Ship Stability

Preface ix

Useful formulae xi

Ship types and general characteristics xv

Ship stability – the concept xvii

I First Principles 1
Length, mass, force, weight, moment etc.
Density and buoyancy
Centre of Buoyancy and Centre of Gravity
Design co-effts : Cb, Cm, Cw, Cp and CD
TPC and fresh water allowances
Permeability ‘ ’ for tanks and compartments
Fulcrums and weightless beams

II Simpson’s Rules – Quadrature 19
Calculating areas using 1st, 2nd and 3rd rules
VCGs and LCGs of curved figures
Simpsonising areas for volumes and centroids
Comparison with Morrish’s rule
Sub-divided common intervals
Moment of Inertia about amidships and LCF
Moments of Inertia about the centreline

III Bending of Beams and Ships 36
Shear force and bending moment diagrams for beams
Strength diagrams for ships

IV Transverse Stability (Part 1) 51
KB, BM, KM, KG and GM concept of ship stability
Proof of BM D I/V
Metacentric diagrams
Small angle stability – angles of heel up to 15°
Large angle stability – angles of heel up to 90°
Wall-sided format for GZ
Stable, Unstable and Neutral Equilibrium
Moment of weight tables
Transverse Stability (Part 2) 74
Suspended weights