Motion Loads on Cargo or Containers on ship
Length perpendicular
L bp = m
B = m
Depth moulded
D = m
draught (design)
d = m
Central of floatation
LCF = m forward of AP
Metacentric height
GM = m => 0.05B LR
Roll centre
RC = m see notes (1)
Roll period
TR = sec. " (2)
Max. roll amplitude
QR = deg. " (3)
Pitch period
TP = sec. " (4)
Max. pitch amplitude
F = deg. " (5)
Heave period
TH = sec. " (6)
notes:
(1) Roll centre
RC = {0.5[ D + d ]}
2
= m
(2) Roll period
TR = 0.8B
= sec.
(3) Max. Roll Amplitude, QR = 3150 C
B + 75
Where C,
for ships with bilge keel when TR 20 sec
0.75 for ships with bilge keel when TR 30 sec
C may be interpolated between 0.75 and 0.9 when TR falls between 20 afd 30 seconds.
Hence,
C = sec.
QR = deg.
(4) Pitch period TP =  7 - (183 - L)(0.0123)
= sec.
(5) Max. pitch amplitude, F = deg 120f<L<275m
(6) Heave period TH =
= deg.
Assumption:
Container unit weight W
= 1 ton
Condition A - Roll and Heave
Vert. Load   W.Av = W[cosQR +/- 0.00226(p3QR/TR2).y + 0.0051(p2L/TH2)cosQR
=
=
Trans. Load   W.AT = W[sinQR + 0.00226(p3QR/TR2).z + 0.0051(p2L/TH2)sinQR
=
=
Condition B - Pitch and Heave
Vert. Load   W.Av = W[cosF +/- 0.00226(p3F/Tp2).x + 0.0051(p2L/TH2)cosF
=
=
Longi. Load   W.AT = W[sinF + 0.00226(p3F/Tp2).z + 0.0051(p2L/TH2)sinF
=
=
LCG of Cargo =
VCG of Cargo = m up from B.L.
AVR
ATR
AVP
ALP