07/10/2014
Hydrostatics and Stability
Dr B S Lee
b.s.lee@strath.ac.uk
Tel 0141 548 4782
HD 2.33
Hydrostatics
Statics
branch of mechanics
physical systems in static equilibrium
Hydro
water or water environment
Hydrostatics
studies of fluid at rest
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Stability
the ability of the vessel to return to the normal
operating attitude, when disturbed from this
attitude, without endangering itself or the
cargo and human life it carries
Topics Covered
Principal dimensions, form coefficients and
representation of hull form
Flotation and hydrostatic quantities
Numerical integration
First moments
Second moments
Longitudinal stability
Transverse stability
Dynamical stability and regulations
Introduction to damage stability
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VLCC
Bulk Cairrier
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Cruise Ship
Ship - Key Parts
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Longl Dimensions
Longl Dimensions
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Longl Dimensions
Transverse Dimensions
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Transverse Dimensions
Volumes and Weights
volume displacement in m3
mass displacement in tonnes
Lightship in tonnes
Deadweight (DWT) in tonnes
= LSHIP + DWT
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Volumes and Weights contd
=
= 1.0 tonne/m3 fresh water
1.025 tonnes/m3 salt (sea) water
GT (Gross tonnage) = K x V, K = 0.2 + 0.02 log10 V
1 GRT = 100 cuft = 2.83168 m3
0.5919 GT = 1 GRT
Block Coefficient (CB)
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Maximum Section Coefficient (CX)
Midship Section Coefficient (CM)
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Midship Section Coefficient (CM)
CM =
AM
B T
Usually
CM =CX
Prismatic Coefficient (CP)
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Waterplane Area Coefficient (CW)
CW =
AW
LWL B
Vertical Prismatic Coefficient (CVP)
CVP =
AW T
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Summary
L B T
A
CM = M
B T
C B = C P CM
CP =
L AM
CB =
CW =
AW
L B
Typical Form Coefficients
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Typical Form Coefficients
CB
CM
CW
Ex. 1
LWL
B
TM
AM
AW
14.251m
4.52m
1.908m
58.536m3
6.855m2
47.595m2
Find CB, CWL, CM and CP
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Ex. 2
Lpp = 205.74 m
B = 28.955 m
Complete the table.
Co-ordinate System
Origin usually at
(midship, WL),
(midship, BL),
(AP, WL),
(AP, BL)
Right hand rule
+x fwd
+z up or down
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Representation of Hull Form
Table of offsets
Line plan
Surface modelling
Rendered view
Table of Offsets
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Table of Offsets
Stations
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Station Numbering
0 at FP and 10 (or 20) at AP in USA
0 at AP and 10 (or 20) at FP in the rest of the
world
Often half stations and quarter stations or
more divisions near stern and bow where
sections change shape
Waterlines
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Buttocks
Lines Plan
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Lines Plan
Body Plan
Curved
Mixture
Simple
Structure
Irregular
Structure
Flat
Regular
Structure
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Surface Mesh Modelling
Curved
Mixture
Simple
Structure
Irregular
Structure
Flat
Regular
Structure
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Rendered Display
Other Ratios
B/T (beam-to-draught ratio)
L/B (length-to-beam ratio)
Length coefficient of Froude, or lengthL
displacement ratio
volumetric coefficient
L3
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