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Ship Construction & Naval Architecture

Ship Dimensions & Basic Naval Architecture Definitions

The surveyor's vocabulary: principal dimensions, form coefficients, propeller slip terms, and hull plating names.

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Ship Construction & Naval Architecture
Key Principles at a Glance 6 points
  • Principal dimensions include Length Overall (extreme fore to aft), Length Between Perpendiculars (used for calculations), breadth extreme/moulded, depth extreme/moulded and draught extreme/moulded.
  • Freeboard is the distance from the waterline to the top of the deck plating at the side amidships, and represents the vessel's safety margin.
  • Form coefficients describe hull shape: waterplane area (Cw), midship section (Cm), block (Cb) and prismatic (Cp) coefficients.
  • Hydrostatic terms include Archimedes' principle, displacement, TPC = (waterplane area × density)/100, centres of gravity and buoyancy, metacentric height and reserve buoyancy.
  • Propeller terms describe slip and efficiency: pitch, diameter, pitch ratio, theoretical speed, wake, wake fraction, speed of advance, real slip, apparent slip and skew.
  • Hull plating terms include strake, garboard strake, bilge strake, sheer strake, stealer strake, stringer, margin plate, coffin plate, shoe plate, bulwark, freeing port and gunwale.

1. Principal Dimensions & Hull Form

Idea in one line: three lengths, one breadth and a depth-equals-draught-plus-freeboard rule fix every number the surveyor will ask for.

  • Length overall (LOA): The distance from the extreme fore part of the ship to a similar point aft — the greatest length of the ship. Important when docking.
  • Length between perpendiculars (LBP): The fore perpendicular is where the Summer Load Waterline crosses the stem; the after perpendicular is the after side of the rudder post (or the centre of the rudder stock if no rudder post). The distance between them is used for ship calculations.
  • Breadth extreme: The greatest breadth measured to the outside of the shell plating.
  • Breadth moulded: The greatest breadth measured to the inside of the shell plating.
  • Depth extreme: Depth from the underside of the keel to the top of the deck beam at the side of the uppermost continuous deck amidships.
  • Depth moulded: The depth measured from the top of the keel.
  • Draught extreme: Distance from the bottom of the keel to the waterline (load draught = maximum permitted).
  • Draught moulded: The draught measured from the top of the keel to the waterline.
  • Freeboard: Distance from the waterline to the top of the deck plating at the side amidships. It is the safety margin showing to what depth a ship may be loaded. Its purpose is to ensure she cannot be loaded beyond her strength, to provide adequate reserve buoyancy, and to keep the deck high enough for the crew to work.
  • Camber (round of beam): The transverse curvature of the deck from centreline down to the sides, to drain water to the sides.
  • Sheer: The curvature of the deck fore and aft, rising from amidships to a maximum at the ends. Sheer forward is usually twice that aft; it makes a ship more seaworthy.
  • Rise of floor: The bottom shell is sometimes sloped up from the keel to the bilge to aid drainage (150 mm is usual).
  • Bilge radius: The radius of the arc connecting the side to the bottom at the midship portion.
  • Tumblehome: Where the midship side shell near the upper deck curves inwards towards the centreline, reducing the upper deck width.
  • Bulwark: A solid wall extending above an exposed deck for the safety of the crew (at least 1 m high; stay spacing not exceeding 1.2 m on the forecastle).
  • Gunwale: The upper edge of the ship's side where the sheer strake meets the deck plating.
  • Margin line: An imaginary line drawn at least 76 mm below the upper surface of the bulkhead deck at side; it denotes the limit to which the ship can be flooded/loaded without sinking.

Lengths — LOA / LBP / LWL

LOA spans extreme ends for docking and berths. LBP runs AP to FP for every hydrostatic calculation. LWL is the actual immersed length on the summer waterline.

Verticals — D = d + f

Moulded depth equals draught plus freeboard. Draught pays for buoyancy; freeboard banks reserve buoyancy and keeps the deck workable for the crew.

Transverse — B, camber, sheer

Breadth sets deck area and stability. Camber sheds water off the deck; sheer lifts the ends clear of head seas.

The one law to memorise

Moulded depth (D) = draught (d) + freeboard (f). Any two fix the third — the surveyor's favourite cross-check.

Interactive 3D: Principal Dimensions & Hull Form

Orbit the hull and pick any dimension to isolate it. Switch modes across LOA / LBP / LWL & perpendiculars, depth / draught / freeboard, breadth & midship section and sheer & camber. Use Full Screen to view the model without the side panel.

Loading interactive 3D ship dimensions model…
PRINCIPAL SHIP DIMENSIONS (PROFILE & PLAN) LOA, LBP, LWL, MOULDED DEPTH, DRAUGHT & BREADTH PROFILE: LONGITUDINAL & VERTICAL Summer Load Waterline (WL) Deck sheer line Moulded Keel Baseline (K) AP FP LOA — Length Overall (Docking) LBP — Between Perpendiculars (AP↔FP) LWL — Length on Summer Waterline Freeboard (f) Draught (d) Depth (D) = d + f PLAN VIEW & TRANSVERSE BREADTH Breadth (Beam) B MIDSHIP SECTION FORM Camber (Round of Beam) ≈ B ÷ 50 Rise of Floor (Deadrise) at Keel LONGITUDINAL DIMENSIONS • LOA: extreme length from stem to stern • Key parameter for drydocks & berths • LBP: distance between AP and FP • Regulatory basis for hull calculations • LWL: actual immersed length on waterline VERTICAL DIMENSIONS • Moulded Depth (D): keel to deck edge • Draught (d): keel to load waterline • Freeboard (f): waterline to freeboard deck • Fundamental law: Depth D = d + f • Freeboard provides reserve buoyancy TRANSVERSE & FORM TERMS • Moulded Breadth: inside of shell frames • Extreme Breadth: spans rub rails/fenders • Camber: deck curvature shedding water • Sheer: upward longitudinal deck rise • Rise of Floor: bottom deadrise angle
Figure 1: Principal dimensions. LOA spans extreme ends for navigation and docking; LBP runs between after (AP) and forward (FP) perpendiculars for hydrostatic calculations; LWL is measured on the summer load waterline. Depth equals draught plus freeboard; breadth and camber define transverse volume and weather shedding.
Ship profile showing LOA, LBP, depth, draught and freeboard
Figure: Ship profile — LOA, LBP, moulded depth, draught and freeboard.

2. Hydrostatics & Form Coefficients

Idea in one line: each coefficient compares the real hull to its enclosing box, turning shape into numbers that predict sinkage, capacity and resistance.

  • Archimedes' principle: If a solid body is immersed in a liquid there is an apparent loss in weight; this loss is the upthrust exerted by the liquid and is equal to the weight of the liquid displaced.
  • Displacement: When a ship floats freely at rest, the mass of the ship equals the mass of the water displaced — this is the displacement.
  • TPC (tonne per centimetre immersion): The mass required to increase the mean draught by 1 cm. TPC = (Aw × density) / 100.
  • Metacentre (M): The point where a vertical line through the centre of buoyancy of an inclined ship intersects the vertical line through the centre of gravity in equilibrium.
  • Waterplane area coefficient (Cw): Ratio of the waterplane area to the product of length and breadth.
  • Midship section area coefficient (Cm): Ratio of the immersed midship area to (breadth × draught).
  • Block coefficient (Cb): Ratio of the volume of displacement to (length × breadth × draught).
  • Prismatic coefficient (Cp): Ratio of the volume of displacement to (length × immersed midship area).
  • Wetted surface area: Area of hull in contact with water, found from transverse girths via Simpson's Rule plus a percentage for longitudinal curvature, plus appendages (cruiser stern, rudder, bilge keels). (Denny's and Taylor's equations are used.)
  • Centre of gravity (G): The point at which the whole weight may be regarded as acting; if suspended there, the body balances.
  • Centre of buoyancy (B): The point through which the total force of buoyancy acts.
  • Metacentric height (GM): Distance between the centre of gravity and the transverse metacenter.
  • Longitudinal Centre of Flotation (LCF): The point about which the ship trims when weights are loaded/discharged; if weight is added at the LCF, trim does not change — only draught changes.
  • Permeability (µ): Ratio of the volume assumed occupied by water to the total volume of a compartment. µ ≈ 85% for machinery space, 95% for accommodation, 60% average for cargo hold.
  • Buoyancy: The upthrust exerted by water on the ship; if floating freely, buoyancy equals the weight of the ship.
  • Reserve buoyancy: The potential buoyancy depending on the intact watertight volume above the waterline; if mass is added or buoyancy lost by bilging, reserve buoyancy is converted into buoyancy by increasing draught.
TPC = Awρ/100Tonnes per cm sinkage
Cb ≈ 0.85 / 0.65Tanker full / boxship fine
Cp = Cb/CmEnds fining, wavemaking
CoefficientFormulaWhat it predicts
Cw (waterplane)Aw ÷ (L × B)TPC, sinkage, BM inertia
Cm (midship)Am ÷ (B × d)Section fullness, bilge radius
Cb (block)∇ ÷ (L × B × d)Displacement, capacity, resistance
Cp (prismatic)∇ ÷ (L × Am)End taper, wavemaking drag
LCF trim rule

Load or discharge exactly at the Longitudinal Centre of Flotation and trim does not change — only mean draught moves. Anywhere else, the ship trims about the LCF.

TPC in one breath?

Mass to sink the ship 1 cm: waterplane area times density over 100. Big flat waterplane, big TPC.

Cb vs Cp — which answers what?

Cb answers how full the whole underwater block is; Cp answers how full the ends are for a given midship section. Finer ends, lower Cp, less wavemaking.

FORM COEFFICIENTS & HYDROSTATIC RATIOS COMPARISON OF HULL SHAPES TO ENCLOSING BOUNDING BOXES WATERPLANE — Cw L × B Enclosing Box Cw = Aw ÷ (L × B) • Aw = waterplane area • Full hull (tanker): ≈ 0.85–0.90 • Fine hull (boxship): ≈ 0.70–0.75 • Governs waterplane inertia • Direct input to TPC & BM MIDSHIP SECTION — Cm B × d Enclosing Box Cm = Am ÷ (B × d) • Am = immersed midship area • Commercial ships: ≈ 0.97–0.99 • Small bilge radius = high Cm • U-sections run fuller than V • Connects Cb to Prismatic Cp BLOCK — Cb L × B × d Bounding Block Cb = ∇ ÷ (L × B × d) • ∇ = underwater volume (m³) • Tanker / Bulker: ≈ 0.80–0.86 • Containership: ≈ 0.60–0.68 • Fast naval craft: ≈ 0.45–0.50 • Total displacement Δ = ∇ × ρ PRISMATIC — Cp L × Am Extruded Prism Cp = ∇ ÷ (L × Am) = Cb ÷ Cm • Isolates longitudinal fining • Fine fast ship: ≈ 0.58–0.65 • Full cargo ship: ≈ 0.80–0.85 • Dictates wavemaking drag • Reflects bluntness of ends WATERPLANE & SINKAGE (Cw / TPC) • Cw = Aw ÷ (L × B) (waterplane ratio) • High Cw provides large transverse BM • TPC = (Aw × ρ) ÷ 100 (t/cm immersion) • Aw = 2,500 m², seawater ρ = 1.025 t/m³ • TPC = 25.6 t/cm (100 t sinks hull ~3.9 cm) BLOCK COEFFICIENT & TONNAGE (Cb) • Cb = ∇ ÷ (L × B × d) (volume ratio) • Displacement Δ = L × B × d × Cb × ρ • Tankers: Cb ≈ 0.82–0.86 (slow, full) • Boxships: Cb ≈ 0.60–0.68 (fine, fast) • Lower Cb cuts wavemaking resistance PRISMATIC & STABILITY LINKS • Cm = Am ÷ (B × d) (midship fullness) • Cp = ∇ ÷ (L × Am) = Cb ÷ Cm • Evaluates taper of fore and aft ends • Reserve Buoyancy: intact volume above WL • LCF: loading weight causes zero trim change
Figure 2: Form coefficients. Each coefficient compares the actual immersed hull shape with its ideal enclosing geometric box: Cw compares the waterplane to an L × B rectangle; Cm compares the midship section to a B × d rectangle; Cb compares underwater volume to an L × B × d block; Cp compares volume to an L × Am extruded prism. TPC converts waterplane area into immersion depth.
Midship section showing breadth, depth, camber, sheer and bilge form
Figure: Midship section — breadth, camber, rise of floor and bilge form.

3. Propeller & Slip Terms

Idea in one line: the propeller is a screw in a yielding fluid — pitch times revs promises a speed the stern wake never quite lets it keep.

  • Pitch of propeller: The distance the propeller will move forward in one revolution of the shaft.
  • Diameter of propeller: The diameter of the circle (disc) cut out by the blade tips.
  • Pitch ratio: The face pitch divided by the diameter.
  • Theoretical speed (Vt): The distance the propeller would advance in unit time if working in an unyielding fluid: Vt = P × N (m/min), or Vt = (P × N × 60) / 1852 knots.
  • Wake: The water which is in motion at the stern of a ship as a result of the ship's movement.
  • Wake fraction: The ratio of the wake speed to the speed of advance.
  • Speed of advance (Va): The speed of the ship relative to the wake.
  • Real (true) slip: The difference between theoretical speed and speed of advance: Real slip = ((Vt − Va) / Vt) × 100%.
  • Skew: The offset of a propeller blade from the vertical in the plane of rotation; always in the direction opposite to rotation.
  • Slip: The difference between the actual distance travelled by a ship and the theoretical distance given by (pitch × revolutions), usually expressed as a percentage; can be negative with a current or following wind.
  • Apparent slip: Because the propeller works in water, the ship speed V is normally less than the theoretical speed; the difference between the two speeds.
Vt = P × NScrew promise, no slip
18.8 knP 5.8 m × 100 RPM
25–35%Typical real slip
SpeedMeaningSlip built on it
Vt — theoreticalPitch × revs in a solid mediumBaseline both slips use
Va — advanceShip speed relative to stern wakeReal slip = (Vt − Va)/Vt
V — shipSpeed through the waterApparent slip = (Vt − V)/Vt
Real always positive, apparent can go negative

Real slip against the wake is always positive — water yields. Apparent slip against the log can turn negative with a favouring current or following sea pushing the ship faster than the screw promises.

PROPELLER GEOMETRY, KINEMATICS & SLIP RATIOS PITCH (P), DIAMETER (D), THEORETICAL SPEED & SLIP 1 · PROPELLER DIAMETER (D) Diameter D Disc Area = π × (D² ÷ 4) Tip-to-tip swept blade circle Pitch Ratio = P ÷ D 2 · PITCH (P) — SCREW ADVANCE P Vt = (P × N × 60) ÷ 1852 knots • 1 full revolution (360°) advances P • Assumes motion in unyielding solid • P = 5.8 m, N = 100 RPM → Vt = 18.8 kn Theoretical speed without water slip 3 · APPARENT VS REAL SLIP Vt (18.8 kn) V (16.0 kn) Slip Apparent Slip = (Vt − V) ÷ Vt × 100% Real Slip = (Vt − Va) ÷ Vt × 100% • Apparent slip in example: ≈ 14.9% • Va = ship speed relative to wake • Real slip is strictly positive PROPELLER GEOMETRY • Diameter (D): tip-to-tip swept circle • Pitch (P): axial advance per revolution • Pitch Ratio = P ÷ D (typically 0.7–1.1) • Skew: backward sweep in disc plane • Rake: blade tilt forward or aft THEORETICAL SPEED (Vt) • Advance rate in unyielding medium • Formula: Vt = (P × N × 60) ÷ 1852 • P = 5.8 m, N = 100 RPM → Vt = 18.8 kn • Water yields under thrust, causing slip • Ship speed V is retarded below Vt SLIP & WAKE FRACTION • Apparent Slip = (Vt - V) ÷ Vt × 100% • Real Slip = (Vt - Va) ÷ Vt × 100% • Forward wake current reduces Va < V • Real slip is always positive (~25–35%) • Apparent slip can turn negative in storm
Figure 3: Propeller terms. Diameter is the tip-to-tip disc; pitch is the forward advance per revolution — the screw principle, where P × N yields the theoretical speed. The difference between theoretical and actual ship speed defines slip, accounting for the stern wake fraction.
Propeller geometry showing pitch, diameter, skew and slip
Figure: Propeller geometry — pitch, diameter, pitch ratio and slip.

4. Hull Plating & Structural Terms

Idea in one line: strakes are longitudinal strength members, and the thickest ones sit exactly where hull bending stress peaks.

  • Strake: The external hull consists of bottom shell, side shell and deck formed by longitudinal strips of plating called strakes — a continuous range of plate extending from stem to stern.
  • Bilge strake: The strake at the turn of the bilge.
  • Stealer strake: Where a number of adjacent strakes are fitted together at the end of the ship.
  • Garboard strake: The strake adjacent to the keel on each side of the ship.
  • Sheer strake: The largest continuous strake at the top of the side, meeting the upper deck. It is 10–20% thicker than other side plating because it is subjected to maximum compressive and tensile stress during hull bending.
  • Stringer: Stiffeners used to strengthen the side surface of the ship; without stringers the hull shape would not be formed.
  • Coffin plate: Used to connect the stern frame to the flat plate keel.
  • Shoe plate: Used to connect the stem to the flat plate keel.
  • Margin plate: At the bilges, the tank top may be continued straight out to the shell by a tank margin plate — watertight and set at about 45° to the tank top, meeting the shell almost at right angles.
  • Freeing port: Openings in a bulwark to let water drain; area depends on the length of the well deck, with the lower edge as near the deck as possible, protected by rails about 230 mm apart, and hinged flaps with non-corrodible hinges.
  • Buttock line: An equidistant longitudinal section line from midships forward, giving the cross-section at various stations for all draughts and trims; used to find light displacement at the end of construction.
  • Transom space: Situated in the steering gear room near the rudder trunk, with a manhole door for inspecting rudder trunk condition and lubrication; entry only in port in calm weather.

Frame & Plate Numbering — Reading the Shell Expansion Plan:

  • What it is: a two-dimensional drawing of the three-dimensional hull surface, developed from the ship's lines plan — contour lines erected straight on a base line representing the ship's length at the stations of their frame numbers, joined into the shell outline, then ruled with vertical and horizontal lines matching exactly the strakes of one half of the hull.
  • Frames: numbered from Frame 0 at the rudder stock, counting forward to the stem; plans mark every 5th frame. Frames abaft Frame 0 count negative (rudder stock is not the aftermost part). Spacing 600–950 mm — close enough that every part stays reachable for inspection and maintenance, wide enough for a welder to weld properly.
  • Strakes (athwartship): read off the half-breadth plankeel strake on the centreline (half to port, half to starboard), then Garboard = A, B, C… up to the sheer strake (topmost side strake), lettered upward.
  • Plates (lengthwise): counted aft → forward in numbers — each plate is a letter (level) + number (position), e.g. the aft-to-forward run of B-strake reads B1, B2, B3…
FRAMES: 0 AT STOCK fwd +, abaft −, 600–950 mm STRAKES: KEEL → A → B up to SHEER, lettered PLATES: AFT → FWD letter + number, e.g. B3 PLAN = LINES PLAN FLATTENED ON BASE LINE contours at frame stations → outline → strake grid of half hull
Figure 4: Shell expansion numbering. Frames count forward from 0 at the rudder stock (negative abaft, 600–950 mm apart); strakes letter upward from keel through Garboard A to sheer; plates number aft-to-forward so every plate is letter + number.
Shell expansion plate grid — strakes lettered, plates numbered aft to forward
Reference diagram (source notes): the shell expansion plate grid — lettered strakes J→A with numbered plates aft-to-forward. Source: Shell Expansion Plan notes.
Shell expansion drawing of the hull with numbering mind-map
Reference diagram (source notes): the shell expansion drawing with its numbering mind-map. Source: Shell Expansion Plan notes.

Shell strakes

Sheer strake on top (10–20% thicker for bending), bilge strake round the turn, garboard strake flanking the keel, stealers gathering the ends.

Inner bottom

Tank top plus margin plate at about 45° close the double bottom at the bilges; centre girder and stringers carry the longitudinal load.

Ends & openings

Shoe plate joins stem to keel, coffin plate joins stern frame to keel, freeing ports shed shipped seas off the well deck.

Why the sheer strake is thickest

Hogging and sagging put peak tension and compression at the deck edge amidships. The sheer strake lives exactly there — extra thickness is extra beam flange.

HULL PLATING STRAKES & MIDSHIP SCANTLINGS SHEER STRAKE, GARBOARD STRAKE, MARGIN PLATE & STRINGERS Deck Camber (Round of Beam) Flat Plate Keel (Centerline) Sheer Strake (10–20% Thicker) Side Shell Strakes Bilge Strake (Turn of Bilge) Garboard Strake (Adjoining Keel) Deck Stringer Plate & Gunwale Side Stringer (Longitudinal Stiffener) Tank Top (Inner Bottom Plating) Margin Plate (≈ 45° Bilge Closure) PRINCIPAL SHELL STRAKES • Strake: longitudinal line of hull plates • Sheer strake: top row meeting main deck • 10–20% thicker to resist bending stress • Garboard strake: flanks flat keel plate • Bilge strake: covers round turn of bilge DOUBLE BOTTOM & MARGIN • Tank top forms inner watertight barrier • Margin plate terminates tank at bilges • Angled at ≈ 45° to meet shell normally • Bilge well sits outboard for drainage • Center girder provides backbone strength SPECIAL PLATES & OPENINGS • Shoe plate: joins stem casting to keel • Coffin plate: connects stern frame to keel • Stealer strake: unites converging strakes • Freeing ports: flaps in weather bulwarks • Rapidly shed heavy seas off well decks
Figure 5: Hull plating on the midship section. The sheer strake (10–20% thicker) withstands peak hogging/sagging bending stresses; the garboard strake flanks the flat plate keel; the margin plate connects the inner bottom to shell at approximately 45°; stringers provide longitudinal side stiffness.
Bulwark with freeing ports, stays and gunwale
Figure: Bulwark and freeing ports — 1 m bulwark with drain openings and rails.
Bulwark margin line 76 mm below the bulkhead deck at side
Figure: Bulwark margin — margin line 76 mm below the bulkhead deck marking the flood limit.