Bollard Pull Analysis_21!10!15
Short Description
BOLLARD PULL ANALYSIS OF BARGE...
Description
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : Worst Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
A. TOW DESCRIPTION TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
Tug Boat
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION 1. 5.0 Kts ( Knots ) tow speed at maximum transport sea state criteria with 39 Knots Wind
C. VESSEL PARTICULARS Length between perpendiculars Vessel beam Vessel depth Vessel tow draft Cargo height Cargo width
Loa Bm Dm d h w
AHW = AHC = ACW =
Hull Wind Area, Hull Current Area, Cargo Wind Area, Wetted Surface Area Frontal Area (Total Block Area)
= = = = = =
S A
= =
330 100 20 14.764 45.932 88.583
ft. ft. ft. ft. ft. ft.
= = = = = =
100.584 30.480 6.096 4.500 14.000 27.000
m. m. m. m. m. m.
Bm x (Dmd) Bm x d wxh
= = =
48.6 m2 137.2 m2 378.0 m2
45697.0 Ft2 4592.4 Ft2
= =
4245.4 m2 426.6 m2
top of module cargo to the deck approx. width of module cargo
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : : 0.010 f = High surface roughness factor = 0.01 : 14.76 ft d = Average Barge Draft : 45697 ft2 S = Wetted Surface Area ( ft2 ) : 8.44 ft/s : V = Tow Speed ( ft / Sec ) : 1.80 n = 1.8 : 21243 lb : RF = Friction Resistance ( lb )
2.57 m/s
:
5.00 Knots
9.636 Metric Tons
II. Residuary Resistance For proude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x R F Where : : 0.30 = Residuary Resistance Factor RF = Friction Resistance : 6373 lb : 2.891 Metric Tons RR = Residuary Resistance III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = R F + R R Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance
:
27616 lb :
12.526 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 : 0.00238 sec2/ft4 = 0.00238 lb sec2 / ft4 : 4592.36 ft2 A = Frontal Area ( Total block Area ), ft2 : 65.62 ft/s : 20.00 m/s : 38.9 Knots (ND Criteria) v = Relative wind speed ft/s Page 1 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE
Case : Worst Case
PT. INDONESIAN SERVICE BUREAU Rw = Wind Resistance
:
30118 lb :
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
13.661 Metric Tons
Page 2 of 39
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : Worst Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + R w Where : RT = Total Skin Friction Resistance Rw = Wind Resistance :
R = Total calm Water Resistance
57734 lb :
26.188 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  1996 Revision Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height Wind speed Current speed Water Density Air Density
Hs Vw Vc rw rA
16.4 38.9 1.0 1025 1.225
ft kts kts kg/m3 kg/m3
= = =
5.0 m 20.0 m/s 0.50 m/s
(ND Criteria)
(ND Criteria/DNV rules 1996) Assumed (5.1 DnV Classification Notes 30.5, 1991)
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.30 > 3 d/B = 0.15 < 1 => CWH = 0.7 for an ideal block shape Use CWH = 1.0 as a conservative estimate Total Current Force:
FC = 0.5 CD rW B d Vc2 x 103
=
17.6
kN
=
1.76
MT (6.1.8 DnV Classification Notes 30.5 1991)
III. Wave Force L/B= B/d=
3.3 6.8
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
298
kN
=
30.35 MT (3.3.2.5 DnV 1996 Part 2 Chapter 2)
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
32.11 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force T = x (R + F) Where : = Tug Efficiency
:
0.750
(3.3.2.6 DnV 1996 Part 2 Chapter 2)
:
77.73 Metric Tons
R = Total Calm Water Resistance F = Total Current and Wave Force T = Bollard Pull Required
The required bollard pull of the tug tow to withstand wave drift force, current & wind force and tow speed is Tugboat Required is from
6218 BHP up to
77.73 Metric Tons
6996 BHP
Page 3 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE PT. INDONESIAN SERVICE BUREAU
Case : Worst Case
Page 4 of 39
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : Benign Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
A. TOW DESCRIPTION TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
Tug Boat
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION 1. 5.0 Kts ( Knots ) tow speed at maximum transport sea state criteria with 29.1 Knots Wind
C. VESSEL PARTICULARS Length between perpendiculars Vessel beam Vessel depth Vessel tow draft Cargo height Cargo width
Loa Bm Dm d h w
AHW = AHC = ACW =
Hull Wind Area, Hull Current Area, Cargo Wind Area, Wetted Surface Area Frontal Area (Total Block Area)
= = = = = =
S A
= =
330 100 20 14.764 45.932 88.583
ft. ft. ft. ft. ft. ft.
= = = = = =
100.584 30.480 6.096 4.500 14.000 27.000
m. m. m. m. m. m.
Bm x (Dmd) Bm x d wxh
= = =
48.6 m2 137.2 m2 378.0 m2
45697.0 Ft2 4592.4 Ft2
= =
4245.4 m2 426.6 m2
top of module cargo to the deck approx. width of module cargo
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : : 0.010 f = High surface roughness factor = 0.01 : 14.76 ft d = Average Barge Draft : 45697 ft2 S = Wetted Surface Area ( ft2 ) : 8.44 ft/s : V = Tow Speed ( ft / Sec ) : 1.80 n = 1.8 : 21243 lb : RF = Friction Resistance ( lb )
2.57 m/s
:
5.00 Knots
9.636 Metric Tons
II. Residuary Resistance For proude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x R F Where : : 0.30 = Residuary Resistance Factor RF = Friction Resistance : 6373 lb : 2.891 Metric Tons RR = Residuary Resistance III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = R F + R R Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance
:
27616 lb :
12.526 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 : 0.00238 sec2/ft4 = 0.00238 lb sec2 / ft4 : 4592.36 ft2 A = Frontal Area ( Total block Area ), ft2 : 49.21 ft/s : 15.00 m/s : 29.2 Knots (ND Criteria) v = Relative wind speed ft/s Page 5 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE Case : Benign Case
PT. INDONESIAN SERVICE BUREAU Rw = Wind Resistance
:
16941 lb :
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
7.684 Metric Tons
Page 6 of 39
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : Benign Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + R w Where : RT = Total Skin Friction Resistance Rw = Wind Resistance :
R = Total calm Water Resistance
44557 lb :
20.211 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  1996 Revision Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height Wind speed Current speed Water Density Air Density
Hs Vw Vc rw rA
6.6 29.2 1.0 1025 1.225
ft kts kts kg/m3 kg/m3
= = =
2 m 15.0 m/s 0.50 m/s
(ND Criteria)
(ND Criteria/DNV rules 1996) Assumed (5.1 DnV Classification Notes 30.5, 1991)
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.30 > 3 d/B = 0.15 < 1 => CWH = 0.7 for an ideal block shape Use CWH = 1.0 as a conservative estimate Total Current Force:
FC = 0.5 CD rW B d Vc2 x 103
=
17.6
kN
=
1.76
MT (6.1.8 DnV Classification Notes 30.5 1991)
III. Wave Force L/B= B/d=
3.3 6.8
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
48
kN
=
4.86 MT (3.3.2.5 DnV 1996 Part 2 Chapter 2)
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
6.61 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force T = x (R + F) Where : = Tug Efficiency
:
0.750
(3.3.2.6 DnV 1996 Part 2 Chapter 2)
:
35.77 Metric Tons
R = Total Calm Water Resistance F = Total Current and Wave Force T = Bollard Pull Required
The required bollard pull of the tug tow to withstand wave drift force, current & wind force and tow speed is Tugboat Required is from
2861 BHP up to
35.77 Metric Tons
3219 BHP
Page 7 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE PT. INDONESIAN SERVICE BUREAU
Case : Benign Case
Page 8 of 39
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : 10 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
A. TOW DESCRIPTION TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
Tug Boat
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION 1. 5.0 Kts ( Knots ) tow speed at maximum transport sea state criteria with 37.7 Knots Wind
C. VESSEL PARTICULARS Length between perpendiculars Vessel beam Vessel depth Vessel tow draft Cargo height Cargo width
Loa Bm Dm d h w
AHW = AHC = ACW =
Hull Wind Area, Hull Current Area, Cargo Wind Area, Wetted Surface Area Frontal Area (Total Block Area)
= = = = = =
S A
= =
330 100 20 14.764 45.932 88.583
ft. ft. ft. ft. ft. ft.
= = = = = =
100.584 30.480 6.096 4.500 14.000 27.000
m. m. m. m. m. m.
Bm x (Dmd) Bm x d wxh
= = =
48.6 m2 137.2 m2 378.0 m2
45697.0 Ft2 4592.4 Ft2
= =
4245.4 m2 426.6 m2
top of module cargo to the deck approx. width of module cargo
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : : 0.010 f = High surface roughness factor = 0.01 : 14.76 ft d = Average Barge Draft : 45697 ft2 S = Wetted Surface Area ( ft2 ) : 8.44 ft/s : V = Tow Speed ( ft / Sec ) : 1.80 n = 1.8 : 21243 lb : RF = Friction Resistance ( lb )
2.57 m/s
:
5.00 Knots
9.636 Metric Tons
II. Residuary Resistance For proude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x R F Where : : 0.30 = Residuary Resistance Factor RF = Friction Resistance : 6373 lb : 2.891 Metric Tons RR = Residuary Resistance III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = R F + R R Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance
:
27616 lb :
12.526 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 : 0.00238 sec2/ft4 = 0.00238 lb sec2 / ft4 : 4592.36 ft2 A = Frontal Area ( Total block Area ), ft2 : 63.63 ft/s : 19.39 m/s : 37.7 Knots (Basis of Design  Environmental Data) v = Relative wind speed ft/s Page 9 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE Case : 10 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU Rw = Wind Resistance
:
28322 lb :
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
12.847 Metric Tons
Page 10 of 39
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : 10 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + R w Where : RT = Total Skin Friction Resistance Rw = Wind Resistance :
R = Total calm Water Resistance
55938 lb :
25.373 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  1996 Revision Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height Wind speed Current speed Water Density Air Density
Hs Vw Vc rw rA
11.5 37.7 0.6 1025 1.225
ft kts kts kg/m3 kg/m3
= = =
3.505 m 19.4 m/s 0.31 m/s
(Basis of Design  Environmental Data)
(Basis of Design  Environmental Data) Assumed (5.1 DnV Classification Notes 30.5, 1991)
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.30 > 3 d/B = 0.15 < 1 => CWH = 0.7 for an ideal block shape Use CWH = 1.0 as a conservative estimate Total Current Force:
FC = 0.5 CD rW B d Vc2 x 103
=
6.7
kN
=
0.67
MT (6.1.8 DnV Classification Notes 30.5 1991)
III. Wave Force L/B= B/d=
3.3 6.8
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
146
kN
=
14.92 MT (3.3.2.5 DnV 1996 Part 2 Chapter 2)
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
15.58 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force T = x (R + F) Where : = Tug Efficiency
:
0.750
(3.3.2.6 DnV 1996 Part 2 Chapter 2)
:
54.61 Metric Tons
R = Total Calm Water Resistance F = Total Current and Wave Force T = Bollard Pull Required
The required bollard pull of the tug tow to withstand wave drift force, current & wind force and tow speed is Tugboat Required is from
4369 BHP up to
54.61 Metric Tons
4915 BHP
Page 11 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE PT. INDONESIAN SERVICE BUREAU
Case : 10 Year Rt Period Case
Page 12 of 39
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : 5 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
A. TOW DESCRIPTION TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
Tug Boat
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION 1. 5.0 Kts ( Knots ) tow speed at maximum transport sea state criteria with 36.4 Knots Wind
C. VESSEL PARTICULARS Length between perpendiculars Vessel beam Vessel depth Vessel tow draft Cargo height Cargo width
Loa Bm Dm d h w
AHW = AHC = ACW =
Hull Wind Area, Hull Current Area, Cargo Wind Area, Wetted Surface Area Frontal Area (Total Block Area)
= = = = = =
S A
= =
330 100 20 14.764 45.932 88.583
ft. ft. ft. ft. ft. ft.
= = = = = =
100.584 30.480 6.096 4.500 14.000 27.000
m. m. m. m. m. m.
Bm x (Dmd) Bm x d wxh
= = =
48.6 m2 137.2 m2 378.0 m2
45697.0 Ft2 4592.4 Ft2
= =
4245.4 m2 426.6 m2
top of module cargo to the deck approx. width of module cargo
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : : 0.010 f = High surface roughness factor = 0.01 : 14.76 ft d = Average Barge Draft : 45697 ft2 S = Wetted Surface Area ( ft2 ) : 8.44 ft/s : V = Tow Speed ( ft / Sec ) : 1.80 n = 1.8 : 21243 lb : RF = Friction Resistance ( lb )
2.57 m/s
:
5.00 Knots
9.636 Metric Tons
II. Residuary Resistance For proude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x R F Where : : 0.30 = Residuary Resistance Factor RF = Friction Resistance : 6373 lb : 2.891 Metric Tons RR = Residuary Resistance III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = R F + R R Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance
:
27616 lb :
12.526 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 : 0.00238 sec2/ft4 = 0.00238 lb sec2 / ft4 : 4592.36 ft2 A = Frontal Area ( Total block Area ), ft2 : 61.44 ft/s : 18.73 m/s : 36.4 Knots (Basis of Design  Environmental Data) v = Relative wind speed ft/s Page 13 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE Case : 5 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU Rw = Wind Resistance
:
26402 lb :
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
11.976 Metric Tons
Page 14 of 39
302808549.xls 02/02/2016
PROJECT No.
MISC. CALCULATION TOWING  PONTOON BARGE
PTT  MODULE TRANSPORTATION SHEET
Case : 5 Year Rt Period Case
PT. INDONESIAN SERVICE BUREAU

BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + R w Where : RT = Total Skin Friction Resistance Rw = Wind Resistance :
R = Total calm Water Resistance
54018 lb :
24.502 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  1996 Revision Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height Wind speed Current speed Water Density Air Density
Hs Vw Vc rw rA
10.8 36.4 0.6 1025 1.225
ft kts kts kg/m3 kg/m3
= = =
3.2918 m 18.7 m/s 0.31 m/s
(Basis of Design  Environmental Data)
(Basis of Design  Environmental Data) Assumed (5.1 DnV Classification Notes 30.5, 1991)
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.30 > 3 d/B = 0.15 < 1 => CWH = 0.7 for an ideal block shape Use CWH = 1.0 as a conservative estimate Total Current Force:
FC = 0.5 CD rW B d Vc2 x 103
=
6.7
kN
=
0.67
MT (6.1.8 DnV Classification Notes 30.5 1991)
III. Wave Force L/B= B/d=
3.3 6.8
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
129
kN
=
13.16 MT (3.3.2.5 DnV 1996 Part 2 Chapter 2)
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
13.83 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force T = x (R + F) Where : = Tug Efficiency
:
0.750
(3.3.2.6 DnV 1996 Part 2 Chapter 2)
:
51.10 Metric Tons
R = Total Calm Water Resistance F = Total Current and Wave Force T = Bollard Pull Required
The required bollard pull of the tug tow to withstand wave drift force, current & wind force and tow speed is Tugboat Required is from
4088 BHP up to
51.10 Metric Tons
4599 BHP
Page 15 of 39
302808549.xls 02/02/2016
MISC. CALCULATION TOWING  PONTOON BARGE PT. INDONESIAN SERVICE BUREAU
Case : 5 Year Rt Period Case
Page 16 of 39
PROJECT No.

PTT  MODULE TRANSPORTATION SHEET BY
1 of
1 REV
A
AB
DATE 01/10/2010
CHKD CH
DATE 01/10/2010
302808549.xls 02/02/2016
PROJECT No. PTT  MODULE TRANSPOR SHEET 1 of 1 BY AB DATE CHKDCH DATE
MISC. CALCULATION TOWING  CARGO BARGE Case : 1 Year Return Period Case
PT. INDONESIAN SERVICE BUREAU A. TOW DESCRIPTION
TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION Transportation sea state criteria based on Environmental Criteria given by client. 1. Significant Wave Height 16.4 ft 2. Wind Speed : 39.0 knots 3. Current Speed : 1.0 knots C. VESSEL PARTICULARS Length between perpendicular Loa Bm Vessel beam
=
180.446 ft.
=
55.000 m.
=
52.49344 ft.
=
16.000 m.
Dm
= =
11.483 ft. 3.608924 ft.
= =
3.500 m. 1.100 m.
Vessel depth Vessel tow draft Deck House height
d h1
=
16.404 ft.
=
5.000 m.
Deck House width
w1
=
45.932 ft.
=
14.000 m.
Raised Quarter height
h2
=
1.640 ft.
=
0.500
Raised Quarter width
w2
=
52.493 ft.
=
16.000 m.
Spud Height
h3
=
0.000 ft.
=
0.000
m.
Spud Width
w3
=
0.000 ft. Bm x (Dmd)
=
0.000
m.
=
38.4 m2
AHW = AHC =
Hull Wind Area, Hull Current Area, Deck house Area, Raised Quarter Area Spud Area Wetted Surface Area S Frontal Area (Total Block Area)A
m.
Bm x d
=
17.6 m2
ACW = ARQ =
w1 x h1
=
70.0 m2
w2 x h2
=
8.0 m2
As =
w3 x h3
=
= =
= =
11153.6 Ft2 1252.9 Ft2
0.0
m2
1036.2 m2 116.4 m2
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : f
= High surface roughness factor = 0.01
d = Average Barge Draft
:
0.010
:
3.61 ft
S = Wetted Surface Area ( ft )
:
11154 ft2
V = Tow Speed ( ft / Sec ) n = 1.8 RF = Friction Resistance ( lb )
: : :
2
6.75 ft/s : 1.80 3470 lb :
2.06 m/s
:
4.00 Knots
1.574 Metric Tons
II. Residuary Resistance For Froude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x RF Where : 0.40 = Residuary Resistance Factor : RF = Friction Resistance Page 17 of 39
302808549.xls 02/02/2016
PROJECT No. PTT  MODULE TRANSPOR SHEET 1 of 1 BY AB DATE CHKDCH DATE
MISC. CALCULATION TOWING  CARGO BARGE Case : 1 Year Return Period Case
PT. INDONESIAN SERVICE BUREAU RR = Residuary Resistance
:
1388 lb :
0.630 Metric Tons
III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = RF + RR Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance :
4858 lb :
2.203 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 2 4 : 0.00238 sec2/ft4 = 0.00238 lb sec / ft 2: 1252.92 ft2 A = Frontal Area ( Total block Area ), ft : 65.82 ft/s: 20.06 m/s : 39.0 Knots v = Relative wind speed ft/s Rw = Wind Resistance : 8269 lb : 3.751 Metric Tons V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + Rw Where : RT = Total Skin Friction Resistance Rw = Wind Resistance :
R = Total calm Water Resistance
13127 lb :
5.954 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  1996  Revis Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height
Hs
16.4 ft
=
5.000 m
Wind speed
Vw
39.0 kts
=
20.1
m/s
Current speed
Vc
1.0 kts
=
0.50
m/s
Water Density
rw
1025 kg/m
Air Density
rA
1.225 kg/m3
3
(5.1 DnV Classification Notes 30.5, 1991)
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.44 > 3 d/B = 0.07 < 1 => CWH = 0.7 for an ideal block shape Use CWH = From Ref:6.1.8 DnV Classification Notes 30.5 1991) 2 3 Total Current Force FC = 0.5 CWH rW B d Vc x 10 =
2.3
kN
1.0 =
0.23
as a conservative estimate MT
III. Wave Force L/B= B/d=
3.4 14.5
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
Page 18 of 39
113
kN
=
11.57
MT (3.3.2.5 DnV 1996 Part 2 Chapter 2 302808549.xls 02/02/2016
MISC. CALCULATION TOWING  CARGO BARGE Case : 1 Year Return Period Case
PT. INDONESIAN SERVICE BUREAU
PROJECT No. PTT  MODULE TRANSPOR SHEET 1 of 1 BY AB DATE CHKDCH DATE
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
11.80 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force TPR = (R + F) TPR = x BP Where : = Tug Efficiency : 0.21 (Table123 , Guidelines for Marine transportations,Bollard pull requirem by GL Noble Denton R = Total Calm Water Resistance F = Total Current and Wave Force : 17.75 Metric Tons TPR = Tow Line Pull Required : 85.29 Metric Tons BP = Static Bollard Pull The required bollard pull (BP) to withstand wave drift force, current & wind force and tow speed is
Page 19 of 39
85.29
Metric Tons
302808549.xls 02/02/2016
PTT  MODULE TRANSPORTATION REV B DATE April 29, 2011 DATE April 29, 2011
Tug Boat
Page 20 of 39
302808549.xls 02/02/2016
PTT  MODULE TRANSPORTATION REV B DATE April 29, 2011 DATE April 29, 2011
V Rules for Planning and Execution of Marine Operations  1996  Revision
(3.3.2.5 DnV 1996 Part 2 Chapter 2) Page 21 of 39
302808549.xls 02/02/2016
PTT  MODULE TRANSPORTATION REV B DATE April 29, 2011 DATE April 29, 2011
(Table123 , Guidelines for Marine transportations,Bollard pull requirements, by GL Noble Denton
Metric Tons
Page 22 of 39
302808549.xls 02/02/2016
PROJECT No. PTT  MODULE T SHEET BY CHKD
MISC. CALCULATION TOWING  CARGO BARGE Case : 1 Year Return Period Case
PT. INDONESIAN SERVICE BUREAU A. TOW DESCRIPTION
TOW SPEED
CARGO CARGO#4
CARGO#3
CARGO#2
CARGO#1
WIND
BARGE
WAVE & CURRENT VELOCITY
B. DESIGN ASUMPTION Transportation sea state criteria based on Environmental Criteria given by client. 1. Significant Wave Height 16.4 ft 2. Wind Speed : 39.0 knots 3. Current Speed : 1.9 knots C. VESSEL PARTICULARS Length between perpendicular Loa Bm Vessel beam
=
180.446 ft.
=
55.000 m.
=
52.49344 ft.
=
16.000 m.
Dm
= =
11.483 ft. 3.608924 ft.
= =
3.500 m. 1.100 m.
Vessel depth Vessel tow draft Deck House height
d h1
=
16.404 ft.
=
5.000 m.
Deck House width
w1
=
45.932 ft.
=
14.000 m.
Raised Quarter height
h2
=
1.640 ft.
=
0.500
Raised Quarter width
w2
= AHW = AHC =
52.493 ft. Bm x (Dmd)
=
16.000 m.
=
38.4 m2
Bm x d
=
17.6 m2
ACW = ARQ =
w1 x h1
=
70.0 m2
w2 x h2
=
8.0 m2
= =
1036.2 m2 116.4 m2
Hull Wind Area, Hull Current Area, Deck house Area, Raised Quarter Area Wetted Surface Area S Frontal Area (Total Block Area A
= =
11153.6 Ft2 1252.9 Ft2
D. TOW FORCE DUE TO CALM WATER RESISTANCE I. Estimate Skin Friction The Froude formula is used to calculate friction resistance is as follow : RF = f S V n Where : f
= High surface roughness factor = 0.01
:
0.010
d = Average Barge Draft
:
3.61 ft
S = Wetted Surface Area ( ft2 )
:
11154 ft2
m.
V = Tow Speed ( ft / Sec ) n = 1.8 RF = Friction Resistance ( lb )
: : :
6.75 ft/s : 1.80 3470 lb :
2.06 m/s
:
4.00
1.574 Metric Tons
II. Residuary Resistance For Froude number up to 0.1, the residuary resistance component is unlikely to exceed 25% of the total resistance. RR = x RF Where : 0.35 = Residuary Resistance Factor : RF = Friction Resistance RR = Residuary Resistance
:
1214 lb :
0.551 Metric Tons
III. Total Skin Friction Resistance Total skin friction resistance is sum of friction resistance and residual resistance as follow: RT = RF + RR Where : RF = Friction Resistance RR = Residuary Resistance RT = Total Skin Friction Resistance :
4684 lb :
2.125 Metric Tons
IV. Wind Resistance Wind Resistance is added to above formula to deduce the total calm water towing resistance into a head wind. Wind Resistance is calculated from : Rw = CD x 1/2 A v2 Where : : 1.28 CD = 1.28 2 4 : 0.00238 sec2/ft4 = 0.00238 lb sec / ft 2: 1252.92 ft2 A = Frontal Area ( Total block Area ), ft : 65.82 ft/s: 20.06 m/s : 39.0 Knots v = Relative wind speed ft/s Rw = Wind Resistance : 8269 lb : 3.751 Metric Tons V. Total Calm Water Resistance Total Calm Water Resistance is sum of total skin friction resistance and total wind resistance ahead the barge. R = RT + Rw Where : RT = Total Skin Friction Resistance Rw = Wind Resistance R = Total calm Water Resistance
:
12953 lb :
5.876 Metric Tons
E. TOW FORCE DUE TO WAVE AND CURRENT LOAD Tow force due to wave and current load according with DnV Rules for Planning and Execution of Marine Operations  19 Part 2 Chapter 2  Towing I. Seastate Criteria Significant wave height
Hs
16.4 ft
=
5.000 m
Wind speed
Vw
39.0 kts
=
20.1
m/s
Current speed
Vc
1.9 kts
=
1.00
m/s
Water Density
rw
1025 kg/m
3
rA
Air Density
1.225 kg/m3
(5.1 DnV Classification Notes 30.5, 1991
II. Current Force Current Drag Coefficients: 1. Hull: Ref: DnV Classification Notes 30.5, 1991; Table 5.5 L/B = 3.44 > 3 d/B = 0.07 < 1 => CWH = 0.7 for an ideal block shape Use CWH = From Ref:6.1.8 DnV Classification Notes 30.5 1991) 2 3 Total Current Force FC = 0.5 CWH rW B d Vc x 10 =
9.0
kN
1.0 =
0.92
as a conservative estimate MT
III. Wave Force L/B= B/d=
3.4 14.5
>3.0, OK >6.0, OK
Total Drift Force, Fdrift = Hs2 B [0.52 L  13] / L
(3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) (3.3.2.5 DnV 1996 Part 2 Chapter 2, Ref 3) =
113
kN
=
11.57
MT (3.3.2.5 DnV 1996 Part 2
IV. Total Wave and Current Force The environmental force is sum of total current force and total wave drift force F = Fc + Fdrift Where : Fc = Total Current Force Fdrift = Total Drift Force F = Total environmental force
:
12.49 Metric Tons
F. BOLLARD PULL REQUIREMENT The required bollard pull are sum of total calm water resistance and total wave and current force TPR = (R + F) TPR = x BP Where : = Tug Efficiency : 0.69 (Table1 , Tug Efficiency; By Towing Recommendations  DN R = Total Calm Water Resistance F = Total Current and Wave Force : 18.36 Metric Tons TPR = Tow Line Pull Required : 26.61 Metric Tons BP = Static Bollard Pull The required bollard pull (BP) to withstand wave drift force, current & wind force and tow speed is
39.922
Tugboat Required is
0 BHP up to
0 BHP ###
26.61
PROJECT No. PTT  MODULE TRANSPORTATION SHEET 1 of 1 REV B AB DATE April 29, 2011 CH DATE April 29, 2011
Tug Boat
3.608924 0.31
Knots
he total resistance.
a head wind.
ad the barge.
Marine Operations  1996  Revision
cation Notes 30.5, 1991)
tive estimate
art 2 Chapter 2, Ref 3) art 2 Chapter 2, Ref 3)
3.3.2.5 DnV 1996 Part 2 Chapter 2)
0 2 1.7
Recommendations  DNV)
26.61
Metric Tons
80.00 62.75 65.3375
62.75
For Hs : 5m BP 62.8012 0 3429 London Offshore Consultants LOCGGENGuideline002 Rev.1 0.29241 29.2414653938 For Hs : 2m 0.8 Delta Delta 1 Delta 2 % Reduction (%) Interpolation
80 50.7585346062 3 0.804 26.8 13.6032872745 66.3967127255
47.9
21.27299
21.27299
uideline002 Rev.1
44.73461
18.36
KG d
Δ v lwl mr
3.940649 1.221528
0.817 0.444
59.53666 0.222
3.226 7.716 5.8 3.940649
0.595 0.119 33.1147 3.940649
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