624
The above model of the ship’s superstructure is
created on the base of real Ro‐Ro/ Passenger/ train
ship with the following main particulars, shown in
Table1.
Table1.Mainparticularsofpresentedship.
_______________________________________________
GrossCapacity32000RT
Maximumdisplacement18107T
Deadweight6855T
LengthOverall169.9m
Breadth28.0m
High42.3m
Maximumdraught6.2m
_______________________________________________
2 ANALYSEOFVERTICALMOMENTSDUETO
WINDPRESSURE
The model of ship superstructure, described in this
paperhasahugepartofship’shullabovethewater
level. For maximum draught, just 6.20 meters of
wholeheightoftheship’shull,issubmergedofwater.
At the same time
36.1 meters of the whole ship’s
heightisabovethe water level. This case presents a
good example of wind influence on a ship
superstructureduringthemanoeuvringsinrestricted
watersinsideharbours.
Thefollowingtablescontainthecalculationsofthe
windage areas and moments of wind pressure force
on
theshipforvariabledraughtsofanalysedmodelof
aship’ssuperstructure.
Table2. The results of wind pressure force for draught of
5.00m.
_______________________________________________
MOMENTDUETOWINDPRESSUREFORCEFOR
Draught:5.00m
_______________________________________________
Item Area Wind Wind VCG Vertical
pressure forcemoment
m²N/m² Tonnes m Ton.m
_______________________________________________
Areano.1 1486.80 120.00 18.19 8.08 146.95
Areano.2 1533.30 120.00 18.76 18.15 340.42
Areano.3 148.80 120.00 1.82 28.20 51.33
Areano.4 286.50 120.00 3.50 26.06 91.33
Areano.5 50.50 120.00 0.62 26.60 16.43
Areano.6 194.50 120.00 2.38 3.10 7.38
_______________________________________________
Windage 3700.40 120.00 45.27 14.44 653.84
area
_______________________________________________
DISPLACEMENTFORDRAUGHT5.00m 13667.00Tons
_______________________________________________
The single areas, as a basic elements of complete
windage area of the analysed ship’s superstructure
arepresentedinFigure2.
Figure2. The elements of ship’s windage area, as per
calculationsmadeinTables2‐4.
Inrealconditionsthewholewindageareaisgoing
to be calculated as the sum of several geometrical
areasoftheshipsuperstructure,and,inmanyreasons
also the cargo on deck. The above effect has been
puttedonviewinpresentedTables.
Areano.1reflectsvolumeofthemainship’s
hull,
anddoesnotdependondraught,keepingthevalueof
1486.80 square meters. Areas from No. 2 to No. 5
correspond the ship’s superstructure as
accommodations, and cargo decks (areas no. 2 and
No. 4), navigation bridge (area No.5), and funnel
(area No.3). The above areas have got still
the same
volumesof1533.3m²,286.5m²,50.5m²,and148.8m²,
respectively.Onlytheareano.6changesitsvolumein
function of the ship’s draught‐from 194.5 m² for
draught 5.00 m to 0.00 m² for maximum ship’s
draughtof6.20m.
Table3. The results of wind pressure force for draught of
5.50m.
_______________________________________________
MOMENTDUETOWINDPRESSUREFORCEFOR
Draught:5.50m
_______________________________________________
Item Area Wind Wind VCG Vertical
pressure forcemoment
m²N/m² Tons m Ton.m
_______________________________________________
Areano.1 1486.80 120.00 18.19 7.83 142.41
Areano.2 1533.30 120.00 18.76 17.90 335.73
Areano.3 148.80 120.00 1.82 27.95 50.87
Areano.4 286.50 120.00 3.50 25.81 90.45
Areano.5 50.50 120.00 0.62 26.35 16.28
Areano.6 112.60 120.00 1.38 3.10 4.27
_______________________________________________
Windage 3618.50 120.00 44.27 14.46 640.01
area
_______________________________________________
DISPLACEMENTFORDRAUGHT5.50m 15434.00Tons
_______________________________________________
Itshouldbenoted,thatincaseofpresentedtypeof
ships,likepassenger ships, or Ro‐Ro/passenger/train
ships, the draught is acting on windage area in
limitedway.Incaseofpresentedmodel,thewindage
areavariesfrom3700.4m²to3505.9m²,causingvery
smalldifferenceof
2.38tonsinwindforcepushingthe
ship.
The difference in windage areas:ΔA = 194.5 m²
multipliedbywindpressureP=120N/m²,andafter
that,dividedbythegravitationalaccelerationof9.81
m/s², is giving the value of wind force of 2.28 tons
only.
Theaboveisthe
proof,thatincaseofshipswitha
largewindage areas, getting of severalthousands of
squaremeters,theincreaseinship’sdraughtdoesnot
transpose in reduction of wind force or vertical
momentofwindpushingtheship.
When changing the draught, the different
moments of the wind pressure
force has to be
appeared. The said effect is described in Table 2 for
the ship’s draught of 5.00 meters, in Table 3 for the
ship’sdraughtof5.50meters, andinTable4forthe
ship’smaximumdraughtof6.20meters,respectively.