VESSEL BERTHING ENERGY CALCULATIONS
1. SHIP RELEVANT DATAS：
1.1 . 40000T
draft ：11.4m
Length Overall All:250m
1.2. 40000T
draft ：10.0m
Length Overall All:228m
2. VESSEL BERTHING ENERGY CALCULATION：
a) Calculations were made based on following formula：
E﹦0.5nd/g×Cm×Cs×Cc×Ce×Vb²
nd = ship berthing including seawater movement added mass = 1.33W
g = Gravity Acceleration
Cm = 1＋hydrodynamic mass Hm/displacement W
Hm = ЛD² /4×L×d
D = draft
L = Length Overall All
d = seawater density (1.025）
Cs = Softness Coefficient, normally takes 1
Cc = Berthing Coefficient, normally open type takes 1 and solid quay wall takes 0.8
Ce = Eccentricity Coefficient = K²/（K²＋R²）
K= ship berthing radius ，set as L/4，R = distance between buffering point and center of gravity
Vb－ship normal berthing speed
b) Berthing Energy Calculation：
Based on the following formula：
E﹦0.5nd/g×Cm×Cs×Cc×Ce×Vb²
3. Ship Berthing Energy：
3.1. 40000T
draft ：11.4m
Length Overall All:250m
Hm=ЛD²/4×L×d=3.14X11.4²/4X250X1.025=26142
nd=1.33W＝1.33×40000＝53200
Cm=1＋26142/40000＝1.654
Ce=Eccentricity Coefficient takes 1.0 , Cc=0.8, Cs=1
Vb ：0.08m/s
E = 0.5nd/g×Cm×Cs×Cc×Ce×Vb=0.5×53200/9.8×1.654×0.8×1.0×1.0×0.08 ²=22.986T-M
3.2. 40000T
draft ：10.0m
Length Overall All:228m
Hm=ЛD²/4×L×d=3.14X10²/4X228X1.025=18345
nd=1.33W＝1.33×40000＝53200
Cm=1＋18345/40000＝1.459
Ce=Eccentricity Coefficient takes 1.0 , Cc=0.8, Cs=1
Vb ：0.08m/s
E = 0.5nd/g×Cm×Cs×Cc×Ce×Vb=0.5×53200/9.8×1.459×0.8×1.0×1.0×0.08 ²=20.276T-M
