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International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06               23



          NUMERICAL MODELING FOR MARINE MOBILE
          FLOATING BERTHING PROTECTION FACILITIES
                           O.Sulaman, N. W. Sani, Ab. Saman, A. Azlan

           Department of Maritime Technology, Faculty of Maritime Studies & Marine Science,
                      Universiti Malaysia Terengganu, 21030 Kuala Terengganu,
                                        Terengganu, Malaysia


Abstract
          Port development work involves laborious activities and sub sequential use of large amount of
energy. Modular construction has facilitate labour require, energy usage, hence carbon footage has
gain approval of efficient product development in recent year. The use of such mobile equipments
equally gives advantage to port to reduce port traffic, safety preservation of environment reduction in
maintenance and berth allocation. Heavy seaborne traffic in port leads to the requirement of port
terminal development or improvement. Port terminal involved problem related to traffic and high cost.
The use of mobile floating protection facilities can offset this problem. The study involved design and
modeling of a safe loading and unloading facilities to ensure the smooth flow of the work and
reduction in the work delay. The berthing facility is moveable, floating structure that act as a protection
for ships berthing in port. The modeling involve design of that determine the safe berthing velocity and
, the berthing energy, environmental load (wind and current) and material which are the important
parameters for fender selection and to ensure that it is safe to carry out its function as loading and
unloading facilities. By using light weight less energy can be employ to build berth, and to conduct
berthing operation, and by providing safety the system can be provided discount for environmental
conservation. The result of this study hoped to improve safety and efficiency of the port operation in
handling of the ships entering and leaving the port. The model is designed for prototyping physical
system that can be use for experiments and commercialization.


Keywords: Mobile, Floating, Berthing Facilities, Berthing Energy, Port, Modular, Mobile, Port,
Safety, Light Weight




1. INTRODUCTION

Worldwide seaborne traffic at major ports is continually growing. This bring along
high demand for ships from shipbuilding companies and also jetty constructions. Port
operators need to enhance the facilities in the ports so that they can compete with the
other competitors. Due to the restriction of the capital to build the facilities that need
a lot of money for example jetty, berth required in order reducing the heavy seaborne
traffic which is a burden to the port owner. A cost effective way alleviate such burden
for port owner is to acquire floating pier which act as loading and unloading floating
pier. Floating piers are much less costly compare to building a jetty or berth. Marine
fenders are crucial to a ship berth. A proper fender design should effectively absorb
or dissipate the kinetic energy carried by a docking ship and thus mitigate the impact
force to a sustainable level [1]. Fender design normally involves extensive trade-offs
depending on the type, purpose, site, function, and operation concept of a berthing
facility. Standard fender design practice to date uses a nominal berthing energy
specified in terms of the displacement, approach speed, and attitude of docking ship.
This paper describes the result of numerical model for a mobile berthing and mooring
system. The study determines the safe berthing velocity, berthing energy and
environmental loading for ships at various displacements [2].


                            110301-06-8989 IJMME-IJENS © December 2011 IJENS
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International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06      24



 2. Mehodology

2.1 Berthing facility structure and barge particulars

Platform which is originated as a barge is design because it is a moveable and floating
structure which can be use anywhere and can be installed in anytime when needed. D-
type fender and Tee bollard are selected to use as the protection equipments for the
barge. General arrangement of the berthing facilities is drawn out by AutoCAD 2007
together with its relevant protection equipments.

Table 1: Barge particulars
                    Particular                                                Unit
   LOA                                                                       62.5 m
   Breadth                                                                   14.5 m
   Moulded depth                                                             3.5 m
   Depth                                                                     2.68 m
   Lightship                                                                383 tons
   Maximum Displacement                                                     2380 tons
   Minimum Draft                                                             0.52 m
   Maximum Draft                                                             2.68 m
   Capacity                                                                 2500 tons


2.2 Berthing energy and berthing velocity

The berthing energy is used to determine the most suitable fender for the berthing
facilities. The ships ranging from 1000-10000 tons in water displacement are
choosing as models of ships that berth at the facilities. As the ship is stopped by the
fender, the momentum of the entrained water continues to push against the ship and
this effectively increases its overall mass. The mass of specified water is called
Added Seawater Mass; the added seawater influence coefficient is called Cm [3].

The berthing velocity is obtained from actual measurements or relevant existing
statistic information. When the actual measured speed velocity is not available, the
BSI and PIANC etc. standard is adopted to determine the required velocity value [3].
The berthing energy was calculated by:




                                                                                            (1)
                         ߨ‫ߩ ܮ 2ܦ‬
                ‫+ 1 = ݉ܥ‬                                                                 (2)
                          4‫݀ܯ‬
                         110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                        IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06      25




                                                                                        (3)
                                      1
                      ‫= ݁ܥ‬
                                     ‫ܫ‬
                               1 + ( 2)
                                    ‫ݎ‬


2.3 Environmental loads on berthing facilities


Winds, currents, and waves produce dynamic loads on moored vessels due to waves
follows. Static loads due to wind and current are separated into longitudinal load,
lateral load, and yaw moment. The following formulas are used to determine the wind
and waves loads [3].

Table 2: Environmetal parameters Source: Tanjung Langsat Port, Pasir Gudang

Environmental Consideration

Wind                                                    Normal wind speed = 8m/sec

                                                        Extreme wind speed = 12m/sec

Waves                                                   Max wave height = 0.4m(for 12m/sec)

Current                                                 Slight change <0.1m/sec

Average water depth                                     12m

Average soil depth                                      9m



2.3.1 Lateral wind load and longitudinal wind load
Loads on moored vessels due to wind result primarily from drag. The general
equation used to determine lateral and longitudinal wind load are:


                                                                                              (4)


                                                                                              (5)




2.3.2 Lateral current load and longitudinal current load
Current loads developed on moored vessels result from form drag, friction drag, and
propeller drag. Lateral forces are dominated by form drag. Form drag is dependent
upon the ratio of vessel draft to water depth: as the water depth decreases, current

                         110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                       IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06    26



flows around rather than underneath the vessel. Longitudinal forces due to current are
caused by form drag, friction drag, and propeller drag[4]. The general equation used
to determine lateral and longitudinal current load are:



                                                                                            (6)


                                                                                            (7)




3. RESULTS AND DISCUSSION

3.1 Structure selection

General arrangement of the berthing facilities is drawn by AutoCAD 2007 and it has
the length of overall of 62.5m, breadth 14.5m, draft 3.5m. The wetted area of the
berthing facilities is 1212.98m2. The underwater volume is 2198.24m3.



Figure 1 shows General arrangement of the berthing facilities




                  Figure 1: General arrangement of berthing facilities




                          110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                      IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06             27



3.2 Berthing Energy

Results from the numerical model for the berthing velocity and berthing energy were
is shown in Table 3 and Table 4.Value of the berthing velocity for the ships berthing
at the berthing facilities varies from 1000 tons to 10000 tons of water displacement
were listed in Table 3.


                                   Table 3: Berthing Velocity
                    Water Displacement (tons)                     Berthing velocity (m/sec)
                                  1000                                     0.6667
                                  2000                                        0.5533
                                  3000                                        0.4940
                                  4000                                        0.4551
                                  5000                                        0.4267
                                  6000                                        0.4047
                                  7000                                        0.3868
                                  8000                                        0.3719
                                  9000                                        0.3592
                                 10000                                        0.3481


From Table 4, the ship berthing at the berthing facilities is ranging from 1000 to
10000 tons in water displacement. The highest speed value of the berthing velocity
occur when the 1000 tons displacement ship berthing at the berthing facilities which
is 0.6667 m/sec. The higher the value of water displacement of the ship, the lower the
value of berthing velocity. Figure 2 shows water displacement versus berthing
velocity. Figure 3 shows PIANC recommendation for berthing velocity.




                    0.8
            V       0.7
            e       0.6
                m
            l       0.5
                /
            o       0.4
                s
            c       0.3
                e                                                                             Berthing Velocity
            i
                c   0.2
            t
                    0.1
            y
                      0
                          0      2000       4000       6000       8000       10000 12000
                                        Water Displacement (tons)



             Figure 2: Graph water displacement versus berthing velocity

                          110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                                IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06           28




Figure 3: PIANC Standard for berthing velocity
a. Easy berthing (sheltered) b.dificult berthing (berthing) c. easy berthing (exposed, d. Good berthing
(exposed,) , Difficult berthing (exposed)



From Table 2, the ship berthing at the berthing facilities is ranging from 1000 to
10000 tons in water displacement. The highest value of the berthing energy occur
when the 2000 tons displacement ship berthing at the berthing facilities which is 94.1
ton.m (See Figure 4 ).


                                     Table 2: Berthing Energy
                                                           Berthing Energy
       Displacement                                      (ton.m)
           (Md)                                                                Maximum Load
                                                     Lightship
            1000                                      32.2873                       89.3095

            2000                                       25.8694                      94.0985

            3000                                       21.8085                      91.0958

            4000                                       19.0577                      86.6001

            5000                                       17.0567                      82.0414

            6000                                       15.5306                      77.8292

            7000                                       14.3121                      73.9820

            8000                                       13.3186                      70.5391

            9000                                       12.4891                      67.4507

           10000                                       11.7781                      64.6406




                           110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                              IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06                            29




                    Ship Displacem ent versus Berthing Energy
                    1 00

                     90
             B
             e       80
             r       70
             t
             h (     60
             i t
             n o     50
             g n                                                                                        L ightship
                     40
                .                                                                                       Max L oad
             E m
               )     30
             n
             e       20
             r
                     10
             g
             y        0
                           0          2000      40 0 0     6 00 0     8 0 00      1 00 0 0   1 2 00 0
                                                   Displacem ent (Md)




              Figure 4: Graph water displacement versus berthing energy


3.3 Environmental loadings on berthing facilities


 From Table 3, the wind angle is taken from 30o to 175o with the average 30o as
interval. The maximum lateral wind load occurs when the wind is extreme at 90o
which has the value of 3109.75 pounds. The maximum longitudinal wind load occurs
when the wind is extreme at 175o which has the value of 1500.52 pounds ( See Figure
5).

                                              Table 3. Wind load
Angle                                                 Wind Load
 (θ°)                                                  (pounds)
                           Lateral                              Longitudinal                             Yaw-
                                                                                                       moment
         Normal Wind              Extreme Wind               Normal Wind                Extreme Wind     (foot-
         (26.25ft/sec)             (39.37ft/sec)             (26.25ft/sec)               (39.37ft/sec)  pounds)
 30         691.05                   1554.87                   -579.75                     -1304.46    16330.99
 60        1196.94                   2693.12                   -334.72                      -753.12    17977.93
 90        1382.10                   3109.75                      0                            0        8856.29
 115       1252.61                   2818.39                    282.92                       636.57    -963.183
 145        792.74                   1783.67                    548.37                      1233.85    -7436.76
 175        120.45                    271.03                    666.89                      1500.52    -2167.43




                               110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                                             IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06          30




                          Angle versus Wind Load
            3500
        L   3000
        o   2500
        a   2000
        d   1500
   W                                                                                     Lat-N
        (




   i p      1000
                                                                                         Lat-E
   n o       500
   d u                                                                                   Long-N
                0
     n       -500 0              50                100                 150     200       Long-E
     d      -1000
     s
            -1500
        )




            -2000
                                             Wind Angle(°)




                      Figure 5. Graph wind angle versus wind load



                                      Table 4. Current load
Angle                                         Current Load
 (θ°)                                           (pounds)
                                      Lateral                                    Longitudinal

            Min       Yaw moment                Max           Yaw moment     Min draft   Max draft
            draft     (foot-pounds)             draft            (foot-
                                                                pounds)
 30          9.30        97.47                 56.17           689.4589       -0.76        -3.90
 60         16.11          0                   97.29               0          -0.44        -2.25
 90         18.60       -162.44                112.34          -1149.10         0            0
 115        16.85       -294.28                101.82          -2082.98        0.37        1.90
 145        10.67       -279.52                64.44           -1977.42       12.21        3.67
 175         1.60        -5.59                  9.79             -40.06        0.87        4.45

From Table 4, the current angle is taken from 30o to 175o with the average 30o as
interval. The maximum lateral current load occurs when the berthing facilities is in
maximum draft and have the current angle of 90o which has the value of 112.34
pounds. The maximum longitudinal current load occurs when the berthing facilities is
in minimum draft and have the current angle of 145o which has the value of 12.21
pounds (See figure 6).




                         110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                          IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06     31




                         Angle versus Current Load
          120
      L
          100
      o
    C a
            80
    u d
                                                                                  Lat-Min T
      (



    r       60
      p
    r                                                                             Lat-MaxT
      o
    e       40                                                                    Long-MinT
      u
    n
      n     20                                                                    Long-MaxT
    t
      d
      s      0
      )




.                0            50               100                150       200
           -20
                                        Current Angle(°)



                     Figure 6. Graph current angle versus current load

4. EQUIPMENTS SELECTION

Total Lateral load on berthing facilities is 3222.09 pounds, the total longitudinal load
on berthing facilities is 1512.73 pounds and the horizontal hawser load, H is 3559.52
pounds.

Fender selection

According to the British standard, the ultimate fender capacity is 2 X berthing
Energy. The maximum berthing energy occurs when the berthing facilities are in the
maximum load and the berthing ship is at 1000 tons displacement which has the value
of 89 ton.m. The fender capacity must be at least 2 x 89ton.m = 178 ton.m


Chain Selection
Approximate chain tension, T = 1.12 H (Horizontal Hawser Load) =
          = 3986.66 pounds
Maximum allowable working load,Tbreak
                    Tdesign = 0.35 Tbreak
          3986.66 pounds = 0.35 Tbreak
                   Tbreak = 11390.46 pounds
          * 1-inch chain with a breaking strength of 14,500 pounds

Anchor Selection
Required holding capacity = 3559.52 pounds
Seafloor type is sand
       Depth of sand = 30 feet
Anchor type is Stockless
              safe efficiency =4

                         110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                       IJENS
International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06        32



Holding capacity = efficiency x weight
       3559.52 = (4)(weight)
       Weight = 3559.52/4 =889.88pounds = 0.9 kips
Use 1,000-pound (1-kip) Stockless anchor


5. CONCLUSION

This paper presents numerical model for safe berthing and protection of mobile
floating berthing protection facilities. The berthing facilities can help to decrease the
heavy seaborne traffic and the cost of building an extra Jetty which may become a
burden to ports operator. Mobile berthing facilities can be installed anytime and
anywhere to help the port operator to save money and time. The model can be
improved as a working platform by simulation and prototyping for experiment that
can be used for further investigation.




REFERENCES

[1] You-Sheng Wu. (2001). Practical Design of Ships and Other Floating Structures.
           ELSEVIERAmsterdam.
[2] John H.Hansen (1978). Mobile Ship Loading and Unloading Facility.
           http://www.patentstorm.us/patents/4075860.pdf [Accessed 27 August 2009].
[3] J. P. Jones (2006).Fleet Moorings. Design of fleet mooring 110-135. Naval facilities Engineering
           Command.
[4] Bert J. Warner. (1989). Stable Floating pier. United State Patent Publication




                          110301-06-8989 IJMME-IJENS © December 2011 IJENS
                                                                                           IJENS

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NUMERICAL MODELING FOR MARINE MOBILE

  • 1. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 23 NUMERICAL MODELING FOR MARINE MOBILE FLOATING BERTHING PROTECTION FACILITIES O.Sulaman, N. W. Sani, Ab. Saman, A. Azlan Department of Maritime Technology, Faculty of Maritime Studies & Marine Science, Universiti Malaysia Terengganu, 21030 Kuala Terengganu, Terengganu, Malaysia Abstract Port development work involves laborious activities and sub sequential use of large amount of energy. Modular construction has facilitate labour require, energy usage, hence carbon footage has gain approval of efficient product development in recent year. The use of such mobile equipments equally gives advantage to port to reduce port traffic, safety preservation of environment reduction in maintenance and berth allocation. Heavy seaborne traffic in port leads to the requirement of port terminal development or improvement. Port terminal involved problem related to traffic and high cost. The use of mobile floating protection facilities can offset this problem. The study involved design and modeling of a safe loading and unloading facilities to ensure the smooth flow of the work and reduction in the work delay. The berthing facility is moveable, floating structure that act as a protection for ships berthing in port. The modeling involve design of that determine the safe berthing velocity and , the berthing energy, environmental load (wind and current) and material which are the important parameters for fender selection and to ensure that it is safe to carry out its function as loading and unloading facilities. By using light weight less energy can be employ to build berth, and to conduct berthing operation, and by providing safety the system can be provided discount for environmental conservation. The result of this study hoped to improve safety and efficiency of the port operation in handling of the ships entering and leaving the port. The model is designed for prototyping physical system that can be use for experiments and commercialization. Keywords: Mobile, Floating, Berthing Facilities, Berthing Energy, Port, Modular, Mobile, Port, Safety, Light Weight 1. INTRODUCTION Worldwide seaborne traffic at major ports is continually growing. This bring along high demand for ships from shipbuilding companies and also jetty constructions. Port operators need to enhance the facilities in the ports so that they can compete with the other competitors. Due to the restriction of the capital to build the facilities that need a lot of money for example jetty, berth required in order reducing the heavy seaborne traffic which is a burden to the port owner. A cost effective way alleviate such burden for port owner is to acquire floating pier which act as loading and unloading floating pier. Floating piers are much less costly compare to building a jetty or berth. Marine fenders are crucial to a ship berth. A proper fender design should effectively absorb or dissipate the kinetic energy carried by a docking ship and thus mitigate the impact force to a sustainable level [1]. Fender design normally involves extensive trade-offs depending on the type, purpose, site, function, and operation concept of a berthing facility. Standard fender design practice to date uses a nominal berthing energy specified in terms of the displacement, approach speed, and attitude of docking ship. This paper describes the result of numerical model for a mobile berthing and mooring system. The study determines the safe berthing velocity, berthing energy and environmental loading for ships at various displacements [2]. 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 2. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 24 2. Mehodology 2.1 Berthing facility structure and barge particulars Platform which is originated as a barge is design because it is a moveable and floating structure which can be use anywhere and can be installed in anytime when needed. D- type fender and Tee bollard are selected to use as the protection equipments for the barge. General arrangement of the berthing facilities is drawn out by AutoCAD 2007 together with its relevant protection equipments. Table 1: Barge particulars Particular Unit LOA 62.5 m Breadth 14.5 m Moulded depth 3.5 m Depth 2.68 m Lightship 383 tons Maximum Displacement 2380 tons Minimum Draft 0.52 m Maximum Draft 2.68 m Capacity 2500 tons 2.2 Berthing energy and berthing velocity The berthing energy is used to determine the most suitable fender for the berthing facilities. The ships ranging from 1000-10000 tons in water displacement are choosing as models of ships that berth at the facilities. As the ship is stopped by the fender, the momentum of the entrained water continues to push against the ship and this effectively increases its overall mass. The mass of specified water is called Added Seawater Mass; the added seawater influence coefficient is called Cm [3]. The berthing velocity is obtained from actual measurements or relevant existing statistic information. When the actual measured speed velocity is not available, the BSI and PIANC etc. standard is adopted to determine the required velocity value [3]. The berthing energy was calculated by: (1) ߨ‫ߩ ܮ 2ܦ‬ ‫+ 1 = ݉ܥ‬ (2) 4‫݀ܯ‬ 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 3. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 25 (3) 1 ‫= ݁ܥ‬ ‫ܫ‬ 1 + ( 2) ‫ݎ‬ 2.3 Environmental loads on berthing facilities Winds, currents, and waves produce dynamic loads on moored vessels due to waves follows. Static loads due to wind and current are separated into longitudinal load, lateral load, and yaw moment. The following formulas are used to determine the wind and waves loads [3]. Table 2: Environmetal parameters Source: Tanjung Langsat Port, Pasir Gudang Environmental Consideration Wind Normal wind speed = 8m/sec Extreme wind speed = 12m/sec Waves Max wave height = 0.4m(for 12m/sec) Current Slight change <0.1m/sec Average water depth 12m Average soil depth 9m 2.3.1 Lateral wind load and longitudinal wind load Loads on moored vessels due to wind result primarily from drag. The general equation used to determine lateral and longitudinal wind load are: (4) (5) 2.3.2 Lateral current load and longitudinal current load Current loads developed on moored vessels result from form drag, friction drag, and propeller drag. Lateral forces are dominated by form drag. Form drag is dependent upon the ratio of vessel draft to water depth: as the water depth decreases, current 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 4. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 26 flows around rather than underneath the vessel. Longitudinal forces due to current are caused by form drag, friction drag, and propeller drag[4]. The general equation used to determine lateral and longitudinal current load are: (6) (7) 3. RESULTS AND DISCUSSION 3.1 Structure selection General arrangement of the berthing facilities is drawn by AutoCAD 2007 and it has the length of overall of 62.5m, breadth 14.5m, draft 3.5m. The wetted area of the berthing facilities is 1212.98m2. The underwater volume is 2198.24m3. Figure 1 shows General arrangement of the berthing facilities Figure 1: General arrangement of berthing facilities 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 5. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 27 3.2 Berthing Energy Results from the numerical model for the berthing velocity and berthing energy were is shown in Table 3 and Table 4.Value of the berthing velocity for the ships berthing at the berthing facilities varies from 1000 tons to 10000 tons of water displacement were listed in Table 3. Table 3: Berthing Velocity Water Displacement (tons) Berthing velocity (m/sec) 1000 0.6667 2000 0.5533 3000 0.4940 4000 0.4551 5000 0.4267 6000 0.4047 7000 0.3868 8000 0.3719 9000 0.3592 10000 0.3481 From Table 4, the ship berthing at the berthing facilities is ranging from 1000 to 10000 tons in water displacement. The highest speed value of the berthing velocity occur when the 1000 tons displacement ship berthing at the berthing facilities which is 0.6667 m/sec. The higher the value of water displacement of the ship, the lower the value of berthing velocity. Figure 2 shows water displacement versus berthing velocity. Figure 3 shows PIANC recommendation for berthing velocity. 0.8 V 0.7 e 0.6 m l 0.5 / o 0.4 s c 0.3 e Berthing Velocity i c 0.2 t 0.1 y 0 0 2000 4000 6000 8000 10000 12000 Water Displacement (tons) Figure 2: Graph water displacement versus berthing velocity 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 6. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 28 Figure 3: PIANC Standard for berthing velocity a. Easy berthing (sheltered) b.dificult berthing (berthing) c. easy berthing (exposed, d. Good berthing (exposed,) , Difficult berthing (exposed) From Table 2, the ship berthing at the berthing facilities is ranging from 1000 to 10000 tons in water displacement. The highest value of the berthing energy occur when the 2000 tons displacement ship berthing at the berthing facilities which is 94.1 ton.m (See Figure 4 ). Table 2: Berthing Energy Berthing Energy Displacement (ton.m) (Md) Maximum Load Lightship 1000 32.2873 89.3095 2000 25.8694 94.0985 3000 21.8085 91.0958 4000 19.0577 86.6001 5000 17.0567 82.0414 6000 15.5306 77.8292 7000 14.3121 73.9820 8000 13.3186 70.5391 9000 12.4891 67.4507 10000 11.7781 64.6406 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 7. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 29 Ship Displacem ent versus Berthing Energy 1 00 90 B e 80 r 70 t h ( 60 i t n o 50 g n L ightship 40 . Max L oad E m ) 30 n e 20 r 10 g y 0 0 2000 40 0 0 6 00 0 8 0 00 1 00 0 0 1 2 00 0 Displacem ent (Md) Figure 4: Graph water displacement versus berthing energy 3.3 Environmental loadings on berthing facilities From Table 3, the wind angle is taken from 30o to 175o with the average 30o as interval. The maximum lateral wind load occurs when the wind is extreme at 90o which has the value of 3109.75 pounds. The maximum longitudinal wind load occurs when the wind is extreme at 175o which has the value of 1500.52 pounds ( See Figure 5). Table 3. Wind load Angle Wind Load (θ°) (pounds) Lateral Longitudinal Yaw- moment Normal Wind Extreme Wind Normal Wind Extreme Wind (foot- (26.25ft/sec) (39.37ft/sec) (26.25ft/sec) (39.37ft/sec) pounds) 30 691.05 1554.87 -579.75 -1304.46 16330.99 60 1196.94 2693.12 -334.72 -753.12 17977.93 90 1382.10 3109.75 0 0 8856.29 115 1252.61 2818.39 282.92 636.57 -963.183 145 792.74 1783.67 548.37 1233.85 -7436.76 175 120.45 271.03 666.89 1500.52 -2167.43 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 8. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 30 Angle versus Wind Load 3500 L 3000 o 2500 a 2000 d 1500 W Lat-N ( i p 1000 Lat-E n o 500 d u Long-N 0 n -500 0 50 100 150 200 Long-E d -1000 s -1500 ) -2000 Wind Angle(°) Figure 5. Graph wind angle versus wind load Table 4. Current load Angle Current Load (θ°) (pounds) Lateral Longitudinal Min Yaw moment Max Yaw moment Min draft Max draft draft (foot-pounds) draft (foot- pounds) 30 9.30 97.47 56.17 689.4589 -0.76 -3.90 60 16.11 0 97.29 0 -0.44 -2.25 90 18.60 -162.44 112.34 -1149.10 0 0 115 16.85 -294.28 101.82 -2082.98 0.37 1.90 145 10.67 -279.52 64.44 -1977.42 12.21 3.67 175 1.60 -5.59 9.79 -40.06 0.87 4.45 From Table 4, the current angle is taken from 30o to 175o with the average 30o as interval. The maximum lateral current load occurs when the berthing facilities is in maximum draft and have the current angle of 90o which has the value of 112.34 pounds. The maximum longitudinal current load occurs when the berthing facilities is in minimum draft and have the current angle of 145o which has the value of 12.21 pounds (See figure 6). 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 9. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 31 Angle versus Current Load 120 L 100 o C a 80 u d Lat-Min T ( r 60 p r Lat-MaxT o e 40 Long-MinT u n n 20 Long-MaxT t d s 0 ) . 0 50 100 150 200 -20 Current Angle(°) Figure 6. Graph current angle versus current load 4. EQUIPMENTS SELECTION Total Lateral load on berthing facilities is 3222.09 pounds, the total longitudinal load on berthing facilities is 1512.73 pounds and the horizontal hawser load, H is 3559.52 pounds. Fender selection According to the British standard, the ultimate fender capacity is 2 X berthing Energy. The maximum berthing energy occurs when the berthing facilities are in the maximum load and the berthing ship is at 1000 tons displacement which has the value of 89 ton.m. The fender capacity must be at least 2 x 89ton.m = 178 ton.m Chain Selection Approximate chain tension, T = 1.12 H (Horizontal Hawser Load) = = 3986.66 pounds Maximum allowable working load,Tbreak Tdesign = 0.35 Tbreak 3986.66 pounds = 0.35 Tbreak Tbreak = 11390.46 pounds * 1-inch chain with a breaking strength of 14,500 pounds Anchor Selection Required holding capacity = 3559.52 pounds Seafloor type is sand Depth of sand = 30 feet Anchor type is Stockless safe efficiency =4 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS
  • 10. International Journal of Mechanical & Mechatronics Engineering IJMME-IJENS Vol: 11 No: 06 32 Holding capacity = efficiency x weight 3559.52 = (4)(weight) Weight = 3559.52/4 =889.88pounds = 0.9 kips Use 1,000-pound (1-kip) Stockless anchor 5. CONCLUSION This paper presents numerical model for safe berthing and protection of mobile floating berthing protection facilities. The berthing facilities can help to decrease the heavy seaborne traffic and the cost of building an extra Jetty which may become a burden to ports operator. Mobile berthing facilities can be installed anytime and anywhere to help the port operator to save money and time. The model can be improved as a working platform by simulation and prototyping for experiment that can be used for further investigation. REFERENCES [1] You-Sheng Wu. (2001). Practical Design of Ships and Other Floating Structures. ELSEVIERAmsterdam. [2] John H.Hansen (1978). Mobile Ship Loading and Unloading Facility. http://www.patentstorm.us/patents/4075860.pdf [Accessed 27 August 2009]. [3] J. P. Jones (2006).Fleet Moorings. Design of fleet mooring 110-135. Naval facilities Engineering Command. [4] Bert J. Warner. (1989). Stable Floating pier. United State Patent Publication 110301-06-8989 IJMME-IJENS © December 2011 IJENS IJENS