










Motion
Loads on Cargo or Containers on ship



Length perpendicular


L bp

=


m


Breadth moulded


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.



Load
for Various Components



Assumption:


Container
unit weight W


=

1

ton



Condition
A  Roll and Heave



Vert. Load


W.Av

=

W[cosQR +/ 0.00226(p^{3}QR/T_{R}^{2}).y + 0.0051(p^{2}L/T_{H}^{2})cosQR


=




=




Trans. Load


W.AT

=

W[sinQR + 0.00226(p^{3}QR/T_{R}^{2}).z + 0.0051(p^{2}L/T_{H}^{2})sinQR


=




=




Condition
B  Pitch and Heave



Vert. Load


W.Av

=

W[cosF +/ 0.00226(p^{3}F/T_{p}^{2}).x + 0.0051(p^{2}L/T_{H}^{2})cosF


=




=




Longi. Load


W.AT

=

W[sinF + 0.00226(p^{3}F/T_{p}^{2}).z + 0.0051(p^{2}L/T_{H}^{2})sinF


=




=




LCG of Cargo

=



VCG of Cargo

=


m up from B.L.




AVR




ATR




AVP




ALP






