Page 282 - statbility for masters and mates

270
or
Ship Stability for Masters and Mates
Total thrust on A wEgEAEDepth of centroid wEgEAEhEsin y
Moment of total thrust about OY wEgEAEhEsin yEX
; wEgEAEhEsin yEX wEgEsin yE x2EdA x2EdA
X hA (Unless sin y 0)
Let IOY be the second moment of the area about OY, then
and or

IOY x2EdA X I OY
hA
X Second moment of area about the waterline First moment of area about the waterline
Centres of pressure by Simpson's Rules
Using Horizontal Ordinates
Referring to Figure 30.4:
Thrust on the element wEgExEyEdx
Moment of the thrust about OY wEgEx2EyEdx
Moment of total thrust about OY wEgEx2EyEdx
wEg
Total Thrust wEgEAEDepth of centroid
xEyEdx yEdxE yEdx
wEgE
Moment of total thrust about OY Total Thrust X
wEgE

x2EyEdx
xEyEdx