naval architecture basic equations & conversions
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8/13/2019 Naval Architecture Basic Equations & Conversions
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EQUATIONS & CONVERSIONS
The following equations and conversions will be given as part of exams:
Densities of water at 59F: FW= 1.94 lb-s2/ft4 SW= 1.99 lb-s
2/ft4
gFW= 62.4 lb/ft3 gSW= 64 lb/ft
3
Miscellaneous: 1 LT = 2240 lb g = 32.17 ft/s2
1 ft3= 7.4805 gal 1 kt = 1.688 ft/s
=L
WP dxxyA0
)(2 =T
Sect dzzyA0
)(2 =L
SectS dxxA0
)( WP
L
A
dxxxy
LCF
= 0
)(2
( )nn yyyyyyyyx
dxxy 14...4242413
)( 1543210 ++++++++
= , n = even number
1#
=stationsof
Lx
pp = gFB
=
LTftin
ftATPI WP
2
2
420
)(
TPI
wTPS=
"1MT
wlTrim=
gzPhyd = hydatmabs PPP += fwdaft TTTrim = 2
aftfwd
mean
TTT
+=
GMKGBMKBKM +=+= TGM
TCG=tan tanGMwt =
PP
aftfwd
aftfwdL
dTrimT
/
/
=
+
+
= iold
iioldold
new w
KgwKG
KG
+
+
= iold
iioldold
new w
TcgwTCG
TCG
))((
aftfwdPSaftfwdinitialaftfwdfinal TTTT //,/, = SS
ttiFSC
=
12
3lbit= , for rectangular shapes
sincossin0011 FSCGGGGZGZG tvv = sinTGMGZ= , for small angles
FSCGMGMeff = =GZMomentRighting
of LLe = o
of
L
LL =
I
My=
A
F=
=E
M
S
L
L=
S
S
M
M
L
V
L
V=
2
21 SV
RC TT
=
SHP
EHPPCp ==
HP
lbft
STVREHP
=sec
550
LVRn =
gL
VFn =
t
propC++
=11
2
2
21
AO
tVA
TC
=
m
k
T==
2
g
VSwwe
cos2
= BG
wl
=tan