Midship Area Coeff. 0.769
Waterpl. Area Coeff. 0.789
LCB from Amidsh. (+ve fwd) m -0.363
LCF from Amidsh. (+ve fwd) m -0.635
KB m 0.646
KG fluid m 1.624
BMt m 2.086
BML m 27.742
GMt m 1.108
GML m 26.764
KMt m 2.732
KML m 28.388
Immersion (TPc) tonne/cm 0.736
MTc tonne.m 0.826
RM at 1deg = GMt.Disp.sin(1) 1.072
Max deck inclination deg 0.5
Trim angle (+ve by stern) deg -0.1
2.4.2. Gráfico da Curva do Braço de Restauração
- A- 23-
Ângulo de Equilíbrio com o Momento = 11,2 º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 29,2 º
2.4.3. Resultados dos Critérios
-A- 24 -
Critérios Valor Unidade Encontrado Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.5 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.107 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.246 Aprovado
Valores intermediários Angulo de ocorrência GZ máximo graus 18.2
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 65.9 Aprovado
Ângulo de Imersão de Convés
graus 9.1
Critério de Ângulo de Equilíbrio sob Momentos:
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 11.3 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.201
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.4 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 1.3 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 62,092% Reprovad
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores
muito irrisórios, principalmente se comparados com o momento causado pelo
acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa
que a embarcação não tem energia suficiente para endireitar ao ser aplicada força
externa proporcional ao acúmulo de passageiros em um dos bordos.
-A- 25 -
2.5. Correções Nível II (Sem lastro)
Na correção Nível I do tópico anterior, foi assumido que o engenheiro havia calculado
corretamente o CG pelo programa indicado na documentação, exceto pelo erro
verificado em um dos cálculos.
Neste tópico calculamos o CG resultante dos passageiros através do programa
Solidworks (pelo cálculo do centroide de área), do documento do arranjo geral
(medições em escala) e Microsoft Excel (pelo cálculo de média ponderada) e foram
encontrados valores totalmente diferentes dos apresentados pelo engenheiro.
Os passageiros foram distribuídos priorizando a ocupação mais afastada da linha de centro.
Onde havia lugar para o passageiro ficar sentado foi assumido que este ficaria sentado.
Onde havia área disponível para ficar em pé esse foi assumido como de pé, uniformemente distribuído como uma “nuvem de densidade uniforme de 4p/m²”.
Conforme as imagens e cálculos nas páginas que se seguem:
➢ 73 em pé no Convés Principal:
-A- 26 -
LCG = 7,003 m
TCG = 0,927 m
VCG = 3,45 m
-A- 27 -
➢ 37 Passageiros sentados no Convés Principal:
LCG = 6,602 m
TCG = 1,342 m
VCG = 3,25 m
-A- 28 -
➢ 34 passageiros em pé no Convés Inferior:
LCG = 9,588 m
TCG = 1,151 m
VCG = 1,50 m
-A- 29 -
➢ 16 Passageiros sentados no Convés Inferior:
LCG = 8,979 m
TCG = 1,838 m
VCG = 1,30 m
-A- 30 -
Resultado final do CG dos Passageiros
LC Qnt Pes Ponto Massa LCG Final
Convés Principal
(em pé) 73 5,4 7,003 12,0 7,657
(sentado) 37 2,7 6,602
Convés Inferior (em pé) 34 2,5 9,588
(sentado) 16 1,2 8,979
TCG
Qnt
Pes
Ponto
Massa
TCG Final
Convés Principal
(em pé) 73 5,4 0,927 12,0 1,162
(sentado 37 2,7 1,342
Convés Inferior (em pé) 34 2,5 1,151
(sentado 16 1,2 1,838
VCG
Qnt
Pes
Ponto
Massa
VCG Final
Convés Principal
(em pé) 73 5,47 3,450 12,0 2,774
(sentado )
37 2,77 5
3,250
Convés Inferior (em pé) 34 2,55 1,500
(sentado 16 1,2 1,300
Os tripulantes e suas bagagens:
= 3,50 m
Portanto a condição final da embarcação ficou conforme tabela abaixo:
Item Peso Kg MV (t.m) LCG ML (t.m) TCG MT (t.m.)
Navio 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustív 0,33 1,300 0,432 15,020 4,987 0,068 0,022
Água 0,30 1,300 0,390 14,120 4,236 0,000 0,000
Passageir 12,000 2,774 32,208 7,657 92,100 0,000 0,000
Tripulante 0,40 3,500 1,080 15,100 6,040 0,000 0,000
Bagagem 4,00 1,841 7,100 8,250 33,000 0,000 0,000
Lastro 0,00 0,000 0,000 0,000 0,000 0,000 0,000
Motorizaçã 0,50 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,002 1,631 90,050 8,508 467,949 0,000 0,022
*Obs: O TCG dos passageiros é utilizado na fórmula do momento de emborcamento devido ao Acúmulo de passageiros.
4 X 0,075 X 3,75 + 4 X 0,025 X 2,75
VCG = 4 x 01
-A- 31 -
2.5.1. Características Hidrostáticas da condição de equilíbrio
Dados Hidrostáticos Valor
Draft Amidsh. m 1.056
Displacement tonne 55
Heel to Starboard degrees 0
Draft at FP m 1.030
Draft at AP m 1.082
Draft at LCF m 1.058
Trim (+ve by stern) m 0.052
WL Length m 18.34
WL Beam m 4.955
Wetted Area m^2 85.90
Waterpl. Area m^2 71.90
Prismatic Coeff. 0.727
Block Coeff. 0.553
Midship Area Coeff. 0.768
Waterpl. Area Coeff. 0.791
LCB from Amidsh. (+ve fwd) m -0.470
LCF from Amidsh. (+ve fwd) m -0.663
KB m 0.643
KG fluid m 1.637
BMt m 2.104
BML m 28.14
GMt m 1.110
GML m 27.15
KMt m 2.747
KML m 28.79
Immersion (TPc) tonne/cm 0.737
MTc tonne.m 0.832
RM at 1deg = GMt.Disp.sin(1) tonne.m 1.066
Max deck inclination deg 0.2
Trim angle (+ve by stern) deg 0.2
2.5.2. Gráfico da Curva do Braço de Restauração
-A- 32 -
Ângulo de Equilíbrio com o Momento = 14,9º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 23,9º
-A- 33 -
2.5.3. Resultados dos Critérios
Critérios Valor Unidad Encontrad Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.0 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.110 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.255 Aprovado
Valores intermediários Ângulo de ocorrência GZ máximo graus 18.2
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 64.6 Aprovado
Ângulo de Imersão de Convés
graus 9.2
Critério de Ângulo de Equilíbrio sob
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 14.9 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.253
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.0 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 0.8 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 5,105% Reprovado*
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores muito irrisórios,
principalmente se comparados com o momento causado pelo acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa que a
embarcação não tem energia suficiente para endireitar ao ser aplicada força externa proporcional ao
acúmulo de passageiros em um dos bordos.
- A-34 -
2.6. Correções Nível II (Com lastro)
Realizando todas as correções do Nível II anterior e adicionando posições conforme o arranjo geral
do lastro solto encontrado em perícia.
Os dados utilizados foram:
Item Peso (t) Kg (m) MV (t.m) LCG (m) ML (t.m) TCG (m) MT (t.m.)
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustíve 0,332 1,300 0,432 15,020 4,987 0,068 0,022
Água 0,300 1,300 0,390 14,120 4,236 0,000 0,000
Passageiro 12,000 2,780 33,360 8,250 99,000 0,000 0,000
Tripulantes 0,400 3,500 1,080 15,100 6,040 0,000 0,000
Bagagem 4,000 1,775 7,100 8,250 33,000 0,000 0,000
Lastro 0,100 2,150 0,323 14,000 2,100 1,300 0,195
Lastro PM 0,300 0,700 0,210 2,695 0,809 1,090 0,327
Motorização 0,500 0,677 0,339 4,844 2,422 0,000 0,000
Total 55,402 1,612 89,331 8,486 470,163 0,010 0,566
- A-35 -
2.6.3. Características Hidrostáticas da condição de equilíbrio
Dados Hidrostáticos Valor
Draft Amidsh. m 1.061
Displacement tonne 55.4
Heel to Starboard degrees 0.51
Draft at FP m 1.028
Draft at AP m 1.094
Draft at LCF m 1.064
Trim (+ve by stern) m 0.066
WL Length m 18.34
WL Beam m 4.955
Wetted Area m^2 86.16
Waterpl. Area m^2 72.01
Prismatic Coeff. 0.728
Block Coeff. 0.552
Midship Area Coeff. 0.769
Waterpl. Area Coeff. 0.792
LCB from Amidsh. (+ve fwd) m -0.493
LCF from Amidsh. (+ve fwd) m -0.673
KB m 0.646
KG fluid m 1.612
BMt m 2.093
BML m 28.06
GMt m 1.127
GML m 27.09
KMt m 2.739
KML m 28.70
Immersion (TPc) tonne/cm 0.738
MTc tonne.m 0.836
RM at 1deg = GMt.Disp.sin(1) tonne.m 1.09
Max deck inclination deg 0.6
Trim angle (+ve by stern) deg 0.2
2.6.4. Gráfico da Curva do Braço de Restauração
- A-36 -
Ângulo de Equilíbrio com o Momento = 15,6º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 23,3º
2.6.5. Resultados dos Critérios
-A- 37 -
Critérios Valor Unidad Encontrad Situação
Ângulo de Equilíbrio Inicial Não deve ser inferior a (<=) 15.0 graus 0.5 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.125 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.249 Aprovado
Valores intermediários Ângulo de ocorrência GZ máximo graus 18.2
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 63.7 Aprovado
Ângulo de Imersão de Convés
graus 9.0
Critério de Ângulo de Equilíbrio sob
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 15.6 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.252
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.5 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 1.3 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 3,183% Reprovado*
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % * Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores muito irrisórios,
principalmente se comparados com o momento causado pelo acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa que a
embarcação não tem energia suficiente para endireitar ao ser aplicada força externa proporcional ao
acúmulo de passageiros em um dos bordos.
-A- 38 -
2.7. Resumo da Condição A
Critério Requisito Sem
correções Com lastro
Correções N1 (sem lastro)
Correções N2 (sem lastro)
Correções N1 com lastro
Correções N2 com lastro
Ângulo de Equilíbrio
>15º 0,0 0,4 0,0 0,0 0,5 0,5
Altura Metacêncitrica
>0.35 1,168 1,163 1,112 1,110 1,107 1,125
Braço de Endireitamen to Máximo
>0.1
0,275
0,264
0,257
0,255
0,246
0,249
Ângulo de Alagamento
>25º 66,7º 65,9º 67,7º 64,6º 65,9º 63,7º
Ângulo de Imersão do
9,2º 9,1º 9,2º 9,2º 9,1º 9,0º
Ângulo de Equilíbrio com o
Momento de Acúmulo de
<15º
10,1º
10,5º
10,7º
14,9º
11,3º
15,6º
Ângulo de Equilíbrio com o
Momento de
<15º
≈1º
≈1º
≈1º
≈1º
≈1º
≈1º
Ângulo de Equilíbrio com o
Momento de
<15º
≈1º
≈1º
≈1º
≈1º
≈1º
≈1º
Área sob as curvas de
Momento de Acúmulo de
>100%
123%
106,7%
Reprovado
77,09%
Reprovado
5,10%
Reprovado
62,10%
Reprovad
o 3,18%
Área sob as curvas de
Momento de
>100%
455,50%
**Aprovado
**Aprovado
**Aprovado
**Aprovado
**Aprovad
o
Área sob as curvas de
Momento de
>100%
**Aprovado
**Aprovado
**Aprovado
**Aprovado
**Aprovado
**Aprovad
o
Os valores aprovados com “**” indicam que a análise foi feita graficamente e que eles não
apresentavam riscos de Reprovação. Pode-se notar nos gráficos da condição A (sem correção) que
a interseção dos gráficos ocorre em ângulos muito pequenos e a área consequentemente também e
essa situação se repete para as demais condições.
São considerados aprovados os ângulos de equilíbrio devido ao momento de acúmulo de
passageiros com valores abaixo de 15 graus de inclinação transversal, mesmo apresentando valores
maiores que os ângulos de imersão do convés, pois acima do valor do pontal de 1,45 metros ainda
há uma continuação do costado até as janelas laterais, cuja parte inferior a água atinge quando a
embarcação inclina 15 graus transversalmente, conforme a modelagem do casco.
- A-39 -
3. Condição do Acidente (100-20)
Com base em informações periciadas evidenciou-se que durante o acidente havia uma
quantidade de pessoas à bordo inferior à capacidade total projetada. Essa quantidade era
equivalente a 120 pessoas e a distribuição destes correspondia à 100 passageiros no
convés superior e 20 passageiros no convés inferior.
Os passageiros foram distribuídos priorizando a ocupação mais usual e afastada da linha
de centro. Onde havia lugar para o passageiro ficar sentado foi assumido que este ficaria
sentado.
Onde havia área disponível para ficar em pé esse foi assumido como de pé,
uniformemente distribuído como uma “ nuvem de densidade uniforme 4p/m² ”.
Os tripulantes foram assumidos na cabine de comando com sua posição determinada com
base no desenho em escala apresentado pelo engenheiro à Marinha.
Conforme seguem as imagens e cálculos nas páginas que se seguem:
- A-40 -
➢ 72 Passageiros em pé no Convés Principal
LCG = 7,009 m
TCG = 0,939 m
VCG = 3,45 m
24 Passageiros sentados no Convés Principal
- A-41 -
LCG = 6,911 m
TCG = 1,628 m
VCG = 3,25 m
➢ 06 Passageiros em pé no Convés Inferior
- A-42 -
LCG = 9,400 m
TCG = 1,723 m
VCG = 1,50 m
➢ 14 Passageiros sentados no Convés Inferior
- A-43 -
LCG = 9,318 m
TCG = 1,961 m
VCG = 1,30 m
Resultado final do CG dos passageiros
- A-44 -
LCG Qnt Peso Ponto Massa Total LCG Final
Convés Principal (pé) 72 5,4 7,009 8,7 7,377
(sentado) 24 1,8 6,843
Convés Inferior (pé) 6 0,45 9,400
(sentado) 14 1,05 9,318
TCG Qnt Peso Ponto Massa Total TCG Final
Convés Principal (pé) 72 5,4 0,939 8,7 1,270
(sentado) 24 1,8 1,748
Convés Inferior (pé) 6 0,45 1,723
(sentado) 14 1,05 1,961
VCG Qnt Peso Ponto Massa Total VCG
Convés Principal (pé) 72 5,4 3,450 8,7 3,048
(sentado) 24 1,8 3,250
Convés Inferior (pé) 6 0,45 1,500
(sentado) 14 1,05 1,300
O VGC das bagagens dos passageiros será diferente devido ao quantitativo de pessoas à bordo:
= 2,114 m
O VCG dos tripulantes e suas bagagens corresponde ao cálculo que segue:
= 3,500 m
Realizando todas as correções e adicionando o lastro encontrado em perícia podemos simular a
condição da embarcação no momento do acidente e avaliar sua estabilidade, tal como, a resistência
ao emborcamento.
96 X 0,025 X 2,45 + 20 X 0,025 X 0,50
VCG = 116 x 0,025
0,1 X 2,75 + 0,3 X 3,75
VCG = 0,4
- A-45 -
Item Peso (t) Kg (m) MV (t.m) LCG (m) ML (t.m) TCG (m) MT (t.m.)
Navio Leve 37,470 1,250 46,838 8,678 325,165 0,000 0,000
Combustíve 0,332 1,300 0,432 15,020 4,987 0,068 0,022
Água 0,300 1,300 0,390 14,120 4,236 0,000 0,000
Passageiro 8,700 3,057 28,493 7,000 60,900 0,000 0,000
Tripulantes 0,400 3,500 0,275 15,100 1,510 0,000 0,000
Bagagem 2,900 2,114 6,130 8,250 23,925 0,000 0,000
Lastro 0,100 2,150 0,215 14,000 1,400 1,300 0,130
Lastro ré 0,300 0,700 0,210 2,712 0,814 1,379 0,414
Motorizaçã 0,500 0,677 0,339 4,844 2,422 0,000 0,000
Total 51,002 1,666 84,945 8,492 433,124 0,011 0,566
O TCG dos passageiros equivale à Yc = 1,270 m.
3.5.3. Características Hidrostáticas da condição de equilíbrio
- A-46 -
Dados Hidrostáticos Valor
Draft Amidsh. m 1.001
Displacement tonne 51
Heel to Starboard degrees 0.45
Draft at FP m 0.966
Draft at AP m 1.036
Draft at LCF m 1.004
Trim (+ve by stern) m 0.070
WL Length m 18.31
WL Beam m 4.944
Wetted Area m^2 83.59
Waterpl. Area m^2 71.20
Prismatic Coeff. 0.724
Block Coeff. 0.540
Midship Area Coeff. 0.756
Waterpl. Area Coeff. 0.786
LCB from Amidsh. (+ve fwd) m -
LCF from Amidsh. (+ve fwd) m -
KB m 0.613
KG fluid m 1.617
BMt m 2.234
BML m 29.66
GMt m 1.230
GML m 28.66
KMt m 2.847
KML m 30.27
Immersion (TPc) tonne/cm 0.730
MTc tonne.m 0.814
RM at 1deg = GMt.Disp.sin(1) 1.094
Max deck inclination deg 0.5
Trim angle (+ve by stern) deg 0.2
3.5.4. Gráfico da Curva do Braço de Restauração
- A-47 -
- 49 -
Ângulo de Equilíbrio com o Momento = 11,3º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 33,1º
3.5.5. Resultados dos Critérios
- A-48 -
Critérios Valor Unidad Encontrad Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.5 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.226 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.292 Aprovado
Valores intermediários Ângulo de ocorrência GZ máximo graus 19.5
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 69.5 Aprovado
Ângulo de Imersão de Convés Não deve ser superior a (<=) 15.0 graus 10.4 Aprovado
Critério de Ângulo de Equilíbrio sob
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 11.3 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.224
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.4 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 1.3 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 97.917 Reprovado*
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % *** Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % *** Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores muito irrisórios,
principalmente se comparados com o momento causado pelo acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa que a
embarcação não tem energia suficiente para endireitar ao ser aplicada força externa proporcional ao
acúmulo de passageiros em um dos bordos.
- A-49 -
4. Condição do Acidente (100-20)
Nesta análise do acidente iremos efetuar mais uma simulação do arranjo do acúmulo de
passageiros em um dos bordos da embarcação durante o acidente, assim como se
estivéssemos projetando a embarcação para 120 passageiros.
O engenheiro, em um projeto ou alteração, para determinar a lotação de uma embarcação
deve analisar mais de um caso de distribuição para respeitar o preconizado pela
NORMAM onde enuncia que o engenheiro deverá apresentar a condição mais agravante.
NORMAM-02/DPC – 0635 Condições de Carregamento – b) Embarcações de passageiros – 6)
“Os passageiros sem suas bagagens devem ser considerados distribuídos de forma
a produzir a mais desfavorável combinação que pode ser verificada na prática para o
momento emborcador devido ao agrupamento de passageiros em um bordo e ou
posição vertical do centro de gravidade na condição.”
Portanto, a distribuição dos passageiros a bordo corresponde a 100 pessoas no convés
superior e 20 pessoas no convés inferior.
Em que simulou a situação de 68 passageiros em pé e 28 sentadas no convés principal, e,
6 em pé e 14 sentados no convés inferior e com os 04 tripulantes na cabine de comando.
Conforme seguem as imagens e cálculos nas páginas que se seguem:
68 passageiros em pé no convés principal
- A-50 -
LCG = 7,038 m
TCG = 0,987 m
VCG = 3,450 m
28 pessoas sentadas no convés principal
- A-51 -
LCG = 6,830 m
TCG = 1,623 m
VCG = 3,250 m
➢ 06 Passageiros em pé no Convés Inferior
- A-52 -
LCG = 9,400 m
TCG = 1,723 m
VCG = 1,50 m
- A-53 -
➢ 14 Passageiros sentados no Convés Inferior
LCG = 9,318 m
TCG = 1,961 m
VCG = 1,30 m
- A-54 -
Resultado final do CG dos passageiros
LCG Qnt Peso Ponto Massa LCG
Convés Principal
(pé) 68 5,1 7,038 8,7 7,385
(sentado 28 2,1 6,830
Convés Inferior (pé) 6 0,45 9,400
(sentado 14 1,05 9,318
TCG Qnt Peso Ponto Massa TCG
Convés Principal
(pé) 68 5,1 0,987 8,7 1,293
(sentado 28 2,1 1,623
Convés Inferior (pé) 6 0,45 1,723
(sentado 14 1,05 1,931
VCG Qnt Peso Ponto Massa VCG
Convés Principal
(pé) 68 5,1 3,450 8,7 3,041
(sentado 28 2,1 3,250
Convés Inferior (pé) 6 0,45 1,500
(sentado 14 1,05 1,300
O VGC das bagagens dos passageiros será:
= 2,114 m
O VCG dos tripulantes e suas bagagens corresponde a:
= 3,500 m
96 X 0,025 X 2,45 + 20 X 0,025 X 0,50
VCG = 116 x 0,025
0,1 X 2,75 + 0,3 X 3,75
VCG = 0,4
- A-55 -
Realizando todas as correções e adicionando o lastro encontrado em perícia podemos simular a
condição da embarcação no momento do acidente e avaliar sua estabilidade, tal como, a resistência
ao emborcamento.
Item Peso Kg MV LCG ML TCG MT
Navio 37,470 1,250 46,838 8,678 325,16 0,000 0,000
Combustív 0,33 1,300 0,432 15,02 4,987 0,068 0,022
Água 0,30 1,300 0,390 14,12 4,236 0,000 0,000
Passageir 8,70 3,041 26,460 7,385 64,252 0,000 0,000
Tripulante 0,40 3,500 1,400 15,10 6,040 0,000 0,000
Bagagem 2,90 2,114 6,131 8,250 23,925 0,000 0,000
Lastro 0,10 2,150 0,215 14,00 1,400 1,300 0,130
Lastro ré 0,30 0,700 0,210 2,712 0,814 1,379 0,414
Motorizaçã 0,50 0,677 0,339 4,844 2,422 0,000 0,000
Total 51,002 1,616 82,413 8,495 433,24 0,011 0,566
O TCG dos passageiros equivale à Yc = 1,293 m.
4.5.3. Características Hidrostáticas da condição de equilíbrio
- A-56 -
Dados Hidrostáticos Valor
Draft Amidsh. m 1.001
Displacement tonne 51
Heel to Starboard degrees 0.45
Draft at FP m 0.967
Draft at AP m 1.035
Draft at LCF m 1.004
Trim (+ve by stern) m 0.069
WL Length m 18.31
WL Beam m 4.944
Wetted Area m^2 83.59
Waterpl. Area m^2 71.20
Prismatic Coeff. 0.724
Block Coeff. 0.540
Midship Area Coeff. 0.756
Waterpl. Area Coeff. 0.786
LCB from Amidsh. (+ve fwd) m -0.484
LCF from Amidsh. (+ve fwd) m -0.629
KB m 0.613
KG fluid m 1.616
BMt m 2.234
BML m 29.66
GMt m 1.230
GML m 28.65
KMt m 2.846
KML m 30.27
Immersion (TPc) tonne/cm 0.730
MTc tonne.m 0.814
RM at 1deg = GMt.Disp.sin(1) tonne.m 1.095
Max deck inclination deg 0.5
Trim angle (+ve by stern) deg 0.2
4.5.4. Gráfico da Curva do Braço de Restauração
- A-57 -
Ângulo de Equilíbrio com o Momento = 11,6º
Ângulo de Perda de Estabilidade (Vanishing Stability) = 32,8º
4.5.5. Resultados dos Critérios
- A-58 -
Critérios Valor Unidade Encontrado Situação
Ângulo de Equilíbrio Inicial Não deve ser superior a (<=) 15.0 graus 0.5 Aprovado
Altura Metacêntrica no Ângulo de Equilíbrio (GMt) Ângulo de equilíbrio 0.3 graus Não deve ser inferior a (>=) 0.350 m 1.227 Aprovado
Braço de Endireitamento Máximo (GZ máximo) Não deve ser inferior a (>=) 0.100 m 0.292 Aprovado
Valores intermediários Ângulo de ocorrência GZ máximo graus 19.5
Ângulo de Alagamento Progressivo Não deve ser inferior a (>=) 25.0 graus 69.5 Aprovado
Ângulo de Imersão de Convés Não deve ser superior a (<=) 15.0 graus 10.4 Aprovado
Critério de Ângulo de Equilíbrio sob
Momento de Acúmulo de Passageiro Não deve ser superior a (<=) 15.0 graus 11.6 Aprovado
Valores intermediários Amplitude do braço de emborcamento m 0.228
Momento de Guinada Não deve ser superior a (<=) 15.0 graus 1.4 Aprovado
Momento do Vento (1) + Momento do Vento (2) Não deve ser superior a (<=) 15.0 graus 1.3 Aprovado
Critério de Áreas sob Momentos :
Momento de Acúmulo de Passageiro Area1 / Area2 não deve ser inferior a (>=) 100 % 88.711 Reprovad
Momento de Guinada Area1 / Area2 não deve ser inferior a (>=) 100 % *** Aprovado
Momento do Vento (1) + Momento do Vento (2) Area1 / Area2 não deve ser inferior a (>=) 100 % *** Aprovado
Obs: Os valores em “*” indicam que não foram calculados por representarem valores muito irrisórios,
principalmente se comparados com o momento causado pelo acúmulo de passageiros.
** - Reprovado no critério de momento devido ao acúmulo de passageiros. Significa que a
embarcação não tem energia suficiente para endireitar ao ser aplicada força externa proporcional ao
acúmulo de passageiros em um dos bordos.
- A-59 -
Obs: Nas análises os tripulantes não contribuíram com o braço de emborcamento
durante o acúmulo no bordo, situando-se na cabine de comando junto com suas
bagagens, assim como fora indicado pelo Engenheiro na documentação “Estudo de
Estabilidade Definitivo”. Entretanto, este perito ressalva que durante um acidente, e com
base nos depoimentos, todos a bordo assim como suas bagagens soltas contribuem
para o momento de emborcamento após um determinado ângulo de banda.
***********************************************************************