Buoy Calculation Depth 14M Calculation Navigation Buoy Data
Buoy Calculation Depth 14M Calculation Navigation Buoy Data
Buoy Calculation Depth 14M Calculation Navigation Buoy Data
Data :
Tho = Horizontal Load caused Wind & Tide New ton 1007.40
Fw = Maximum wind load on buoy New ton 98.09
Fd = Maximum tide or current load on buoy New ton 909.30
Rc = The Proof load of the chain New ton 20.00
ρa = Unit mass of air Kg/m³ 1.29
ρb = Unit mass of sea water Kg/m³ 1024.00
ρs = Unit mass of stell Kg/m³ 7850.00
δ = Mean density sinker, concrete 2400Kg/m³, cast iron 7800Kg/m³ Kg/m³ 2400.00
Vw = Maximum wind velocity m/s 11.30
Vd = Maximum velocity of current or tide m/s 0.85
g = acceleration due to gravity m/s² 9.81
a = height point of application Force caused by Wind m 2.08
b = height point of application Force caused by Current m 0.40
Cw = Aerodinamic drag coeficient of relevant part of buoy exposed to wind load 0.40
Cd = Hydrodynamic drag coeficient of various immersed section of buoy 0.55
P = Linier immersed mass chain (mass minus buoyancy of the chain) Kg/m 21.79
H = maximum water depth at the station m 14.00
mc = Linier immersed mass of chain Kg/m 25.00
Mb = mass of body buoy Kg 1046.41
L = suspended length of mooring m 21.00
Hb = Height of body buoy m 0.90
hb = height of counter weight buoy m 0.50
Db = Diameter of body buoy m 2.20
Dt = Height of dished bottom body buoy m 0.46
Dt2 = Height of dished body top buoy m 0.15
db = Diameter of counter weight buoy m 1.10
t = Thickness of plate m 0.008
Rb = Reserve buoyancy (request 2000 Kg + 630 Kg -->2,57 m³) m³ 2.57
U = Total volume of float m³ 5.43
Kw = Counter weight Kg 1281.96
BB = Additional Weight (structure + marine lattern ) Kg 72.00
K = Safety coefficient generally taken 1,5 1.50
TanΦ = 45° used in most case rad 0.79
X = Distance of Level Sea Water To Top Body Buoy m 0.58
BUOY CALCULATION DEPTH 14M
b = Σb*Fd/ΣFd
= (b1*F1+b2*F2+b3*F3)/ΣFd
= ( 221.88 + 81.11 + 61.04 )/ 909
= 364.03 / 909
= 0.40 m
BUOY CALCULATION DEPTH 14M
Righting moment
Righting moment = g* Mass volume displace buoy*MG sinΦ
= 9.81 * 2925.37 * 0.53 * Sin 2° ( Sin 4° =0,07)
= 1072.17 Nm
Distance to centre gravity
c1 c2 c3 c4 c5
Dynamic behaviour of buoy 0.7 -0.1 -0.5 1.2 2.2
T = 2π √(Im/m*g*MG)
Im = Σmr²
= ( m silinder buoy*(c1)² + m dished bottom * (c2)² + m counter weight *(c3)² +
m top body buoy*(c4)² + m structure*(c5)² )/(m*g*MG)
= ( 390.44 * 0.7 )+( 287.88 * -0.1 )+( 1558.52 * -0.50 )+
( 199.99 * 1.2 )+( 72 * 2.2 )/( 2925.37 * 9.81 * 0.53 )
T = 1.78 sec
Rm = L-√(H(H+(2Tho/(Pg)))+(Tho/(Pg)(Cosh^-1)*((HPg/Tho)+1)
= 21.00 - 18.11 + 4.71 *Cosh^-1 ( 3.97 )
= 21.00 - 18.11 + 4.71 * 2.06
= 12.60 m
Mb = Mass plate body + Mass plate dishead bottom+ Mass plate counter buoy+ Mass plate dishead top
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (((4π(Db/2)*(Db/2)*Dt2)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt2-t))/3))/2)*ρs
= 390.44016 + 287.88 + 168.11 + 199.99
= 1046.41 Kg
Rb = U-(((Mb+mc*L)/ρw)+ ((BB/ρw)+KW)
2.57 = 5.43 - 1.53 - 0.07 - KW
1/2 Volume displace water = Volume counter weight + Volume Dishead bottom
1.43 = (πdb²/4)*hb + (4π/3)*(Db/2)*(Db/2)*X/2
1.43 = 0.47 + 2.53 X
1.43 - 0.47 = 2.53 X
0.96 = 2.53 X
X = 0.38 m
Center of Metacentre
MB = I/(Volume water displaced)
= π(Db^4)/64/Volume Displace Water
= π(2,2^4)/64/Volume Displace Water
= 0.40 m
MG = MB - GB
= MB - (GO-BO)
= 0.40 -( 0.25 - 0.38 )
= 0.53
MG › 0 BUOY STABLE
BUOY CALCULATION DEPTH 40M
Data :
Tho = Horizontal Load caused Wind & Tide New ton 1007.40
Fw = Maximum wind load on buoy New ton 98.09
Fd = Maximum tide or current load on buoy New ton 909.30
Rc = The Proof load of the chain New ton 47.79
ρa = Unit mass of air Kg/m³ 1.29
ρb = Unit mass of sea water Kg/m³ 1024.00
ρs = Unit mass of stell Kg/m³ 7850.00
δ = Mean density sinker, concrete 2400Kg/m³, cast iron 7800Kg/m³ Kg/m³ 2400.00
Vw = Maximum wind velocity m/s 11.30
Vd = Maximum velocity of current or tide m/s 0.85
g = acceleration due to gravity m/s² 9.81
a = height point of application Force caused by Wind m 2.08
b = height point of application Force caused by Current m 0.40
Cw = Aerodinamic drag coeficient of relevant part of buoy exposed to wind load 0.40
Cd = Hydrodynamic drag coeficient of various immersed section of buoy 0.55
P = Linier immersed mass chain (mass minus buoyancy of the chain) Kg/m 21.79
H = maximum water depth at the station m 40.00
mc = Linier immersed mass of chain Kg/m 25.00
Mb = mass of body buoy Kg 1046.41
L = suspended length of mooring m 60.00
Hb = Height of body buoy m 0.90
hb = height of counter weight buoy m 0.50
Db = Diameter of body buoy m 2.20
Dt = Height of dished bottom body buoy m 0.46
Dt2 = Height of dished body top buoy m 0.15
db = Diameter of counter weight buoy m 1.10
t = Thickness of plate m 0.008
Rb = Reserve buoyancy (request 2000 Kg + 630 Kg -->2,57 m³) m³ 2.57
U = Total volume of float m³ 5.43
Kw = Counter weight Kg 306.96
BB = Additional Weight (structure + marine lattern ) Kg 72.00
K = Safety coefficient generally taken 1,5 1.50
TanΦ = 45° used in most case rad 0.79
X = Distance of Level Sea Water To Top Body Buoy m 0.58
BUOY CALCULATION DEPTH 40M
b = Σb*Fd/ΣFd
= (b1*F1+b2*F2+b3*F3)/ΣFd
= ( 221.88 + 81.11 + 61.04 )/ 909
= 364.03 / 909
= 0.40 m
BUOY CALCULATION DEPTH 40M
Righting moment
Righting moment = g* Mass volume displace buoy*MG sinΦ
= 9.81 * 2925.37 * 0.25 * Sin 2° ( Sin 4° =0,07)
= 503.09 Nm
Distance to centre gravity
c1 c2 c3 c4 c5
Dynamic behaviour of buoy 0.4 -0.4 -0.8 0.9 1.9
T = 2π √(Im/m*g*MG)
Im = Σmr²
= ( m silinder buoy*(c1)² + m dished bottom * (c2)² + m counter weight *(c3)² +
m top body buoy*(c4)² + m structure*(c5)² )/(m*g*MG)
= ( 390.44 * 0.4 )+( 287.88 * -0.4 )+( 583.52 * -0.78 )+
( 199.99 * 0.9 )+( 72 * 1.9 )/( 2925.37 * 9.81 * 0.25 )
T = 2.23 sec
Rm = L-√(H(H+(2Tho/(Pg)))+(Tho/(Pg)(Cosh^-1)*((HPg/Tho)+1)
= 60.00 - 44.46 + 4.71 *Cosh^-1 ( 9.49 )
= 60.00 - 44.46 + 4.71 * 2.06
= 25.24 m
Mb = Mass plate body + Mass plate dishead bottom+ Mass plate counter buoy+ Mass plate dishead top
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (((4π(Db/2)*(Db/2)*Dt2)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt2-t))/3))/2)*ρs
= 390.44016 + 287.88 + 168.11 + 199.99
= 1046.41 Kg
Rb = U-(((Mb+mc*L)/ρw)+ ((BB/ρw)+KW)
2.57 = 5.43 - 2.49 - 0.07 - KW
1/2 Volume displace water = Volume counter weight + Volume Dishead bottom
1.43 = (πdb²/4)*hb + (4π/3)*(Db/2)*(Db/2)*X/2
1.43 = 0.47 + 2.53 X
1.43 - 0.47 = 2.53 X
0.96 = 2.53 X
X = 0.38 m
Center of Metacentre
MB = I/(Volume water displaced)
= π(Db^4)/64/Volume Displace Water
= π(2,2^4)/64/Volume Displace Water
= 0.40 m
MG = MB - GB
= MB - (GO-BO)
= 0.40 -( 0.53 - 0.38 )
= 0.25
MG › 0 BUOY STABLE
CATODIC PROTECTION BUOY CALCULATION DEPTH 40M
Data :
CR = (K x W) /( AxDxT )
W = Mass plate body + Mass plate dishead+ Mass plate counter buoy+ Mass plate top buoy
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (((4π(Db/2)*(Db/2)*Dt2)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt2-t))/3))/2)*ρs
= 433.82 + 287.88 + 168.11 + 199.99
= 1089.79 Kg
= 1089793.16 gr
A = Luas silinder Buoy Tercelup + Luas dishead + Luas Silinder Counter Weight
= πDb* (H-X) + (4πDb²)/2 + (πdb*h + πdb²)
= 2.21 + 7.5988 + 2.68
= 12.49 m²
= 1248621.00 cm²
Ic = Ac x fc x ic
Ac = Luas silinder Buoy + Tutup atas buoy + Luas dishead + Luas Silinder Counter Weight
= πDb* H + π(db/2)² + (4πDb²)/2 + (πdb*h + πdb²)
= 6.91 + 3.80 + 7.60 + 2.68
= 20.98 m²
fc = k1+k2(tf/2)
= 0.10 + 0.05 *( 2.00 / 2)
= 0.15 Ampere
M = Ic x T x 8760/(µxε)
= ( 0.19 * 2.00 * 8760 )/( 0.85 * 2000.00 )
= 1.95 Kg
CATODIC PROTECTION BUOY CALCULATION DEPTH 14M
Data :
CR = (K x W) /( AxDxT )
W = Mass plate body + Mass plate dishead+ Mass plate counter buoy+ Mass plate top buoy
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (((4π(Db/2)*(Db/2)*Dt2)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt2-t))/3))/2)*ρs
= 433.82 + 287.88 + 168.11 + 199.99
= 1089.79 Kg
= 1089793.16 gr
A = Luas silinder Buoy Tercelup + Luas dishead + Luas Silinder Counter Weight
= πDb* (H-X) + (4πDb²)/2 + (πdb*h + πdb²)
= 2.21 + 7.5988 + 2.68
= 12.49 m²
= 1248621.00 cm²
Ic = Ac x fc x ic
Ac = Luas silinder Buoy + Tutup atas buoy + Luas dishead + Luas Silinder Counter Weight
= πDb* H + π(db/2)² + (4πDb²)/2 + (πdb*h + πdb²)
= 6.91 + 3.80 + 7.60 + 2.68
= 20.98 m²
fc = k1+k2(tf/2)
= 0.10 + 0.10 *( 2.00 / 2)
= 0.15 Ampere
M = Ic x T x 8760/(µxε)
= ( 0.22 * 2.00 * 8760 )/( 0.85 * 2000.00 )
= 2.27 Kg --> minimum kebutuhan anoda korban aluminium untuk 2 Tahun
BUOY CALCULATION
Data :
Tho = Horizontal Load caused Wind & Tide New ton 1007.40
Fw = Maximum wind load on buoy New ton 98.09
Fd = Maximum tide or current load on buoy New ton 909.30
Rc = The Proof load of the chain New ton 47.79
ρa = Unit mass of air Kg/m³ 1.29
ρb = Unit mass of sea water Kg/m³ 1024.00
ρs = Unit mass of stell Kg/m³ 7850.00
δ = Mean density sinker, concrete 2400Kg/m³, cast iron 7800Kg/m³ Kg/m³ 2400.00
Vw = Maximum wind velocity m/s 11.30
Vd = Maximum velocity of current or tide m/s 0.85
g = acceleration due to gravity m/s² 9.81
a = height point of application Force caused by Wind m 2.08
b = height point of application Force caused by Current m 0.40
Cw = Aerodinamic drag coeficient of relevant part of buoy exposed to wind load 0.40
Cd = Hydrodynamic drag coeficient of various immersed section of buoy 0.55
P = Linier immersed mass chain (mass minus buoyancy of the chain) Kg/m 21.79
H = maximum water depth at the station m 40.00
mc = Linier immersed mass of chain Kg/m 25.00
Mb = mass of body buoy Kg 889.81
L = suspended length of mooring m 60.00
Hb = Height of body buoy m 1.00
hb = height of counter weight buoy m 0.50
Db = Diameter of body buoy m 2.20
Dt = Height of dished body buoy 0.46
db = Diameter of counter weight buoy m 1.10
t = Thickness of plate m 0.008
Rb = Reserve buoyancy (request 2000 Kg + 630 Kg -->2,57 m³) m³ 2.57
U = Total volume of float m³ 5.43
Kw = Counter weight Kg 463.57
BB = Additional Weight (structure + marine lattern ) Kg 72.00
K = Safety coefficient generally taken 1,5 1.50
TanΦ = 45° used in most case rad 0.79
X = Distance of Level Sea Water To Top Body Buoy m 0.68
BUOY CALCULATION
X = 0.68 m
b = Σb*Fd/ΣFd
= (b1*F1+b2*F2+b3*F3)/ΣFd
= ( 221.88 + 81.11 + 61.04 )/ 909
= 364.03 / 909
= 0.40 m
BUOY CALCULATION
Righting moment
Righting moment = g* Mass volume displace buoy*MG sinΦ
= 9.81 * 2925.37 * 0.31 * Sin 4° ( Sin 4° =0,07)
= 617.32 Nm
Distance to centre gravity
c1 c2 c3 c4 c5
Dynamic behaviour of buoy 0.5 -0.3 -0.7 1.0 2.0
T = 2π √(Im/m*g*MG)
Im = Σmr²
= ( m silinder buoy*(c1)² + m dished bottom * (c2)² + m counter weight *(c3)² +
m top body buoy*(c4)² + m structure*(c5)² )/(m*g*MG)
= ( 433.82 * 0.5 )+( 287.88 * -0.3 )+( 740.13 * -0.75 )+
( 238.60 * 1.0 )+( 72 * 2.0 )/( 2925.37 * 9.81 * 0.31 )
T = 2.16 sec
Rm = L-√(H(H+(2Tho/(Pg)))+(Tho/(Pg)(Cosh^-1)*((HPg/Tho)+1)
= 60-√(40(40+(2*1160,37/(21,79*9,81)))+(1160,37/(21,79*9,81)(Cosh^-1)*((40*21,79*9,81/1160,37)+1)
= 60.00 - 281.21 + 13.86
= -207.36
Mb = Mass plate body + Mass plate dishead+ Mass plate counter buoy+ Mass plate top buoy
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (πDb²/4*t)*ρs
= 433.82 + 287.88 + 168.11 + 238.60
= 889.81 Kg
Rb = U-(((Mb+mc*L)/ρw)+ ((BB/ρw)+KW)
2.57 = 5.43 - 2.33 - 0.07 - KW
Center of Metacentre
MB = I/(Volume water displaced)
= π(Db^4)/64/Volume Displace Water
= π(2,2^4)/64/Volume Displace Water
= 0.40 m
MG = MB - GB
= MB - (GO-BO)
= 0.40 -( 0.50 - 0.40 )
= 0.31
MG › 0 BUOY STABLE
BUOY CALCULATION
Data :
Tho = Horizontal Load caused Wind & Tide New ton 1007.40
Fw = Maximum wind load on buoy New ton 98.09
Fd = Maximum tide or current load on buoy New ton 909.30
Rc = The Proof load of the chain New ton 20.00
ρa = Unit mass of air Kg/m³ 1.29
ρb = Unit mass of sea water Kg/m³ 1024.00
ρs = Unit mass of stell Kg/m³ 7850.00
δ = Mean density sinker, concrete 2400Kg/m³, cast iron 7800Kg/m³ Kg/m³ 2400.00
Vw = Maximum wind velocity m/s 11.30
Vd = Maximum velocity of current or tide m/s 0.85
g = acceleration due to gravity m/s² 9.81
a = height point of application Force caused by Wind m 2.08
b = height point of application Force caused by Current m 0.40
Cw = Aerodinamic drag coeficient of relevant part of buoy exposed to wind load 0.40
Cd = Hydrodynamic drag coeficient of various immersed section of buoy 0.55
P = Linier immersed mass chain (mass minus buoyancy of the chain) Kg/m 21.79
H = maximum water depth at the station m 14.00
mc = Linier immersed mass of chain Kg/m 25.00
Mb = mass of body buoy Kg 1046.41
L = suspended length of mooring m 21.00
Hb = Height of body buoy m 0.90
hb = height of counter weight buoy m 0.50
Db = Diameter of body buoy m 2.20
Dt = Height of dished bottom body buoy m 0.46
Dt2 = Height of dished body top buoy m 0.15
db = Diameter of counter weight buoy m 1.10
t = Thickness of plate m 0.008
Rb = Reserve buoyancy (request 2000 Kg + 630 Kg -->2,57 m³) m³ 2.57
U = Total volume of float m³ 5.43
Kw = Counter weight Kg 1281.96
BB = Additional Weight (structure + marine lattern ) Kg 72.00
K = Safety coefficient generally taken 1,5 1.50
TanΦ = 45° used in most case rad 0.79
X = Distance of Level Sea Water To Top Body Buoy m 0.58
BUOY CALCULATION
b = Σb*Fd/ΣFd
= (b1*F1+b2*F2+b3*F3)/ΣFd
= ( 221.88 + 81.11 + 61.04 )/ 909
= 364.03 / 909
= 0.40 m
BUOY CALCULATION
Righting moment
Righting moment = g* Mass volume displace buoy*MG sinΦ
= 9.81 * 2925.37 * 0.51 * Sin 2° ( Sin 4° =0,07)
= 1033.97 Nm
Distance to centre gravity
c1 c2 c3 c4 c5
Dynamic behaviour of buoy 0.7 -0.1 -0.5 1.2 2.2
T = 2π √(Im/m*g*MG)
Im = Σmr²
= ( m silinder buoy*(c1)² + m dished bottom * (c2)² + m counter weight *(c3)² +
m top body buoy*(c4)² + m structure*(c5)² )/(m*g*MG)
= ( 390.44 * 0.7 )+( 287.88 * -0.1 )+( 1558.52 * -0.51 )+
( 238.60 * 1.2 )+( 72 * 2.2 )/( 2925.37 * 9.81 * 0.51 )
T = 1.86 sec
Rm = L-√(H(H+(2Tho/(Pg)))+(Tho/(Pg)(Cosh^-1)*((HPg/Tho)+1)
= 21.00 - 18.11 + 4.71 *Cosh^-1 ( 3.97 )
= 21.00 - 18.11 + 4.71 * 2.06
= 12.60 m
Mb = Mass plate body + Mass plate dishead bottom+ Mass plate counter buoy+ Mass plate dishead top
= ((πDb)*Hb*t)*ρs + (((4π(Db/2)*(Db/2)*Dt)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt-t))/3))/2)*ρs + ((πdb*hb*t) + ((πdb²/4)*t))*ρs + (((4π(Db/2)*(Db/2)*Dt2)/3)-((4π((Db/2)-t)*((Db/2)-t)*(Dt2-t))/3))/2)*ρs
= 390.44016 + 287.88 + 168.11 + 199.99
= 1046.41 Kg
Rb = U-(((Mb+mc*L)/ρw)+ ((BB/ρw)+KW)
2.57 = 5.43 - 1.53 - 0.07 - KW
1/2 Volume displace water = Volume counter weight + Volume Dishead bottom
1.43 = (πdb²/4)*hb + (4π/3)*(Db/2)*(Db/2)*X/2
1.43 = 0.47 + 2.53 X
1.43 - 0.47 = 2.53 X
0.96 = 2.53 X
X = 0.38 m
Center of Metacentre
MB = I/(Volume water displaced)
= π(Db^4)/64/Volume Displace Water
= π(2,2^4)/64/Volume Displace Water
= 0.40 m
MG = MB - GB
= MB - (GO-BO)
= 0.40 -( 0.26 - 0.38 )
= 0.51
MG › 0 BUOY STABLE
berat sturcture 6m 18.4 kg 3.066667
2500 Panjang structure
2500 l1 1975 7900
455 l2 636 2544
l3 522 2088
l4 408 1632
l5 400 1600
l6 685 2740 18504
ltotal 18.504 56.7456
5000
Panjang total 23504 mm
23.504 m
72.1 Kg
0.75988 778.1171
0.18997 194.5293
1024 583.5878
D r t V
Vsilinder 2.2 1.1 0 0.00
Vhead1 2.2 1.1 0.38 0.96
Counter 1.1 0.55 0.5 0.47
1.44
1.4300
D r t V
Vsilinder 2.2 1.1 0.9 3.42
Vhead1 2.2 1.1 0.46 1.17
Vhead2 2.2 1.1 0.15 0.38
Counter 1.1 0.55 0.5 0.47
5.44
Tho 1007.397 18.10958
p 21.79
g 9.81
Hm 14
L 21
3.80
1916
647
533
419
400
722
641
300
5578 22312
22.312
76.23267